0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.09/0.36 % Computer : n003.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 09:26:53 UTC 2026 0.09/0.37 % CPUTime : 0.09/0.41 0.09/0.41 No.of.Axioms: 66 0.09/0.41 0.09/0.41 Length.of.Defs: 5324 0.09/0.41 0.09/0.41 Contains.Choice.Funs: false 0.09/0.45 (rf:0,axioms:66,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:68,loop_count:0,foatp_calls:0,translation:fof_full)........................................................................ 0.65/0.99 0.65/0.99 ******************************** 0.65/0.99 * All subproblems solved! * 0.65/0.99 ******************************** 0.65/0.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1281,loop_count:0,foatp_calls:1,translation:fof_full) 1.45/1.75 1.45/1.75 %**** Beginning of derivation protocol **** 1.45/1.75 % SZS output start CNFRefutation 1.45/1.75 thf(tp_mu,type,(mu: $tType)). 1.45/1.75 thf(tp_good_in_maths,type,(good_in_maths: (mu>($i>$o)))). 1.45/1.75 thf(tp_good_in_physics,type,(good_in_physics: (mu>($i>$o)))). 1.45/1.75 thf(tp_john,type,(john: mu)). 1.45/1.75 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_mathematician,type,(mathematician: (mu>($i>$o)))). 1.45/1.75 thf(tp_maths_student,type,(maths_student: (mu>($i>$o)))). 1.45/1.75 thf(tp_maths_teacher,type,(maths_teacher: (mu>($i>$o)))). 1.45/1.75 thf(tp_mbox,type,(mbox: (($i>($i>$o))>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_mcountersatisfiable,type,(mcountersatisfiable: (($i>$o)>$o))). 1.45/1.75 thf(tp_mdia,type,(mdia: (($i>($i>$o))>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_meq_ind,type,(meq_ind: (mu>(mu>($i>$o))))). 1.45/1.75 thf(tp_meq_prop,type,(meq_prop: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_mequiv,type,(mequiv: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_meuclidean,type,(meuclidean: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mexists_ind,type,(mexists_ind: ((mu>($i>$o))>($i>$o)))). 1.45/1.75 thf(tp_mexists_prop,type,(mexists_prop: ((($i>$o)>($i>$o))>($i>$o)))). 1.45/1.75 thf(tp_mfalse,type,(mfalse: ($i>$o))). 1.45/1.75 thf(tp_mforall_ind,type,(mforall_ind: ((mu>($i>$o))>($i>$o)))). 1.45/1.75 thf(tp_mforall_prop,type,(mforall_prop: ((($i>$o)>($i>$o))>($i>$o)))). 1.45/1.75 thf(tp_mfunctional,type,(mfunctional: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mike,type,(mike: mu)). 1.45/1.75 thf(tp_mimplied,type,(mimplied: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_mimplies,type,(mimplies: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))). 1.45/1.75 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))). 1.45/1.75 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_mpartially_functional,type,(mpartially_functional: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mreflexive,type,(mreflexive: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_msatisfiable,type,(msatisfiable: (($i>$o)>$o))). 1.45/1.75 thf(tp_mserial,type,(mserial: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_msymmetric,type,(msymmetric: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mtransitive,type,(mtransitive: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mtrue,type,(mtrue: ($i>$o))). 1.45/1.75 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))). 1.45/1.75 thf(tp_mweakly_connected,type,(mweakly_connected: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mweakly_dense,type,(mweakly_dense: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mweakly_directed,type,(mweakly_directed: (($i>($i>$o))>$o))). 1.45/1.75 thf(tp_mxor,type,(mxor: (($i>$o)>(($i>$o)>($i>$o))))). 1.45/1.75 thf(tp_peter,type,(peter: mu)). 1.45/1.75 thf(tp_physics_student,type,(physics_student: (mu>($i>$o)))). 1.45/1.75 thf(tp_r1,type,(r1: ($i>($i>$o)))). 1.45/1.75 thf(tp_r2,type,(r2: ($i>($i>$o)))). 1.45/1.75 thf(tp_r3,type,(r3: ($i>($i>$o)))). 1.45/1.75 thf(tp_r4,type,(r4: ($i>($i>$o)))). 1.45/1.75 thf(tp_r5,type,(r5: ($i>($i>$o)))). 1.45/1.75 thf(tp_sK10_SY249,type,(sK10_SY249: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK11_SY251,type,(sK11_SY251: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK12_SY254,type,(sK12_SY254: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK13_SY259,type,(sK13_SY259: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK14_SY264,type,(sK14_SY264: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK15_SY267,type,(sK15_SY267: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK16_SY269,type,(sK16_SY269: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK17_SY271,type,(sK17_SY271: (($i>$o)>($i>$i)))). 1.45/1.75 thf(tp_sK18_SY274,type,(sK18_SY274: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK19_SY278,type,(sK19_SY278: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK1_SX0,type,(sK1_SX0: $i)). 1.45/1.76 thf(tp_sK20_SY283,type,(sK20_SY283: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK21_SY293,type,(sK21_SY293: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK22_SY296,type,(sK22_SY296: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK23_SY299,type,(sK23_SY299: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK24_SY303,type,(sK24_SY303: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK25_SY308,type,(sK25_SY308: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK26_SY313,type,(sK26_SY313: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK27_SY316,type,(sK27_SY316: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK28_SY324,type,(sK28_SY324: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK29_SY330,type,(sK29_SY330: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK2_SY223,type,(sK2_SY223: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK30_SY333,type,(sK30_SY333: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK31_SY340,type,(sK31_SY340: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK32_SY345,type,(sK32_SY345: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK33_SY348,type,(sK33_SY348: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK34_SY356,type,(sK34_SY356: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK35_SY358,type,(sK35_SY358: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK36_SY363,type,(sK36_SY363: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK37_SY366,type,(sK37_SY366: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK38_SY368,type,(sK38_SY368: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK39_SY371,type,(sK39_SY371: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK3_SY226,type,(sK3_SY226: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK40_SY376,type,(sK40_SY376: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK41_SY381,type,(sK41_SY381: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK42_SY404,type,(sK42_SY404: (mu>$i))). 1.45/1.76 thf(tp_sK43_SY383,type,(sK43_SY383: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK44_SY246,type,(sK44_SY246: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK45_SY255,type,(sK45_SY255: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK46_SY284,type,(sK46_SY284: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK47_SY388,type,(sK47_SY388: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK48_SY300,type,(sK48_SY300: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK49_SY393,type,(sK49_SY393: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK4_SY231,type,(sK4_SY231: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK50_SY349,type,(sK50_SY349: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK51_SY398,type,(sK51_SY398: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK52_SY400,type,(sK52_SY400: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK53_SY246,type,(sK53_SY246: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK54_SY385,type,(sK54_SY385: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK55_SY255,type,(sK55_SY255: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK56_SY386,type,(sK56_SY386: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK57_SY387,type,(sK57_SY387: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK58_SY284,type,(sK58_SY284: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK59_SY390,type,(sK59_SY390: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK5_SY234,type,(sK5_SY234: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK60_SY300,type,(sK60_SY300: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK61_SY391,type,(sK61_SY391: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK62_SY392,type,(sK62_SY392: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK63_SY395,type,(sK63_SY395: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK64_SY396,type,(sK64_SY396: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK65_SY397,type,(sK65_SY397: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK66_SY349,type,(sK66_SY349: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK67_SY402,type,(sK67_SY402: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK68_SY403,type,(sK68_SY403: ($i>(mu>($i>$i))))). 1.45/1.76 thf(tp_sK69_SY455,type,(sK69_SY455: ($i>($i>(($i>$o)>($i>$i)))))). 1.45/1.76 thf(tp_sK6_SY237,type,(sK6_SY237: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK70_SY456,type,(sK70_SY456: ($i>($i>(($i>$o)>($i>$i)))))). 1.45/1.76 thf(tp_sK71_SY457,type,(sK71_SY457: ($i>($i>(($i>$o)>($i>$i)))))). 1.45/1.76 thf(tp_sK72_SY458,type,(sK72_SY458: ($i>($i>(($i>$o)>($i>$i)))))). 1.45/1.76 thf(tp_sK73_SY459,type,(sK73_SY459: ($i>($i>(($i>$o)>($i>$i)))))). 1.45/1.76 thf(tp_sK7_SY239,type,(sK7_SY239: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK8_SY242,type,(sK8_SY242: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_sK9_SY245,type,(sK9_SY245: (($i>$o)>($i>$i)))). 1.45/1.76 thf(tp_tom,type,(tom: mu)). 1.45/1.76 thf(mand,definition,(mand = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mor@(mnot@Phi))@(mnot@Psi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)). 1.45/1.76 thf(mbox,definition,(mbox = (^[R:($i>($i>$o)),Phi:($i>$o),W:$i]: (![V:$i]: ((~ ((R@W)@V)) | (Phi@V))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 1.45/1.76 thf(mcountersatisfiable,definition,(mcountersatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable)). 1.45/1.76 thf(mdia,definition,(mdia = (^[R:($i>($i>$o)),Phi:($i>$o)]: (mnot@((mbox@R)@(mnot@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)). 1.45/1.76 thf(meq_ind,definition,(meq_ind = (^[X:mu,Y:mu,W:$i]: (X = Y))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind)). 1.45/1.76 thf(meq_prop,definition,(meq_prop = (^[X:($i>$o),Y:($i>$o),W:$i]: ((X@W) = (Y@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop)). 1.45/1.76 thf(mequiv,definition,(mequiv = (^[Phi:($i>$o),Psi:($i>$o)]: ((mand@((mimplies@Phi)@Psi))@((mimplies@Psi)@Phi)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv)). 1.45/1.76 thf(meuclidean,definition,(meuclidean = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => ((R@T)@U))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean)). 1.45/1.76 thf(mexists_ind,definition,(mexists_ind = (^[Phi:(mu>($i>$o))]: (mnot@(mforall_ind@(^[X:mu]: (mnot@(Phi@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind)). 1.45/1.76 thf(mexists_prop,definition,(mexists_prop = (^[Phi:(($i>$o)>($i>$o))]: (mnot@(mforall_prop@(^[P:($i>$o)]: (mnot@(Phi@P))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop)). 1.45/1.76 thf(mfalse,definition,(mfalse = (mnot@mtrue)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse)). 1.45/1.76 thf(mforall_ind,definition,(mforall_ind = (^[Phi:(mu>($i>$o)),W:$i]: (![X:mu]: ((Phi@X)@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)). 1.45/1.76 thf(mforall_prop,definition,(mforall_prop = (^[Phi:(($i>$o)>($i>$o)),W:$i]: (![P:($i>$o)]: ((Phi@P)@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)). 1.45/1.76 thf(mfunctional,definition,(mfunctional = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: (((R@S)@T) & (![U:$i]: (((R@S)@U) => (T = U)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional)). 1.45/1.76 thf(mimplied,definition,(mimplied = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Psi))@Phi))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied)). 1.45/1.76 thf(mimplies,definition,(mimplies = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Phi))@Psi))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 1.45/1.76 thf(minvalid,definition,(minvalid = (^[Phi:($i>$o)]: (![W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid)). 1.45/1.76 thf(mnot,definition,(mnot = (^[Phi:($i>$o),W:$i]: (~ (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 1.45/1.76 thf(mor,definition,(mor = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) | (Psi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 1.45/1.76 thf(mpartially_functional,definition,(mpartially_functional = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (T = U))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional)). 1.45/1.76 thf(mreflexive,definition,(mreflexive = (^[R:($i>($i>$o))]: (![S:$i]: ((R@S)@S)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive)). 1.45/1.76 thf(msatisfiable,definition,(msatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable)). 1.45/1.76 thf(mserial,definition,(mserial = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: ((R@S)@T))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial)). 1.45/1.76 thf(msymmetric,definition,(msymmetric = (^[R:($i>($i>$o))]: (![S:$i,T:$i]: (((R@S)@T) => ((R@T)@S))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)). 1.45/1.76 thf(mtransitive,definition,(mtransitive = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@T)@U)) => ((R@S)@U))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)). 1.45/1.76 thf(mtrue,definition,(mtrue = (^[W:$i]: $true)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue)). 1.45/1.76 thf(mvalid,definition,(mvalid = (^[Phi:($i>$o)]: (![W:$i]: (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 1.45/1.76 thf(mweakly_connected,definition,(mweakly_connected = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => ((((R@T)@U) | (T = U)) | ((R@U)@T)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_connected)). 1.45/1.76 thf(mweakly_dense,definition,(mweakly_dense = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: (((R@S)@T) => (?[U:$i]: (((R@S)@U) & ((R@U)@T))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense)). 1.45/1.76 thf(mweakly_directed,definition,(mweakly_directed = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (?[V:$i]: (((R@T)@V) & ((R@U)@V))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_directed)). 1.45/1.76 thf(mxor,definition,(mxor = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mequiv@Phi)@Psi)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor)). 1.45/1.76 thf(1,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r1)@(mathematician@X)))@((mbox@r1)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_1)). 1.45/1.76 thf(2,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r5)@((mbox@r1)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r5)). 1.45/1.76 thf(3,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r5)@(good_in_physics@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_5)). 1.45/1.76 thf(4,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r4)@((mbox@r2)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r4)). 1.45/1.76 thf(5,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r3)@((mbox@r5)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r3)). 1.45/1.76 thf(6,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r3)@(mathematician@X)))@((mbox@r3)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_3)). 1.45/1.76 thf(7,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r1)@((mbox@r3)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r1)). 1.45/1.76 thf(8,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@(mnot@((mbox@r4)@(mnot@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r4)). 1.45/1.76 thf(9,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r4)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_4)). 1.45/1.76 thf(10,axiom,(mvalid@((mbox@r5)@(maths_student@peter))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a8)). 1.45/1.76 thf(11,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@(mnot@((mbox@r1)@(mnot@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r1)). 1.45/1.76 thf(12,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r5)@((mbox@r5)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r5)). 1.45/1.76 thf(13,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r2)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_2)). 1.45/1.76 thf(14,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r5)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_5)). 1.45/1.76 thf(15,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r2)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r2)). 1.45/1.76 thf(16,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r2)@((mimplies@(good_in_physics@X))@((mdia@r2)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r5)). 1.45/1.76 thf(17,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r1)@Phi)))@((mbox@r1)@(mnot@((mbox@r1)@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r1)). 1.45/1.76 thf(18,axiom,(mvalid@((mbox@r2)@(mathematician@tom))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a7)). 1.45/1.76 thf(19,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r1)@((mbox@r5)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r1)). 1.45/1.76 thf(20,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r3)@((mbox@r3)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r3)). 1.45/1.76 thf(21,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r5)@(mathematician@X)))@((mbox@r5)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_5)). 1.45/1.76 thf(22,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r1)@((mbox@r2)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r1)). 1.45/1.76 thf(23,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r5)@Phi)))@((mbox@r5)@(mnot@((mbox@r5)@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r5)). 1.45/1.76 thf(24,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r2)@((mbox@r1)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r2)). 1.45/1.76 thf(25,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r3)@(good_in_physics@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_3)). 1.45/1.76 thf(26,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r1)@(good_in_physics@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_1)). 1.45/1.76 thf(27,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r3)@((mbox@r4)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r3)). 1.45/1.76 thf(28,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r3)@((mbox@r2)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r3)). 1.45/1.76 thf(29,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r1)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r1)). 1.45/1.76 thf(30,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r4)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r4)). 1.45/1.76 thf(31,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r4)@(mathematician@X)))@((mbox@r4)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_4)). 1.45/1.76 thf(32,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r1)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_1)). 1.45/1.76 thf(33,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r5)@((mbox@r4)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r5)). 1.45/1.76 thf(34,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r3)@Phi)))@((mbox@r3)@(mnot@((mbox@r3)@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r3)). 1.45/1.76 thf(35,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r2)@((mbox@r5)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r2)). 1.45/1.76 thf(36,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r1)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r1)). 1.45/1.76 thf(37,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r2)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r2)). 1.45/1.76 thf(38,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r3)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r3)). 1.45/1.76 thf(39,axiom,(mvalid@((mbox@r5)@(physics_student@mike))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a9)). 1.45/1.76 thf(40,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r2)@(good_in_physics@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_2)). 1.45/1.76 thf(41,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r2)@((mbox@r3)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r2)). 1.45/1.76 thf(42,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mimplies@(maths_teacher@X))@((mbox@r4)@(good_in_maths@X)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r1)). 1.45/1.76 thf(43,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r1)@((mbox@r4)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r1)). 1.45/1.76 thf(44,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r1)@((mbox@r1)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r1)). 1.45/1.76 thf(45,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r4)@((mbox@r4)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r4)). 1.45/1.76 thf(46,axiom,(mvalid@(maths_teacher@john)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a6)). 1.45/1.76 thf(47,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@(mnot@((mbox@r3)@(mnot@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r3)). 1.45/1.76 thf(48,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r2)@Phi)))@((mbox@r2)@(mnot@((mbox@r2)@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r2)). 1.45/1.76 thf(49,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r4)@(good_in_physics@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_4)). 1.45/1.76 thf(50,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r4)@((mbox@r5)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r4)). 1.45/1.76 thf(51,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r4)@((mbox@r3)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r4)). 1.45/1.76 thf(52,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r4)@((mbox@r1)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r4)). 1.45/1.76 thf(53,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r1)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r45r1)). 1.45/1.76 thf(54,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r5)@((mbox@r2)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r5)). 1.45/1.76 thf(55,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r2)@(mathematician@X)))@((mbox@r2)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_2)). 1.45/1.76 thf(56,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r1)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r2_r1)). 1.45/1.76 thf(57,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r2)@((mbox@r4)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r2)). 1.45/1.76 thf(58,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r4)@Phi)))@((mbox@r4)@(mnot@((mbox@r4)@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r4)). 1.45/1.76 thf(59,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r3)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r3)). 1.45/1.76 thf(60,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r2)@((mbox@r2)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r2)). 1.45/1.76 thf(61,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r2)@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r2)). 1.45/1.76 thf(62,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@(mnot@((mbox@r5)@(mnot@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r5)). 1.45/1.76 thf(63,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r5)@((mbox@r3)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r5)). 1.45/1.76 thf(64,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r3)@((mbox@r1)@Phi)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r3)). 1.45/1.76 thf(65,axiom,(mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@(mnot@((mbox@r2)@(mnot@Phi))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r2)). 1.45/1.76 thf(66,axiom,(mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r3)@(good_in_maths@X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_3)). 1.45/1.76 thf(67,conjecture,(mvalid@(mexists_ind@(^[X:mu]: ((mbox@r4)@(good_in_maths@X))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 1.45/1.76 thf(68,negated_conjecture,(((mvalid@(mexists_ind@(^[X:mu]: ((mbox@r4)@(good_in_maths@X)))))=$false)),inference(negate_conjecture,[status(cth)],[67])). 1.45/1.76 thf(69,plain,(((~ (mvalid@(mexists_ind@(^[X:mu]: ((mbox@r4)@(good_in_maths@X))))))=$true)),inference(polarity_switch,[status(thm)],[68])). 1.45/1.76 thf(70,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r3)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[66])). 1.45/1.76 thf(71,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@(mnot@((mbox@r2)@(mnot@Phi)))))))=$true)),inference(copy,[status(thm)],[65])). 1.45/1.76 thf(72,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r3)@((mbox@r1)@Phi))))))=$true)),inference(copy,[status(thm)],[64])). 1.45/1.76 thf(73,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r5)@((mbox@r3)@Phi))))))=$true)),inference(copy,[status(thm)],[63])). 1.45/1.76 thf(74,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@(mnot@((mbox@r5)@(mnot@Phi)))))))=$true)),inference(copy,[status(thm)],[62])). 1.45/1.76 thf(75,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r2)@Phi)))))=$true)),inference(copy,[status(thm)],[61])). 1.45/1.76 thf(76,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r2)@((mbox@r2)@Phi))))))=$true)),inference(copy,[status(thm)],[60])). 1.45/1.76 thf(77,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r3)@Phi)))))=$true)),inference(copy,[status(thm)],[59])). 1.45/1.76 thf(78,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r4)@Phi)))@((mbox@r4)@(mnot@((mbox@r4)@Phi)))))))=$true)),inference(copy,[status(thm)],[58])). 1.45/1.76 thf(79,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r2)@((mbox@r4)@Phi))))))=$true)),inference(copy,[status(thm)],[57])). 1.45/1.76 thf(80,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r1)@Phi)))))=$true)),inference(copy,[status(thm)],[56])). 1.45/1.76 thf(81,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r2)@(mathematician@X)))@((mbox@r2)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[55])). 1.45/1.76 thf(82,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r5)@((mbox@r2)@Phi))))))=$true)),inference(copy,[status(thm)],[54])). 1.45/1.76 thf(83,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r1)@Phi)))))=$true)),inference(copy,[status(thm)],[53])). 1.45/1.76 thf(84,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r4)@((mbox@r1)@Phi))))))=$true)),inference(copy,[status(thm)],[52])). 1.45/1.76 thf(85,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r4)@((mbox@r3)@Phi))))))=$true)),inference(copy,[status(thm)],[51])). 1.45/1.76 thf(86,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r4)@((mbox@r5)@Phi))))))=$true)),inference(copy,[status(thm)],[50])). 1.45/1.76 thf(87,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r4)@(good_in_physics@X)))))))=$true)),inference(copy,[status(thm)],[49])). 1.45/1.76 thf(88,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r2)@Phi)))@((mbox@r2)@(mnot@((mbox@r2)@Phi)))))))=$true)),inference(copy,[status(thm)],[48])). 1.45/1.76 thf(89,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@(mnot@((mbox@r3)@(mnot@Phi)))))))=$true)),inference(copy,[status(thm)],[47])). 1.45/1.76 thf(90,plain,(((mvalid@(maths_teacher@john))=$true)),inference(copy,[status(thm)],[46])). 1.45/1.76 thf(91,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r4)@((mbox@r4)@Phi))))))=$true)),inference(copy,[status(thm)],[45])). 1.45/1.76 thf(92,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r1)@((mbox@r1)@Phi))))))=$true)),inference(copy,[status(thm)],[44])). 1.45/1.76 thf(93,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r1)@((mbox@r4)@Phi))))))=$true)),inference(copy,[status(thm)],[43])). 1.45/1.76 thf(94,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mimplies@(maths_teacher@X))@((mbox@r4)@(good_in_maths@X))))))=$true)),inference(copy,[status(thm)],[42])). 1.45/1.76 thf(95,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r2)@((mbox@r3)@Phi))))))=$true)),inference(copy,[status(thm)],[41])). 1.45/1.76 thf(96,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r2)@(good_in_physics@X)))))))=$true)),inference(copy,[status(thm)],[40])). 1.45/1.76 thf(97,plain,(((mvalid@((mbox@r5)@(physics_student@mike)))=$true)),inference(copy,[status(thm)],[39])). 1.45/1.76 thf(98,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r3)@Phi)))))=$true)),inference(copy,[status(thm)],[38])). 1.45/1.76 thf(99,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r2)@Phi)))))=$true)),inference(copy,[status(thm)],[37])). 1.45/1.76 thf(100,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r1)@Phi)))))=$true)),inference(copy,[status(thm)],[36])). 1.45/1.76 thf(101,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r2)@((mbox@r5)@Phi))))))=$true)),inference(copy,[status(thm)],[35])). 1.45/1.76 thf(102,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r3)@Phi)))@((mbox@r3)@(mnot@((mbox@r3)@Phi)))))))=$true)),inference(copy,[status(thm)],[34])). 1.45/1.76 thf(103,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r5)@((mbox@r4)@Phi))))))=$true)),inference(copy,[status(thm)],[33])). 1.45/1.76 thf(104,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r1)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[32])). 1.45/1.76 thf(105,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r4)@(mathematician@X)))@((mbox@r4)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[31])). 1.45/1.76 thf(106,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r4)@Phi)))))=$true)),inference(copy,[status(thm)],[30])). 1.45/1.76 thf(107,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r1)@Phi)))))=$true)),inference(copy,[status(thm)],[29])). 1.45/1.76 thf(108,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r3)@((mbox@r2)@Phi))))))=$true)),inference(copy,[status(thm)],[28])). 1.45/1.76 thf(109,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@((mbox@r3)@((mbox@r4)@Phi))))))=$true)),inference(copy,[status(thm)],[27])). 1.45/1.76 thf(110,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r1)@(good_in_physics@X)))))))=$true)),inference(copy,[status(thm)],[26])). 1.45/1.76 thf(111,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r3)@(good_in_physics@X)))))))=$true)),inference(copy,[status(thm)],[25])). 1.45/1.76 thf(112,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r2)@((mbox@r1)@Phi))))))=$true)),inference(copy,[status(thm)],[24])). 1.45/1.76 thf(113,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r5)@Phi)))@((mbox@r5)@(mnot@((mbox@r5)@Phi)))))))=$true)),inference(copy,[status(thm)],[23])). 1.45/1.76 thf(114,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r1)@((mbox@r2)@Phi))))))=$true)),inference(copy,[status(thm)],[22])). 1.45/1.76 thf(115,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r5)@(mathematician@X)))@((mbox@r5)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[21])). 1.45/1.76 thf(116,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r3)@((mbox@r3)@Phi))))))=$true)),inference(copy,[status(thm)],[20])). 1.45/1.76 thf(117,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r1)@((mbox@r5)@Phi))))))=$true)),inference(copy,[status(thm)],[19])). 1.45/1.76 thf(118,plain,(((mvalid@((mbox@r2)@(mathematician@tom)))=$true)),inference(copy,[status(thm)],[18])). 1.45/1.76 thf(119,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@(mnot@((mbox@r1)@Phi)))@((mbox@r1)@(mnot@((mbox@r1)@Phi)))))))=$true)),inference(copy,[status(thm)],[17])). 1.45/1.76 thf(120,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r2)@((mimplies@(good_in_physics@X))@((mdia@r2)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[16])). 1.45/1.76 thf(121,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r2)@Phi)))))=$true)),inference(copy,[status(thm)],[15])). 1.45/1.76 thf(122,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r5)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[14])). 1.45/1.76 thf(123,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r2)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[13])). 1.45/1.76 thf(124,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r5)@((mbox@r5)@Phi))))))=$true)),inference(copy,[status(thm)],[12])). 1.45/1.76 thf(125,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@(mnot@((mbox@r1)@(mnot@Phi)))))))=$true)),inference(copy,[status(thm)],[11])). 1.45/1.76 thf(126,plain,(((mvalid@((mbox@r5)@(maths_student@peter)))=$true)),inference(copy,[status(thm)],[10])). 1.45/1.76 thf(127,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(maths_student@X))@((mdia@r4)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[9])). 1.45/1.76 thf(128,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r4)@Phi))@(mnot@((mbox@r4)@(mnot@Phi)))))))=$true)),inference(copy,[status(thm)],[8])). 1.45/1.76 thf(129,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r3)@Phi))@((mbox@r1)@((mbox@r3)@Phi))))))=$true)),inference(copy,[status(thm)],[7])). 1.45/1.76 thf(130,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r3)@(mathematician@X)))@((mbox@r3)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[6])). 1.45/1.76 thf(131,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r5)@Phi))@((mbox@r3)@((mbox@r5)@Phi))))))=$true)),inference(copy,[status(thm)],[5])). 1.45/1.76 thf(132,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r2)@Phi))@((mbox@r4)@((mbox@r2)@Phi))))))=$true)),inference(copy,[status(thm)],[4])). 1.45/1.76 thf(133,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r3)@((mimplies@(physics_student@X))@((mdia@r5)@(good_in_physics@X)))))))=$true)),inference(copy,[status(thm)],[3])). 1.45/1.76 thf(134,plain,(((mvalid@(mforall_prop@(^[Phi:($i>$o)]: ((mimplies@((mbox@r1)@Phi))@((mbox@r5)@((mbox@r1)@Phi))))))=$true)),inference(copy,[status(thm)],[2])). 1.45/1.76 thf(135,plain,(((mvalid@(mforall_ind@(^[X:mu]: ((mbox@r5)@((mimplies@((mbox@r1)@(mathematician@X)))@((mbox@r1)@(good_in_maths@X)))))))=$true)),inference(copy,[status(thm)],[1])). 1.45/1.76 thf(136,plain,(((~ (mvalid@(mexists_ind@(^[X:mu]: ((mbox@r4)@(good_in_maths@X))))))=$true)),inference(copy,[status(thm)],[69])). 1.45/1.76 thf(137,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[86,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(138,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[83,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(139,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r5@SX0)@SX2)) | ((~ (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | ((mathematician@SX1)@SX3)))) | (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | ((good_in_maths@SX1)@SX3))))))=$true)),inference(unfold_def,[status(thm)],[115,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(140,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[95,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(141,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[114,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(142,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[99,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(143,plain,(((![SX0:$i,SX1:$i]: ((~ ((r5@SX0)@SX1)) | ((physics_student@mike)@SX1)))=$true)),inference(unfold_def,[status(thm)],[97,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(144,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[91,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(145,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[73,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(146,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (~ (SX1@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[71,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(147,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((maths_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (~ ((good_in_maths@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[123,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(148,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[75,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(149,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[112,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(150,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (~ (SX1@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[74,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(151,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2))))) | (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (~ (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (SX1@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[113,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(152,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[116,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(153,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((physics_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (~ ((good_in_physics@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[110,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(154,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[132,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(155,plain,(((![SX0:$i]: ((maths_teacher@john)@SX0))=$true)),inference(unfold_def,[status(thm)],[90,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(156,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[107,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(157,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[98,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(158,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[76,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(159,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[109,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(160,plain,(((![SX0:$i,SX1:mu]: ((~ ((maths_teacher@SX1)@SX0)) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | ((good_in_maths@SX1)@SX2)))))=$true)),inference(unfold_def,[status(thm)],[94,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(161,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[134,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(162,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((maths_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (~ ((good_in_maths@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[70,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(163,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (~ (SX1@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[128,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(164,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r5@SX0)@SX2)) | ((~ (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | ((mathematician@SX1)@SX3)))) | (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | ((good_in_maths@SX1)@SX3))))))=$true)),inference(unfold_def,[status(thm)],[81,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(165,plain,(((![SX0:$i,SX1:$i]: ((~ ((r2@SX0)@SX1)) | ((mathematician@tom)@SX1)))=$true)),inference(unfold_def,[status(thm)],[118,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(166,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2))))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (~ (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (SX1@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[78,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(167,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((physics_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (~ ((good_in_physics@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[96,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(168,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[101,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(169,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[79,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(170,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (~ (SX1@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[89,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(171,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((physics_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (~ ((good_in_physics@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[133,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(172,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[82,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(173,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((physics_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (~ ((good_in_physics@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[111,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(174,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[106,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(175,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r5@SX0)@SX2)) | ((~ (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | ((mathematician@SX1)@SX3)))) | (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | ((good_in_maths@SX1)@SX3))))))=$true)),inference(unfold_def,[status(thm)],[130,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(176,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[108,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(177,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[129,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(178,plain,(((![SX0:$i,SX1:$i]: ((~ ((r5@SX0)@SX1)) | ((maths_student@peter)@SX1)))=$true)),inference(unfold_def,[status(thm)],[126,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(179,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2))))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (~ (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (SX1@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[88,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(180,plain,(((~ (![SX0:$i]: (~ (![SX1:mu]: (~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | ((good_in_maths@SX1)@SX2))))))))=$true)),inference(unfold_def,[status(thm)],[136,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(181,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[92,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(182,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2))))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (~ (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (SX1@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[119,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(183,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[93,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(184,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[72,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(185,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r2@SX0)@SX2)) | ((~ ((good_in_physics@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r2@SX2)@SX3)) | (~ ((good_in_maths@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[120,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(186,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((maths_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (~ ((good_in_maths@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[127,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(187,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[84,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(188,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((physics_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | (~ ((good_in_physics@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[87,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(189,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[117,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(190,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))) | (~ (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (~ (SX1@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[125,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(191,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r5@SX0)@SX2)) | ((~ (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | ((mathematician@SX1)@SX3)))) | (![SX3:$i]: ((~ ((r1@SX2)@SX3)) | ((good_in_maths@SX1)@SX3))))))=$true)),inference(unfold_def,[status(thm)],[135,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(192,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r5@SX0)@SX2)) | ((~ (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | ((mathematician@SX1)@SX3)))) | (![SX3:$i]: ((~ ((r4@SX2)@SX3)) | ((good_in_maths@SX1)@SX3))))))=$true)),inference(unfold_def,[status(thm)],[105,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(193,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r1@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[100,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(194,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (![SX3:$i]: ((~ ((r3@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[85,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(195,plain,(((![SX0:$i,SX1:mu,SX2:$i]: ((~ ((r3@SX0)@SX2)) | ((~ ((maths_student@SX1)@SX2)) | (~ (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (~ ((good_in_maths@SX1)@SX3))))))))=$true)),inference(unfold_def,[status(thm)],[122,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(196,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[131,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(197,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r4@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r3@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[77,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(198,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (![SX3:$i]: ((~ ((r5@SX2)@SX3)) | (SX1@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[124,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 1.45/1.76 thf(199,plain,(((![SX0:$i,SX1:($i>$o)]: ((~ (![SX2:$i]: ((~ ((r5@SX0)@SX2)) | (SX1@SX2)))) | (![SX2:$i]: ((~ ((r2@SX0)@SX2)) | (SX1@SX2)))))=$true)),inference(unfold_def,[status(thm)],[121,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 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thf(853,plain,(![SV74:($i>$o),SV195:$i,SV8:$i]: (((~ ((r4@SV8)@SV195))=$true) | ((![SY433:$i]: ((~ ((r4@SV195)@SY433)) | (SV74@SY433)))=$true) | (((r4@SV8)@((sK7_SY239@SV74)@SV8))=$true))),inference(extcnf_or_pos,[status(thm)],[750])). 1.45/1.76 thf(854,plain,(![SV74:($i>$o),SV160:$i,SV8:$i]: ((((r4@SV8)@SV160)=$false) | ((![SY408:$i]: ((~ ((r4@SV160)@SY408)) | (SV74@SY408)))=$true) | ((SV74@((sK7_SY239@SV74)@SV8))=$false))),inference(extcnf_not_pos,[status(thm)],[751])). 1.45/1.76 thf(855,plain,(![SV75:($i>$o),SV196:$i,SV9:$i]: (((~ ((r5@SV9)@SV196))=$true) | ((![SY434:$i]: ((~ ((r3@SV196)@SY434)) | (SV75@SY434)))=$true) | (((r3@SV9)@((sK8_SY242@SV75)@SV9))=$true))),inference(extcnf_or_pos,[status(thm)],[752])). 1.45/1.76 thf(856,plain,(![SV75:($i>$o),SV161:$i,SV9:$i]: ((((r5@SV9)@SV161)=$false) | ((![SY409:$i]: ((~ ((r3@SV161)@SY409)) | (SV75@SY409)))=$true) | ((SV75@((sK8_SY242@SV75)@SV9))=$false))),inference(extcnf_not_pos,[status(thm)],[753])). 1.45/1.76 thf(857,plain,(![SV76:($i>$o),SV10:$i]: ((((~ ((r2@SV10)@((sK53_SY246@SV76)@SV10))) | (~ (SV76@((sK53_SY246@SV76)@SV10))))=$false) | (((r2@SV10)@((sK9_SY245@SV76)@SV10))=$true))),inference(extcnf_forall_neg,[status(esa)],[754])). 1.45/1.76 thf(858,plain,(![SV76:($i>$o),SV10:$i]: (((~ ((r2@SV10)@((sK44_SY246@SV76)@SV10)))=$false) | ((SV76@((sK9_SY245@SV76)@SV10))=$false))),inference(extcnf_or_neg,[status(thm)],[755])). 1.45/1.76 thf(859,plain,(![SV10:$i,SV76:($i>$o)]: (((~ (SV76@((sK44_SY246@SV76)@SV10)))=$false) | ((SV76@((sK9_SY245@SV76)@SV10))=$false))),inference(extcnf_or_neg,[status(thm)],[755])). 1.45/1.76 thf(860,plain,(![SV77:mu,SV11:$i,SV133:$i]: ((((~ ((r2@SV133)@(((sK54_SY385@SV11)@SV77)@SV133))) | (~ ((good_in_maths@SV77)@(((sK54_SY385@SV11)@SV77)@SV133))))=$false) | (((maths_student@SV77)@SV133)=$false) | (((r3@SV11)@SV133)=$false))),inference(extcnf_forall_neg,[status(esa)],[756])). 1.45/1.76 thf(861,plain,(![SV78:($i>$o),SV197:$i,SV12:$i]: (((~ ((r2@SV12)@SV197))=$true) | 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(((r5@SV14)@((sK12_SY254@SV80)@SV14))=$true))),inference(extcnf_forall_neg,[status(esa)],[761])). 1.45/1.76 thf(866,plain,(![SV80:($i>$o),SV14:$i]: (((~ ((r5@SV14)@((sK45_SY255@SV80)@SV14)))=$false) | ((SV80@((sK12_SY254@SV80)@SV14))=$false))),inference(extcnf_or_neg,[status(thm)],[762])). 1.45/1.76 thf(867,plain,(![SV14:$i,SV80:($i>$o)]: (((~ (SV80@((sK45_SY255@SV80)@SV14)))=$false) | ((SV80@((sK12_SY254@SV80)@SV14))=$false))),inference(extcnf_or_neg,[status(thm)],[762])). 1.45/1.76 thf(868,plain,(![SV150:$i,SV81:($i>$o),SV225:$i,SV15:$i]: ((((~ ((r5@SV15)@SV225)) | (~ (![SY455:$i]: ((~ ((r5@SV225)@SY455)) | (SV81@SY455)))))=$true) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_forall_pos,[status(thm)],[763])). 1.45/1.76 thf(869,plain,(![SV82:($i>$o),SV199:$i,SV16:$i]: (((~ ((r3@SV16)@SV199))=$true) | ((![SY436:$i]: ((~ ((r3@SV199)@SY436)) | (SV82@SY436)))=$true) | (((r3@SV16)@((sK13_SY259@SV82)@SV16))=$true))),inference(extcnf_or_pos,[status(thm)],[764])). 1.45/1.76 thf(870,plain,(![SV82:($i>$o),SV164:$i,SV16:$i]: ((((r3@SV16)@SV164)=$false) | ((![SY411:$i]: ((~ ((r3@SV164)@SY411)) | (SV82@SY411)))=$true) | ((SV82@((sK13_SY259@SV82)@SV16))=$false))),inference(extcnf_not_pos,[status(thm)],[765])). 1.45/1.76 thf(871,plain,(![SV83:mu,SV17:$i,SV134:$i]: ((((~ ((r1@SV134)@(((sK56_SY386@SV17)@SV83)@SV134))) | (~ ((good_in_physics@SV83)@(((sK56_SY386@SV17)@SV83)@SV134))))=$false) | (((physics_student@SV83)@SV134)=$false) | (((r3@SV17)@SV134)=$false))),inference(extcnf_forall_neg,[status(esa)],[766])). 1.45/1.76 thf(872,plain,(![SV84:($i>$o),SV200:$i,SV18:$i]: (((~ ((r4@SV18)@SV200))=$true) | ((![SY437:$i]: ((~ ((r2@SV200)@SY437)) | (SV84@SY437)))=$true) | (((r2@SV18)@((sK14_SY264@SV84)@SV18))=$true))),inference(extcnf_or_pos,[status(thm)],[767])). 1.45/1.76 thf(873,plain,(![SV84:($i>$o),SV165:$i,SV18:$i]: ((((r4@SV18)@SV165)=$false) | ((![SY412:$i]: ((~ ((r2@SV165)@SY412)) | (SV84@SY412)))=$true) | ((SV84@((sK14_SY264@SV84)@SV18))=$false))),inference(extcnf_not_pos,[status(thm)],[768])). 1.45/1.76 thf(874,plain,(![SV85:($i>$o),SV201:$i,SV20:$i]: (((~ ((r1@SV20)@SV201))=$true) | ((SV85@SV201)=$true) | (((r3@SV20)@((sK15_SY267@SV85)@SV20))=$true))),inference(extcnf_or_pos,[status(thm)],[769])). 1.45/1.76 thf(875,plain,(![SV85:($i>$o),SV166:$i,SV20:$i]: ((((r1@SV20)@SV166)=$false) | ((SV85@SV166)=$true) | ((SV85@((sK15_SY267@SV85)@SV20))=$false))),inference(extcnf_not_pos,[status(thm)],[770])). 1.45/1.76 thf(876,plain,(![SV86:($i>$o),SV202:$i,SV21:$i]: (((~ ((r3@SV21)@SV202))=$true) | ((SV86@SV202)=$true) | (((r5@SV21)@((sK16_SY269@SV86)@SV21))=$true))),inference(extcnf_or_pos,[status(thm)],[771])). 1.45/1.76 thf(877,plain,(![SV86:($i>$o),SV167:$i,SV21:$i]: ((((r3@SV21)@SV167)=$false) | ((SV86@SV167)=$true) | ((SV86@((sK16_SY269@SV86)@SV21))=$false))),inference(extcnf_not_pos,[status(thm)],[772])). 1.45/1.76 thf(878,plain,(![SV87:($i>$o),SV203:$i,SV22:$i]: (((~ 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thf(886,plain,(![SV92:($i>$o),SV27:$i]: (((~ ((r4@SV27)@((sK46_SY284@SV92)@SV27)))=$false) | ((SV92@((sK20_SY283@SV92)@SV27))=$false))),inference(extcnf_or_neg,[status(thm)],[781])). 1.45/1.76 thf(887,plain,(![SV27:$i,SV92:($i>$o)]: (((~ (SV92@((sK46_SY284@SV92)@SV27)))=$false) | ((SV92@((sK20_SY283@SV92)@SV27))=$false))),inference(extcnf_or_neg,[status(thm)],[781])). 1.45/1.76 thf(888,plain,(![SV93:mu,SV28:$i,SV136:$i]: (((~ ((r2@SV136)@(((sK47_SY388@SV28)@SV93)@SV136)))=$false) | ((![SY389:$i]: ((~ ((r2@SV136)@SY389)) | ((good_in_maths@SV93)@SY389)))=$true) | (((r5@SV28)@SV136)=$false))),inference(extcnf_or_neg,[status(thm)],[782])). 1.45/1.76 thf(889,plain,(![SV136:$i,SV28:$i,SV93:mu]: ((((mathematician@SV93)@(((sK47_SY388@SV28)@SV93)@SV136))=$false) | ((![SY389:$i]: ((~ ((r2@SV136)@SY389)) | ((good_in_maths@SV93)@SY389)))=$true) | (((r5@SV28)@SV136)=$false))),inference(extcnf_or_neg,[status(thm)],[782])). 1.45/1.76 thf(890,plain,(![SV151:$i,SV95:($i>$o),SV226:$i,SV30:$i]: ((((~ 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1.45/1.76 thf(894,plain,(![SV98:($i>$o),SV207:$i,SV33:$i]: (((~ ((r2@SV33)@SV207))=$true) | ((![SY442:$i]: ((~ ((r4@SV207)@SY442)) | (SV98@SY442)))=$true) | (((r4@SV33)@((sK22_SY296@SV98)@SV33))=$true))),inference(extcnf_or_pos,[status(thm)],[787])). 1.45/1.76 thf(895,plain,(![SV98:($i>$o),SV172:$i,SV33:$i]: ((((r2@SV33)@SV172)=$false) | ((![SY417:$i]: ((~ ((r4@SV172)@SY417)) | (SV98@SY417)))=$true) | ((SV98@((sK22_SY296@SV98)@SV33))=$false))),inference(extcnf_not_pos,[status(thm)],[788])). 1.45/1.76 thf(896,plain,(![SV99:($i>$o),SV34:$i]: ((((~ ((r3@SV34)@((sK60_SY300@SV99)@SV34))) | (~ (SV99@((sK60_SY300@SV99)@SV34))))=$false) | (((r3@SV34)@((sK23_SY299@SV99)@SV34))=$true))),inference(extcnf_forall_neg,[status(esa)],[789])). 1.45/1.76 thf(897,plain,(![SV99:($i>$o),SV34:$i]: (((~ ((r3@SV34)@((sK48_SY300@SV99)@SV34)))=$false) | ((SV99@((sK23_SY299@SV99)@SV34))=$false))),inference(extcnf_or_neg,[status(thm)],[790])). 1.45/1.76 thf(898,plain,(![SV34:$i,SV99:($i>$o)]: (((~ 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(((r1@SV5)@SV158)=$false) | ((SV71@((sK5_SY234@SV71)@SV5))=$false))),inference(extcnf_forall_pos,[status(thm)],[850])). 1.45/1.76 thf(961,plain,(![SV72:($i>$o),SV194:$i,SV6:$i]: ((((r2@SV6)@SV194)=$false) | ((SV72@SV194)=$true) | (((r4@SV6)@((sK6_SY237@SV72)@SV6))=$true))),inference(extcnf_not_pos,[status(thm)],[851])). 1.45/1.76 thf(962,plain,(![SV74:($i>$o),SV195:$i,SV8:$i]: ((((r4@SV8)@SV195)=$false) | ((![SY433:$i]: ((~ ((r4@SV195)@SY433)) | (SV74@SY433)))=$true) | (((r4@SV8)@((sK7_SY239@SV74)@SV8))=$true))),inference(extcnf_not_pos,[status(thm)],[853])). 1.45/1.76 thf(963,plain,(![SV8:$i,SV74:($i>$o),SV234:$i,SV160:$i]: ((((~ ((r4@SV160)@SV234)) | (SV74@SV234))=$true) | (((r4@SV8)@SV160)=$false) | ((SV74@((sK7_SY239@SV74)@SV8))=$false))),inference(extcnf_forall_pos,[status(thm)],[854])). 1.45/1.76 thf(964,plain,(![SV75:($i>$o),SV196:$i,SV9:$i]: ((((r5@SV9)@SV196)=$false) | ((![SY434:$i]: ((~ ((r3@SV196)@SY434)) | (SV75@SY434)))=$true) | (((r3@SV9)@((sK8_SY242@SV75)@SV9))=$true))),inference(extcnf_not_pos,[status(thm)],[855])). 1.45/1.76 thf(965,plain,(![SV9:$i,SV75:($i>$o),SV235:$i,SV161:$i]: ((((~ ((r3@SV161)@SV235)) | (SV75@SV235))=$true) | (((r5@SV9)@SV161)=$false) | ((SV75@((sK8_SY242@SV75)@SV9))=$false))),inference(extcnf_forall_pos,[status(thm)],[856])). 1.45/1.76 thf(966,plain,(![SV76:($i>$o),SV10:$i]: (((~ ((r2@SV10)@((sK53_SY246@SV76)@SV10)))=$false) | (((r2@SV10)@((sK9_SY245@SV76)@SV10))=$true))),inference(extcnf_or_neg,[status(thm)],[857])). 1.45/1.76 thf(967,plain,(![SV10:$i,SV76:($i>$o)]: (((~ (SV76@((sK53_SY246@SV76)@SV10)))=$false) | (((r2@SV10)@((sK9_SY245@SV76)@SV10))=$true))),inference(extcnf_or_neg,[status(thm)],[857])). 1.45/1.76 thf(968,plain,(![SV76:($i>$o),SV10:$i]: ((((r2@SV10)@((sK44_SY246@SV76)@SV10))=$true) | ((SV76@((sK9_SY245@SV76)@SV10))=$false))),inference(extcnf_not_neg,[status(thm)],[858])). 1.45/1.76 thf(969,plain,(![SV10:$i,SV76:($i>$o)]: (((SV76@((sK44_SY246@SV76)@SV10))=$true) | ((SV76@((sK9_SY245@SV76)@SV10))=$false))),inference(extcnf_not_neg,[status(thm)],[859])). 1.45/1.76 thf(970,plain,(![SV77:mu,SV11:$i,SV133:$i]: (((~ ((r2@SV133)@(((sK54_SY385@SV11)@SV77)@SV133)))=$false) | (((maths_student@SV77)@SV133)=$false) | (((r3@SV11)@SV133)=$false))),inference(extcnf_or_neg,[status(thm)],[860])). 1.45/1.76 thf(971,plain,(![SV133:$i,SV11:$i,SV77:mu]: (((~ ((good_in_maths@SV77)@(((sK54_SY385@SV11)@SV77)@SV133)))=$false) | (((maths_student@SV77)@SV133)=$false) | (((r3@SV11)@SV133)=$false))),inference(extcnf_or_neg,[status(thm)],[860])). 1.45/1.76 thf(972,plain,(![SV78:($i>$o),SV197:$i,SV12:$i]: ((((r2@SV12)@SV197)=$false) | ((SV78@SV197)=$true) | (((r3@SV12)@((sK10_SY249@SV78)@SV12))=$true))),inference(extcnf_not_pos,[status(thm)],[861])). 1.45/1.76 thf(973,plain,(![SV79:($i>$o),SV198:$i,SV13:$i]: ((((r2@SV13)@SV198)=$false) | ((![SY435:$i]: ((~ ((r1@SV198)@SY435)) | (SV79@SY435)))=$true) | (((r1@SV13)@((sK11_SY251@SV79)@SV13))=$true))),inference(extcnf_not_pos,[status(thm)],[863])). 1.45/1.76 thf(974,plain,(![SV13:$i,SV79:($i>$o),SV236:$i,SV163:$i]: ((((~ ((r1@SV163)@SV236)) | (SV79@SV236))=$true) | (((r2@SV13)@SV163)=$false) | ((SV79@((sK11_SY251@SV79)@SV13))=$false))),inference(extcnf_forall_pos,[status(thm)],[864])). 1.45/1.76 thf(975,plain,(![SV80:($i>$o),SV14:$i]: (((~ ((r5@SV14)@((sK55_SY255@SV80)@SV14)))=$false) | (((r5@SV14)@((sK12_SY254@SV80)@SV14))=$true))),inference(extcnf_or_neg,[status(thm)],[865])). 1.45/1.76 thf(976,plain,(![SV14:$i,SV80:($i>$o)]: (((~ (SV80@((sK55_SY255@SV80)@SV14)))=$false) | (((r5@SV14)@((sK12_SY254@SV80)@SV14))=$true))),inference(extcnf_or_neg,[status(thm)],[865])). 1.45/1.76 thf(977,plain,(![SV80:($i>$o),SV14:$i]: ((((r5@SV14)@((sK45_SY255@SV80)@SV14))=$true) | ((SV80@((sK12_SY254@SV80)@SV14))=$false))),inference(extcnf_not_neg,[status(thm)],[866])). 1.45/1.76 thf(978,plain,(![SV14:$i,SV80:($i>$o)]: (((SV80@((sK45_SY255@SV80)@SV14))=$true) | ((SV80@((sK12_SY254@SV80)@SV14))=$false))),inference(extcnf_not_neg,[status(thm)],[867])). 1.45/1.76 thf(979,plain,(![SV150:$i,SV81:($i>$o),SV225:$i,SV15:$i]: (((~ ((r5@SV15)@SV225))=$true) | ((~ (![SY455:$i]: ((~ ((r5@SV225)@SY455)) | (SV81@SY455))))=$true) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_or_pos,[status(thm)],[868])). 1.45/1.76 thf(980,plain,(![SV82:($i>$o),SV199:$i,SV16:$i]: ((((r3@SV16)@SV199)=$false) | ((![SY436:$i]: ((~ ((r3@SV199)@SY436)) | (SV82@SY436)))=$true) | (((r3@SV16)@((sK13_SY259@SV82)@SV16))=$true))),inference(extcnf_not_pos,[status(thm)],[869])). 1.45/1.76 thf(981,plain,(![SV16:$i,SV82:($i>$o),SV237:$i,SV164:$i]: ((((~ ((r3@SV164)@SV237)) | (SV82@SV237))=$true) | (((r3@SV16)@SV164)=$false) | ((SV82@((sK13_SY259@SV82)@SV16))=$false))),inference(extcnf_forall_pos,[status(thm)],[870])). 1.45/1.76 thf(982,plain,(![SV83:mu,SV17:$i,SV134:$i]: (((~ 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((SV85@SV201)=$true) | (((r3@SV20)@((sK15_SY267@SV85)@SV20))=$true))),inference(extcnf_not_pos,[status(thm)],[874])). 1.45/1.76 thf(987,plain,(![SV86:($i>$o),SV202:$i,SV21:$i]: ((((r3@SV21)@SV202)=$false) | ((SV86@SV202)=$true) | (((r5@SV21)@((sK16_SY269@SV86)@SV21))=$true))),inference(extcnf_not_pos,[status(thm)],[876])). 1.45/1.76 thf(988,plain,(![SV87:($i>$o),SV203:$i,SV22:$i]: ((((r2@SV22)@SV203)=$false) | ((![SY438:$i]: ((~ ((r2@SV203)@SY438)) | (SV87@SY438)))=$true) | (((r2@SV22)@((sK17_SY271@SV87)@SV22))=$true))),inference(extcnf_not_pos,[status(thm)],[878])). 1.45/1.76 thf(989,plain,(![SV22:$i,SV87:($i>$o),SV239:$i,SV168:$i]: ((((~ ((r2@SV168)@SV239)) | (SV87@SV239))=$true) | (((r2@SV22)@SV168)=$false) | ((SV87@((sK17_SY271@SV87)@SV22))=$false))),inference(extcnf_forall_pos,[status(thm)],[879])). 1.45/1.76 thf(990,plain,(![SV88:($i>$o),SV204:$i,SV23:$i]: ((((r3@SV23)@SV204)=$false) | ((![SY439:$i]: ((~ ((r4@SV204)@SY439)) | (SV88@SY439)))=$true) | (((r4@SV23)@((sK18_SY274@SV88)@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[880])). 1.45/1.76 thf(991,plain,(![SV23:$i,SV88:($i>$o),SV240:$i,SV169:$i]: ((((~ ((r4@SV169)@SV240)) | (SV88@SV240))=$true) | (((r3@SV23)@SV169)=$false) | ((SV88@((sK18_SY274@SV88)@SV23))=$false))),inference(extcnf_forall_pos,[status(thm)],[881])). 1.45/1.76 thf(992,plain,(![SV90:($i>$o),SV205:$i,SV25:$i]: ((((r5@SV25)@SV205)=$false) | ((![SY440:$i]: ((~ ((r1@SV205)@SY440)) | (SV90@SY440)))=$true) | (((r1@SV25)@((sK19_SY278@SV90)@SV25))=$true))),inference(extcnf_not_pos,[status(thm)],[882])). 1.45/1.76 thf(993,plain,(![SV25:$i,SV90:($i>$o),SV241:$i,SV170:$i]: ((((~ ((r1@SV170)@SV241)) | (SV90@SV241))=$true) | (((r5@SV25)@SV170)=$false) | ((SV90@((sK19_SY278@SV90)@SV25))=$false))),inference(extcnf_forall_pos,[status(thm)],[883])). 1.45/1.76 thf(994,plain,(![SV91:mu,SV26:$i,SV135:$i]: (((~ ((r3@SV135)@(((sK57_SY387@SV26)@SV91)@SV135)))=$false) | (((maths_student@SV91)@SV135)=$false) | (((r3@SV26)@SV135)=$false))),inference(extcnf_or_neg,[status(thm)],[884])). 1.45/1.76 thf(995,plain,(![SV135:$i,SV26:$i,SV91:mu]: (((~ ((good_in_maths@SV91)@(((sK57_SY387@SV26)@SV91)@SV135)))=$false) | (((maths_student@SV91)@SV135)=$false) | (((r3@SV26)@SV135)=$false))),inference(extcnf_or_neg,[status(thm)],[884])). 1.45/1.76 thf(996,plain,(![SV92:($i>$o),SV27:$i]: (((~ ((r4@SV27)@((sK58_SY284@SV92)@SV27)))=$false) | (((r4@SV27)@((sK20_SY283@SV92)@SV27))=$true))),inference(extcnf_or_neg,[status(thm)],[885])). 1.45/1.76 thf(997,plain,(![SV27:$i,SV92:($i>$o)]: (((~ (SV92@((sK58_SY284@SV92)@SV27)))=$false) | (((r4@SV27)@((sK20_SY283@SV92)@SV27))=$true))),inference(extcnf_or_neg,[status(thm)],[885])). 1.45/1.76 thf(998,plain,(![SV92:($i>$o),SV27:$i]: ((((r4@SV27)@((sK46_SY284@SV92)@SV27))=$true) | ((SV92@((sK20_SY283@SV92)@SV27))=$false))),inference(extcnf_not_neg,[status(thm)],[886])). 1.45/1.76 thf(999,plain,(![SV27:$i,SV92:($i>$o)]: (((SV92@((sK46_SY284@SV92)@SV27))=$true) | ((SV92@((sK20_SY283@SV92)@SV27))=$false))),inference(extcnf_not_neg,[status(thm)],[887])). 1.45/1.76 thf(1000,plain,(![SV93:mu,SV28:$i,SV136:$i]: ((((r2@SV136)@(((sK47_SY388@SV28)@SV93)@SV136))=$true) | ((![SY389:$i]: ((~ ((r2@SV136)@SY389)) | ((good_in_maths@SV93)@SY389)))=$true) | (((r5@SV28)@SV136)=$false))),inference(extcnf_not_neg,[status(thm)],[888])). 1.45/1.76 thf(1001,plain,(![SV28:$i,SV93:mu,SV242:$i,SV136:$i]: ((((~ ((r2@SV136)@SV242)) | ((good_in_maths@SV93)@SV242))=$true) | (((mathematician@SV93)@(((sK47_SY388@SV28)@SV93)@SV136))=$false) | (((r5@SV28)@SV136)=$false))),inference(extcnf_forall_pos,[status(thm)],[889])). 1.45/1.76 thf(1002,plain,(![SV151:$i,SV95:($i>$o),SV226:$i,SV30:$i]: (((~ ((r4@SV30)@SV226))=$true) | ((~ (![SY456:$i]: ((~ ((r4@SV226)@SY456)) | (SV95@SY456))))=$true) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_or_pos,[status(thm)],[890])). 1.45/1.76 thf(1003,plain,(![SV96:mu,SV31:$i,SV137:$i]: (((~ ((r2@SV137)@(((sK59_SY390@SV31)@SV96)@SV137)))=$false) | (((physics_student@SV96)@SV137)=$false) | (((r3@SV31)@SV137)=$false))),inference(extcnf_or_neg,[status(thm)],[891])). 1.45/1.76 thf(1004,plain,(![SV137:$i,SV31:$i,SV96:mu]: (((~ ((good_in_physics@SV96)@(((sK59_SY390@SV31)@SV96)@SV137)))=$false) | (((physics_student@SV96)@SV137)=$false) | (((r3@SV31)@SV137)=$false))),inference(extcnf_or_neg,[status(thm)],[891])). 1.45/1.76 thf(1005,plain,(![SV97:($i>$o),SV206:$i,SV32:$i]: ((((r2@SV32)@SV206)=$false) | ((![SY441:$i]: ((~ ((r5@SV206)@SY441)) | (SV97@SY441)))=$true) | (((r5@SV32)@((sK21_SY293@SV97)@SV32))=$true))),inference(extcnf_not_pos,[status(thm)],[892])). 1.45/1.76 thf(1006,plain,(![SV32:$i,SV97:($i>$o),SV243:$i,SV171:$i]: ((((~ ((r5@SV171)@SV243)) | (SV97@SV243))=$true) | (((r2@SV32)@SV171)=$false) | ((SV97@((sK21_SY293@SV97)@SV32))=$false))),inference(extcnf_forall_pos,[status(thm)],[893])). 1.45/1.76 thf(1007,plain,(![SV98:($i>$o),SV207:$i,SV33:$i]: ((((r2@SV33)@SV207)=$false) | ((![SY442:$i]: ((~ ((r4@SV207)@SY442)) | (SV98@SY442)))=$true) | (((r4@SV33)@((sK22_SY296@SV98)@SV33))=$true))),inference(extcnf_not_pos,[status(thm)],[894])). 1.45/1.76 thf(1008,plain,(![SV33:$i,SV98:($i>$o),SV244:$i,SV172:$i]: ((((~ ((r4@SV172)@SV244)) | (SV98@SV244))=$true) | (((r2@SV33)@SV172)=$false) | ((SV98@((sK22_SY296@SV98)@SV33))=$false))),inference(extcnf_forall_pos,[status(thm)],[895])). 1.45/1.76 thf(1009,plain,(![SV99:($i>$o),SV34:$i]: (((~ ((r3@SV34)@((sK60_SY300@SV99)@SV34)))=$false) | (((r3@SV34)@((sK23_SY299@SV99)@SV34))=$true))),inference(extcnf_or_neg,[status(thm)],[896])). 1.45/1.76 thf(1010,plain,(![SV34:$i,SV99:($i>$o)]: (((~ (SV99@((sK60_SY300@SV99)@SV34)))=$false) | (((r3@SV34)@((sK23_SY299@SV99)@SV34))=$true))),inference(extcnf_or_neg,[status(thm)],[896])). 1.45/1.76 thf(1011,plain,(![SV99:($i>$o),SV34:$i]: ((((r3@SV34)@((sK48_SY300@SV99)@SV34))=$true) | ((SV99@((sK23_SY299@SV99)@SV34))=$false))),inference(extcnf_not_neg,[status(thm)],[897])). 1.45/1.76 thf(1012,plain,(![SV34:$i,SV99:($i>$o)]: (((SV99@((sK48_SY300@SV99)@SV34))=$true) | ((SV99@((sK23_SY299@SV99)@SV34))=$false))),inference(extcnf_not_neg,[status(thm)],[898])). 1.45/1.76 thf(1013,plain,(![SV100:mu,SV35:$i,SV138:$i]: (((~ ((r5@SV138)@(((sK61_SY391@SV35)@SV100)@SV138)))=$false) | (((physics_student@SV100)@SV138)=$false) | (((r3@SV35)@SV138)=$false))),inference(extcnf_or_neg,[status(thm)],[899])). 1.45/1.76 thf(1014,plain,(![SV138:$i,SV35:$i,SV100:mu]: (((~ ((good_in_physics@SV100)@(((sK61_SY391@SV35)@SV100)@SV138)))=$false) | (((physics_student@SV100)@SV138)=$false) | (((r3@SV35)@SV138)=$false))),inference(extcnf_or_neg,[status(thm)],[899])). 1.45/1.76 thf(1015,plain,(![SV101:($i>$o),SV208:$i,SV36:$i]: ((((r5@SV36)@SV208)=$false) | ((![SY443:$i]: ((~ ((r2@SV208)@SY443)) | (SV101@SY443)))=$true) | (((r2@SV36)@((sK24_SY303@SV101)@SV36))=$true))),inference(extcnf_not_pos,[status(thm)],[900])). 1.45/1.76 thf(1016,plain,(![SV36:$i,SV101:($i>$o),SV245:$i,SV173:$i]: ((((~ ((r2@SV173)@SV245)) | (SV101@SV245))=$true) | (((r5@SV36)@SV173)=$false) | ((SV101@((sK24_SY303@SV101)@SV36))=$false))),inference(extcnf_forall_pos,[status(thm)],[901])). 1.45/1.76 thf(1017,plain,(![SV102:mu,SV37:$i,SV139:$i]: (((~ ((r3@SV139)@(((sK62_SY392@SV37)@SV102)@SV139)))=$false) | (((physics_student@SV102)@SV139)=$false) | (((r3@SV37)@SV139)=$false))),inference(extcnf_or_neg,[status(thm)],[902])). 1.45/1.76 thf(1018,plain,(![SV139:$i,SV37:$i,SV102:mu]: (((~ ((good_in_physics@SV102)@(((sK62_SY392@SV37)@SV102)@SV139)))=$false) | (((physics_student@SV102)@SV139)=$false) | (((r3@SV37)@SV139)=$false))),inference(extcnf_or_neg,[status(thm)],[902])). 1.45/1.76 thf(1019,plain,(![SV103:($i>$o),SV209:$i,SV38:$i]: ((((r4@SV38)@SV209)=$false) | ((SV103@SV209)=$true) | (((r5@SV38)@((sK25_SY308@SV103)@SV38))=$true))),inference(extcnf_not_pos,[status(thm)],[903])). 1.45/1.76 thf(1020,plain,(![SV104:mu,SV39:$i,SV140:$i]: ((((r3@SV140)@(((sK49_SY393@SV39)@SV104)@SV140))=$true) | ((![SY394:$i]: ((~ ((r3@SV140)@SY394)) | ((good_in_maths@SV104)@SY394)))=$true) | (((r5@SV39)@SV140)=$false))),inference(extcnf_not_neg,[status(thm)],[905])). 1.45/1.76 thf(1021,plain,(![SV39:$i,SV104:mu,SV246:$i,SV140:$i]: ((((~ ((r3@SV140)@SV246)) | ((good_in_maths@SV104)@SV246))=$true) | (((mathematician@SV104)@(((sK49_SY393@SV39)@SV104)@SV140))=$false) | (((r5@SV39)@SV140)=$false))),inference(extcnf_forall_pos,[status(thm)],[906])). 1.45/1.76 thf(1022,plain,(![SV105:($i>$o),SV210:$i,SV40:$i]: ((((r3@SV40)@SV210)=$false) | ((![SY444:$i]: ((~ ((r2@SV210)@SY444)) | (SV105@SY444)))=$true) | (((r2@SV40)@((sK26_SY313@SV105)@SV40))=$true))),inference(extcnf_not_pos,[status(thm)],[907])). 1.45/1.76 thf(1023,plain,(![SV40:$i,SV105:($i>$o),SV247:$i,SV175:$i]: ((((~ ((r2@SV175)@SV247)) | (SV105@SV247))=$true) | (((r3@SV40)@SV175)=$false) | ((SV105@((sK26_SY313@SV105)@SV40))=$false))),inference(extcnf_forall_pos,[status(thm)],[908])). 1.45/1.76 thf(1024,plain,(![SV106:($i>$o),SV211:$i,SV41:$i]: ((((r1@SV41)@SV211)=$false) | ((![SY445:$i]: ((~ ((r3@SV211)@SY445)) | (SV106@SY445)))=$true) | (((r3@SV41)@((sK27_SY316@SV106)@SV41))=$true))),inference(extcnf_not_pos,[status(thm)],[909])). 1.45/1.76 thf(1025,plain,(![SV41:$i,SV106:($i>$o),SV248:$i,SV176:$i]: ((((~ ((r3@SV176)@SV248)) | (SV106@SV248))=$true) | (((r1@SV41)@SV176)=$false) | ((SV106@((sK27_SY316@SV106)@SV41))=$false))),inference(extcnf_forall_pos,[status(thm)],[910])). 1.45/1.76 thf(1026,plain,(![SV152:$i,SV108:($i>$o),SV227:$i,SV43:$i]: (((~ ((r2@SV43)@SV227))=$true) | ((~ (![SY457:$i]: ((~ ((r2@SV227)@SY457)) | (SV108@SY457))))=$true) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_or_pos,[status(thm)],[911])). 1.45/1.76 thf(1027,plain,(![SV109:($i>$o),SV212:$i,SV44:$i]: ((((r1@SV44)@SV212)=$false) | ((![SY446:$i]: ((~ ((r1@SV212)@SY446)) | (SV109@SY446)))=$true) | (((r1@SV44)@((sK28_SY324@SV109)@SV44))=$true))),inference(extcnf_not_pos,[status(thm)],[912])). 1.45/1.76 thf(1028,plain,(![SV44:$i,SV109:($i>$o),SV249:$i,SV177:$i]: ((((~ ((r1@SV177)@SV249)) | (SV109@SV249))=$true) | (((r1@SV44)@SV177)=$false) | ((SV109@((sK28_SY324@SV109)@SV44))=$false))),inference(extcnf_forall_pos,[status(thm)],[913])). 1.45/1.76 thf(1029,plain,(![SV153:$i,SV110:($i>$o),SV228:$i,SV45:$i]: (((~ ((r1@SV45)@SV228))=$true) | ((~ (![SY458:$i]: ((~ ((r1@SV228)@SY458)) | (SV110@SY458))))=$true) | ((SV110@SV153)=$true) | (((r1@SV45)@SV153)=$false))),inference(extcnf_or_pos,[status(thm)],[914])). 1.45/1.76 thf(1030,plain,(![SV111:($i>$o),SV213:$i,SV46:$i]: ((((r1@SV46)@SV213)=$false) | ((![SY447:$i]: ((~ ((r4@SV213)@SY447)) | (SV111@SY447)))=$true) | (((r4@SV46)@((sK29_SY330@SV111)@SV46))=$true))),inference(extcnf_not_pos,[status(thm)],[915])). 1.45/1.76 thf(1031,plain,(![SV46:$i,SV111:($i>$o),SV250:$i,SV178:$i]: ((((~ ((r4@SV178)@SV250)) | (SV111@SV250))=$true) | (((r1@SV46)@SV178)=$false) | ((SV111@((sK29_SY330@SV111)@SV46))=$false))),inference(extcnf_forall_pos,[status(thm)],[916])). 1.45/1.76 thf(1032,plain,(![SV112:($i>$o),SV214:$i,SV47:$i]: ((((r3@SV47)@SV214)=$false) | ((![SY448:$i]: ((~ ((r1@SV214)@SY448)) | (SV112@SY448)))=$true) | (((r1@SV47)@((sK30_SY333@SV112)@SV47))=$true))),inference(extcnf_not_pos,[status(thm)],[917])). 1.45/1.76 thf(1033,plain,(![SV47:$i,SV112:($i>$o),SV251:$i,SV179:$i]: ((((~ ((r1@SV179)@SV251)) | (SV112@SV251))=$true) | (((r3@SV47)@SV179)=$false) | ((SV112@((sK30_SY333@SV112)@SV47))=$false))),inference(extcnf_forall_pos,[status(thm)],[918])). 1.45/1.76 thf(1034,plain,(![SV113:mu,SV48:$i,SV141:$i]: (((~ ((r2@SV141)@(((sK63_SY395@SV48)@SV113)@SV141)))=$false) | (((good_in_physics@SV113)@SV141)=$false) | (((r2@SV48)@SV141)=$false))),inference(extcnf_or_neg,[status(thm)],[919])). 1.45/1.76 thf(1035,plain,(![SV141:$i,SV48:$i,SV113:mu]: (((~ ((good_in_maths@SV113)@(((sK63_SY395@SV48)@SV113)@SV141)))=$false) | (((good_in_physics@SV113)@SV141)=$false) | (((r2@SV48)@SV141)=$false))),inference(extcnf_or_neg,[status(thm)],[919])). 1.45/1.76 thf(1036,plain,(![SV114:mu,SV49:$i,SV142:$i]: (((~ ((r4@SV142)@(((sK64_SY396@SV49)@SV114)@SV142)))=$false) | (((maths_student@SV114)@SV142)=$false) | (((r3@SV49)@SV142)=$false))),inference(extcnf_or_neg,[status(thm)],[920])). 1.45/1.76 thf(1037,plain,(![SV142:$i,SV49:$i,SV114:mu]: (((~ ((good_in_maths@SV114)@(((sK64_SY396@SV49)@SV114)@SV142)))=$false) | (((maths_student@SV114)@SV142)=$false) | (((r3@SV49)@SV142)=$false))),inference(extcnf_or_neg,[status(thm)],[920])). 1.45/1.76 thf(1038,plain,(![SV115:($i>$o),SV215:$i,SV50:$i]: ((((r4@SV50)@SV215)=$false) | ((![SY449:$i]: ((~ ((r1@SV215)@SY449)) | (SV115@SY449)))=$true) | (((r1@SV50)@((sK31_SY340@SV115)@SV50))=$true))),inference(extcnf_not_pos,[status(thm)],[921])). 1.45/1.76 thf(1039,plain,(![SV50:$i,SV115:($i>$o),SV252:$i,SV180:$i]: ((((~ ((r1@SV180)@SV252)) | (SV115@SV252))=$true) | (((r4@SV50)@SV180)=$false) | ((SV115@((sK31_SY340@SV115)@SV50))=$false))),inference(extcnf_forall_pos,[status(thm)],[922])). 1.45/1.76 thf(1040,plain,(![SV116:mu,SV51:$i,SV143:$i]: (((~ ((r4@SV143)@(((sK65_SY397@SV51)@SV116)@SV143)))=$false) | (((physics_student@SV116)@SV143)=$false) | (((r3@SV51)@SV143)=$false))),inference(extcnf_or_neg,[status(thm)],[923])). 1.45/1.76 thf(1041,plain,(![SV143:$i,SV51:$i,SV116:mu]: (((~ ((good_in_physics@SV116)@(((sK65_SY397@SV51)@SV116)@SV143)))=$false) | (((physics_student@SV116)@SV143)=$false) | (((r3@SV51)@SV143)=$false))),inference(extcnf_or_neg,[status(thm)],[923])). 1.45/1.76 thf(1042,plain,(![SV117:($i>$o),SV216:$i,SV52:$i]: ((((r1@SV52)@SV216)=$false) | ((![SY450:$i]: ((~ ((r5@SV216)@SY450)) | (SV117@SY450)))=$true) | (((r5@SV52)@((sK32_SY345@SV117)@SV52))=$true))),inference(extcnf_not_pos,[status(thm)],[924])). 1.45/1.76 thf(1043,plain,(![SV52:$i,SV117:($i>$o),SV253:$i,SV181:$i]: ((((~ ((r5@SV181)@SV253)) | (SV117@SV253))=$true) | (((r1@SV52)@SV181)=$false) | ((SV117@((sK32_SY345@SV117)@SV52))=$false))),inference(extcnf_forall_pos,[status(thm)],[925])). 1.45/1.76 thf(1044,plain,(![SV118:($i>$o),SV53:$i]: (((~ ((r1@SV53)@((sK66_SY349@SV118)@SV53)))=$false) | (((r1@SV53)@((sK33_SY348@SV118)@SV53))=$true))),inference(extcnf_or_neg,[status(thm)],[926])). 1.45/1.76 thf(1045,plain,(![SV53:$i,SV118:($i>$o)]: (((~ (SV118@((sK66_SY349@SV118)@SV53)))=$false) | (((r1@SV53)@((sK33_SY348@SV118)@SV53))=$true))),inference(extcnf_or_neg,[status(thm)],[926])). 1.45/1.76 thf(1046,plain,(![SV118:($i>$o),SV53:$i]: ((((r1@SV53)@((sK50_SY349@SV118)@SV53))=$true) | ((SV118@((sK33_SY348@SV118)@SV53))=$false))),inference(extcnf_not_neg,[status(thm)],[927])). 1.45/1.76 thf(1047,plain,(![SV53:$i,SV118:($i>$o)]: (((SV118@((sK50_SY349@SV118)@SV53))=$true) | ((SV118@((sK33_SY348@SV118)@SV53))=$false))),inference(extcnf_not_neg,[status(thm)],[928])). 1.45/1.76 thf(1048,plain,(![SV119:mu,SV54:$i,SV144:$i]: ((((r1@SV144)@(((sK51_SY398@SV54)@SV119)@SV144))=$true) | ((![SY399:$i]: ((~ ((r1@SV144)@SY399)) | ((good_in_maths@SV119)@SY399)))=$true) | (((r5@SV54)@SV144)=$false))),inference(extcnf_not_neg,[status(thm)],[929])). 1.45/1.76 thf(1049,plain,(![SV54:$i,SV119:mu,SV254:$i,SV144:$i]: ((((~ ((r1@SV144)@SV254)) | ((good_in_maths@SV119)@SV254))=$true) | (((mathematician@SV119)@(((sK51_SY398@SV54)@SV119)@SV144))=$false) | (((r5@SV54)@SV144)=$false))),inference(extcnf_forall_pos,[status(thm)],[930])). 1.45/1.76 thf(1050,plain,(![SV120:mu,SV55:$i,SV145:$i]: ((((r4@SV145)@(((sK52_SY400@SV55)@SV120)@SV145))=$true) | ((![SY401:$i]: ((~ ((r4@SV145)@SY401)) | ((good_in_maths@SV120)@SY401)))=$true) | (((r5@SV55)@SV145)=$false))),inference(extcnf_not_neg,[status(thm)],[931])). 1.45/1.76 thf(1051,plain,(![SV55:$i,SV120:mu,SV255:$i,SV145:$i]: ((((~ ((r4@SV145)@SV255)) | ((good_in_maths@SV120)@SV255))=$true) | (((mathematician@SV120)@(((sK52_SY400@SV55)@SV120)@SV145))=$false) | (((r5@SV55)@SV145)=$false))),inference(extcnf_forall_pos,[status(thm)],[932])). 1.45/1.76 thf(1052,plain,(![SV121:($i>$o),SV217:$i,SV56:$i]: ((((r1@SV56)@SV217)=$false) | ((SV121@SV217)=$true) | (((r4@SV56)@((sK34_SY356@SV121)@SV56))=$true))),inference(extcnf_not_pos,[status(thm)],[933])). 1.45/1.76 thf(1053,plain,(![SV122:($i>$o),SV218:$i,SV57:$i]: ((((r4@SV57)@SV218)=$false) | ((![SY451:$i]: ((~ ((r3@SV218)@SY451)) | (SV122@SY451)))=$true) | (((r3@SV57)@((sK35_SY358@SV122)@SV57))=$true))),inference(extcnf_not_pos,[status(thm)],[935])). 1.45/1.76 thf(1054,plain,(![SV57:$i,SV122:($i>$o),SV256:$i,SV183:$i]: ((((~ ((r3@SV183)@SV256)) | (SV122@SV256))=$true) | (((r4@SV57)@SV183)=$false) | ((SV122@((sK35_SY358@SV122)@SV57))=$false))),inference(extcnf_forall_pos,[status(thm)],[936])). 1.45/1.76 thf(1055,plain,(![SV123:mu,SV58:$i,SV146:$i]: (((~ ((r5@SV146)@(((sK67_SY402@SV58)@SV123)@SV146)))=$false) | (((maths_student@SV123)@SV146)=$false) | (((r3@SV58)@SV146)=$false))),inference(extcnf_or_neg,[status(thm)],[937])). 1.45/1.76 thf(1056,plain,(![SV146:$i,SV58:$i,SV123:mu]: (((~ ((good_in_maths@SV123)@(((sK67_SY402@SV58)@SV123)@SV146)))=$false) | (((maths_student@SV123)@SV146)=$false) | (((r3@SV58)@SV146)=$false))),inference(extcnf_or_neg,[status(thm)],[937])). 1.45/1.76 thf(1057,plain,(![SV124:($i>$o),SV219:$i,SV59:$i]: ((((r3@SV59)@SV219)=$false) | ((![SY452:$i]: ((~ ((r5@SV219)@SY452)) | (SV124@SY452)))=$true) | (((r5@SV59)@((sK36_SY363@SV124)@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[938])). 1.45/1.76 thf(1058,plain,(![SV59:$i,SV124:($i>$o),SV257:$i,SV184:$i]: ((((~ ((r5@SV184)@SV257)) | (SV124@SV257))=$true) | (((r3@SV59)@SV184)=$false) | ((SV124@((sK36_SY363@SV124)@SV59))=$false))),inference(extcnf_forall_pos,[status(thm)],[939])). 1.45/1.76 thf(1059,plain,(![SV125:($i>$o),SV220:$i,SV60:$i]: ((((r3@SV60)@SV220)=$false) | ((SV125@SV220)=$true) | (((r4@SV60)@((sK37_SY366@SV125)@SV60))=$true))),inference(extcnf_not_pos,[status(thm)],[940])). 1.45/1.76 thf(1060,plain,(![SV126:($i>$o),SV221:$i,SV61:$i]: ((((r5@SV61)@SV221)=$false) | ((![SY453:$i]: ((~ ((r5@SV221)@SY453)) | (SV126@SY453)))=$true) | (((r5@SV61)@((sK38_SY368@SV126)@SV61))=$true))),inference(extcnf_not_pos,[status(thm)],[942])). 1.45/1.76 thf(1061,plain,(![SV61:$i,SV126:($i>$o),SV258:$i,SV186:$i]: ((((~ ((r5@SV186)@SV258)) | (SV126@SV258))=$true) | (((r5@SV61)@SV186)=$false) | ((SV126@((sK38_SY368@SV126)@SV61))=$false))),inference(extcnf_forall_pos,[status(thm)],[943])). 1.45/1.76 thf(1062,plain,(![SV127:($i>$o),SV222:$i,SV62:$i]: ((((r2@SV62)@SV222)=$false) | ((SV127@SV222)=$true) | (((r5@SV62)@((sK39_SY371@SV127)@SV62))=$true))),inference(extcnf_not_pos,[status(thm)],[944])). 1.45/1.76 thf(1063,plain,(![SV154:$i,SV128:($i>$o),SV229:$i,SV63:$i]: (((~ ((r3@SV63)@SV229))=$true) | ((~ (![SY459:$i]: ((~ ((r3@SV229)@SY459)) | (SV128@SY459))))=$true) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_or_pos,[status(thm)],[946])). 1.45/1.76 thf(1064,plain,(![SV129:($i>$o),SV223:$i,SV64:$i]: ((((r5@SV64)@SV223)=$false) | ((![SY454:$i]: ((~ ((r4@SV223)@SY454)) | (SV129@SY454)))=$true) | (((r4@SV64)@((sK40_SY376@SV129)@SV64))=$true))),inference(extcnf_not_pos,[status(thm)],[947])). 1.45/1.76 thf(1065,plain,(![SV64:$i,SV129:($i>$o),SV259:$i,SV188:$i]: ((((~ ((r4@SV188)@SV259)) | (SV129@SV259))=$true) | (((r5@SV64)@SV188)=$false) | ((SV129@((sK40_SY376@SV129)@SV64))=$false))),inference(extcnf_forall_pos,[status(thm)],[948])). 1.45/1.76 thf(1066,plain,(![SV130:mu,SV65:$i,SV147:$i]: (((~ ((r1@SV147)@(((sK68_SY403@SV65)@SV130)@SV147)))=$false) | (((maths_student@SV130)@SV147)=$false) | (((r3@SV65)@SV147)=$false))),inference(extcnf_or_neg,[status(thm)],[949])). 1.45/1.76 thf(1067,plain,(![SV147:$i,SV65:$i,SV130:mu]: (((~ ((good_in_maths@SV130)@(((sK68_SY403@SV65)@SV130)@SV147)))=$false) | (((maths_student@SV130)@SV147)=$false) | (((r3@SV65)@SV147)=$false))),inference(extcnf_or_neg,[status(thm)],[949])). 1.45/1.76 thf(1068,plain,(![SV131:($i>$o),SV224:$i,SV66:$i]: ((((r1@SV66)@SV224)=$false) | ((SV131@SV224)=$true) | (((r2@SV66)@((sK41_SY381@SV131)@SV66))=$true))),inference(extcnf_not_pos,[status(thm)],[950])). 1.45/1.76 thf(1069,plain,(![SV1:$i,SV67:($i>$o),SV260:$i,SV190:$i]: ((((~ ((r5@SV190)@SV260)) | (SV67@SV260))=$true) | (((r4@SV1)@SV190)=$false) | (((r5@SV1)@((sK2_SY223@SV67)@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[952])). 1.45/1.76 thf(1070,plain,(![SV1:$i,SV67:($i>$o),SV230:$i,SV155:$i]: (((~ ((r5@SV155)@SV230))=$true) | ((SV67@SV230)=$true) | (((r4@SV1)@SV155)=$false) | ((SV67@((sK2_SY223@SV67)@SV1))=$false))),inference(extcnf_or_pos,[status(thm)],[953])). 1.45/1.76 thf(1071,plain,(![SV3:$i,SV69:mu,SV261:$i,SV132:$i]: ((((~ ((r5@SV132)@SV261)) | ((good_in_maths@SV69)@SV261))=$true) | (((r5@SV132)@(((sK43_SY383@SV3)@SV69)@SV132))=$true) | (((r5@SV3)@SV132)=$false))),inference(extcnf_forall_pos,[status(thm)],[955])). 1.45/1.76 thf(1072,plain,(![SV3:$i,SV69:mu,SV231:$i,SV132:$i]: (((~ ((r5@SV132)@SV231))=$true) | (((good_in_maths@SV69)@SV231)=$true) | (((mathematician@SV69)@(((sK43_SY383@SV3)@SV69)@SV132))=$false) | (((r5@SV3)@SV132)=$false))),inference(extcnf_or_pos,[status(thm)],[956])). 1.45/1.76 thf(1073,plain,(![SV4:$i,SV70:($i>$o),SV262:$i,SV192:$i]: ((((~ ((r3@SV192)@SV262)) | (SV70@SV262))=$true) | (((r2@SV4)@SV192)=$false) | (((r3@SV4)@((sK4_SY231@SV70)@SV4))=$true))),inference(extcnf_forall_pos,[status(thm)],[957])). 1.45/1.76 thf(1074,plain,(![SV4:$i,SV70:($i>$o),SV232:$i,SV157:$i]: (((~ ((r3@SV157)@SV232))=$true) | ((SV70@SV232)=$true) | (((r2@SV4)@SV157)=$false) | ((SV70@((sK4_SY231@SV70)@SV4))=$false))),inference(extcnf_or_pos,[status(thm)],[958])). 1.45/1.76 thf(1075,plain,(![SV5:$i,SV71:($i>$o),SV263:$i,SV193:$i]: ((((~ ((r2@SV193)@SV263)) | (SV71@SV263))=$true) | (((r1@SV5)@SV193)=$false) | (((r2@SV5)@((sK5_SY234@SV71)@SV5))=$true))),inference(extcnf_forall_pos,[status(thm)],[959])). 1.45/1.76 thf(1076,plain,(![SV5:$i,SV71:($i>$o),SV233:$i,SV158:$i]: (((~ ((r2@SV158)@SV233))=$true) | ((SV71@SV233)=$true) | (((r1@SV5)@SV158)=$false) | ((SV71@((sK5_SY234@SV71)@SV5))=$false))),inference(extcnf_or_pos,[status(thm)],[960])). 1.45/1.76 thf(1077,plain,(![SV8:$i,SV74:($i>$o),SV264:$i,SV195:$i]: ((((~ ((r4@SV195)@SV264)) | (SV74@SV264))=$true) | (((r4@SV8)@SV195)=$false) | (((r4@SV8)@((sK7_SY239@SV74)@SV8))=$true))),inference(extcnf_forall_pos,[status(thm)],[962])). 1.45/1.76 thf(1078,plain,(![SV8:$i,SV74:($i>$o),SV234:$i,SV160:$i]: (((~ ((r4@SV160)@SV234))=$true) | ((SV74@SV234)=$true) | (((r4@SV8)@SV160)=$false) | ((SV74@((sK7_SY239@SV74)@SV8))=$false))),inference(extcnf_or_pos,[status(thm)],[963])). 1.45/1.76 thf(1079,plain,(![SV9:$i,SV75:($i>$o),SV265:$i,SV196:$i]: ((((~ ((r3@SV196)@SV265)) | (SV75@SV265))=$true) | (((r5@SV9)@SV196)=$false) | (((r3@SV9)@((sK8_SY242@SV75)@SV9))=$true))),inference(extcnf_forall_pos,[status(thm)],[964])). 1.45/1.76 thf(1080,plain,(![SV9:$i,SV75:($i>$o),SV235:$i,SV161:$i]: (((~ ((r3@SV161)@SV235))=$true) | ((SV75@SV235)=$true) | (((r5@SV9)@SV161)=$false) | ((SV75@((sK8_SY242@SV75)@SV9))=$false))),inference(extcnf_or_pos,[status(thm)],[965])). 1.45/1.76 thf(1081,plain,(![SV76:($i>$o),SV10:$i]: ((((r2@SV10)@((sK53_SY246@SV76)@SV10))=$true) | (((r2@SV10)@((sK9_SY245@SV76)@SV10))=$true))),inference(extcnf_not_neg,[status(thm)],[966])). 1.45/1.76 thf(1082,plain,(![SV10:$i,SV76:($i>$o)]: (((SV76@((sK53_SY246@SV76)@SV10))=$true) | (((r2@SV10)@((sK9_SY245@SV76)@SV10))=$true))),inference(extcnf_not_neg,[status(thm)],[967])). 1.45/1.76 thf(1083,plain,(![SV77:mu,SV11:$i,SV133:$i]: ((((r2@SV133)@(((sK54_SY385@SV11)@SV77)@SV133))=$true) | (((maths_student@SV77)@SV133)=$false) | (((r3@SV11)@SV133)=$false))),inference(extcnf_not_neg,[status(thm)],[970])). 1.45/1.76 thf(1084,plain,(![SV133:$i,SV11:$i,SV77:mu]: ((((good_in_maths@SV77)@(((sK54_SY385@SV11)@SV77)@SV133))=$true) | (((maths_student@SV77)@SV133)=$false) | (((r3@SV11)@SV133)=$false))),inference(extcnf_not_neg,[status(thm)],[971])). 1.45/1.76 thf(1085,plain,(![SV13:$i,SV79:($i>$o),SV266:$i,SV198:$i]: ((((~ ((r1@SV198)@SV266)) | (SV79@SV266))=$true) | (((r2@SV13)@SV198)=$false) | (((r1@SV13)@((sK11_SY251@SV79)@SV13))=$true))),inference(extcnf_forall_pos,[status(thm)],[973])). 1.45/1.76 thf(1086,plain,(![SV13:$i,SV79:($i>$o),SV236:$i,SV163:$i]: (((~ ((r1@SV163)@SV236))=$true) | ((SV79@SV236)=$true) | (((r2@SV13)@SV163)=$false) | ((SV79@((sK11_SY251@SV79)@SV13))=$false))),inference(extcnf_or_pos,[status(thm)],[974])). 1.45/1.76 thf(1087,plain,(![SV80:($i>$o),SV14:$i]: ((((r5@SV14)@((sK55_SY255@SV80)@SV14))=$true) | (((r5@SV14)@((sK12_SY254@SV80)@SV14))=$true))),inference(extcnf_not_neg,[status(thm)],[975])). 1.45/1.76 thf(1088,plain,(![SV14:$i,SV80:($i>$o)]: (((SV80@((sK55_SY255@SV80)@SV14))=$true) | (((r5@SV14)@((sK12_SY254@SV80)@SV14))=$true))),inference(extcnf_not_neg,[status(thm)],[976])). 1.45/1.76 thf(1089,plain,(![SV150:$i,SV81:($i>$o),SV225:$i,SV15:$i]: ((((r5@SV15)@SV225)=$false) | ((~ (![SY455:$i]: ((~ ((r5@SV225)@SY455)) | (SV81@SY455))))=$true) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_not_pos,[status(thm)],[979])). 1.45/1.76 thf(1090,plain,(![SV16:$i,SV82:($i>$o),SV267:$i,SV199:$i]: ((((~ ((r3@SV199)@SV267)) | (SV82@SV267))=$true) | (((r3@SV16)@SV199)=$false) | (((r3@SV16)@((sK13_SY259@SV82)@SV16))=$true))),inference(extcnf_forall_pos,[status(thm)],[980])). 1.45/1.76 thf(1091,plain,(![SV16:$i,SV82:($i>$o),SV237:$i,SV164:$i]: (((~ ((r3@SV164)@SV237))=$true) | ((SV82@SV237)=$true) | (((r3@SV16)@SV164)=$false) | ((SV82@((sK13_SY259@SV82)@SV16))=$false))),inference(extcnf_or_pos,[status(thm)],[981])). 1.45/1.76 thf(1092,plain,(![SV83:mu,SV17:$i,SV134:$i]: ((((r1@SV134)@(((sK56_SY386@SV17)@SV83)@SV134))=$true) | (((physics_student@SV83)@SV134)=$false) | (((r3@SV17)@SV134)=$false))),inference(extcnf_not_neg,[status(thm)],[982])). 1.45/1.76 thf(1093,plain,(![SV134:$i,SV17:$i,SV83:mu]: ((((good_in_physics@SV83)@(((sK56_SY386@SV17)@SV83)@SV134))=$true) | (((physics_student@SV83)@SV134)=$false) | (((r3@SV17)@SV134)=$false))),inference(extcnf_not_neg,[status(thm)],[983])). 1.45/1.76 thf(1094,plain,(![SV18:$i,SV84:($i>$o),SV268:$i,SV200:$i]: ((((~ ((r2@SV200)@SV268)) | (SV84@SV268))=$true) | (((r4@SV18)@SV200)=$false) | (((r2@SV18)@((sK14_SY264@SV84)@SV18))=$true))),inference(extcnf_forall_pos,[status(thm)],[984])). 1.45/1.76 thf(1095,plain,(![SV18:$i,SV84:($i>$o),SV238:$i,SV165:$i]: (((~ ((r2@SV165)@SV238))=$true) | ((SV84@SV238)=$true) | (((r4@SV18)@SV165)=$false) | ((SV84@((sK14_SY264@SV84)@SV18))=$false))),inference(extcnf_or_pos,[status(thm)],[985])). 1.45/1.76 thf(1096,plain,(![SV22:$i,SV87:($i>$o),SV269:$i,SV203:$i]: ((((~ ((r2@SV203)@SV269)) | (SV87@SV269))=$true) | (((r2@SV22)@SV203)=$false) | (((r2@SV22)@((sK17_SY271@SV87)@SV22))=$true))),inference(extcnf_forall_pos,[status(thm)],[988])). 1.45/1.76 thf(1097,plain,(![SV22:$i,SV87:($i>$o),SV239:$i,SV168:$i]: (((~ ((r2@SV168)@SV239))=$true) | ((SV87@SV239)=$true) | (((r2@SV22)@SV168)=$false) | ((SV87@((sK17_SY271@SV87)@SV22))=$false))),inference(extcnf_or_pos,[status(thm)],[989])). 1.45/1.76 thf(1098,plain,(![SV23:$i,SV88:($i>$o),SV270:$i,SV204:$i]: ((((~ ((r4@SV204)@SV270)) | (SV88@SV270))=$true) | (((r3@SV23)@SV204)=$false) | (((r4@SV23)@((sK18_SY274@SV88)@SV23))=$true))),inference(extcnf_forall_pos,[status(thm)],[990])). 1.45/1.76 thf(1099,plain,(![SV23:$i,SV88:($i>$o),SV240:$i,SV169:$i]: (((~ ((r4@SV169)@SV240))=$true) | ((SV88@SV240)=$true) | (((r3@SV23)@SV169)=$false) | ((SV88@((sK18_SY274@SV88)@SV23))=$false))),inference(extcnf_or_pos,[status(thm)],[991])). 1.45/1.76 thf(1100,plain,(![SV25:$i,SV90:($i>$o),SV271:$i,SV205:$i]: ((((~ ((r1@SV205)@SV271)) | (SV90@SV271))=$true) | (((r5@SV25)@SV205)=$false) | (((r1@SV25)@((sK19_SY278@SV90)@SV25))=$true))),inference(extcnf_forall_pos,[status(thm)],[992])). 1.45/1.76 thf(1101,plain,(![SV25:$i,SV90:($i>$o),SV241:$i,SV170:$i]: (((~ ((r1@SV170)@SV241))=$true) | ((SV90@SV241)=$true) | (((r5@SV25)@SV170)=$false) | ((SV90@((sK19_SY278@SV90)@SV25))=$false))),inference(extcnf_or_pos,[status(thm)],[993])). 1.45/1.76 thf(1102,plain,(![SV91:mu,SV26:$i,SV135:$i]: ((((r3@SV135)@(((sK57_SY387@SV26)@SV91)@SV135))=$true) | (((maths_student@SV91)@SV135)=$false) | (((r3@SV26)@SV135)=$false))),inference(extcnf_not_neg,[status(thm)],[994])). 1.45/1.76 thf(1103,plain,(![SV135:$i,SV26:$i,SV91:mu]: ((((good_in_maths@SV91)@(((sK57_SY387@SV26)@SV91)@SV135))=$true) | (((maths_student@SV91)@SV135)=$false) | (((r3@SV26)@SV135)=$false))),inference(extcnf_not_neg,[status(thm)],[995])). 1.45/1.76 thf(1104,plain,(![SV92:($i>$o),SV27:$i]: ((((r4@SV27)@((sK58_SY284@SV92)@SV27))=$true) | (((r4@SV27)@((sK20_SY283@SV92)@SV27))=$true))),inference(extcnf_not_neg,[status(thm)],[996])). 1.45/1.76 thf(1105,plain,(![SV27:$i,SV92:($i>$o)]: (((SV92@((sK58_SY284@SV92)@SV27))=$true) | (((r4@SV27)@((sK20_SY283@SV92)@SV27))=$true))),inference(extcnf_not_neg,[status(thm)],[997])). 1.45/1.76 thf(1106,plain,(![SV28:$i,SV93:mu,SV272:$i,SV136:$i]: ((((~ ((r2@SV136)@SV272)) | ((good_in_maths@SV93)@SV272))=$true) | (((r2@SV136)@(((sK47_SY388@SV28)@SV93)@SV136))=$true) | (((r5@SV28)@SV136)=$false))),inference(extcnf_forall_pos,[status(thm)],[1000])). 1.45/1.76 thf(1107,plain,(![SV28:$i,SV93:mu,SV242:$i,SV136:$i]: (((~ ((r2@SV136)@SV242))=$true) | (((good_in_maths@SV93)@SV242)=$true) | (((mathematician@SV93)@(((sK47_SY388@SV28)@SV93)@SV136))=$false) | (((r5@SV28)@SV136)=$false))),inference(extcnf_or_pos,[status(thm)],[1001])). 1.45/1.76 thf(1108,plain,(![SV151:$i,SV95:($i>$o),SV226:$i,SV30:$i]: ((((r4@SV30)@SV226)=$false) | ((~ (![SY456:$i]: ((~ ((r4@SV226)@SY456)) | (SV95@SY456))))=$true) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_not_pos,[status(thm)],[1002])). 1.45/1.76 thf(1109,plain,(![SV96:mu,SV31:$i,SV137:$i]: ((((r2@SV137)@(((sK59_SY390@SV31)@SV96)@SV137))=$true) | (((physics_student@SV96)@SV137)=$false) | (((r3@SV31)@SV137)=$false))),inference(extcnf_not_neg,[status(thm)],[1003])). 1.45/1.76 thf(1110,plain,(![SV137:$i,SV31:$i,SV96:mu]: ((((good_in_physics@SV96)@(((sK59_SY390@SV31)@SV96)@SV137))=$true) | (((physics_student@SV96)@SV137)=$false) | (((r3@SV31)@SV137)=$false))),inference(extcnf_not_neg,[status(thm)],[1004])). 1.45/1.76 thf(1111,plain,(![SV32:$i,SV97:($i>$o),SV273:$i,SV206:$i]: ((((~ ((r5@SV206)@SV273)) | (SV97@SV273))=$true) | (((r2@SV32)@SV206)=$false) | (((r5@SV32)@((sK21_SY293@SV97)@SV32))=$true))),inference(extcnf_forall_pos,[status(thm)],[1005])). 1.45/1.76 thf(1112,plain,(![SV32:$i,SV97:($i>$o),SV243:$i,SV171:$i]: (((~ ((r5@SV171)@SV243))=$true) | ((SV97@SV243)=$true) | (((r2@SV32)@SV171)=$false) | ((SV97@((sK21_SY293@SV97)@SV32))=$false))),inference(extcnf_or_pos,[status(thm)],[1006])). 1.45/1.76 thf(1113,plain,(![SV33:$i,SV98:($i>$o),SV274:$i,SV207:$i]: ((((~ ((r4@SV207)@SV274)) | (SV98@SV274))=$true) | (((r2@SV33)@SV207)=$false) | (((r4@SV33)@((sK22_SY296@SV98)@SV33))=$true))),inference(extcnf_forall_pos,[status(thm)],[1007])). 1.45/1.76 thf(1114,plain,(![SV33:$i,SV98:($i>$o),SV244:$i,SV172:$i]: (((~ ((r4@SV172)@SV244))=$true) | ((SV98@SV244)=$true) | (((r2@SV33)@SV172)=$false) | ((SV98@((sK22_SY296@SV98)@SV33))=$false))),inference(extcnf_or_pos,[status(thm)],[1008])). 1.45/1.76 thf(1115,plain,(![SV99:($i>$o),SV34:$i]: ((((r3@SV34)@((sK60_SY300@SV99)@SV34))=$true) | (((r3@SV34)@((sK23_SY299@SV99)@SV34))=$true))),inference(extcnf_not_neg,[status(thm)],[1009])). 1.45/1.76 thf(1116,plain,(![SV34:$i,SV99:($i>$o)]: (((SV99@((sK60_SY300@SV99)@SV34))=$true) | (((r3@SV34)@((sK23_SY299@SV99)@SV34))=$true))),inference(extcnf_not_neg,[status(thm)],[1010])). 1.45/1.76 thf(1117,plain,(![SV100:mu,SV35:$i,SV138:$i]: ((((r5@SV138)@(((sK61_SY391@SV35)@SV100)@SV138))=$true) | (((physics_student@SV100)@SV138)=$false) | (((r3@SV35)@SV138)=$false))),inference(extcnf_not_neg,[status(thm)],[1013])). 1.45/1.76 thf(1118,plain,(![SV138:$i,SV35:$i,SV100:mu]: ((((good_in_physics@SV100)@(((sK61_SY391@SV35)@SV100)@SV138))=$true) | (((physics_student@SV100)@SV138)=$false) | (((r3@SV35)@SV138)=$false))),inference(extcnf_not_neg,[status(thm)],[1014])). 1.45/1.76 thf(1119,plain,(![SV36:$i,SV101:($i>$o),SV275:$i,SV208:$i]: ((((~ ((r2@SV208)@SV275)) | (SV101@SV275))=$true) | (((r5@SV36)@SV208)=$false) | (((r2@SV36)@((sK24_SY303@SV101)@SV36))=$true))),inference(extcnf_forall_pos,[status(thm)],[1015])). 1.45/1.76 thf(1120,plain,(![SV36:$i,SV101:($i>$o),SV245:$i,SV173:$i]: (((~ ((r2@SV173)@SV245))=$true) | ((SV101@SV245)=$true) | (((r5@SV36)@SV173)=$false) | ((SV101@((sK24_SY303@SV101)@SV36))=$false))),inference(extcnf_or_pos,[status(thm)],[1016])). 1.45/1.76 thf(1121,plain,(![SV102:mu,SV37:$i,SV139:$i]: ((((r3@SV139)@(((sK62_SY392@SV37)@SV102)@SV139))=$true) | (((physics_student@SV102)@SV139)=$false) | (((r3@SV37)@SV139)=$false))),inference(extcnf_not_neg,[status(thm)],[1017])). 1.45/1.76 thf(1122,plain,(![SV139:$i,SV37:$i,SV102:mu]: ((((good_in_physics@SV102)@(((sK62_SY392@SV37)@SV102)@SV139))=$true) | (((physics_student@SV102)@SV139)=$false) | (((r3@SV37)@SV139)=$false))),inference(extcnf_not_neg,[status(thm)],[1018])). 1.45/1.76 thf(1123,plain,(![SV39:$i,SV104:mu,SV276:$i,SV140:$i]: ((((~ ((r3@SV140)@SV276)) | ((good_in_maths@SV104)@SV276))=$true) | (((r3@SV140)@(((sK49_SY393@SV39)@SV104)@SV140))=$true) | (((r5@SV39)@SV140)=$false))),inference(extcnf_forall_pos,[status(thm)],[1020])). 1.45/1.76 thf(1124,plain,(![SV39:$i,SV104:mu,SV246:$i,SV140:$i]: (((~ ((r3@SV140)@SV246))=$true) | (((good_in_maths@SV104)@SV246)=$true) | (((mathematician@SV104)@(((sK49_SY393@SV39)@SV104)@SV140))=$false) | (((r5@SV39)@SV140)=$false))),inference(extcnf_or_pos,[status(thm)],[1021])). 1.45/1.76 thf(1125,plain,(![SV40:$i,SV105:($i>$o),SV277:$i,SV210:$i]: ((((~ ((r2@SV210)@SV277)) | (SV105@SV277))=$true) | (((r3@SV40)@SV210)=$false) | (((r2@SV40)@((sK26_SY313@SV105)@SV40))=$true))),inference(extcnf_forall_pos,[status(thm)],[1022])). 1.45/1.76 thf(1126,plain,(![SV40:$i,SV105:($i>$o),SV247:$i,SV175:$i]: (((~ ((r2@SV175)@SV247))=$true) | ((SV105@SV247)=$true) | (((r3@SV40)@SV175)=$false) | ((SV105@((sK26_SY313@SV105)@SV40))=$false))),inference(extcnf_or_pos,[status(thm)],[1023])). 1.45/1.76 thf(1127,plain,(![SV41:$i,SV106:($i>$o),SV278:$i,SV211:$i]: ((((~ ((r3@SV211)@SV278)) | (SV106@SV278))=$true) | (((r1@SV41)@SV211)=$false) | (((r3@SV41)@((sK27_SY316@SV106)@SV41))=$true))),inference(extcnf_forall_pos,[status(thm)],[1024])). 1.45/1.76 thf(1128,plain,(![SV41:$i,SV106:($i>$o),SV248:$i,SV176:$i]: (((~ ((r3@SV176)@SV248))=$true) | ((SV106@SV248)=$true) | (((r1@SV41)@SV176)=$false) | ((SV106@((sK27_SY316@SV106)@SV41))=$false))),inference(extcnf_or_pos,[status(thm)],[1025])). 1.45/1.76 thf(1129,plain,(![SV152:$i,SV108:($i>$o),SV227:$i,SV43:$i]: ((((r2@SV43)@SV227)=$false) | ((~ (![SY457:$i]: ((~ ((r2@SV227)@SY457)) | (SV108@SY457))))=$true) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_not_pos,[status(thm)],[1026])). 1.45/1.76 thf(1130,plain,(![SV44:$i,SV109:($i>$o),SV279:$i,SV212:$i]: ((((~ ((r1@SV212)@SV279)) | (SV109@SV279))=$true) | (((r1@SV44)@SV212)=$false) | (((r1@SV44)@((sK28_SY324@SV109)@SV44))=$true))),inference(extcnf_forall_pos,[status(thm)],[1027])). 1.45/1.76 thf(1131,plain,(![SV44:$i,SV109:($i>$o),SV249:$i,SV177:$i]: (((~ ((r1@SV177)@SV249))=$true) | ((SV109@SV249)=$true) | (((r1@SV44)@SV177)=$false) | ((SV109@((sK28_SY324@SV109)@SV44))=$false))),inference(extcnf_or_pos,[status(thm)],[1028])). 1.45/1.76 thf(1132,plain,(![SV153:$i,SV110:($i>$o),SV228:$i,SV45:$i]: ((((r1@SV45)@SV228)=$false) | ((~ (![SY458:$i]: ((~ 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((((good_in_maths@SV114)@(((sK64_SY396@SV49)@SV114)@SV142))=$true) | (((maths_student@SV114)@SV142)=$false) | (((r3@SV49)@SV142)=$false))),inference(extcnf_not_neg,[status(thm)],[1037])). 1.45/1.76 thf(1141,plain,(![SV50:$i,SV115:($i>$o),SV282:$i,SV215:$i]: ((((~ ((r1@SV215)@SV282)) | (SV115@SV282))=$true) | (((r4@SV50)@SV215)=$false) | (((r1@SV50)@((sK31_SY340@SV115)@SV50))=$true))),inference(extcnf_forall_pos,[status(thm)],[1038])). 1.45/1.76 thf(1142,plain,(![SV50:$i,SV115:($i>$o),SV252:$i,SV180:$i]: (((~ ((r1@SV180)@SV252))=$true) | ((SV115@SV252)=$true) | (((r4@SV50)@SV180)=$false) | ((SV115@((sK31_SY340@SV115)@SV50))=$false))),inference(extcnf_or_pos,[status(thm)],[1039])). 1.45/1.76 thf(1143,plain,(![SV116:mu,SV51:$i,SV143:$i]: ((((r4@SV143)@(((sK65_SY397@SV51)@SV116)@SV143))=$true) | (((physics_student@SV116)@SV143)=$false) | (((r3@SV51)@SV143)=$false))),inference(extcnf_not_neg,[status(thm)],[1040])). 1.45/1.76 thf(1144,plain,(![SV143:$i,SV51:$i,SV116:mu]: ((((good_in_physics@SV116)@(((sK65_SY397@SV51)@SV116)@SV143))=$true) | (((physics_student@SV116)@SV143)=$false) | (((r3@SV51)@SV143)=$false))),inference(extcnf_not_neg,[status(thm)],[1041])). 1.45/1.76 thf(1145,plain,(![SV52:$i,SV117:($i>$o),SV283:$i,SV216:$i]: ((((~ ((r5@SV216)@SV283)) | (SV117@SV283))=$true) | (((r1@SV52)@SV216)=$false) | (((r5@SV52)@((sK32_SY345@SV117)@SV52))=$true))),inference(extcnf_forall_pos,[status(thm)],[1042])). 1.45/1.76 thf(1146,plain,(![SV52:$i,SV117:($i>$o),SV253:$i,SV181:$i]: (((~ ((r5@SV181)@SV253))=$true) | ((SV117@SV253)=$true) | (((r1@SV52)@SV181)=$false) | ((SV117@((sK32_SY345@SV117)@SV52))=$false))),inference(extcnf_or_pos,[status(thm)],[1043])). 1.45/1.76 thf(1147,plain,(![SV118:($i>$o),SV53:$i]: ((((r1@SV53)@((sK66_SY349@SV118)@SV53))=$true) | (((r1@SV53)@((sK33_SY348@SV118)@SV53))=$true))),inference(extcnf_not_neg,[status(thm)],[1044])). 1.45/1.76 thf(1148,plain,(![SV53:$i,SV118:($i>$o)]: (((SV118@((sK66_SY349@SV118)@SV53))=$true) | (((r1@SV53)@((sK33_SY348@SV118)@SV53))=$true))),inference(extcnf_not_neg,[status(thm)],[1045])). 1.45/1.76 thf(1149,plain,(![SV54:$i,SV119:mu,SV284:$i,SV144:$i]: ((((~ ((r1@SV144)@SV284)) | ((good_in_maths@SV119)@SV284))=$true) | (((r1@SV144)@(((sK51_SY398@SV54)@SV119)@SV144))=$true) | (((r5@SV54)@SV144)=$false))),inference(extcnf_forall_pos,[status(thm)],[1048])). 1.45/1.76 thf(1150,plain,(![SV54:$i,SV119:mu,SV254:$i,SV144:$i]: (((~ ((r1@SV144)@SV254))=$true) | (((good_in_maths@SV119)@SV254)=$true) | (((mathematician@SV119)@(((sK51_SY398@SV54)@SV119)@SV144))=$false) | (((r5@SV54)@SV144)=$false))),inference(extcnf_or_pos,[status(thm)],[1049])). 1.45/1.76 thf(1151,plain,(![SV55:$i,SV120:mu,SV285:$i,SV145:$i]: ((((~ ((r4@SV145)@SV285)) | ((good_in_maths@SV120)@SV285))=$true) | (((r4@SV145)@(((sK52_SY400@SV55)@SV120)@SV145))=$true) | (((r5@SV55)@SV145)=$false))),inference(extcnf_forall_pos,[status(thm)],[1050])). 1.45/1.76 thf(1152,plain,(![SV55:$i,SV120:mu,SV255:$i,SV145:$i]: (((~ ((r4@SV145)@SV255))=$true) | (((good_in_maths@SV120)@SV255)=$true) | (((mathematician@SV120)@(((sK52_SY400@SV55)@SV120)@SV145))=$false) | (((r5@SV55)@SV145)=$false))),inference(extcnf_or_pos,[status(thm)],[1051])). 1.45/1.76 thf(1153,plain,(![SV57:$i,SV122:($i>$o),SV286:$i,SV218:$i]: ((((~ ((r3@SV218)@SV286)) | (SV122@SV286))=$true) | (((r4@SV57)@SV218)=$false) | (((r3@SV57)@((sK35_SY358@SV122)@SV57))=$true))),inference(extcnf_forall_pos,[status(thm)],[1053])). 1.45/1.76 thf(1154,plain,(![SV57:$i,SV122:($i>$o),SV256:$i,SV183:$i]: (((~ ((r3@SV183)@SV256))=$true) | ((SV122@SV256)=$true) | (((r4@SV57)@SV183)=$false) | ((SV122@((sK35_SY358@SV122)@SV57))=$false))),inference(extcnf_or_pos,[status(thm)],[1054])). 1.45/1.76 thf(1155,plain,(![SV123:mu,SV58:$i,SV146:$i]: ((((r5@SV146)@(((sK67_SY402@SV58)@SV123)@SV146))=$true) | (((maths_student@SV123)@SV146)=$false) | (((r3@SV58)@SV146)=$false))),inference(extcnf_not_neg,[status(thm)],[1055])). 1.45/1.76 thf(1156,plain,(![SV146:$i,SV58:$i,SV123:mu]: ((((good_in_maths@SV123)@(((sK67_SY402@SV58)@SV123)@SV146))=$true) | (((maths_student@SV123)@SV146)=$false) | (((r3@SV58)@SV146)=$false))),inference(extcnf_not_neg,[status(thm)],[1056])). 1.45/1.76 thf(1157,plain,(![SV59:$i,SV124:($i>$o),SV287:$i,SV219:$i]: ((((~ ((r5@SV219)@SV287)) | (SV124@SV287))=$true) | (((r3@SV59)@SV219)=$false) | (((r5@SV59)@((sK36_SY363@SV124)@SV59))=$true))),inference(extcnf_forall_pos,[status(thm)],[1057])). 1.45/1.76 thf(1158,plain,(![SV59:$i,SV124:($i>$o),SV257:$i,SV184:$i]: (((~ ((r5@SV184)@SV257))=$true) | ((SV124@SV257)=$true) | (((r3@SV59)@SV184)=$false) | ((SV124@((sK36_SY363@SV124)@SV59))=$false))),inference(extcnf_or_pos,[status(thm)],[1058])). 1.45/1.76 thf(1159,plain,(![SV61:$i,SV126:($i>$o),SV288:$i,SV221:$i]: ((((~ ((r5@SV221)@SV288)) | (SV126@SV288))=$true) | (((r5@SV61)@SV221)=$false) | (((r5@SV61)@((sK38_SY368@SV126)@SV61))=$true))),inference(extcnf_forall_pos,[status(thm)],[1060])). 1.45/1.76 thf(1160,plain,(![SV61:$i,SV126:($i>$o),SV258:$i,SV186:$i]: (((~ ((r5@SV186)@SV258))=$true) | ((SV126@SV258)=$true) | (((r5@SV61)@SV186)=$false) | ((SV126@((sK38_SY368@SV126)@SV61))=$false))),inference(extcnf_or_pos,[status(thm)],[1061])). 1.45/1.76 thf(1161,plain,(![SV154:$i,SV128:($i>$o),SV229:$i,SV63:$i]: ((((r3@SV63)@SV229)=$false) | ((~ (![SY459:$i]: ((~ ((r3@SV229)@SY459)) | (SV128@SY459))))=$true) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_not_pos,[status(thm)],[1063])). 1.45/1.76 thf(1162,plain,(![SV64:$i,SV129:($i>$o),SV289:$i,SV223:$i]: ((((~ ((r4@SV223)@SV289)) | (SV129@SV289))=$true) | (((r5@SV64)@SV223)=$false) | (((r4@SV64)@((sK40_SY376@SV129)@SV64))=$true))),inference(extcnf_forall_pos,[status(thm)],[1064])). 1.45/1.76 thf(1163,plain,(![SV64:$i,SV129:($i>$o),SV259:$i,SV188:$i]: (((~ ((r4@SV188)@SV259))=$true) | ((SV129@SV259)=$true) | (((r5@SV64)@SV188)=$false) | ((SV129@((sK40_SY376@SV129)@SV64))=$false))),inference(extcnf_or_pos,[status(thm)],[1065])). 1.45/1.76 thf(1164,plain,(![SV130:mu,SV65:$i,SV147:$i]: ((((r1@SV147)@(((sK68_SY403@SV65)@SV130)@SV147))=$true) | (((maths_student@SV130)@SV147)=$false) | (((r3@SV65)@SV147)=$false))),inference(extcnf_not_neg,[status(thm)],[1066])). 1.45/1.76 thf(1165,plain,(![SV147:$i,SV65:$i,SV130:mu]: ((((good_in_maths@SV130)@(((sK68_SY403@SV65)@SV130)@SV147))=$true) | (((maths_student@SV130)@SV147)=$false) | (((r3@SV65)@SV147)=$false))),inference(extcnf_not_neg,[status(thm)],[1067])). 1.45/1.76 thf(1166,plain,(![SV1:$i,SV67:($i>$o),SV260:$i,SV190:$i]: (((~ ((r5@SV190)@SV260))=$true) | ((SV67@SV260)=$true) | (((r4@SV1)@SV190)=$false) | (((r5@SV1)@((sK2_SY223@SV67)@SV1))=$true))),inference(extcnf_or_pos,[status(thm)],[1069])). 1.45/1.76 thf(1167,plain,(![SV1:$i,SV67:($i>$o),SV230:$i,SV155:$i]: ((((r5@SV155)@SV230)=$false) | ((SV67@SV230)=$true) | (((r4@SV1)@SV155)=$false) | ((SV67@((sK2_SY223@SV67)@SV1))=$false))),inference(extcnf_not_pos,[status(thm)],[1070])). 1.45/1.76 thf(1168,plain,(![SV3:$i,SV69:mu,SV261:$i,SV132:$i]: (((~ ((r5@SV132)@SV261))=$true) | (((good_in_maths@SV69)@SV261)=$true) | (((r5@SV132)@(((sK43_SY383@SV3)@SV69)@SV132))=$true) | (((r5@SV3)@SV132)=$false))),inference(extcnf_or_pos,[status(thm)],[1071])). 1.45/1.76 thf(1169,plain,(![SV3:$i,SV69:mu,SV231:$i,SV132:$i]: ((((r5@SV132)@SV231)=$false) | (((good_in_maths@SV69)@SV231)=$true) | (((mathematician@SV69)@(((sK43_SY383@SV3)@SV69)@SV132))=$false) | (((r5@SV3)@SV132)=$false))),inference(extcnf_not_pos,[status(thm)],[1072])). 1.45/1.76 thf(1170,plain,(![SV4:$i,SV70:($i>$o),SV262:$i,SV192:$i]: (((~ ((r3@SV192)@SV262))=$true) | ((SV70@SV262)=$true) | (((r2@SV4)@SV192)=$false) | (((r3@SV4)@((sK4_SY231@SV70)@SV4))=$true))),inference(extcnf_or_pos,[status(thm)],[1073])). 1.45/1.76 thf(1171,plain,(![SV4:$i,SV70:($i>$o),SV232:$i,SV157:$i]: ((((r3@SV157)@SV232)=$false) | ((SV70@SV232)=$true) | (((r2@SV4)@SV157)=$false) | ((SV70@((sK4_SY231@SV70)@SV4))=$false))),inference(extcnf_not_pos,[status(thm)],[1074])). 1.45/1.76 thf(1172,plain,(![SV5:$i,SV71:($i>$o),SV263:$i,SV193:$i]: (((~ ((r2@SV193)@SV263))=$true) | ((SV71@SV263)=$true) | (((r1@SV5)@SV193)=$false) | (((r2@SV5)@((sK5_SY234@SV71)@SV5))=$true))),inference(extcnf_or_pos,[status(thm)],[1075])). 1.45/1.76 thf(1173,plain,(![SV5:$i,SV71:($i>$o),SV233:$i,SV158:$i]: ((((r2@SV158)@SV233)=$false) | ((SV71@SV233)=$true) | (((r1@SV5)@SV158)=$false) | ((SV71@((sK5_SY234@SV71)@SV5))=$false))),inference(extcnf_not_pos,[status(thm)],[1076])). 1.45/1.76 thf(1174,plain,(![SV8:$i,SV74:($i>$o),SV264:$i,SV195:$i]: (((~ ((r4@SV195)@SV264))=$true) | ((SV74@SV264)=$true) | (((r4@SV8)@SV195)=$false) | (((r4@SV8)@((sK7_SY239@SV74)@SV8))=$true))),inference(extcnf_or_pos,[status(thm)],[1077])). 1.45/1.76 thf(1175,plain,(![SV8:$i,SV74:($i>$o),SV234:$i,SV160:$i]: ((((r4@SV160)@SV234)=$false) | ((SV74@SV234)=$true) | (((r4@SV8)@SV160)=$false) | ((SV74@((sK7_SY239@SV74)@SV8))=$false))),inference(extcnf_not_pos,[status(thm)],[1078])). 1.45/1.76 thf(1176,plain,(![SV9:$i,SV75:($i>$o),SV265:$i,SV196:$i]: (((~ ((r3@SV196)@SV265))=$true) | ((SV75@SV265)=$true) | (((r5@SV9)@SV196)=$false) | (((r3@SV9)@((sK8_SY242@SV75)@SV9))=$true))),inference(extcnf_or_pos,[status(thm)],[1079])). 1.45/1.76 thf(1177,plain,(![SV9:$i,SV75:($i>$o),SV235:$i,SV161:$i]: ((((r3@SV161)@SV235)=$false) | ((SV75@SV235)=$true) | (((r5@SV9)@SV161)=$false) | ((SV75@((sK8_SY242@SV75)@SV9))=$false))),inference(extcnf_not_pos,[status(thm)],[1080])). 1.45/1.76 thf(1178,plain,(![SV13:$i,SV79:($i>$o),SV266:$i,SV198:$i]: (((~ ((r1@SV198)@SV266))=$true) | ((SV79@SV266)=$true) | (((r2@SV13)@SV198)=$false) | (((r1@SV13)@((sK11_SY251@SV79)@SV13))=$true))),inference(extcnf_or_pos,[status(thm)],[1085])). 1.45/1.76 thf(1179,plain,(![SV13:$i,SV79:($i>$o),SV236:$i,SV163:$i]: ((((r1@SV163)@SV236)=$false) | ((SV79@SV236)=$true) | (((r2@SV13)@SV163)=$false) | ((SV79@((sK11_SY251@SV79)@SV13))=$false))),inference(extcnf_not_pos,[status(thm)],[1086])). 1.45/1.76 thf(1180,plain,(![SV150:$i,SV15:$i,SV81:($i>$o),SV225:$i]: (((![SY455:$i]: ((~ ((r5@SV225)@SY455)) | (SV81@SY455)))=$false) | (((r5@SV15)@SV225)=$false) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_not_pos,[status(thm)],[1089])). 1.45/1.76 thf(1181,plain,(![SV16:$i,SV82:($i>$o),SV267:$i,SV199:$i]: (((~ ((r3@SV199)@SV267))=$true) | ((SV82@SV267)=$true) | (((r3@SV16)@SV199)=$false) | (((r3@SV16)@((sK13_SY259@SV82)@SV16))=$true))),inference(extcnf_or_pos,[status(thm)],[1090])). 1.45/1.76 thf(1182,plain,(![SV16:$i,SV82:($i>$o),SV237:$i,SV164:$i]: ((((r3@SV164)@SV237)=$false) | ((SV82@SV237)=$true) | (((r3@SV16)@SV164)=$false) | ((SV82@((sK13_SY259@SV82)@SV16))=$false))),inference(extcnf_not_pos,[status(thm)],[1091])). 1.45/1.76 thf(1183,plain,(![SV18:$i,SV84:($i>$o),SV268:$i,SV200:$i]: (((~ ((r2@SV200)@SV268))=$true) | ((SV84@SV268)=$true) | (((r4@SV18)@SV200)=$false) | (((r2@SV18)@((sK14_SY264@SV84)@SV18))=$true))),inference(extcnf_or_pos,[status(thm)],[1094])). 1.45/1.76 thf(1184,plain,(![SV18:$i,SV84:($i>$o),SV238:$i,SV165:$i]: ((((r2@SV165)@SV238)=$false) | ((SV84@SV238)=$true) | (((r4@SV18)@SV165)=$false) | ((SV84@((sK14_SY264@SV84)@SV18))=$false))),inference(extcnf_not_pos,[status(thm)],[1095])). 1.45/1.76 thf(1185,plain,(![SV22:$i,SV87:($i>$o),SV269:$i,SV203:$i]: (((~ ((r2@SV203)@SV269))=$true) | ((SV87@SV269)=$true) | (((r2@SV22)@SV203)=$false) | (((r2@SV22)@((sK17_SY271@SV87)@SV22))=$true))),inference(extcnf_or_pos,[status(thm)],[1096])). 1.45/1.76 thf(1186,plain,(![SV22:$i,SV87:($i>$o),SV239:$i,SV168:$i]: ((((r2@SV168)@SV239)=$false) | ((SV87@SV239)=$true) | (((r2@SV22)@SV168)=$false) | ((SV87@((sK17_SY271@SV87)@SV22))=$false))),inference(extcnf_not_pos,[status(thm)],[1097])). 1.45/1.76 thf(1187,plain,(![SV23:$i,SV88:($i>$o),SV270:$i,SV204:$i]: (((~ ((r4@SV204)@SV270))=$true) | ((SV88@SV270)=$true) | (((r3@SV23)@SV204)=$false) | (((r4@SV23)@((sK18_SY274@SV88)@SV23))=$true))),inference(extcnf_or_pos,[status(thm)],[1098])). 1.45/1.76 thf(1188,plain,(![SV23:$i,SV88:($i>$o),SV240:$i,SV169:$i]: ((((r4@SV169)@SV240)=$false) | ((SV88@SV240)=$true) | (((r3@SV23)@SV169)=$false) | ((SV88@((sK18_SY274@SV88)@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[1099])). 1.45/1.76 thf(1189,plain,(![SV25:$i,SV90:($i>$o),SV271:$i,SV205:$i]: (((~ ((r1@SV205)@SV271))=$true) | ((SV90@SV271)=$true) | (((r5@SV25)@SV205)=$false) | (((r1@SV25)@((sK19_SY278@SV90)@SV25))=$true))),inference(extcnf_or_pos,[status(thm)],[1100])). 1.45/1.76 thf(1190,plain,(![SV25:$i,SV90:($i>$o),SV241:$i,SV170:$i]: ((((r1@SV170)@SV241)=$false) | ((SV90@SV241)=$true) | (((r5@SV25)@SV170)=$false) | ((SV90@((sK19_SY278@SV90)@SV25))=$false))),inference(extcnf_not_pos,[status(thm)],[1101])). 1.45/1.76 thf(1191,plain,(![SV28:$i,SV93:mu,SV272:$i,SV136:$i]: (((~ ((r2@SV136)@SV272))=$true) | (((good_in_maths@SV93)@SV272)=$true) | (((r2@SV136)@(((sK47_SY388@SV28)@SV93)@SV136))=$true) | (((r5@SV28)@SV136)=$false))),inference(extcnf_or_pos,[status(thm)],[1106])). 1.45/1.76 thf(1192,plain,(![SV28:$i,SV93:mu,SV242:$i,SV136:$i]: ((((r2@SV136)@SV242)=$false) | (((good_in_maths@SV93)@SV242)=$true) | (((mathematician@SV93)@(((sK47_SY388@SV28)@SV93)@SV136))=$false) | (((r5@SV28)@SV136)=$false))),inference(extcnf_not_pos,[status(thm)],[1107])). 1.45/1.76 thf(1193,plain,(![SV151:$i,SV30:$i,SV95:($i>$o),SV226:$i]: (((![SY456:$i]: ((~ ((r4@SV226)@SY456)) | (SV95@SY456)))=$false) | (((r4@SV30)@SV226)=$false) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_not_pos,[status(thm)],[1108])). 1.45/1.76 thf(1194,plain,(![SV32:$i,SV97:($i>$o),SV273:$i,SV206:$i]: (((~ ((r5@SV206)@SV273))=$true) | ((SV97@SV273)=$true) | (((r2@SV32)@SV206)=$false) | (((r5@SV32)@((sK21_SY293@SV97)@SV32))=$true))),inference(extcnf_or_pos,[status(thm)],[1111])). 1.45/1.76 thf(1195,plain,(![SV32:$i,SV97:($i>$o),SV243:$i,SV171:$i]: ((((r5@SV171)@SV243)=$false) | ((SV97@SV243)=$true) | (((r2@SV32)@SV171)=$false) | ((SV97@((sK21_SY293@SV97)@SV32))=$false))),inference(extcnf_not_pos,[status(thm)],[1112])). 1.45/1.76 thf(1196,plain,(![SV33:$i,SV98:($i>$o),SV274:$i,SV207:$i]: (((~ ((r4@SV207)@SV274))=$true) | ((SV98@SV274)=$true) | (((r2@SV33)@SV207)=$false) | (((r4@SV33)@((sK22_SY296@SV98)@SV33))=$true))),inference(extcnf_or_pos,[status(thm)],[1113])). 1.45/1.76 thf(1197,plain,(![SV33:$i,SV98:($i>$o),SV244:$i,SV172:$i]: ((((r4@SV172)@SV244)=$false) | ((SV98@SV244)=$true) | (((r2@SV33)@SV172)=$false) | ((SV98@((sK22_SY296@SV98)@SV33))=$false))),inference(extcnf_not_pos,[status(thm)],[1114])). 1.45/1.76 thf(1198,plain,(![SV36:$i,SV101:($i>$o),SV275:$i,SV208:$i]: (((~ ((r2@SV208)@SV275))=$true) | ((SV101@SV275)=$true) | (((r5@SV36)@SV208)=$false) | (((r2@SV36)@((sK24_SY303@SV101)@SV36))=$true))),inference(extcnf_or_pos,[status(thm)],[1119])). 1.45/1.76 thf(1199,plain,(![SV36:$i,SV101:($i>$o),SV245:$i,SV173:$i]: ((((r2@SV173)@SV245)=$false) | ((SV101@SV245)=$true) | (((r5@SV36)@SV173)=$false) | ((SV101@((sK24_SY303@SV101)@SV36))=$false))),inference(extcnf_not_pos,[status(thm)],[1120])). 1.45/1.76 thf(1200,plain,(![SV39:$i,SV104:mu,SV276:$i,SV140:$i]: (((~ ((r3@SV140)@SV276))=$true) | (((good_in_maths@SV104)@SV276)=$true) | (((r3@SV140)@(((sK49_SY393@SV39)@SV104)@SV140))=$true) | (((r5@SV39)@SV140)=$false))),inference(extcnf_or_pos,[status(thm)],[1123])). 1.45/1.76 thf(1201,plain,(![SV39:$i,SV104:mu,SV246:$i,SV140:$i]: ((((r3@SV140)@SV246)=$false) | (((good_in_maths@SV104)@SV246)=$true) | (((mathematician@SV104)@(((sK49_SY393@SV39)@SV104)@SV140))=$false) | (((r5@SV39)@SV140)=$false))),inference(extcnf_not_pos,[status(thm)],[1124])). 1.45/1.76 thf(1202,plain,(![SV40:$i,SV105:($i>$o),SV277:$i,SV210:$i]: (((~ ((r2@SV210)@SV277))=$true) | ((SV105@SV277)=$true) | (((r3@SV40)@SV210)=$false) | (((r2@SV40)@((sK26_SY313@SV105)@SV40))=$true))),inference(extcnf_or_pos,[status(thm)],[1125])). 1.45/1.76 thf(1203,plain,(![SV40:$i,SV105:($i>$o),SV247:$i,SV175:$i]: ((((r2@SV175)@SV247)=$false) | ((SV105@SV247)=$true) | (((r3@SV40)@SV175)=$false) | ((SV105@((sK26_SY313@SV105)@SV40))=$false))),inference(extcnf_not_pos,[status(thm)],[1126])). 1.45/1.76 thf(1204,plain,(![SV41:$i,SV106:($i>$o),SV278:$i,SV211:$i]: (((~ ((r3@SV211)@SV278))=$true) | ((SV106@SV278)=$true) | (((r1@SV41)@SV211)=$false) | (((r3@SV41)@((sK27_SY316@SV106)@SV41))=$true))),inference(extcnf_or_pos,[status(thm)],[1127])). 1.45/1.76 thf(1205,plain,(![SV41:$i,SV106:($i>$o),SV248:$i,SV176:$i]: ((((r3@SV176)@SV248)=$false) | ((SV106@SV248)=$true) | (((r1@SV41)@SV176)=$false) | ((SV106@((sK27_SY316@SV106)@SV41))=$false))),inference(extcnf_not_pos,[status(thm)],[1128])). 1.45/1.76 thf(1206,plain,(![SV152:$i,SV43:$i,SV108:($i>$o),SV227:$i]: (((![SY457:$i]: ((~ ((r2@SV227)@SY457)) | (SV108@SY457)))=$false) | (((r2@SV43)@SV227)=$false) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_not_pos,[status(thm)],[1129])). 1.45/1.76 thf(1207,plain,(![SV44:$i,SV109:($i>$o),SV279:$i,SV212:$i]: (((~ ((r1@SV212)@SV279))=$true) | ((SV109@SV279)=$true) | (((r1@SV44)@SV212)=$false) | (((r1@SV44)@((sK28_SY324@SV109)@SV44))=$true))),inference(extcnf_or_pos,[status(thm)],[1130])). 1.45/1.76 thf(1208,plain,(![SV44:$i,SV109:($i>$o),SV249:$i,SV177:$i]: ((((r1@SV177)@SV249)=$false) | ((SV109@SV249)=$true) | (((r1@SV44)@SV177)=$false) | ((SV109@((sK28_SY324@SV109)@SV44))=$false))),inference(extcnf_not_pos,[status(thm)],[1131])). 1.45/1.76 thf(1209,plain,(![SV153:$i,SV45:$i,SV110:($i>$o),SV228:$i]: (((![SY458:$i]: ((~ ((r1@SV228)@SY458)) | (SV110@SY458)))=$false) | (((r1@SV45)@SV228)=$false) | ((SV110@SV153)=$true) | (((r1@SV45)@SV153)=$false))),inference(extcnf_not_pos,[status(thm)],[1132])). 1.45/1.76 thf(1210,plain,(![SV46:$i,SV111:($i>$o),SV280:$i,SV213:$i]: (((~ ((r4@SV213)@SV280))=$true) | ((SV111@SV280)=$true) | (((r1@SV46)@SV213)=$false) | (((r4@SV46)@((sK29_SY330@SV111)@SV46))=$true))),inference(extcnf_or_pos,[status(thm)],[1133])). 1.45/1.76 thf(1211,plain,(![SV46:$i,SV111:($i>$o),SV250:$i,SV178:$i]: ((((r4@SV178)@SV250)=$false) | ((SV111@SV250)=$true) | (((r1@SV46)@SV178)=$false) | ((SV111@((sK29_SY330@SV111)@SV46))=$false))),inference(extcnf_not_pos,[status(thm)],[1134])). 1.45/1.76 thf(1212,plain,(![SV47:$i,SV112:($i>$o),SV281:$i,SV214:$i]: (((~ ((r1@SV214)@SV281))=$true) | ((SV112@SV281)=$true) | (((r3@SV47)@SV214)=$false) | (((r1@SV47)@((sK30_SY333@SV112)@SV47))=$true))),inference(extcnf_or_pos,[status(thm)],[1135])). 1.45/1.76 thf(1213,plain,(![SV47:$i,SV112:($i>$o),SV251:$i,SV179:$i]: ((((r1@SV179)@SV251)=$false) | ((SV112@SV251)=$true) | (((r3@SV47)@SV179)=$false) | ((SV112@((sK30_SY333@SV112)@SV47))=$false))),inference(extcnf_not_pos,[status(thm)],[1136])). 1.45/1.76 thf(1214,plain,(![SV50:$i,SV115:($i>$o),SV282:$i,SV215:$i]: (((~ ((r1@SV215)@SV282))=$true) | ((SV115@SV282)=$true) | (((r4@SV50)@SV215)=$false) | (((r1@SV50)@((sK31_SY340@SV115)@SV50))=$true))),inference(extcnf_or_pos,[status(thm)],[1141])). 1.45/1.76 thf(1215,plain,(![SV50:$i,SV115:($i>$o),SV252:$i,SV180:$i]: ((((r1@SV180)@SV252)=$false) | ((SV115@SV252)=$true) | (((r4@SV50)@SV180)=$false) | ((SV115@((sK31_SY340@SV115)@SV50))=$false))),inference(extcnf_not_pos,[status(thm)],[1142])). 1.45/1.76 thf(1216,plain,(![SV52:$i,SV117:($i>$o),SV283:$i,SV216:$i]: (((~ ((r5@SV216)@SV283))=$true) | ((SV117@SV283)=$true) | (((r1@SV52)@SV216)=$false) | (((r5@SV52)@((sK32_SY345@SV117)@SV52))=$true))),inference(extcnf_or_pos,[status(thm)],[1145])). 1.45/1.76 thf(1217,plain,(![SV52:$i,SV117:($i>$o),SV253:$i,SV181:$i]: ((((r5@SV181)@SV253)=$false) | ((SV117@SV253)=$true) | (((r1@SV52)@SV181)=$false) | ((SV117@((sK32_SY345@SV117)@SV52))=$false))),inference(extcnf_not_pos,[status(thm)],[1146])). 1.45/1.76 thf(1218,plain,(![SV54:$i,SV119:mu,SV284:$i,SV144:$i]: (((~ ((r1@SV144)@SV284))=$true) | (((good_in_maths@SV119)@SV284)=$true) | (((r1@SV144)@(((sK51_SY398@SV54)@SV119)@SV144))=$true) | (((r5@SV54)@SV144)=$false))),inference(extcnf_or_pos,[status(thm)],[1149])). 1.45/1.76 thf(1219,plain,(![SV54:$i,SV119:mu,SV254:$i,SV144:$i]: ((((r1@SV144)@SV254)=$false) | (((good_in_maths@SV119)@SV254)=$true) | (((mathematician@SV119)@(((sK51_SY398@SV54)@SV119)@SV144))=$false) | (((r5@SV54)@SV144)=$false))),inference(extcnf_not_pos,[status(thm)],[1150])). 1.45/1.76 thf(1220,plain,(![SV55:$i,SV120:mu,SV285:$i,SV145:$i]: (((~ ((r4@SV145)@SV285))=$true) | (((good_in_maths@SV120)@SV285)=$true) | (((r4@SV145)@(((sK52_SY400@SV55)@SV120)@SV145))=$true) | (((r5@SV55)@SV145)=$false))),inference(extcnf_or_pos,[status(thm)],[1151])). 1.45/1.76 thf(1221,plain,(![SV55:$i,SV120:mu,SV255:$i,SV145:$i]: ((((r4@SV145)@SV255)=$false) | (((good_in_maths@SV120)@SV255)=$true) | (((mathematician@SV120)@(((sK52_SY400@SV55)@SV120)@SV145))=$false) | (((r5@SV55)@SV145)=$false))),inference(extcnf_not_pos,[status(thm)],[1152])). 1.45/1.76 thf(1222,plain,(![SV57:$i,SV122:($i>$o),SV286:$i,SV218:$i]: (((~ ((r3@SV218)@SV286))=$true) | ((SV122@SV286)=$true) | (((r4@SV57)@SV218)=$false) | (((r3@SV57)@((sK35_SY358@SV122)@SV57))=$true))),inference(extcnf_or_pos,[status(thm)],[1153])). 1.45/1.76 thf(1223,plain,(![SV57:$i,SV122:($i>$o),SV256:$i,SV183:$i]: ((((r3@SV183)@SV256)=$false) | ((SV122@SV256)=$true) | (((r4@SV57)@SV183)=$false) | ((SV122@((sK35_SY358@SV122)@SV57))=$false))),inference(extcnf_not_pos,[status(thm)],[1154])). 1.45/1.76 thf(1224,plain,(![SV59:$i,SV124:($i>$o),SV287:$i,SV219:$i]: (((~ ((r5@SV219)@SV287))=$true) | ((SV124@SV287)=$true) | (((r3@SV59)@SV219)=$false) | (((r5@SV59)@((sK36_SY363@SV124)@SV59))=$true))),inference(extcnf_or_pos,[status(thm)],[1157])). 1.45/1.76 thf(1225,plain,(![SV59:$i,SV124:($i>$o),SV257:$i,SV184:$i]: ((((r5@SV184)@SV257)=$false) | ((SV124@SV257)=$true) | (((r3@SV59)@SV184)=$false) | ((SV124@((sK36_SY363@SV124)@SV59))=$false))),inference(extcnf_not_pos,[status(thm)],[1158])). 1.45/1.76 thf(1226,plain,(![SV61:$i,SV126:($i>$o),SV288:$i,SV221:$i]: (((~ ((r5@SV221)@SV288))=$true) | ((SV126@SV288)=$true) | (((r5@SV61)@SV221)=$false) | (((r5@SV61)@((sK38_SY368@SV126)@SV61))=$true))),inference(extcnf_or_pos,[status(thm)],[1159])). 1.45/1.76 thf(1227,plain,(![SV61:$i,SV126:($i>$o),SV258:$i,SV186:$i]: ((((r5@SV186)@SV258)=$false) | ((SV126@SV258)=$true) | (((r5@SV61)@SV186)=$false) | ((SV126@((sK38_SY368@SV126)@SV61))=$false))),inference(extcnf_not_pos,[status(thm)],[1160])). 1.45/1.76 thf(1228,plain,(![SV154:$i,SV63:$i,SV128:($i>$o),SV229:$i]: (((![SY459:$i]: ((~ ((r3@SV229)@SY459)) | (SV128@SY459)))=$false) | (((r3@SV63)@SV229)=$false) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_not_pos,[status(thm)],[1161])). 1.45/1.76 thf(1229,plain,(![SV64:$i,SV129:($i>$o),SV289:$i,SV223:$i]: (((~ ((r4@SV223)@SV289))=$true) | ((SV129@SV289)=$true) | (((r5@SV64)@SV223)=$false) | (((r4@SV64)@((sK40_SY376@SV129)@SV64))=$true))),inference(extcnf_or_pos,[status(thm)],[1162])). 1.45/1.76 thf(1230,plain,(![SV64:$i,SV129:($i>$o),SV259:$i,SV188:$i]: ((((r4@SV188)@SV259)=$false) | ((SV129@SV259)=$true) | (((r5@SV64)@SV188)=$false) | ((SV129@((sK40_SY376@SV129)@SV64))=$false))),inference(extcnf_not_pos,[status(thm)],[1163])). 1.45/1.76 thf(1231,plain,(![SV1:$i,SV67:($i>$o),SV260:$i,SV190:$i]: ((((r5@SV190)@SV260)=$false) | ((SV67@SV260)=$true) | (((r4@SV1)@SV190)=$false) | (((r5@SV1)@((sK2_SY223@SV67)@SV1))=$true))),inference(extcnf_not_pos,[status(thm)],[1166])). 1.45/1.76 thf(1232,plain,(![SV3:$i,SV69:mu,SV261:$i,SV132:$i]: ((((r5@SV132)@SV261)=$false) | (((good_in_maths@SV69)@SV261)=$true) | (((r5@SV132)@(((sK43_SY383@SV3)@SV69)@SV132))=$true) | (((r5@SV3)@SV132)=$false))),inference(extcnf_not_pos,[status(thm)],[1168])). 1.45/1.76 thf(1233,plain,(![SV4:$i,SV70:($i>$o),SV262:$i,SV192:$i]: ((((r3@SV192)@SV262)=$false) | ((SV70@SV262)=$true) | (((r2@SV4)@SV192)=$false) | (((r3@SV4)@((sK4_SY231@SV70)@SV4))=$true))),inference(extcnf_not_pos,[status(thm)],[1170])). 1.45/1.76 thf(1234,plain,(![SV5:$i,SV71:($i>$o),SV263:$i,SV193:$i]: ((((r2@SV193)@SV263)=$false) | ((SV71@SV263)=$true) | (((r1@SV5)@SV193)=$false) | (((r2@SV5)@((sK5_SY234@SV71)@SV5))=$true))),inference(extcnf_not_pos,[status(thm)],[1172])). 1.45/1.76 thf(1235,plain,(![SV8:$i,SV74:($i>$o),SV264:$i,SV195:$i]: ((((r4@SV195)@SV264)=$false) | ((SV74@SV264)=$true) | (((r4@SV8)@SV195)=$false) | (((r4@SV8)@((sK7_SY239@SV74)@SV8))=$true))),inference(extcnf_not_pos,[status(thm)],[1174])). 1.45/1.76 thf(1236,plain,(![SV9:$i,SV75:($i>$o),SV265:$i,SV196:$i]: ((((r3@SV196)@SV265)=$false) | ((SV75@SV265)=$true) | (((r5@SV9)@SV196)=$false) | (((r3@SV9)@((sK8_SY242@SV75)@SV9))=$true))),inference(extcnf_not_pos,[status(thm)],[1176])). 1.45/1.76 thf(1237,plain,(![SV13:$i,SV79:($i>$o),SV266:$i,SV198:$i]: ((((r1@SV198)@SV266)=$false) | ((SV79@SV266)=$true) | (((r2@SV13)@SV198)=$false) | (((r1@SV13)@((sK11_SY251@SV79)@SV13))=$true))),inference(extcnf_not_pos,[status(thm)],[1178])). 1.45/1.76 thf(1238,plain,(![SV81:($i>$o),SV15:$i,SV150:$i,SV225:$i]: ((((~ ((r5@SV225)@((((sK69_SY455@SV150)@SV15)@SV81)@SV225))) | (SV81@((((sK69_SY455@SV150)@SV15)@SV81)@SV225)))=$false) | (((r5@SV15)@SV225)=$false) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_forall_neg,[status(esa)],[1180])). 1.45/1.76 thf(1239,plain,(![SV16:$i,SV82:($i>$o),SV267:$i,SV199:$i]: ((((r3@SV199)@SV267)=$false) | ((SV82@SV267)=$true) | (((r3@SV16)@SV199)=$false) | (((r3@SV16)@((sK13_SY259@SV82)@SV16))=$true))),inference(extcnf_not_pos,[status(thm)],[1181])). 1.45/1.76 thf(1240,plain,(![SV18:$i,SV84:($i>$o),SV268:$i,SV200:$i]: ((((r2@SV200)@SV268)=$false) | ((SV84@SV268)=$true) | (((r4@SV18)@SV200)=$false) | (((r2@SV18)@((sK14_SY264@SV84)@SV18))=$true))),inference(extcnf_not_pos,[status(thm)],[1183])). 1.45/1.76 thf(1241,plain,(![SV22:$i,SV87:($i>$o),SV269:$i,SV203:$i]: ((((r2@SV203)@SV269)=$false) | ((SV87@SV269)=$true) | (((r2@SV22)@SV203)=$false) | (((r2@SV22)@((sK17_SY271@SV87)@SV22))=$true))),inference(extcnf_not_pos,[status(thm)],[1185])). 1.45/1.76 thf(1242,plain,(![SV23:$i,SV88:($i>$o),SV270:$i,SV204:$i]: ((((r4@SV204)@SV270)=$false) | ((SV88@SV270)=$true) | (((r3@SV23)@SV204)=$false) | (((r4@SV23)@((sK18_SY274@SV88)@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[1187])). 1.45/1.76 thf(1243,plain,(![SV25:$i,SV90:($i>$o),SV271:$i,SV205:$i]: ((((r1@SV205)@SV271)=$false) | ((SV90@SV271)=$true) | (((r5@SV25)@SV205)=$false) | (((r1@SV25)@((sK19_SY278@SV90)@SV25))=$true))),inference(extcnf_not_pos,[status(thm)],[1189])). 1.45/1.76 thf(1244,plain,(![SV28:$i,SV93:mu,SV272:$i,SV136:$i]: ((((r2@SV136)@SV272)=$false) | (((good_in_maths@SV93)@SV272)=$true) | (((r2@SV136)@(((sK47_SY388@SV28)@SV93)@SV136))=$true) | (((r5@SV28)@SV136)=$false))),inference(extcnf_not_pos,[status(thm)],[1191])). 1.45/1.76 thf(1245,plain,(![SV95:($i>$o),SV30:$i,SV151:$i,SV226:$i]: ((((~ ((r4@SV226)@((((sK70_SY456@SV151)@SV30)@SV95)@SV226))) | (SV95@((((sK70_SY456@SV151)@SV30)@SV95)@SV226)))=$false) | (((r4@SV30)@SV226)=$false) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_forall_neg,[status(esa)],[1193])). 1.45/1.76 thf(1246,plain,(![SV32:$i,SV97:($i>$o),SV273:$i,SV206:$i]: ((((r5@SV206)@SV273)=$false) | ((SV97@SV273)=$true) | (((r2@SV32)@SV206)=$false) | (((r5@SV32)@((sK21_SY293@SV97)@SV32))=$true))),inference(extcnf_not_pos,[status(thm)],[1194])). 1.45/1.76 thf(1247,plain,(![SV33:$i,SV98:($i>$o),SV274:$i,SV207:$i]: ((((r4@SV207)@SV274)=$false) | ((SV98@SV274)=$true) | (((r2@SV33)@SV207)=$false) | (((r4@SV33)@((sK22_SY296@SV98)@SV33))=$true))),inference(extcnf_not_pos,[status(thm)],[1196])). 1.45/1.76 thf(1248,plain,(![SV36:$i,SV101:($i>$o),SV275:$i,SV208:$i]: ((((r2@SV208)@SV275)=$false) | ((SV101@SV275)=$true) | (((r5@SV36)@SV208)=$false) | (((r2@SV36)@((sK24_SY303@SV101)@SV36))=$true))),inference(extcnf_not_pos,[status(thm)],[1198])). 1.45/1.76 thf(1249,plain,(![SV39:$i,SV104:mu,SV276:$i,SV140:$i]: ((((r3@SV140)@SV276)=$false) | (((good_in_maths@SV104)@SV276)=$true) | (((r3@SV140)@(((sK49_SY393@SV39)@SV104)@SV140))=$true) | (((r5@SV39)@SV140)=$false))),inference(extcnf_not_pos,[status(thm)],[1200])). 1.45/1.76 thf(1250,plain,(![SV40:$i,SV105:($i>$o),SV277:$i,SV210:$i]: ((((r2@SV210)@SV277)=$false) | ((SV105@SV277)=$true) | (((r3@SV40)@SV210)=$false) | (((r2@SV40)@((sK26_SY313@SV105)@SV40))=$true))),inference(extcnf_not_pos,[status(thm)],[1202])). 1.45/1.76 thf(1251,plain,(![SV41:$i,SV106:($i>$o),SV278:$i,SV211:$i]: ((((r3@SV211)@SV278)=$false) | ((SV106@SV278)=$true) | (((r1@SV41)@SV211)=$false) | (((r3@SV41)@((sK27_SY316@SV106)@SV41))=$true))),inference(extcnf_not_pos,[status(thm)],[1204])). 1.45/1.76 thf(1252,plain,(![SV108:($i>$o),SV43:$i,SV152:$i,SV227:$i]: ((((~ ((r2@SV227)@((((sK71_SY457@SV152)@SV43)@SV108)@SV227))) | (SV108@((((sK71_SY457@SV152)@SV43)@SV108)@SV227)))=$false) | (((r2@SV43)@SV227)=$false) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_forall_neg,[status(esa)],[1206])). 1.45/1.76 thf(1253,plain,(![SV44:$i,SV109:($i>$o),SV279:$i,SV212:$i]: ((((r1@SV212)@SV279)=$false) | ((SV109@SV279)=$true) | (((r1@SV44)@SV212)=$false) | (((r1@SV44)@((sK28_SY324@SV109)@SV44))=$true))),inference(extcnf_not_pos,[status(thm)],[1207])). 1.45/1.76 thf(1254,plain,(![SV110:($i>$o),SV45:$i,SV153:$i,SV228:$i]: ((((~ ((r1@SV228)@((((sK72_SY458@SV153)@SV45)@SV110)@SV228))) | (SV110@((((sK72_SY458@SV153)@SV45)@SV110)@SV228)))=$false) | (((r1@SV45)@SV228)=$false) | ((SV110@SV153)=$true) | (((r1@SV45)@SV153)=$false))),inference(extcnf_forall_neg,[status(esa)],[1209])). 1.45/1.76 thf(1255,plain,(![SV46:$i,SV111:($i>$o),SV280:$i,SV213:$i]: ((((r4@SV213)@SV280)=$false) | ((SV111@SV280)=$true) | (((r1@SV46)@SV213)=$false) | (((r4@SV46)@((sK29_SY330@SV111)@SV46))=$true))),inference(extcnf_not_pos,[status(thm)],[1210])). 1.45/1.76 thf(1256,plain,(![SV47:$i,SV112:($i>$o),SV281:$i,SV214:$i]: ((((r1@SV214)@SV281)=$false) | ((SV112@SV281)=$true) | (((r3@SV47)@SV214)=$false) | (((r1@SV47)@((sK30_SY333@SV112)@SV47))=$true))),inference(extcnf_not_pos,[status(thm)],[1212])). 1.45/1.76 thf(1257,plain,(![SV50:$i,SV115:($i>$o),SV282:$i,SV215:$i]: ((((r1@SV215)@SV282)=$false) | ((SV115@SV282)=$true) | (((r4@SV50)@SV215)=$false) | (((r1@SV50)@((sK31_SY340@SV115)@SV50))=$true))),inference(extcnf_not_pos,[status(thm)],[1214])). 1.45/1.76 thf(1258,plain,(![SV52:$i,SV117:($i>$o),SV283:$i,SV216:$i]: ((((r5@SV216)@SV283)=$false) | ((SV117@SV283)=$true) | (((r1@SV52)@SV216)=$false) | (((r5@SV52)@((sK32_SY345@SV117)@SV52))=$true))),inference(extcnf_not_pos,[status(thm)],[1216])). 1.45/1.76 thf(1259,plain,(![SV54:$i,SV119:mu,SV284:$i,SV144:$i]: ((((r1@SV144)@SV284)=$false) | (((good_in_maths@SV119)@SV284)=$true) | (((r1@SV144)@(((sK51_SY398@SV54)@SV119)@SV144))=$true) | (((r5@SV54)@SV144)=$false))),inference(extcnf_not_pos,[status(thm)],[1218])). 1.45/1.76 thf(1260,plain,(![SV55:$i,SV120:mu,SV285:$i,SV145:$i]: ((((r4@SV145)@SV285)=$false) | (((good_in_maths@SV120)@SV285)=$true) | (((r4@SV145)@(((sK52_SY400@SV55)@SV120)@SV145))=$true) | (((r5@SV55)@SV145)=$false))),inference(extcnf_not_pos,[status(thm)],[1220])). 1.45/1.76 thf(1261,plain,(![SV57:$i,SV122:($i>$o),SV286:$i,SV218:$i]: ((((r3@SV218)@SV286)=$false) | ((SV122@SV286)=$true) | (((r4@SV57)@SV218)=$false) | (((r3@SV57)@((sK35_SY358@SV122)@SV57))=$true))),inference(extcnf_not_pos,[status(thm)],[1222])). 1.45/1.76 thf(1262,plain,(![SV59:$i,SV124:($i>$o),SV287:$i,SV219:$i]: ((((r5@SV219)@SV287)=$false) | ((SV124@SV287)=$true) | (((r3@SV59)@SV219)=$false) | (((r5@SV59)@((sK36_SY363@SV124)@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[1224])). 1.45/1.76 thf(1263,plain,(![SV61:$i,SV126:($i>$o),SV288:$i,SV221:$i]: ((((r5@SV221)@SV288)=$false) | ((SV126@SV288)=$true) | (((r5@SV61)@SV221)=$false) | (((r5@SV61)@((sK38_SY368@SV126)@SV61))=$true))),inference(extcnf_not_pos,[status(thm)],[1226])). 1.45/1.76 thf(1264,plain,(![SV128:($i>$o),SV63:$i,SV154:$i,SV229:$i]: ((((~ ((r3@SV229)@((((sK73_SY459@SV154)@SV63)@SV128)@SV229))) | (SV128@((((sK73_SY459@SV154)@SV63)@SV128)@SV229)))=$false) | (((r3@SV63)@SV229)=$false) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_forall_neg,[status(esa)],[1228])). 1.45/1.76 thf(1265,plain,(![SV64:$i,SV129:($i>$o),SV289:$i,SV223:$i]: ((((r4@SV223)@SV289)=$false) | ((SV129@SV289)=$true) | (((r5@SV64)@SV223)=$false) | (((r4@SV64)@((sK40_SY376@SV129)@SV64))=$true))),inference(extcnf_not_pos,[status(thm)],[1229])). 1.45/1.76 thf(1266,plain,(![SV81:($i>$o),SV15:$i,SV150:$i,SV225:$i]: (((~ ((r5@SV225)@((((sK69_SY455@SV150)@SV15)@SV81)@SV225)))=$false) | (((r5@SV15)@SV225)=$false) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_or_neg,[status(thm)],[1238])). 1.45/1.76 thf(1267,plain,(![SV225:$i,SV15:$i,SV150:$i,SV81:($i>$o)]: (((SV81@((((sK69_SY455@SV150)@SV15)@SV81)@SV225))=$false) | (((r5@SV15)@SV225)=$false) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_or_neg,[status(thm)],[1238])). 1.45/1.76 thf(1268,plain,(![SV95:($i>$o),SV30:$i,SV151:$i,SV226:$i]: (((~ ((r4@SV226)@((((sK70_SY456@SV151)@SV30)@SV95)@SV226)))=$false) | (((r4@SV30)@SV226)=$false) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_or_neg,[status(thm)],[1245])). 1.45/1.76 thf(1269,plain,(![SV226:$i,SV30:$i,SV151:$i,SV95:($i>$o)]: (((SV95@((((sK70_SY456@SV151)@SV30)@SV95)@SV226))=$false) | (((r4@SV30)@SV226)=$false) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_or_neg,[status(thm)],[1245])). 1.45/1.76 thf(1270,plain,(![SV108:($i>$o),SV43:$i,SV152:$i,SV227:$i]: (((~ ((r2@SV227)@((((sK71_SY457@SV152)@SV43)@SV108)@SV227)))=$false) | (((r2@SV43)@SV227)=$false) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_or_neg,[status(thm)],[1252])). 1.45/1.76 thf(1271,plain,(![SV227:$i,SV43:$i,SV152:$i,SV108:($i>$o)]: (((SV108@((((sK71_SY457@SV152)@SV43)@SV108)@SV227))=$false) | (((r2@SV43)@SV227)=$false) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_or_neg,[status(thm)],[1252])). 1.45/1.76 thf(1272,plain,(![SV110:($i>$o),SV45:$i,SV153:$i,SV228:$i]: (((~ ((r1@SV228)@((((sK72_SY458@SV153)@SV45)@SV110)@SV228)))=$false) | (((r1@SV45)@SV228)=$false) | ((SV110@SV153)=$true) | (((r1@SV45)@SV153)=$false))),inference(extcnf_or_neg,[status(thm)],[1254])). 1.45/1.76 thf(1273,plain,(![SV228:$i,SV45:$i,SV153:$i,SV110:($i>$o)]: (((SV110@((((sK72_SY458@SV153)@SV45)@SV110)@SV228))=$false) | (((r1@SV45)@SV228)=$false) | ((SV110@SV153)=$true) | (((r1@SV45)@SV153)=$false))),inference(extcnf_or_neg,[status(thm)],[1254])). 1.45/1.76 thf(1274,plain,(![SV128:($i>$o),SV63:$i,SV154:$i,SV229:$i]: (((~ ((r3@SV229)@((((sK73_SY459@SV154)@SV63)@SV128)@SV229)))=$false) | (((r3@SV63)@SV229)=$false) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_or_neg,[status(thm)],[1264])). 1.45/1.76 thf(1275,plain,(![SV229:$i,SV63:$i,SV154:$i,SV128:($i>$o)]: (((SV128@((((sK73_SY459@SV154)@SV63)@SV128)@SV229))=$false) | (((r3@SV63)@SV229)=$false) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_or_neg,[status(thm)],[1264])). 1.45/1.76 thf(1276,plain,(![SV81:($i>$o),SV15:$i,SV150:$i,SV225:$i]: ((((r5@SV225)@((((sK69_SY455@SV150)@SV15)@SV81)@SV225))=$true) | (((r5@SV15)@SV225)=$false) | ((SV81@SV150)=$true) | (((r5@SV15)@SV150)=$false))),inference(extcnf_not_neg,[status(thm)],[1266])). 1.45/1.76 thf(1277,plain,(![SV95:($i>$o),SV30:$i,SV151:$i,SV226:$i]: ((((r4@SV226)@((((sK70_SY456@SV151)@SV30)@SV95)@SV226))=$true) | (((r4@SV30)@SV226)=$false) | ((SV95@SV151)=$true) | (((r4@SV30)@SV151)=$false))),inference(extcnf_not_neg,[status(thm)],[1268])). 1.45/1.76 thf(1278,plain,(![SV108:($i>$o),SV43:$i,SV152:$i,SV227:$i]: ((((r2@SV227)@((((sK71_SY457@SV152)@SV43)@SV108)@SV227))=$true) | (((r2@SV43)@SV227)=$false) | ((SV108@SV152)=$true) | (((r2@SV43)@SV152)=$false))),inference(extcnf_not_neg,[status(thm)],[1270])). 1.45/1.76 thf(1279,plain,(![SV110:($i>$o),SV45:$i,SV153:$i,SV228:$i]: ((((r1@SV228)@((((sK72_SY458@SV153)@SV45)@SV110)@SV228))=$true) | (((r1@SV45)@SV228)=$false) | ((SV110@SV153)=$true) | (((r1@SV45)@SV153)=$false))),inference(extcnf_not_neg,[status(thm)],[1272])). 1.45/1.76 thf(1280,plain,(![SV128:($i>$o),SV63:$i,SV154:$i,SV229:$i]: ((((r3@SV229)@((((sK73_SY459@SV154)@SV63)@SV128)@SV229))=$true) | (((r3@SV63)@SV229)=$false) | ((SV128@SV154)=$true) | (((r3@SV63)@SV154)=$false))),inference(extcnf_not_neg,[status(thm)],[1274])). 1.45/1.76 thf(1281,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[222,1280,1279,1278,1277,1276,1275,1273,1271,1269,1267,1265,1263,1262,1261,1260,1259,1258,1257,1256,1255,1253,1251,1250,1249,1248,1247,1246,1244,1243,1242,1241,1240,1239,1237,1236,1235,1234,1233,1232,1231,1230,1227,1225,1223,1221,1219,1217,1215,1213,1211,1208,1205,1203,1201,1199,1197,1195,1192,1190,1188,1186,1184,1182,1179,1177,1175,1173,1171,1169,1167,1165,1164,1156,1155,1148,1147,1144,1143,1140,1139,1138,1137,1122,1121,1118,1117,1116,1115,1110,1109,1105,1104,1103,1102,1093,1092,1088,1087,1084,1083,1082,1081,1068,1062,1059,1052,1047,1046,1019,1012,1011,999,998,987,986,978,977,972,969,968,961,954,951,945,941,934,904,877,875,862,852,844,803,701,673,443,430,409])). 1.45/1.76 thf(1282,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[1281])). 1.45/1.76 % SZS output end CNFRefutation 1.45/1.76 1.45/1.76 %**** End of derivation protocol **** 1.45/1.76 %**** no. of clauses in derivation: 1282 **** 1.45/1.76 %**** clause counter: 1281 **** 1.45/1.76 1.45/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1281,loop_count:0,foatp_calls:1,translation:fof_full) 1.45/1.77 EOF