0.00/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.11/0.35 % Computer : n011.cluster.edu 0.11/0.35 % Model : x86_64 x86_64 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.35 % Memory : 8042.1875MB 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.36 % CPULimit : 960 0.11/0.36 % WCLimit : 120 0.11/0.36 % DateTime : Tue Aug 9 04:49:06 EDT 2022 0.11/0.36 % CPUTime : 0.11/0.36 0.11/0.36 No.of.Axioms: 3 0.11/0.36 0.11/0.36 Length.of.Defs: 5645 0.11/0.36 0.11/0.36 Contains.Choice.Funs: false 0.16/0.37 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full).......... 0.46/0.72 0.46/0.72 ******************************** 0.46/0.72 * All subproblems solved! * 0.46/0.72 ******************************** 0.46/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:187,loop_count:0,foatp_calls:1,translation:fof_full) 0.52/0.74 0.52/0.74 %**** Beginning of derivation protocol **** 0.52/0.74 % SZS output start CNFRefutation 0.52/0.74 thf(tp_mu,type,(mu: $tType)). 0.52/0.74 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_mbox,type,(mbox: (($i>($i>$o))>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_mbox_s5,type,(mbox_s5: (($i>$o)>($i>$o)))). 0.52/0.74 thf(tp_mcountersatisfiable,type,(mcountersatisfiable: (($i>$o)>$o))). 0.52/0.74 thf(tp_mdia,type,(mdia: (($i>($i>$o))>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_mdia_s5,type,(mdia_s5: (($i>$o)>($i>$o)))). 0.52/0.74 thf(tp_meq_ind,type,(meq_ind: (mu>(mu>($i>$o))))). 0.52/0.74 thf(tp_meq_prop,type,(meq_prop: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_mequiv,type,(mequiv: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_meuclidean,type,(meuclidean: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mexists_ind,type,(mexists_ind: ((mu>($i>$o))>($i>$o)))). 0.52/0.74 thf(tp_mexists_prop,type,(mexists_prop: ((($i>$o)>($i>$o))>($i>$o)))). 0.52/0.74 thf(tp_mfalse,type,(mfalse: ($i>$o))). 0.52/0.74 thf(tp_mforall_ind,type,(mforall_ind: ((mu>($i>$o))>($i>$o)))). 0.52/0.74 thf(tp_mforall_prop,type,(mforall_prop: ((($i>$o)>($i>$o))>($i>$o)))). 0.52/0.74 thf(tp_mfunctional,type,(mfunctional: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mimplied,type,(mimplied: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_mimplies,type,(mimplies: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))). 0.52/0.74 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))). 0.52/0.74 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_mpartially_functional,type,(mpartially_functional: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mreflexive,type,(mreflexive: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_msatisfiable,type,(msatisfiable: (($i>$o)>$o))). 0.52/0.74 thf(tp_mserial,type,(mserial: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_msymmetric,type,(msymmetric: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mtransitive,type,(mtransitive: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mtrue,type,(mtrue: ($i>$o))). 0.52/0.74 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))). 0.52/0.74 thf(tp_mweakly_connected,type,(mweakly_connected: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mweakly_dense,type,(mweakly_dense: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mweakly_directed,type,(mweakly_directed: (($i>($i>$o))>$o))). 0.52/0.74 thf(tp_mxor,type,(mxor: (($i>$o)>(($i>$o)>($i>$o))))). 0.52/0.74 thf(tp_p,type,(p: ($i>$o))). 0.52/0.74 thf(tp_q,type,(q: ($i>$o))). 0.52/0.74 thf(tp_rel_s5,type,(rel_s5: ($i>($i>$o)))). 0.52/0.74 thf(tp_sK10_SY25,type,(sK10_SY25: $i)). 0.52/0.74 thf(tp_sK11_SY27,type,(sK11_SY27: $i)). 0.52/0.74 thf(tp_sK12_SY19,type,(sK12_SY19: ($i>($i>$i)))). 0.52/0.74 thf(tp_sK13_SY28,type,(sK13_SY28: $i)). 0.52/0.74 thf(tp_sK14_SY31,type,(sK14_SY31: ($i>($i>$i)))). 0.52/0.74 thf(tp_sK1_SX0,type,(sK1_SX0: $i)). 0.52/0.74 thf(tp_sK2_SY4,type,(sK2_SY4: $i)). 0.52/0.74 thf(tp_sK3_SY15,type,(sK3_SY15: $i)). 0.52/0.74 thf(tp_sK4_SY21,type,(sK4_SY21: $i)). 0.52/0.74 thf(tp_sK5_SY19,type,(sK5_SY19: $i)). 0.52/0.74 thf(tp_sK6_SY19,type,(sK6_SY19: $i)). 0.52/0.74 thf(tp_sK7_SY19,type,(sK7_SY19: $i)). 0.52/0.74 thf(tp_sK8_SY19,type,(sK8_SY19: $i)). 0.52/0.74 thf(tp_sK9_SY23,type,(sK9_SY23: $i)). 0.52/0.74 thf(mand,definition,(mand = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mor@(mnot@Phi))@(mnot@Psi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)). 0.52/0.74 thf(mbox,definition,(mbox = (^[R:($i>($i>$o)),Phi:($i>$o),W:$i]: (![V:$i]: ((~ ((R@W)@V)) | (Phi@V))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 0.52/0.74 thf(mbox_s5,definition,(mbox_s5 = (^[Phi:($i>$o),W:$i]: (![V:$i]: ((~ ((rel_s5@W)@V)) | (Phi@V))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s5)). 0.52/0.74 thf(mcountersatisfiable,definition,(mcountersatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable)). 0.52/0.74 thf(mdia,definition,(mdia = (^[R:($i>($i>$o)),Phi:($i>$o)]: (mnot@((mbox@R)@(mnot@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)). 0.52/0.74 thf(mdia_s5,definition,(mdia_s5 = (^[Phi:($i>$o)]: (mnot@(mbox_s5@(mnot@Phi))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_s5)). 0.52/0.74 thf(meq_ind,definition,(meq_ind = (^[X:mu,Y:mu,W:$i]: (X = Y))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind)). 0.52/0.74 thf(meq_prop,definition,(meq_prop = (^[X:($i>$o),Y:($i>$o),W:$i]: ((X@W) = (Y@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop)). 0.52/0.74 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)). 0.52/0.74 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)). 0.52/0.74 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)). 0.52/0.74 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)). 0.52/0.74 thf(mfalse,definition,(mfalse = (mnot@mtrue)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse)). 0.52/0.74 thf(mforall_ind,definition,(mforall_ind = (^[Phi:(mu>($i>$o)),W:$i]: (![X:mu]: ((Phi@X)@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)). 0.52/0.74 thf(mforall_prop,definition,(mforall_prop = (^[Phi:(($i>$o)>($i>$o)),W:$i]: (![P:($i>$o)]: ((Phi@P)@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)). 0.52/0.74 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)). 0.52/0.74 thf(mimplied,definition,(mimplied = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Psi))@Phi))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied)). 0.52/0.74 thf(mimplies,definition,(mimplies = (^[Phi:($i>$o),Psi:($i>$o)]: ((mor@(mnot@Phi))@Psi))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 0.52/0.74 thf(minvalid,definition,(minvalid = (^[Phi:($i>$o)]: (![W:$i]: (~ (Phi@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid)). 0.52/0.74 thf(mnot,definition,(mnot = (^[Phi:($i>$o),W:$i]: (~ (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 0.52/0.74 thf(mor,definition,(mor = (^[Phi:($i>$o),Psi:($i>$o),W:$i]: ((Phi@W) | (Psi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 0.52/0.74 thf(mpartially_functional,definition,(mpartially_functional = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: ((((R@S)@T) & ((R@S)@U)) => (T = U))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional)). 0.52/0.74 thf(mreflexive,definition,(mreflexive = (^[R:($i>($i>$o))]: (![S:$i]: ((R@S)@S)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive)). 0.52/0.74 thf(msatisfiable,definition,(msatisfiable = (^[Phi:($i>$o)]: (?[W:$i]: (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable)). 0.52/0.74 thf(mserial,definition,(mserial = (^[R:($i>($i>$o))]: (![S:$i]: (?[T:$i]: ((R@S)@T))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial)). 0.52/0.74 thf(msymmetric,definition,(msymmetric = (^[R:($i>($i>$o))]: (![S:$i,T:$i]: (((R@S)@T) => ((R@T)@S))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)). 0.52/0.74 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)). 0.52/0.74 thf(mtrue,definition,(mtrue = (^[W:$i]: $true)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue)). 0.52/0.74 thf(mvalid,definition,(mvalid = (^[Phi:($i>$o)]: (![W:$i]: (Phi@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 0.52/0.74 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)). 0.52/0.74 thf(mweakly_dense,definition,(mweakly_dense = (^[R:($i>($i>$o))]: (![S:$i,T:$i,U:$i]: (((R@S)@T) => (?[U:$i]: (((R@S)@U) & ((R@U)@T))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense)). 0.52/0.74 thf(mweakly_directed,definition,(mweakly_directed = (^[R:($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)). 0.52/0.74 thf(mxor,definition,(mxor = (^[Phi:($i>$o),Psi:($i>$o)]: (mnot@((mequiv@Phi)@Psi)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor)). 0.52/0.74 thf(1,axiom,(mtransitive@rel_s5),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2)). 0.52/0.74 thf(2,axiom,(mreflexive@rel_s5),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1)). 0.52/0.74 thf(3,axiom,(msymmetric@rel_s5),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3)). 0.52/0.74 thf(4,conjecture,(mvalid@(mbox_s5@((mequiv@(mbox_s5@((mimplies@(mdia_s5@p))@q)))@(mbox_s5@((mimplies@p)@(mbox_s5@q)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)). 0.52/0.74 thf(5,negated_conjecture,(((mvalid@(mbox_s5@((mequiv@(mbox_s5@((mimplies@(mdia_s5@p))@q)))@(mbox_s5@((mimplies@p)@(mbox_s5@q))))))=$false)),inference(negate_conjecture,[status(cth)],[4])). 0.52/0.74 thf(6,plain,(((~ (mvalid@(mbox_s5@((mequiv@(mbox_s5@((mimplies@(mdia_s5@p))@q)))@(mbox_s5@((mimplies@p)@(mbox_s5@q)))))))=$true)),inference(polarity_switch,[status(thm)],[5])). 0.52/0.74 thf(7,plain,(((msymmetric@rel_s5)=$true)),inference(copy,[status(thm)],[3])). 0.52/0.74 thf(8,plain,(((mreflexive@rel_s5)=$true)),inference(copy,[status(thm)],[2])). 0.52/0.74 thf(9,plain,(((mtransitive@rel_s5)=$true)),inference(copy,[status(thm)],[1])). 0.52/0.74 thf(10,plain,(((~ (mvalid@(mbox_s5@((mequiv@(mbox_s5@((mimplies@(mdia_s5@p))@q)))@(mbox_s5@((mimplies@p)@(mbox_s5@q)))))))=$true)),inference(copy,[status(thm)],[6])). 0.52/0.74 thf(11,plain,(((![SX0:$i]: ((rel_s5@SX0)@SX0))=$true)),inference(unfold_def,[status(thm)],[8,mand,mbox,mbox_s5,mcountersatisfiable,mdia,mdia_s5,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])). 0.52/0.74 thf(12,plain,(((![SX0:$i,SX1:$i]: ((~ ((rel_s5@SX0)@SX1)) | ((rel_s5@SX1)@SX0)))=$true)),inference(unfold_def,[status(thm)],[7,mand,mbox,mbox_s5,mcountersatisfiable,mdia,mdia_s5,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 0.52/0.74 thf(13,plain,(((![SX0:$i,SX1:$i,SX2:$i]: ((~ (~ ((~ ((rel_s5@SX0)@SX1)) | (~ ((rel_s5@SX1)@SX2))))) | ((rel_s5@SX0)@SX2)))=$true)),inference(unfold_def,[status(thm)],[9,mand,mbox,mbox_s5,mcountersatisfiable,mdia,mdia_s5,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor])). 0.52/0.74 thf(14,plain,(((~ (![SX0:$i,SX1:$i]: ((~ ((rel_s5@SX0)@SX1)) | (~ ((~ ((~ (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (~ (p@SX3)))))) | (q@SX2))))) | (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (p@SX2)) | (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (q@SX3)))))))) | (~ ((~ (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (p@SX2)) | (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (q@SX3))))))) | (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (~ (p@SX3)))))) | (q@SX2)))))))))))=$true)),inference(unfold_def,[status(thm)],[10,mand,mbox,mbox_s5,mcountersatisfiable,mdia,mdia_s5,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])). 0.52/0.74 thf(15,plain,(![SV1:$i]: ((((rel_s5@SV1)@SV1)=$true))),inference(extcnf_forall_pos,[status(thm)],[11])). 0.52/0.74 thf(16,plain,(![SV2:$i]: (((![SY0:$i]: ((~ ((rel_s5@SV2)@SY0)) | ((rel_s5@SY0)@SV2)))=$true))),inference(extcnf_forall_pos,[status(thm)],[12])). 0.52/0.74 thf(17,plain,(![SV3:$i]: (((![SY1:$i,SY2:$i]: ((~ (~ ((~ ((rel_s5@SV3)@SY1)) | (~ ((rel_s5@SY1)@SY2))))) | ((rel_s5@SV3)@SY2)))=$true))),inference(extcnf_forall_pos,[status(thm)],[13])). 0.52/0.74 thf(18,plain,(((![SX0:$i,SX1:$i]: ((~ ((rel_s5@SX0)@SX1)) | (~ ((~ ((~ (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (~ (p@SX3)))))) | (q@SX2))))) | (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (p@SX2)) | (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (q@SX3)))))))) | (~ ((~ (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (p@SX2)) | (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (q@SX3))))))) | (![SX2:$i]: ((~ ((rel_s5@SX1)@SX2)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SX2)@SX3)) | (~ (p@SX3)))))) | (q@SX2))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[14])). 0.52/0.74 thf(19,plain,(![SV4:$i,SV2:$i]: ((((~ ((rel_s5@SV2)@SV4)) | 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(((rel_s5@sK2_SY4)@SV7)=$false) | ((~ ((~ (![SY17:$i]: ((~ ((rel_s5@sK2_SY4)@SY17)) | ((~ (p@SY17)) | (![SX3:$i]: ((~ ((rel_s5@SY17)@SX3)) | (q@SX3))))))) | (![SY19:$i]: ((~ ((rel_s5@sK2_SY4)@SY19)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SY19)@SX3)) | (~ (p@SX3)))))) | (q@SY19))))))=$true))),inference(extcnf_not_pos,[status(thm)],[87])). 0.52/0.74 thf(100,plain,(![SV8:$i]: (((~ (p@SV8))=$true) | ((![SY24:$i]: ((~ ((rel_s5@SV8)@SY24)) | (q@SY24)))=$true) | (((rel_s5@sK2_SY4)@SV8)=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true))),inference(extcnf_or_pos,[status(thm)],[88])). 0.52/0.74 thf(101,plain,(((![SY23:$i]: ((~ ((rel_s5@sK5_SY19)@SY23)) | (~ (p@SY23))))=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true)),inference(extcnf_not_pos,[status(thm)],[89])). 0.52/0.74 thf(102,plain,(![SV10:$i]: ((((rel_s5@sK2_SY4)@SV10)=$false) | (((~ (p@SV10)) | (![SY26:$i]: ((~ ((rel_s5@SV10)@SY26)) | (q@SY26))))=$true) | ((p@sK3_SY15)=$true))),inference(extcnf_not_pos,[status(thm)],[90])). 0.52/0.74 thf(103,plain,(((~ (![SY25:$i]: ((~ ((rel_s5@sK6_SY19)@SY25)) | (~ (p@SY25)))))=$true) | ((p@sK3_SY15)=$true)),inference(extcnf_not_neg,[status(thm)],[92])). 0.52/0.74 thf(104,plain,(![SV12:$i]: ((((~ ((rel_s5@sK2_SY4)@SV12)) | ((~ (p@SV12)) | (![SY30:$i]: ((~ ((rel_s5@SV12)@SY30)) | (q@SY30)))))=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_forall_pos,[status(thm)],[94])). 0.52/0.74 thf(105,plain,(((~ ((rel_s5@sK2_SY4)@sK8_SY19))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_or_neg,[status(thm)],[95])). 0.52/0.74 thf(106,plain,((((~ (~ (![SY28:$i]: ((~ ((rel_s5@sK8_SY19)@SY28)) | (~ (p@SY28)))))) | (q@sK8_SY19))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_or_neg,[status(thm)],[95])). 0.52/0.74 thf(107,plain,(![SV11:$i]: (((~ ((rel_s5@sK2_SY4)@SV11))=$true) | (((~ (p@SV11)) | (![SY29:$i]: ((~ ((rel_s5@SV11)@SY29)) | (q@SY29))))=$true) | ((q@sK4_SY21)=$false))),inference(extcnf_or_pos,[status(thm)],[96])). 0.52/0.74 thf(108,plain,((((rel_s5@sK2_SY4)@sK7_SY19)=$true) | ((q@sK4_SY21)=$false)),inference(extcnf_not_neg,[status(thm)],[97])). 0.52/0.74 thf(109,plain,(((~ (~ (![SY27:$i]: ((~ ((rel_s5@sK7_SY19)@SY27)) | (~ (p@SY27))))))=$false) | ((q@sK4_SY21)=$false)),inference(extcnf_or_neg,[status(thm)],[98])). 0.52/0.74 thf(110,plain,(((q@sK7_SY19)=$false) | ((q@sK4_SY21)=$false)),inference(extcnf_or_neg,[status(thm)],[98])). 0.52/0.74 thf(111,plain,(![SV7:$i,SV9:$i]: (((p@SV9)=$false) | (((rel_s5@SV7)@SV9)=$false) | ((q@SV7)=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((~ ((~ (![SY17:$i]: ((~ ((rel_s5@sK2_SY4)@SY17)) | ((~ (p@SY17)) | (![SX3:$i]: ((~ ((rel_s5@SY17)@SX3)) | (q@SX3))))))) | (![SY19:$i]: ((~ ((rel_s5@sK2_SY4)@SY19)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SY19)@SX3)) | (~ (p@SX3)))))) | (q@SY19))))))=$true))),inference(extcnf_not_pos,[status(thm)],[99])). 0.52/0.74 thf(112,plain,(![SV8:$i]: (((p@SV8)=$false) | ((![SY24:$i]: ((~ ((rel_s5@SV8)@SY24)) | (q@SY24)))=$true) | (((rel_s5@sK2_SY4)@SV8)=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true))),inference(extcnf_not_pos,[status(thm)],[100])). 0.52/0.74 thf(113,plain,((((~ ((rel_s5@sK5_SY19)@sK9_SY23)) | (~ (p@sK9_SY23)))=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true)),inference(extcnf_forall_neg,[status(esa)],[101])). 0.52/0.74 thf(114,plain,(![SV10:$i]: (((~ (p@SV10))=$true) | ((![SY26:$i]: ((~ ((rel_s5@SV10)@SY26)) | (q@SY26)))=$true) | (((rel_s5@sK2_SY4)@SV10)=$false) | ((p@sK3_SY15)=$true))),inference(extcnf_or_pos,[status(thm)],[102])). 0.52/0.74 thf(115,plain,(((![SY25:$i]: ((~ ((rel_s5@sK6_SY19)@SY25)) | (~ (p@SY25))))=$false) | ((p@sK3_SY15)=$true)),inference(extcnf_not_pos,[status(thm)],[103])). 0.52/0.74 thf(116,plain,(![SV12:$i]: (((~ ((rel_s5@sK2_SY4)@SV12))=$true) | (((~ (p@SV12)) | (![SY30:$i]: ((~ ((rel_s5@SV12)@SY30)) | (q@SY30))))=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_or_pos,[status(thm)],[104])). 0.52/0.74 thf(117,plain,((((rel_s5@sK2_SY4)@sK8_SY19)=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_not_neg,[status(thm)],[105])). 0.52/0.74 thf(118,plain,(((~ (~ (![SY28:$i]: ((~ ((rel_s5@sK8_SY19)@SY28)) | (~ (p@SY28))))))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_or_neg,[status(thm)],[106])). 0.52/0.74 thf(119,plain,(((q@sK8_SY19)=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_or_neg,[status(thm)],[106])). 0.52/0.74 thf(120,plain,(![SV11:$i]: ((((rel_s5@sK2_SY4)@SV11)=$false) | (((~ (p@SV11)) | (![SY29:$i]: ((~ ((rel_s5@SV11)@SY29)) | (q@SY29))))=$true) | ((q@sK4_SY21)=$false))),inference(extcnf_not_pos,[status(thm)],[107])). 0.52/0.74 thf(121,plain,(((~ (![SY27:$i]: ((~ ((rel_s5@sK7_SY19)@SY27)) | (~ (p@SY27)))))=$true) | ((q@sK4_SY21)=$false)),inference(extcnf_not_neg,[status(thm)],[109])). 0.52/0.74 thf(122,plain,(![SV9:$i,SV7:$i]: ((((~ (![SY17:$i]: ((~ ((rel_s5@sK2_SY4)@SY17)) | ((~ (p@SY17)) | (![SX3:$i]: ((~ ((rel_s5@SY17)@SX3)) | (q@SX3))))))) | (![SY19:$i]: ((~ ((rel_s5@sK2_SY4)@SY19)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SY19)@SX3)) | (~ (p@SX3)))))) | (q@SY19)))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_pos,[status(thm)],[111])). 0.52/0.74 thf(123,plain,(![SV13:$i,SV8:$i]: ((((~ ((rel_s5@SV8)@SV13)) | (q@SV13))=$true) | ((p@SV8)=$false) | (((rel_s5@sK2_SY4)@SV8)=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true))),inference(extcnf_forall_pos,[status(thm)],[112])). 0.52/0.74 thf(124,plain,(((~ ((rel_s5@sK5_SY19)@sK9_SY23))=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true)),inference(extcnf_or_neg,[status(thm)],[113])). 0.52/0.74 thf(125,plain,(((~ (p@sK9_SY23))=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true)),inference(extcnf_or_neg,[status(thm)],[113])). 0.52/0.74 thf(126,plain,(![SV10:$i]: (((p@SV10)=$false) | ((![SY26:$i]: ((~ ((rel_s5@SV10)@SY26)) | (q@SY26)))=$true) | (((rel_s5@sK2_SY4)@SV10)=$false) | ((p@sK3_SY15)=$true))),inference(extcnf_not_pos,[status(thm)],[114])). 0.52/0.74 thf(127,plain,((((~ ((rel_s5@sK6_SY19)@sK10_SY25)) | (~ (p@sK10_SY25)))=$false) | ((p@sK3_SY15)=$true)),inference(extcnf_forall_neg,[status(esa)],[115])). 0.52/0.74 thf(128,plain,(![SV12:$i]: ((((rel_s5@sK2_SY4)@SV12)=$false) | (((~ (p@SV12)) | (![SY30:$i]: ((~ ((rel_s5@SV12)@SY30)) | (q@SY30))))=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_not_pos,[status(thm)],[116])). 0.52/0.74 thf(129,plain,(((~ (![SY28:$i]: ((~ ((rel_s5@sK8_SY19)@SY28)) | (~ (p@SY28)))))=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_not_neg,[status(thm)],[118])). 0.52/0.74 thf(130,plain,(![SV11:$i]: (((~ (p@SV11))=$true) | ((![SY29:$i]: ((~ ((rel_s5@SV11)@SY29)) | (q@SY29)))=$true) | (((rel_s5@sK2_SY4)@SV11)=$false) | ((q@sK4_SY21)=$false))),inference(extcnf_or_pos,[status(thm)],[120])). 0.52/0.74 thf(131,plain,(((![SY27:$i]: ((~ ((rel_s5@sK7_SY19)@SY27)) | (~ (p@SY27))))=$false) | ((q@sK4_SY21)=$false)),inference(extcnf_not_pos,[status(thm)],[121])). 0.52/0.74 thf(132,plain,(![SV9:$i,SV7:$i]: (((~ (![SY17:$i]: ((~ ((rel_s5@sK2_SY4)@SY17)) | ((~ (p@SY17)) | (![SX3:$i]: ((~ ((rel_s5@SY17)@SX3)) | (q@SX3)))))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[122])). 0.52/0.74 thf(133,plain,(![SV9:$i,SV7:$i]: (((![SY19:$i]: ((~ ((rel_s5@sK2_SY4)@SY19)) | ((~ (~ (![SX3:$i]: ((~ ((rel_s5@SY19)@SX3)) | (~ (p@SX3)))))) | (q@SY19))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[122])). 0.52/0.74 thf(134,plain,(![SV13:$i,SV8:$i]: (((~ ((rel_s5@SV8)@SV13))=$true) | ((q@SV13)=$true) | ((p@SV8)=$false) | (((rel_s5@sK2_SY4)@SV8)=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true))),inference(extcnf_or_pos,[status(thm)],[123])). 0.52/0.74 thf(135,plain,((((rel_s5@sK5_SY19)@sK9_SY23)=$true) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true)),inference(extcnf_not_neg,[status(thm)],[124])). 0.52/0.74 thf(136,plain,(((p@sK9_SY23)=$true) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true)),inference(extcnf_not_neg,[status(thm)],[125])). 0.52/0.74 thf(137,plain,(![SV14:$i,SV10:$i]: ((((~ ((rel_s5@SV10)@SV14)) | (q@SV14))=$true) | ((p@SV10)=$false) | (((rel_s5@sK2_SY4)@SV10)=$false) | ((p@sK3_SY15)=$true))),inference(extcnf_forall_pos,[status(thm)],[126])). 0.52/0.74 thf(138,plain,(((~ ((rel_s5@sK6_SY19)@sK10_SY25))=$false) | ((p@sK3_SY15)=$true)),inference(extcnf_or_neg,[status(thm)],[127])). 0.52/0.74 thf(139,plain,(((~ (p@sK10_SY25))=$false) | ((p@sK3_SY15)=$true)),inference(extcnf_or_neg,[status(thm)],[127])). 0.52/0.74 thf(140,plain,(![SV12:$i]: (((~ (p@SV12))=$true) | ((![SY30:$i]: ((~ ((rel_s5@SV12)@SY30)) | (q@SY30)))=$true) | (((rel_s5@sK2_SY4)@SV12)=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_or_pos,[status(thm)],[128])). 0.52/0.74 thf(141,plain,(((![SY28:$i]: ((~ ((rel_s5@sK8_SY19)@SY28)) | (~ (p@SY28))))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_not_pos,[status(thm)],[129])). 0.52/0.74 thf(142,plain,(![SV11:$i]: (((p@SV11)=$false) | ((![SY29:$i]: ((~ ((rel_s5@SV11)@SY29)) | (q@SY29)))=$true) | (((rel_s5@sK2_SY4)@SV11)=$false) | ((q@sK4_SY21)=$false))),inference(extcnf_not_pos,[status(thm)],[130])). 0.52/0.74 thf(143,plain,((((~ ((rel_s5@sK7_SY19)@sK11_SY27)) | (~ (p@sK11_SY27)))=$false) | ((q@sK4_SY21)=$false)),inference(extcnf_forall_neg,[status(esa)],[131])). 0.52/0.74 thf(144,plain,(![SV9:$i,SV7:$i]: (((![SY17:$i]: ((~ ((rel_s5@sK2_SY4)@SY17)) | ((~ (p@SY17)) | (![SX3:$i]: ((~ ((rel_s5@SY17)@SX3)) | (q@SX3))))))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_neg,[status(thm)],[132])). 0.52/0.74 thf(145,plain,(![SV7:$i,SV9:$i]: ((((~ ((rel_s5@sK2_SY4)@((sK12_SY19@SV9)@SV7))) | ((~ (~ (![SY31:$i]: ((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@SY31)) | (~ (p@SY31)))))) | (q@((sK12_SY19@SV9)@SV7))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_forall_neg,[status(esa)],[133])). 0.52/0.74 thf(146,plain,(![SV13:$i,SV8:$i]: ((((rel_s5@SV8)@SV13)=$false) | ((q@SV13)=$true) | ((p@SV8)=$false) | (((rel_s5@sK2_SY4)@SV8)=$false) | (((rel_s5@sK2_SY4)@sK3_SY15)=$true))),inference(extcnf_not_pos,[status(thm)],[134])). 0.52/0.74 thf(147,plain,(![SV14:$i,SV10:$i]: (((~ ((rel_s5@SV10)@SV14))=$true) | ((q@SV14)=$true) | ((p@SV10)=$false) | (((rel_s5@sK2_SY4)@SV10)=$false) | ((p@sK3_SY15)=$true))),inference(extcnf_or_pos,[status(thm)],[137])). 0.52/0.74 thf(148,plain,((((rel_s5@sK6_SY19)@sK10_SY25)=$true) | ((p@sK3_SY15)=$true)),inference(extcnf_not_neg,[status(thm)],[138])). 0.52/0.74 thf(149,plain,(((p@sK10_SY25)=$true) | ((p@sK3_SY15)=$true)),inference(extcnf_not_neg,[status(thm)],[139])). 0.52/0.74 thf(150,plain,(![SV12:$i]: (((p@SV12)=$false) | ((![SY30:$i]: ((~ ((rel_s5@SV12)@SY30)) | (q@SY30)))=$true) | (((rel_s5@sK2_SY4)@SV12)=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_not_pos,[status(thm)],[140])). 0.52/0.74 thf(151,plain,((((~ ((rel_s5@sK8_SY19)@sK13_SY28)) | (~ (p@sK13_SY28)))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_forall_neg,[status(esa)],[141])). 0.52/0.74 thf(152,plain,(![SV15:$i,SV11:$i]: ((((~ ((rel_s5@SV11)@SV15)) | (q@SV15))=$true) | ((p@SV11)=$false) | (((rel_s5@sK2_SY4)@SV11)=$false) | ((q@sK4_SY21)=$false))),inference(extcnf_forall_pos,[status(thm)],[142])). 0.52/0.74 thf(153,plain,(((~ ((rel_s5@sK7_SY19)@sK11_SY27))=$false) | ((q@sK4_SY21)=$false)),inference(extcnf_or_neg,[status(thm)],[143])). 0.52/0.74 thf(154,plain,(((~ (p@sK11_SY27))=$false) | ((q@sK4_SY21)=$false)),inference(extcnf_or_neg,[status(thm)],[143])). 0.52/0.74 thf(155,plain,(![SV9:$i,SV7:$i,SV16:$i]: ((((~ ((rel_s5@sK2_SY4)@SV16)) | ((~ (p@SV16)) | (![SY32:$i]: ((~ ((rel_s5@SV16)@SY32)) | (q@SY32)))))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_forall_pos,[status(thm)],[144])). 0.52/0.74 thf(156,plain,(![SV7:$i,SV9:$i]: (((~ ((rel_s5@sK2_SY4)@((sK12_SY19@SV9)@SV7)))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[145])). 0.52/0.74 thf(157,plain,(![SV7:$i,SV9:$i]: ((((~ (~ (![SY31:$i]: ((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@SY31)) | (~ (p@SY31)))))) | (q@((sK12_SY19@SV9)@SV7)))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[145])). 0.52/0.74 thf(158,plain,(![SV14:$i,SV10:$i]: ((((rel_s5@SV10)@SV14)=$false) | ((q@SV14)=$true) | ((p@SV10)=$false) | (((rel_s5@sK2_SY4)@SV10)=$false) | ((p@sK3_SY15)=$true))),inference(extcnf_not_pos,[status(thm)],[147])). 0.52/0.74 thf(159,plain,(![SV17:$i,SV12:$i]: ((((~ ((rel_s5@SV12)@SV17)) | (q@SV17))=$true) | ((p@SV12)=$false) | (((rel_s5@sK2_SY4)@SV12)=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_forall_pos,[status(thm)],[150])). 0.52/0.74 thf(160,plain,(((~ ((rel_s5@sK8_SY19)@sK13_SY28))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_or_neg,[status(thm)],[151])). 0.52/0.74 thf(161,plain,(((~ (p@sK13_SY28))=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_or_neg,[status(thm)],[151])). 0.52/0.74 thf(162,plain,(![SV15:$i,SV11:$i]: (((~ ((rel_s5@SV11)@SV15))=$true) | ((q@SV15)=$true) | ((p@SV11)=$false) | (((rel_s5@sK2_SY4)@SV11)=$false) | ((q@sK4_SY21)=$false))),inference(extcnf_or_pos,[status(thm)],[152])). 0.52/0.74 thf(163,plain,((((rel_s5@sK7_SY19)@sK11_SY27)=$true) | ((q@sK4_SY21)=$false)),inference(extcnf_not_neg,[status(thm)],[153])). 0.52/0.74 thf(164,plain,(((p@sK11_SY27)=$true) | ((q@sK4_SY21)=$false)),inference(extcnf_not_neg,[status(thm)],[154])). 0.52/0.74 thf(165,plain,(![SV9:$i,SV7:$i,SV16:$i]: (((~ ((rel_s5@sK2_SY4)@SV16))=$true) | (((~ (p@SV16)) | (![SY32:$i]: ((~ ((rel_s5@SV16)@SY32)) | (q@SY32))))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_pos,[status(thm)],[155])). 0.52/0.74 thf(166,plain,(![SV7:$i,SV9:$i]: ((((rel_s5@sK2_SY4)@((sK12_SY19@SV9)@SV7))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_neg,[status(thm)],[156])). 0.52/0.74 thf(167,plain,(![SV7:$i,SV9:$i]: (((~ (~ (![SY31:$i]: ((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@SY31)) | (~ (p@SY31))))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[157])). 0.52/0.74 thf(168,plain,(![SV7:$i,SV9:$i]: (((q@((sK12_SY19@SV9)@SV7))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[157])). 0.52/0.74 thf(169,plain,(![SV17:$i,SV12:$i]: (((~ ((rel_s5@SV12)@SV17))=$true) | ((q@SV17)=$true) | ((p@SV12)=$false) | (((rel_s5@sK2_SY4)@SV12)=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_or_pos,[status(thm)],[159])). 0.52/0.74 thf(170,plain,((((rel_s5@sK8_SY19)@sK13_SY28)=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_not_neg,[status(thm)],[160])). 0.52/0.74 thf(171,plain,(((p@sK13_SY28)=$true) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true)),inference(extcnf_not_neg,[status(thm)],[161])). 0.52/0.74 thf(172,plain,(![SV15:$i,SV11:$i]: ((((rel_s5@SV11)@SV15)=$false) | ((q@SV15)=$true) | ((p@SV11)=$false) | (((rel_s5@sK2_SY4)@SV11)=$false) | ((q@sK4_SY21)=$false))),inference(extcnf_not_pos,[status(thm)],[162])). 0.52/0.74 thf(173,plain,(![SV9:$i,SV7:$i,SV16:$i]: ((((rel_s5@sK2_SY4)@SV16)=$false) | (((~ (p@SV16)) | (![SY32:$i]: ((~ ((rel_s5@SV16)@SY32)) | (q@SY32))))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_pos,[status(thm)],[165])). 0.52/0.74 thf(174,plain,(![SV7:$i,SV9:$i]: (((~ (![SY31:$i]: ((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@SY31)) | (~ (p@SY31)))))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_neg,[status(thm)],[167])). 0.52/0.74 thf(175,plain,(![SV17:$i,SV12:$i]: ((((rel_s5@SV12)@SV17)=$false) | ((q@SV17)=$true) | ((p@SV12)=$false) | (((rel_s5@sK2_SY4)@SV12)=$false) | (((rel_s5@sK3_SY15)@sK4_SY21)=$true))),inference(extcnf_not_pos,[status(thm)],[169])). 0.52/0.74 thf(176,plain,(![SV9:$i,SV7:$i,SV16:$i]: (((~ (p@SV16))=$true) | ((![SY32:$i]: ((~ ((rel_s5@SV16)@SY32)) | (q@SY32)))=$true) | (((rel_s5@sK2_SY4)@SV16)=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_pos,[status(thm)],[173])). 0.52/0.74 thf(177,plain,(![SV7:$i,SV9:$i]: (((![SY31:$i]: ((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@SY31)) | (~ (p@SY31))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_pos,[status(thm)],[174])). 0.52/0.74 thf(178,plain,(![SV9:$i,SV7:$i,SV16:$i]: (((p@SV16)=$false) | ((![SY32:$i]: ((~ ((rel_s5@SV16)@SY32)) | (q@SY32)))=$true) | (((rel_s5@sK2_SY4)@SV16)=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_pos,[status(thm)],[176])). 0.52/0.74 thf(179,plain,(![SV7:$i,SV9:$i]: ((((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@((sK14_SY31@SV7)@SV9))) | (~ (p@((sK14_SY31@SV7)@SV9))))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_forall_neg,[status(esa)],[177])). 0.52/0.74 thf(180,plain,(![SV9:$i,SV7:$i,SV18:$i,SV16:$i]: ((((~ ((rel_s5@SV16)@SV18)) | (q@SV18))=$true) | ((p@SV16)=$false) | (((rel_s5@sK2_SY4)@SV16)=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_forall_pos,[status(thm)],[178])). 0.52/0.74 thf(181,plain,(![SV7:$i,SV9:$i]: (((~ ((rel_s5@((sK12_SY19@SV9)@SV7))@((sK14_SY31@SV7)@SV9)))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[179])). 0.52/0.74 thf(182,plain,(![SV9:$i,SV7:$i]: (((~ (p@((sK14_SY31@SV7)@SV9)))=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_neg,[status(thm)],[179])). 0.52/0.74 thf(183,plain,(![SV9:$i,SV7:$i,SV18:$i,SV16:$i]: (((~ ((rel_s5@SV16)@SV18))=$true) | ((q@SV18)=$true) | ((p@SV16)=$false) | (((rel_s5@sK2_SY4)@SV16)=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_or_pos,[status(thm)],[180])). 0.52/0.74 thf(184,plain,(![SV7:$i,SV9:$i]: ((((rel_s5@((sK12_SY19@SV9)@SV7))@((sK14_SY31@SV7)@SV9))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_neg,[status(thm)],[181])). 0.52/0.74 thf(185,plain,(![SV9:$i,SV7:$i]: (((p@((sK14_SY31@SV7)@SV9))=$true) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_neg,[status(thm)],[182])). 0.52/0.74 thf(186,plain,(![SV9:$i,SV7:$i,SV18:$i,SV16:$i]: ((((rel_s5@SV16)@SV18)=$false) | ((q@SV18)=$true) | ((p@SV16)=$false) | (((rel_s5@sK2_SY4)@SV16)=$false) | (((rel_s5@sK2_SY4)@SV7)=$false) | ((q@SV7)=$true) | (((rel_s5@SV7)@SV9)=$false) | ((p@SV9)=$false))),inference(extcnf_not_pos,[status(thm)],[183])). 0.52/0.74 thf(187,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[15,186,185,184,175,172,171,170,168,166,164,163,158,149,148,146,136,135,119,117,110,108,93,91,79,77,39,30,25])). 0.52/0.74 thf(188,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[187])). 0.52/0.74 % SZS output end CNFRefutation 0.52/0.74 0.52/0.74 %**** End of derivation protocol **** 0.52/0.74 %**** no. of clauses in derivation: 188 **** 0.52/0.74 %**** clause counter: 187 **** 0.52/0.74 0.52/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:187,loop_count:0,foatp_calls:1,translation:fof_full) 0.52/0.74 EOF