0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.12/0.33	% Computer : n020.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Tue Aug  9 03:04:50 EDT 2022
0.12/0.34	% CPUTime  : 
0.12/0.34	
0.12/0.34	 No.of.Axioms: 2
0.12/0.34	
0.12/0.34	 Length.of.Defs: 3431
0.12/0.34	
0.12/0.34	 Contains.Choice.Funs: false
0.12/0.35	(rf:0,axioms:2,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:4,loop_count:0,foatp_calls:0,translation:fof_full).....
0.12/0.40	
0.12/0.40	********************************
0.12/0.40	*   All subproblems solved!    *
0.12/0.40	********************************
0.12/0.40	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:70,loop_count:0,foatp_calls:1,translation:fof_full)
0.12/0.41	
0.12/0.41	%**** Beginning of derivation protocol ****
0.12/0.41	% SZS output start CNFRefutation
0.12/0.41	 thf(tp_individuals,type,(individuals: $tType)).
0.12/0.41	 thf(tp_a,type,(a: ($i>$o))).
0.12/0.41	 thf(tp_current_world,type,(current_world: $i)).
0.12/0.41	 thf(tp_icl_and,type,(icl_and: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_icl_atom,type,(icl_atom: (($i>$o)>($i>$o)))).
0.12/0.41	 thf(tp_icl_false,type,(icl_false: ($i>$o))).
0.12/0.41	 thf(tp_icl_impl,type,(icl_impl: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_icl_or,type,(icl_or: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_icl_princ,type,(icl_princ: (($i>$o)>($i>$o)))).
0.12/0.41	 thf(tp_icl_says,type,(icl_says: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_icl_true,type,(icl_true: ($i>$o))).
0.12/0.41	 thf(tp_iclval,type,(iclval: (($i>$o)>$o))).
0.12/0.41	 thf(tp_mall,type,(mall: ((individuals>($i>$o))>($i>$o)))).
0.12/0.41	 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_mbox,type,(mbox: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_mcountersatisfiable,type,(mcountersatisfiable: (($i>$o)>$o))).
0.12/0.41	 thf(tp_mdia,type,(mdia: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_mexists,type,(mexists: ((individuals>($i>$o))>($i>$o)))).
0.12/0.41	 thf(tp_mfalse,type,(mfalse: ($i>$o))).
0.12/0.41	 thf(tp_miff,type,(miff: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_mimpl,type,(mimpl: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))).
0.12/0.41	 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))).
0.12/0.41	 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))).
0.12/0.41	 thf(tp_msatisfiable,type,(msatisfiable: (($i>$o)>$o))).
0.12/0.41	 thf(tp_mtrue,type,(mtrue: ($i>$o))).
0.12/0.41	 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))).
0.12/0.41	 thf(tp_prop_a,type,(prop_a: ($i>$o))).
0.12/0.41	 thf(tp_prop_b,type,(prop_b: ($i>$o))).
0.12/0.41	 thf(tp_prop_c,type,(prop_c: ($i>$o))).
0.12/0.41	 thf(tp_rel,type,(rel: ($i>($i>$o)))).
0.12/0.41	 thf(tp_s,type,(s: ($i>$o))).
0.12/0.41	 thf(tp_sK1_SX0,type,(sK1_SX0: $i)).
0.12/0.41	 thf(tp_sK2_SY7,type,(sK2_SY7: $i)).
0.12/0.41	 thf(tp_sK3_SY6,type,(sK3_SY6: (($i>$o)>($i>$i)))).
0.12/0.41	 thf(tp_sK4_SY13,type,(sK4_SY13: (($i>$o)>($i>$i)))).
0.12/0.41	 thf(tp_sK5_SY19,type,(sK5_SY19: $i)).
0.12/0.41	 thf(tp_sK6_SY21,type,(sK6_SY21: $i)).
0.12/0.41	 thf(icl_and,definition,(icl_and = (^[A:($i>$o),B:($i>$o)]: ((mand@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_and)).
0.12/0.41	 thf(icl_atom,definition,(icl_atom = (^[P:($i>$o)]: ((mbox@rel)@P))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_atom)).
0.12/0.41	 thf(icl_false,definition,(icl_false = (mfalse)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_false)).
0.12/0.41	 thf(icl_impl,definition,(icl_impl = (^[A:($i>$o),B:($i>$o)]: ((mbox@rel)@((mimpl@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_impl)).
0.12/0.41	 thf(icl_or,definition,(icl_or = (^[A:($i>$o),B:($i>$o)]: ((mor@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_or)).
0.12/0.41	 thf(icl_princ,definition,(icl_princ = (^[P:($i>$o)]: P)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_princ)).
0.12/0.41	 thf(icl_says,definition,(icl_says = (^[A:($i>$o),S:($i>$o)]: ((mbox@rel)@((mor@A)@S)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_says)).
0.12/0.41	 thf(icl_true,definition,(icl_true = (mtrue)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',icl_true)).
0.12/0.41	 thf(iclval,definition,(iclval = (^[X:($i>$o)]: (mvalid@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',iclval)).
0.12/0.41	 thf(mall,definition,(mall = (^[P:(individuals>($i>$o)),W:$i]: (![X:individuals]: ((P@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mall)).
0.12/0.41	 thf(mand,definition,(mand = (^[X:($i>$o),Y:($i>$o),U:$i]: ((X@U) & (Y@U)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
0.12/0.41	 thf(mbox,definition,(mbox = (^[R:($i>($i>$o)),P:($i>$o),X:$i]: (![Y:$i]: (((R@X)@Y) => (P@Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
0.12/0.41	 thf(mcountersatisfiable,definition,(mcountersatisfiable = (^[P:($i>$o)]: (?[W:$i]: (~ (P@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable)).
0.12/0.41	 thf(mdia,definition,(mdia = (^[R:($i>($i>$o)),P:($i>$o),X:$i]: (?[Y:$i]: (((R@X)@Y) & (P@Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
0.12/0.41	 thf(mexists,definition,(mexists = (^[P:(individuals>($i>$o)),W:$i]: (?[X:individuals]: ((P@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists)).
0.12/0.41	 thf(mfalse,definition,(mfalse = (^[X:$i]: $false)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse)).
0.12/0.41	 thf(miff,definition,(miff = (^[U:($i>$o),V:($i>$o)]: ((mand@((mimpl@U)@V))@((mimpl@V)@U)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',miff)).
0.12/0.41	 thf(mimpl,definition,(mimpl = (^[U:($i>$o),V:($i>$o)]: ((mor@(mnot@U))@V))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
0.12/0.41	 thf(minvalid,definition,(minvalid = (^[P:($i>$o)]: (![W:$i]: (~ (P@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid)).
0.12/0.41	 thf(mnot,definition,(mnot = (^[X:($i>$o),U:$i]: (~ (X@U)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
0.12/0.41	 thf(mor,definition,(mor = (^[X:($i>$o),Y:($i>$o),U:$i]: ((X@U) | (Y@U)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
0.12/0.41	 thf(msatisfiable,definition,(msatisfiable = (^[P:($i>$o)]: (?[W:$i]: (P@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable)).
0.12/0.41	 thf(mtrue,definition,(mtrue = (^[X:$i]: $true)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue)).
0.12/0.41	 thf(mvalid,definition,(mvalid = (^[P:($i>$o)]: (![W:$i]: (P@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
0.12/0.41	 thf(1,axiom,(![B:($i>$o)]: (mvalid@((mimpl@((mbox@rel)@B))@((mbox@rel)@((mbox@rel)@B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
0.12/0.41	 thf(2,axiom,(![A:($i>$o)]: (mvalid@((mimpl@((mbox@rel)@A))@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
0.12/0.41	 thf(3,conjecture,(iclval@((icl_impl@((icl_says@(icl_princ@a))@((icl_says@(icl_princ@a))@(icl_atom@s))))@((icl_says@(icl_princ@a))@(icl_atom@s)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',idem)).
0.12/0.41	 thf(4,negated_conjecture,(((iclval@((icl_impl@((icl_says@(icl_princ@a))@((icl_says@(icl_princ@a))@(icl_atom@s))))@((icl_says@(icl_princ@a))@(icl_atom@s))))=$false)),inference(negate_conjecture,[status(cth)],[3])).
0.12/0.41	 thf(5,plain,(((~ (iclval@((icl_impl@((icl_says@(icl_princ@a))@((icl_says@(icl_princ@a))@(icl_atom@s))))@((icl_says@(icl_princ@a))@(icl_atom@s)))))=$true)),inference(polarity_switch,[status(thm)],[4])).
0.12/0.41	 thf(6,plain,(((![A:($i>$o)]: (mvalid@((mimpl@((mbox@rel)@A))@A)))=$true)),inference(copy,[status(thm)],[2])).
0.12/0.41	 thf(7,plain,(((![B:($i>$o)]: (mvalid@((mimpl@((mbox@rel)@B))@((mbox@rel)@((mbox@rel)@B)))))=$true)),inference(copy,[status(thm)],[1])).
0.12/0.41	 thf(8,plain,(((~ (iclval@((icl_impl@((icl_says@(icl_princ@a))@((icl_says@(icl_princ@a))@(icl_atom@s))))@((icl_says@(icl_princ@a))@(icl_atom@s)))))=$true)),inference(copy,[status(thm)],[5])).
0.12/0.41	 thf(9,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | (SX0@SX2)))) | (SX0@SX1)))=$true)),inference(unfold_def,[status(thm)],[6,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.12/0.41	 thf(10,plain,(((~ (![SX0:$i,SX1:$i]: ((~ ((rel@SX0)@SX1)) | ((~ (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | ((a@SX2) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4)))))))))) | (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | ((a@SX2) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | (s@SX3))))))))))=$true)),inference(unfold_def,[status(thm)],[8,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.12/0.41	 thf(11,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | (SX0@SX2)))) | (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | (SX0@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[7,icl_and,icl_atom,icl_false,icl_impl,icl_or,icl_princ,icl_says,icl_true,iclval,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.12/0.41	 thf(12,plain,(![SV1:($i>$o)]: (((![SY0:$i]: ((~ (![SY1:$i]: ((~ ((rel@SY0)@SY1)) | (SV1@SY1)))) | (SV1@SY0)))=$true))),inference(extcnf_forall_pos,[status(thm)],[9])).
0.12/0.41	 thf(13,plain,(((![SX0:$i,SX1:$i]: ((~ ((rel@SX0)@SX1)) | ((~ (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | ((a@SX2) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4)))))))))) | (![SX2:$i]: ((~ ((rel@SX1)@SX2)) | ((a@SX2) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | (s@SX3)))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[10])).
0.12/0.41	 thf(14,plain,(![SV2:($i>$o)]: (((![SY2:$i]: ((~ (![SY3:$i]: ((~ ((rel@SY2)@SY3)) | (SV2@SY3)))) | (![SY4:$i]: ((~ ((rel@SY2)@SY4)) | (![SY5:$i]: ((~ ((rel@SY4)@SY5)) | (SV2@SY5)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[11])).
0.12/0.41	 thf(15,plain,(![SV1:($i>$o),SV3:$i]: ((((~ (![SY6:$i]: ((~ ((rel@SV3)@SY6)) | (SV1@SY6)))) | (SV1@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[12])).
0.12/0.41	 thf(16,plain,(((![SY7:$i]: ((~ ((rel@sK1_SX0)@SY7)) | ((~ (![SX2:$i]: ((~ ((rel@SY7)@SX2)) | ((a@SX2) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4)))))))))) | (![SX2:$i]: ((~ ((rel@SY7)@SX2)) | ((a@SX2) | (![SX3:$i]: ((~ ((rel@SX2)@SX3)) | (s@SX3)))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[13])).
0.12/0.41	 thf(17,plain,(![SV2:($i>$o),SV4:$i]: ((((~ (![SY13:$i]: ((~ ((rel@SV4)@SY13)) | (SV2@SY13)))) | (![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[14])).
0.12/0.41	 thf(18,plain,(![SV1:($i>$o),SV3:$i]: (((~ (![SY6:$i]: ((~ ((rel@SV3)@SY6)) | (SV1@SY6))))=$true) | ((SV1@SV3)=$true))),inference(extcnf_or_pos,[status(thm)],[15])).
0.12/0.41	 thf(19,plain,((((~ ((rel@sK1_SX0)@sK2_SY7)) | ((~ (![SY16:$i]: ((~ ((rel@sK2_SY7)@SY16)) | ((a@SY16) | (![SX3:$i]: ((~ ((rel@SY16)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4)))))))))) | (![SY19:$i]: ((~ ((rel@sK2_SY7)@SY19)) | ((a@SY19) | (![SX3:$i]: ((~ ((rel@SY19)@SX3)) | (s@SX3))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[16])).
0.12/0.41	 thf(20,plain,(![SV2:($i>$o),SV4:$i]: (((~ (![SY13:$i]: ((~ ((rel@SV4)@SY13)) | (SV2@SY13))))=$true) | ((![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5)))))=$true))),inference(extcnf_or_pos,[status(thm)],[17])).
0.12/0.41	 thf(21,plain,(![SV1:($i>$o),SV3:$i]: (((![SY6:$i]: ((~ ((rel@SV3)@SY6)) | (SV1@SY6)))=$false) | ((SV1@SV3)=$true))),inference(extcnf_not_pos,[status(thm)],[18])).
0.12/0.41	 thf(22,plain,(((~ ((rel@sK1_SX0)@sK2_SY7))=$false)),inference(extcnf_or_neg,[status(thm)],[19])).
0.12/0.41	 thf(23,plain,((((~ (![SY16:$i]: ((~ ((rel@sK2_SY7)@SY16)) | ((a@SY16) | (![SX3:$i]: ((~ ((rel@SY16)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4)))))))))) | (![SY19:$i]: ((~ ((rel@sK2_SY7)@SY19)) | ((a@SY19) | (![SX3:$i]: ((~ ((rel@SY19)@SX3)) | (s@SX3)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[19])).
0.12/0.41	 thf(24,plain,(![SV2:($i>$o),SV4:$i]: (((![SY13:$i]: ((~ ((rel@SV4)@SY13)) | (SV2@SY13)))=$false) | ((![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5)))))=$true))),inference(extcnf_not_pos,[status(thm)],[20])).
0.12/0.41	 thf(25,plain,(![SV1:($i>$o),SV3:$i]: ((((~ ((rel@SV3)@((sK3_SY6@SV1)@SV3))) | (SV1@((sK3_SY6@SV1)@SV3)))=$false) | ((SV1@SV3)=$true))),inference(extcnf_forall_neg,[status(esa)],[21])).
0.12/0.41	 thf(26,plain,((((rel@sK1_SX0)@sK2_SY7)=$true)),inference(extcnf_not_neg,[status(thm)],[22])).
0.12/0.41	 thf(27,plain,(((~ (![SY16:$i]: ((~ ((rel@sK2_SY7)@SY16)) | ((a@SY16) | (![SX3:$i]: ((~ ((rel@SY16)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[23])).
0.12/0.41	 thf(28,plain,(((![SY19:$i]: ((~ ((rel@sK2_SY7)@SY19)) | ((a@SY19) | (![SX3:$i]: ((~ ((rel@SY19)@SX3)) | (s@SX3))))))=$false)),inference(extcnf_or_neg,[status(thm)],[23])).
0.12/0.41	 thf(29,plain,(![SV2:($i>$o),SV4:$i]: ((((~ ((rel@SV4)@((sK4_SY13@SV2)@SV4))) | (SV2@((sK4_SY13@SV2)@SV4)))=$false) | ((![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[24])).
0.12/0.41	 thf(30,plain,(![SV1:($i>$o),SV3:$i]: (((~ ((rel@SV3)@((sK3_SY6@SV1)@SV3)))=$false) | ((SV1@SV3)=$true))),inference(extcnf_or_neg,[status(thm)],[25])).
0.12/0.41	 thf(31,plain,(![SV3:$i,SV1:($i>$o)]: (((SV1@((sK3_SY6@SV1)@SV3))=$false) | ((SV1@SV3)=$true))),inference(extcnf_or_neg,[status(thm)],[25])).
0.12/0.41	 thf(32,plain,(((![SY16:$i]: ((~ ((rel@sK2_SY7)@SY16)) | ((a@SY16) | (![SX3:$i]: ((~ ((rel@SY16)@SX3)) | ((a@SX3) | (![SX4:$i]: ((~ ((rel@SX3)@SX4)) | (s@SX4)))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[27])).
0.12/0.41	 thf(33,plain,((((~ ((rel@sK2_SY7)@sK5_SY19)) | ((a@sK5_SY19) | (![SY21:$i]: ((~ ((rel@sK5_SY19)@SY21)) | (s@SY21)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[28])).
0.12/0.41	 thf(34,plain,(![SV2:($i>$o),SV4:$i]: (((~ ((rel@SV4)@((sK4_SY13@SV2)@SV4)))=$false) | ((![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5)))))=$true))),inference(extcnf_or_neg,[status(thm)],[29])).
0.12/0.41	 thf(35,plain,(![SV4:$i,SV2:($i>$o)]: (((SV2@((sK4_SY13@SV2)@SV4))=$false) | ((![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5)))))=$true))),inference(extcnf_or_neg,[status(thm)],[29])).
0.12/0.41	 thf(36,plain,(![SV1:($i>$o),SV3:$i]: ((((rel@SV3)@((sK3_SY6@SV1)@SV3))=$true) | ((SV1@SV3)=$true))),inference(extcnf_not_neg,[status(thm)],[30])).
0.12/0.41	 thf(37,plain,(![SV5:$i]: ((((~ ((rel@sK2_SY7)@SV5)) | ((a@SV5) | (![SY22:$i]: ((~ ((rel@SV5)@SY22)) | ((a@SY22) | (![SX4:$i]: ((~ ((rel@SY22)@SX4)) | (s@SX4))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[32])).
0.12/0.41	 thf(38,plain,(((~ ((rel@sK2_SY7)@sK5_SY19))=$false)),inference(extcnf_or_neg,[status(thm)],[33])).
0.12/0.41	 thf(39,plain,((((a@sK5_SY19) | (![SY21:$i]: ((~ ((rel@sK5_SY19)@SY21)) | (s@SY21))))=$false)),inference(extcnf_or_neg,[status(thm)],[33])).
0.12/0.41	 thf(40,plain,(![SV2:($i>$o),SV4:$i]: ((((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true) | ((![SY14:$i]: ((~ ((rel@SV4)@SY14)) | (![SY5:$i]: ((~ ((rel@SY14)@SY5)) | (SV2@SY5)))))=$true))),inference(extcnf_not_neg,[status(thm)],[34])).
0.12/0.41	 thf(41,plain,(![SV2:($i>$o),SV6:$i,SV4:$i]: ((((~ ((rel@SV4)@SV6)) | (![SY24:$i]: ((~ ((rel@SV6)@SY24)) | (SV2@SY24))))=$true) | ((SV2@((sK4_SY13@SV2)@SV4))=$false))),inference(extcnf_forall_pos,[status(thm)],[35])).
0.12/0.41	 thf(42,plain,(![SV5:$i]: (((~ ((rel@sK2_SY7)@SV5))=$true) | (((a@SV5) | (![SY22:$i]: ((~ ((rel@SV5)@SY22)) | ((a@SY22) | (![SX4:$i]: ((~ ((rel@SY22)@SX4)) | (s@SX4)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[37])).
0.12/0.41	 thf(43,plain,((((rel@sK2_SY7)@sK5_SY19)=$true)),inference(extcnf_not_neg,[status(thm)],[38])).
0.12/0.41	 thf(44,plain,(((a@sK5_SY19)=$false)),inference(extcnf_or_neg,[status(thm)],[39])).
0.12/0.41	 thf(45,plain,(((![SY21:$i]: ((~ ((rel@sK5_SY19)@SY21)) | (s@SY21)))=$false)),inference(extcnf_or_neg,[status(thm)],[39])).
0.12/0.41	 thf(46,plain,(![SV2:($i>$o),SV7:$i,SV4:$i]: ((((~ ((rel@SV4)@SV7)) | (![SY25:$i]: ((~ ((rel@SV7)@SY25)) | (SV2@SY25))))=$true) | (((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true))),inference(extcnf_forall_pos,[status(thm)],[40])).
0.12/0.41	 thf(47,plain,(![SV2:($i>$o),SV6:$i,SV4:$i]: (((~ ((rel@SV4)@SV6))=$true) | ((![SY24:$i]: ((~ ((rel@SV6)@SY24)) | (SV2@SY24)))=$true) | ((SV2@((sK4_SY13@SV2)@SV4))=$false))),inference(extcnf_or_pos,[status(thm)],[41])).
0.12/0.41	 thf(48,plain,(![SV5:$i]: ((((rel@sK2_SY7)@SV5)=$false) | (((a@SV5) | (![SY22:$i]: ((~ ((rel@SV5)@SY22)) | ((a@SY22) | (![SX4:$i]: ((~ ((rel@SY22)@SX4)) | (s@SX4)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[42])).
0.12/0.41	 thf(49,plain,((((~ ((rel@sK5_SY19)@sK6_SY21)) | (s@sK6_SY21))=$false)),inference(extcnf_forall_neg,[status(esa)],[45])).
0.12/0.41	 thf(50,plain,(![SV2:($i>$o),SV7:$i,SV4:$i]: (((~ ((rel@SV4)@SV7))=$true) | ((![SY25:$i]: ((~ ((rel@SV7)@SY25)) | (SV2@SY25)))=$true) | (((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true))),inference(extcnf_or_pos,[status(thm)],[46])).
0.12/0.41	 thf(51,plain,(![SV2:($i>$o),SV6:$i,SV4:$i]: ((((rel@SV4)@SV6)=$false) | ((![SY24:$i]: ((~ ((rel@SV6)@SY24)) | (SV2@SY24)))=$true) | ((SV2@((sK4_SY13@SV2)@SV4))=$false))),inference(extcnf_not_pos,[status(thm)],[47])).
0.12/0.41	 thf(52,plain,(![SV5:$i]: (((a@SV5)=$true) | ((![SY22:$i]: ((~ ((rel@SV5)@SY22)) | ((a@SY22) | (![SX4:$i]: ((~ ((rel@SY22)@SX4)) | (s@SX4))))))=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_or_pos,[status(thm)],[48])).
0.12/0.41	 thf(53,plain,(((~ ((rel@sK5_SY19)@sK6_SY21))=$false)),inference(extcnf_or_neg,[status(thm)],[49])).
0.12/0.41	 thf(54,plain,(((s@sK6_SY21)=$false)),inference(extcnf_or_neg,[status(thm)],[49])).
0.12/0.41	 thf(55,plain,(![SV2:($i>$o),SV7:$i,SV4:$i]: ((((rel@SV4)@SV7)=$false) | ((![SY25:$i]: ((~ ((rel@SV7)@SY25)) | (SV2@SY25)))=$true) | (((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true))),inference(extcnf_not_pos,[status(thm)],[50])).
0.12/0.41	 thf(56,plain,(![SV4:$i,SV2:($i>$o),SV8:$i,SV6:$i]: ((((~ ((rel@SV6)@SV8)) | (SV2@SV8))=$true) | (((rel@SV4)@SV6)=$false) | ((SV2@((sK4_SY13@SV2)@SV4))=$false))),inference(extcnf_forall_pos,[status(thm)],[51])).
0.12/0.41	 thf(57,plain,(![SV9:$i,SV5:$i]: ((((~ ((rel@SV5)@SV9)) | ((a@SV9) | (![SY26:$i]: ((~ ((rel@SV9)@SY26)) | (s@SY26)))))=$true) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_forall_pos,[status(thm)],[52])).
0.12/0.41	 thf(58,plain,((((rel@sK5_SY19)@sK6_SY21)=$true)),inference(extcnf_not_neg,[status(thm)],[53])).
0.12/0.41	 thf(59,plain,(![SV4:$i,SV2:($i>$o),SV10:$i,SV7:$i]: ((((~ ((rel@SV7)@SV10)) | (SV2@SV10))=$true) | (((rel@SV4)@SV7)=$false) | (((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true))),inference(extcnf_forall_pos,[status(thm)],[55])).
0.12/0.41	 thf(60,plain,(![SV4:$i,SV2:($i>$o),SV8:$i,SV6:$i]: (((~ ((rel@SV6)@SV8))=$true) | ((SV2@SV8)=$true) | (((rel@SV4)@SV6)=$false) | ((SV2@((sK4_SY13@SV2)@SV4))=$false))),inference(extcnf_or_pos,[status(thm)],[56])).
0.12/0.41	 thf(61,plain,(![SV9:$i,SV5:$i]: (((~ ((rel@SV5)@SV9))=$true) | (((a@SV9) | (![SY26:$i]: ((~ ((rel@SV9)@SY26)) | (s@SY26))))=$true) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_or_pos,[status(thm)],[57])).
0.12/0.41	 thf(62,plain,(![SV4:$i,SV2:($i>$o),SV10:$i,SV7:$i]: (((~ ((rel@SV7)@SV10))=$true) | ((SV2@SV10)=$true) | (((rel@SV4)@SV7)=$false) | (((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true))),inference(extcnf_or_pos,[status(thm)],[59])).
0.12/0.41	 thf(63,plain,(![SV4:$i,SV2:($i>$o),SV8:$i,SV6:$i]: ((((rel@SV6)@SV8)=$false) | ((SV2@SV8)=$true) | (((rel@SV4)@SV6)=$false) | ((SV2@((sK4_SY13@SV2)@SV4))=$false))),inference(extcnf_not_pos,[status(thm)],[60])).
0.12/0.41	 thf(64,plain,(![SV9:$i,SV5:$i]: ((((rel@SV5)@SV9)=$false) | (((a@SV9) | (![SY26:$i]: ((~ ((rel@SV9)@SY26)) | (s@SY26))))=$true) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_not_pos,[status(thm)],[61])).
0.12/0.41	 thf(65,plain,(![SV4:$i,SV2:($i>$o),SV10:$i,SV7:$i]: ((((rel@SV7)@SV10)=$false) | ((SV2@SV10)=$true) | (((rel@SV4)@SV7)=$false) | (((rel@SV4)@((sK4_SY13@SV2)@SV4))=$true))),inference(extcnf_not_pos,[status(thm)],[62])).
0.12/0.41	 thf(66,plain,(![SV5:$i,SV9:$i]: (((a@SV9)=$true) | ((![SY26:$i]: ((~ ((rel@SV9)@SY26)) | (s@SY26)))=$true) | (((rel@SV5)@SV9)=$false) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_or_pos,[status(thm)],[64])).
0.12/0.41	 thf(67,plain,(![SV5:$i,SV11:$i,SV9:$i]: ((((~ ((rel@SV9)@SV11)) | (s@SV11))=$true) | ((a@SV9)=$true) | (((rel@SV5)@SV9)=$false) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_forall_pos,[status(thm)],[66])).
0.12/0.41	 thf(68,plain,(![SV5:$i,SV11:$i,SV9:$i]: (((~ ((rel@SV9)@SV11))=$true) | ((s@SV11)=$true) | ((a@SV9)=$true) | (((rel@SV5)@SV9)=$false) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_or_pos,[status(thm)],[67])).
0.12/0.41	 thf(69,plain,(![SV5:$i,SV11:$i,SV9:$i]: ((((rel@SV9)@SV11)=$false) | ((s@SV11)=$true) | ((a@SV9)=$true) | (((rel@SV5)@SV9)=$false) | ((a@SV5)=$true) | (((rel@sK2_SY7)@SV5)=$false))),inference(extcnf_not_pos,[status(thm)],[68])).
0.12/0.41	 thf(70,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[26,69,65,63,58,54,44,43,36,31])).
0.12/0.41	 thf(71,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[70])).
0.12/0.41	% SZS output end CNFRefutation
0.12/0.41	
0.12/0.41	%**** End of derivation protocol ****
0.12/0.41	%**** no. of clauses in derivation: 71 ****
0.12/0.41	%**** clause counter: 70 ****
0.12/0.41	
0.12/0.41	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:70,loop_count:0,foatp_calls:1,translation:fof_full)
0.18/0.41	EOF