TSTP Solution File: ITP005+4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP005+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:29:00 EDT 2024
% Result : Theorem 47.26s 9.26s
% Output : CNFRefutation 47.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 41 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 71 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1314,axiom,
! [X0,X1,X10,X12] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10),X12))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Epair_2ECURRY_2E1_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c) ).
fof(f1315,axiom,
! [X0,X1,X10,X12] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),X12))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c) ).
fof(f1401,axiom,
! [X0,X1,X10,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),X2) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X10),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X10)),X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epair_2ECURRY__UNCURRY__THM) ).
fof(f4978,axiom,
! [X0,X1,X12] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X12))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Eset__relation_2Erel__to__reln_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(f4979,axiom,
! [X0,X1,X12] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X12))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Eset__relation_2Ereln__to__rel_2E1_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(f5132,axiom,
! [X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY) ).
fof(f5133,axiom,
! [X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eset__relation_2Ereln__to__rel__IS__CURRY) ).
fof(f5134,conjecture,
! [X0,X1,X152] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X152) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X152))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eset__relation_2Erel__to__reln__inv) ).
fof(f5135,negated_conjecture,
~ ! [X0,X1,X152] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X152) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X152))))),
inference(negated_conjecture,[],[f5134]) ).
fof(f6380,plain,
! [X0,X1,X2,X3] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))),
inference(rectify,[],[f1314]) ).
fof(f6381,plain,
! [X0,X1,X2,X3] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),
inference(rectify,[],[f1315]) ).
fof(f6467,plain,
! [X0,X1,X2,X3] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))))),
inference(rectify,[],[f1401]) ).
fof(f9927,plain,
! [X0,X1,X2] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
inference(rectify,[],[f4978]) ).
fof(f9928,plain,
! [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
inference(rectify,[],[f4979]) ).
fof(f10080,plain,
~ ! [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))))),
inference(rectify,[],[f5135]) ).
fof(f12140,plain,
? [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2) != s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))))),
inference(ennf_transformation,[],[f10080]) ).
fof(f17584,plain,
( ? [X0,X1,X2] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2) != s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2)))))
=> s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2374,sK2375),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376))))) ),
introduced(choice_axiom,[]) ).
fof(f17585,plain,
s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2374,sK2375),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2374,sK2375,sK2376])],[f12140,f17584]) ).
fof(f20439,plain,
! [X2,X3,X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))),
inference(cnf_transformation,[],[f6380]) ).
fof(f20440,plain,
! [X2,X3,X0,X1] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),
inference(cnf_transformation,[],[f6381]) ).
fof(f20552,plain,
! [X2,X3,X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))))),
inference(cnf_transformation,[],[f6467]) ).
fof(f26630,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
inference(cnf_transformation,[],[f9927]) ).
fof(f26631,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
inference(cnf_transformation,[],[f9928]) ).
fof(f26928,plain,
! [X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),
inference(cnf_transformation,[],[f5132]) ).
fof(f26929,plain,
! [X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),
inference(cnf_transformation,[],[f5133]) ).
fof(f26930,plain,
s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2374,sK2375),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376))))),
inference(cnf_transformation,[],[f17585]) ).
cnf(c_2516,plain,
s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),X3))),
inference(cnf_transformation,[],[f20439]) ).
cnf(c_2517,plain,
s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))),
inference(cnf_transformation,[],[f20440]) ).
cnf(c_2629,plain,
s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),X2),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3))))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),X3),
inference(cnf_transformation,[],[f20552]) ).
cnf(c_8704,plain,
s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
inference(cnf_transformation,[],[f26630]) ).
cnf(c_8705,plain,
s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
inference(cnf_transformation,[],[f26631]) ).
cnf(c_9002,plain,
s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Eset__relation_2Erel__to__reln_2E0),
inference(cnf_transformation,[],[f26928]) ).
cnf(c_9003,plain,
s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Eset__relation_2Ereln__to__rel_2E0),
inference(cnf_transformation,[],[f26929]) ).
cnf(c_9004,negated_conjecture,
s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2374,sK2375),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376))))) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376),
inference(cnf_transformation,[],[f26930]) ).
cnf(c_41341,plain,
s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
inference(light_normalisation,[status(thm)],[c_8705,c_9003]) ).
cnf(c_41342,plain,
s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
inference(light_normalisation,[status(thm)],[c_8704,c_9002]) ).
cnf(c_41676,plain,
s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),c_2Eset__relation_2Erel__to__reln_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2))),
inference(demodulation,[status(thm)],[c_41342,c_2517]) ).
cnf(c_41678,plain,
s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2374,sK2375),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376))))) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376),
inference(demodulation,[status(thm)],[c_9004,c_41676]) ).
cnf(c_41679,plain,
s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Eset__relation_2Ereln__to__rel_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X0,X1),tyop_2Emin_2Ebool),X2))),
inference(demodulation,[status(thm)],[c_41341,c_2516]) ).
cnf(c_41680,plain,
s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(sK2374,sK2375),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376))))) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376),
inference(demodulation,[status(thm)],[c_41678,c_41679]) ).
cnf(c_41681,plain,
s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376) != s(tyop_2Emin_2Efun(sK2374,tyop_2Emin_2Efun(sK2375,tyop_2Emin_2Ebool)),sK2376),
inference(demodulation,[status(thm)],[c_41680,c_2629]) ).
cnf(c_41682,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_41681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP005+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:53:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 47.26/9.26 % SZS status Started for theBenchmark.p
% 47.26/9.26 % SZS status Theorem for theBenchmark.p
% 47.26/9.26
% 47.26/9.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 47.26/9.26
% 47.26/9.26 ------ iProver source info
% 47.26/9.26
% 47.26/9.26 git: date: 2024-05-02 19:28:25 +0000
% 47.26/9.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 47.26/9.26 git: non_committed_changes: false
% 47.26/9.26
% 47.26/9.26 ------ Parsing...
% 47.26/9.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 47.26/9.26
% 47.26/9.26 ------ Preprocessing...
% 47.26/9.26
% 47.26/9.26 % SZS status Theorem for theBenchmark.p
% 47.26/9.26
% 47.26/9.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.26/9.26
% 47.26/9.26
%------------------------------------------------------------------------------