TSTP Solution File: ITP019+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:29:17 EDT 2024
% Result : Theorem 2.41s 1.17s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__inv,X13) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
fof(f33,conjecture,
! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13
=> ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(f34,negated_conjecture,
~ ! [X13] :
( mem(X13,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X13
=> ap(c_2Ecomplex_2Ecomplex__inv,X13) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f51,plain,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 ) ),
inference(rectify,[],[f32]) ).
fof(f52,plain,
~ ! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f71,plain,
! [X0] :
( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f72,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f73,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(flattening,[],[f72]) ).
fof(f93,plain,
! [X0] :
( ( ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0 )
& ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0) ) )
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f94,plain,
( ? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != X0
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) )
=> ( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK3)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK3
& mem(sK3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK3)
& ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK3
& mem(sK3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f73,f94]) ).
fof(f142,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != ap(c_2Ecomplex_2Ecomplex__inv,X0)
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f144,plain,
mem(sK3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f95]) ).
fof(f145,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK3,
inference(cnf_transformation,[],[f95]) ).
fof(f146,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK3),
inference(cnf_transformation,[],[f95]) ).
cnf(c_89,plain,
( ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = X0 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_90,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK3),
inference(cnf_transformation,[],[f146]) ).
cnf(c_91,negated_conjecture,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK3,
inference(cnf_transformation,[],[f145]) ).
cnf(c_92,negated_conjecture,
mem(sK3,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f144]) ).
cnf(c_545,plain,
ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal) = sP0_iProver_def,
definition ).
cnf(c_546,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = sP1_iProver_def,
definition ).
cnf(c_547,plain,
ap(c_2Ecomplex_2Ecomplex__inv,sK3) = sP2_iProver_def,
definition ).
cnf(c_548,negated_conjecture,
mem(sK3,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_92,c_545]) ).
cnf(c_549,negated_conjecture,
sP1_iProver_def != sK3,
inference(demodulation,[status(thm)],[c_91,c_546]) ).
cnf(c_550,negated_conjecture,
sP1_iProver_def = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_90,c_547]) ).
cnf(c_1127,plain,
ap(c_2Ecomplex_2Ecomplex__inv,sK3) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_547,c_550]) ).
cnf(c_2149,plain,
( ap(c_2Ecomplex_2Ecomplex__inv,X0) != sP1_iProver_def
| ~ mem(X0,sP0_iProver_def)
| X0 = sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_89,c_545,c_546]) ).
cnf(c_2156,plain,
( ~ mem(sK3,sP0_iProver_def)
| sK3 = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_1127,c_2149]) ).
cnf(c_2158,plain,
sK3 = sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_2156,c_548]) ).
cnf(c_2162,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_549,c_2158]) ).
cnf(c_2164,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 22:31:46 EDT 2024
% 0.14/0.35 % 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
% 2.41/1.17 % SZS status Started for theBenchmark.p
% 2.41/1.17 % SZS status Theorem for theBenchmark.p
% 2.41/1.17
% 2.41/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.41/1.17
% 2.41/1.17 ------ iProver source info
% 2.41/1.17
% 2.41/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.41/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.41/1.17 git: non_committed_changes: false
% 2.41/1.17
% 2.41/1.17 ------ Parsing...
% 2.41/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.41/1.17
% 2.41/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.41/1.17
% 2.41/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.41/1.17
% 2.41/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.41/1.17 ------ Proving...
% 2.41/1.17 ------ Problem Properties
% 2.41/1.17
% 2.41/1.17
% 2.41/1.17 clauses 47
% 2.41/1.17 conjectures 3
% 2.41/1.17 EPR 14
% 2.41/1.17 Horn 41
% 2.41/1.17 unary 20
% 2.41/1.17 binary 5
% 2.41/1.17 lits 117
% 2.41/1.17 lits eq 16
% 2.41/1.17 fd_pure 0
% 2.41/1.17 fd_pseudo 0
% 2.41/1.17 fd_cond 1
% 2.41/1.17 fd_pseudo_cond 5
% 2.41/1.17 AC symbols 0
% 2.41/1.17
% 2.41/1.17 ------ Schedule dynamic 5 is on
% 2.41/1.17
% 2.41/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.41/1.17
% 2.41/1.17
% 2.41/1.17 ------
% 2.41/1.17 Current options:
% 2.41/1.17 ------
% 2.41/1.17
% 2.41/1.17
% 2.41/1.17
% 2.41/1.17
% 2.41/1.17 ------ Proving...
% 2.41/1.17
% 2.41/1.17
% 2.41/1.17 % SZS status Theorem for theBenchmark.p
% 2.41/1.17
% 2.41/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/1.17
% 2.41/1.17
%------------------------------------------------------------------------------