TSTP Solution File: COM125+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:10:36 EDT 2024
% Result : Theorem 4.17s 1.16s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 150 ( 43 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 177 ( 74 ~; 56 |; 33 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 181 ( 6 sgn 140 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X14,X0,X3,X8,X13,X10] :
( ( vabs(X8,X14,X10) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X10)
& X8 != X13 ) )
& ( ( visFreeVar(X13,X10)
& X8 != X13 )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar1) ).
fof(f58,axiom,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs))
& X8 != X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof(f59,axiom,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs))
& X8 = X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f60,conjecture,
! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(f61,negated_conjecture,
~ ! [X8,X9,X19,X20,X34,X14] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
inference(negated_conjecture,[],[f60]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vabs(X3,X0,X5) = X2
& X1 = X4 )
=> ( ( visFreeVar(X1,X2)
=> ( visFreeVar(X4,X5)
& X3 != X4 ) )
& ( ( visFreeVar(X4,X5)
& X3 != X4 )
=> visFreeVar(X1,X2) ) ) ),
inference(rectify,[],[f11]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& X0 != X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f58]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& X0 = X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f59]) ).
fof(f119,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(rectify,[],[f61]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( ( visFreeVar(X4,X5)
& X3 != X4 )
| ~ visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
| ~ visFreeVar(X4,X5)
| X3 = X4 ) )
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(ennf_transformation,[],[f70]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( ( visFreeVar(X4,X5)
& X3 != X4 )
| ~ visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
| ~ visFreeVar(X4,X5)
| X3 = X4 ) )
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(flattening,[],[f130]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3 ),
inference(ennf_transformation,[],[f117]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3 ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3 ),
inference(ennf_transformation,[],[f118]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3 ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) ),
inference(ennf_transformation,[],[f119]) ).
fof(f208,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) ),
inference(flattening,[],[f207]) ).
fof(f296,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
=> ( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
& vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
& ~ visFreeVar(sK87,vabs(sK90,sK91,veabs)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
& vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
& ~ visFreeVar(sK87,vabs(sK90,sK91,veabs)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92])],[f208,f296]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4,X5] :
( visFreeVar(X1,X2)
| ~ visFreeVar(X4,X5)
| X3 = X4
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(cnf_transformation,[],[f131]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X4
| ~ visFreeVar(X1,X2)
| vabs(X3,X0,X5) != X2
| X1 != X4 ),
inference(cnf_transformation,[],[f131]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3 ),
inference(cnf_transformation,[],[f204]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3 ),
inference(cnf_transformation,[],[f206]) ).
fof(f451,plain,
~ visFreeVar(sK87,vabs(sK90,sK91,veabs)),
inference(cnf_transformation,[],[f297]) ).
fof(f452,plain,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f297]) ).
fof(f453,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f297]) ).
fof(f470,plain,
! [X2,X0,X1,X4,X5] :
( ~ visFreeVar(X1,X2)
| vabs(X4,X0,X5) != X2
| X1 != X4 ),
inference(equality_resolution,[],[f316]) ).
fof(f471,plain,
! [X0,X1,X4,X5] :
( ~ visFreeVar(X1,vabs(X4,X0,X5))
| X1 != X4 ),
inference(equality_resolution,[],[f470]) ).
fof(f472,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f471]) ).
fof(f473,plain,
! [X3,X0,X1,X4,X5] :
( visFreeVar(X1,vabs(X3,X0,X5))
| ~ visFreeVar(X4,X5)
| X3 = X4
| X1 != X4 ),
inference(equality_resolution,[],[f315]) ).
fof(f474,plain,
! [X3,X0,X4,X5] :
( visFreeVar(X4,vabs(X3,X0,X5))
| ~ visFreeVar(X4,X5)
| X3 = X4 ),
inference(equality_resolution,[],[f473]) ).
fof(f565,plain,
! [X2,X3,X1,X4,X5] :
( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X3,vabs(X3,X4,veabs)) ),
inference(equality_resolution,[],[f450]) ).
cnf(c_64,plain,
~ visFreeVar(X0,vabs(X0,X1,X2)),
inference(cnf_transformation,[],[f472]) ).
cnf(c_65,plain,
( ~ visFreeVar(X0,X1)
| X0 = X2
| visFreeVar(X0,vabs(X2,X3,X1)) ),
inference(cnf_transformation,[],[f474]) ).
cnf(c_190,plain,
( ~ vtcheck(X0,vabs(X1,X2,veabs),X3)
| X1 = X4
| vtcheck(vbind(X4,X5,X0),vabs(X1,X2,veabs),X3)
| visFreeVar(X4,vabs(X1,X2,veabs)) ),
inference(cnf_transformation,[],[f449]) ).
cnf(c_191,plain,
( ~ vtcheck(X0,vabs(X1,X2,veabs),X3)
| vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3)
| visFreeVar(X1,vabs(X1,X2,veabs)) ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_192,negated_conjecture,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f453]) ).
cnf(c_193,negated_conjecture,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f452]) ).
cnf(c_194,negated_conjecture,
~ visFreeVar(sK87,vabs(sK90,sK91,veabs)),
inference(cnf_transformation,[],[f451]) ).
cnf(c_358,plain,
( ~ vtcheck(X0,vabs(X1,X2,veabs),X3)
| vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_191,c_64]) ).
cnf(c_16377,plain,
( ~ visFreeVar(sK87,veabs)
| sK87 = sK90 ),
inference(superposition,[status(thm)],[c_65,c_194]) ).
cnf(c_16451,plain,
( ~ vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
| sK87 = sK90
| visFreeVar(sK87,vabs(sK90,sK91,veabs)) ),
inference(superposition,[status(thm)],[c_190,c_192]) ).
cnf(c_16452,plain,
sK87 = sK90,
inference(global_subsumption_just,[status(thm)],[c_16377,c_194,c_193,c_16451]) ).
cnf(c_16454,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK87,sK91,veabs),sK92),
inference(superposition,[status(thm)],[c_16452,c_192]) ).
cnf(c_16455,plain,
vtcheck(sK89,vabs(sK87,sK91,veabs),sK92),
inference(superposition,[status(thm)],[c_16452,c_193]) ).
cnf(c_16521,plain,
~ vtcheck(sK89,vabs(sK87,sK91,veabs),sK92),
inference(superposition,[status(thm)],[c_358,c_16454]) ).
cnf(c_16522,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_16455,c_16521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:54:46 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 4.17/1.16 % SZS status Started for theBenchmark.p
% 4.17/1.16 % SZS status Theorem for theBenchmark.p
% 4.17/1.16
% 4.17/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.17/1.16
% 4.17/1.16 ------ iProver source info
% 4.17/1.16
% 4.17/1.16 git: date: 2024-05-02 19:28:25 +0000
% 4.17/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.17/1.16 git: non_committed_changes: false
% 4.17/1.16
% 4.17/1.16 ------ Parsing...
% 4.17/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.17/1.16
% 4.17/1.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 4.17/1.16
% 4.17/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.17/1.16
% 4.17/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.17/1.16 ------ Proving...
% 4.17/1.16 ------ Problem Properties
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 clauses 142
% 4.17/1.16 conjectures 3
% 4.17/1.16 EPR 3
% 4.17/1.16 Horn 113
% 4.17/1.16 unary 26
% 4.17/1.16 binary 87
% 4.17/1.16 lits 311
% 4.17/1.16 lits eq 133
% 4.17/1.16 fd_pure 0
% 4.17/1.16 fd_pseudo 0
% 4.17/1.16 fd_cond 3
% 4.17/1.16 fd_pseudo_cond 21
% 4.17/1.16 AC symbols 0
% 4.17/1.16
% 4.17/1.16 ------ Input Options Time Limit: Unbounded
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 ------
% 4.17/1.16 Current options:
% 4.17/1.16 ------
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 ------ Proving...
% 4.17/1.16
% 4.17/1.16
% 4.17/1.16 % SZS status Theorem for theBenchmark.p
% 4.17/1.16
% 4.17/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.17
% 4.17/1.17
%------------------------------------------------------------------------------