TSTP Solution File: COM144+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:10:40 EDT 2024
% Result : Theorem 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 51 ( 34 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 18 ~; 7 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 69 ( 4 sgn 50 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X3] : vnoExp != vsomeExp(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).
fof(f43,axiom,
! [X8,X9,X10,X3,X18] :
( vabs(X8,X9,X10) = X3
=> ( vreduce(X3) = X18
=> vnoExp = X18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduce1) ).
fof(f60,conjecture,
! [X8,X9,X19,X34,X14] :
( ( vtcheck(X19,vabs(X8,X9,ve1),X14)
& vsomeExp(X34) = vreduce(vabs(X8,X9,ve1)) )
=> vtcheck(X19,X34,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-abs') ).
fof(f61,negated_conjecture,
~ ! [X8,X9,X19,X34,X14] :
( ( vtcheck(X19,vabs(X8,X9,ve1),X14)
& vsomeExp(X34) = vreduce(vabs(X8,X9,ve1)) )
=> vtcheck(X19,X34,X14) ),
inference(negated_conjecture,[],[f60]) ).
fof(f97,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(rectify,[],[f38]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( vabs(X0,X1,X2) = X3
=> ( vreduce(X3) = X4
=> vnoExp = X4 ) ),
inference(rectify,[],[f43]) ).
fof(f119,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) )
=> vtcheck(X2,X3,X4) ),
inference(rectify,[],[f61]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(ennf_transformation,[],[f102]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(flattening,[],[f175]) ).
fof(f207,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) ),
inference(ennf_transformation,[],[f119]) ).
fof(f208,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) ),
inference(flattening,[],[f207]) ).
fof(f296,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) )
=> ( ~ vtcheck(sK89,sK90,sK91)
& vtcheck(sK89,vabs(sK87,sK88,ve1),sK91)
& vsomeExp(sK90) = vreduce(vabs(sK87,sK88,ve1)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ~ vtcheck(sK89,sK90,sK91)
& vtcheck(sK89,vabs(sK87,sK88,ve1),sK91)
& vsomeExp(sK90) = vreduce(vabs(sK87,sK88,ve1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91])],[f208,f296]) ).
fof(f392,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[],[f97]) ).
fof(f397,plain,
! [X2,X3,X0,X1,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f176]) ).
fof(f451,plain,
vsomeExp(sK90) = vreduce(vabs(sK87,sK88,ve1)),
inference(cnf_transformation,[],[f297]) ).
fof(f542,plain,
! [X2,X3,X0,X1] :
( vnoExp = vreduce(X3)
| vabs(X0,X1,X2) != X3 ),
inference(equality_resolution,[],[f397]) ).
fof(f543,plain,
! [X2,X0,X1] : vnoExp = vreduce(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f542]) ).
cnf(c_134,plain,
vsomeExp(X0) != vnoExp,
inference(cnf_transformation,[],[f392]) ).
cnf(c_139,plain,
vreduce(vabs(X0,X1,X2)) = vnoExp,
inference(cnf_transformation,[],[f543]) ).
cnf(c_194,negated_conjecture,
vreduce(vabs(sK87,sK88,ve1)) = vsomeExp(sK90),
inference(cnf_transformation,[],[f451]) ).
cnf(c_974,plain,
vsomeExp(sK90) = vnoExp,
inference(demodulation,[status(thm)],[c_194,c_139]) ).
cnf(c_975,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_974,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 00:43:42 EDT 2024
% 0.15/0.35 % 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
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...
% 0.48/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing...
% 0.48/1.17
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17
% 0.48/1.17
%------------------------------------------------------------------------------