TSTP Solution File: COM144+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 : 600s
% DateTime : Fri Jul 15 01:32:57 EDT 2022
% Result : Theorem 0.44s 0.58s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 50 ( 39 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 20 ~; 12 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 59 ( 7 sgn 33 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof('DIFF-noExp-someExp',axiom,
! [VExp0] : vnoExp != vsomeExp(VExp0) ).
fof(reduce1,axiom,
! [Vx,VS,Ve,VExp0,RESULT] :
( VExp0 = vabs(Vx,VS,Ve)
=> ( RESULT = vreduce(VExp0)
=> RESULT = vnoExp ) ) ).
fof('T-Preservation-T-abs',conjecture,
! [Vx,VS,VC,Veout,VT] :
( ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
& vtcheck(VC,vabs(Vx,VS,ve1),VT) )
=> vtcheck(VC,Veout,VT) ) ).
fof(subgoal_0,plain,
! [Vx,VS,VC,Veout,VT] :
( ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
& vtcheck(VC,vabs(Vx,VS,ve1),VT) )
=> vtcheck(VC,Veout,VT) ),
inference(strip,[],['T-Preservation-T-abs']) ).
fof(negate_0_0,plain,
~ ! [Vx,VS,VC,Veout,VT] :
( ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
& vtcheck(VC,vabs(Vx,VS,ve1),VT) )
=> vtcheck(VC,Veout,VT) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [VC,VS,VT,Veout,Vx] :
( ~ vtcheck(VC,Veout,VT)
& vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
& vtcheck(VC,vabs(Vx,VS,ve1),VT) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ vtcheck(skolemFOFtoCNF_VC_2,skolemFOFtoCNF_Veout,skolemFOFtoCNF_VT_3)
& vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) = vsomeExp(skolemFOFtoCNF_Veout)
& vtcheck(skolemFOFtoCNF_VC_2,vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1),skolemFOFtoCNF_VT_3) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) = vsomeExp(skolemFOFtoCNF_Veout),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [RESULT,VExp0,VS,Ve,Vx] :
( RESULT != vreduce(VExp0)
| VExp0 != vabs(Vx,VS,Ve)
| RESULT = vnoExp ),
inference(canonicalize,[],[reduce1]) ).
fof(normalize_0_4,plain,
! [RESULT,VExp0,VS,Ve,Vx] :
( RESULT != vreduce(VExp0)
| VExp0 != vabs(Vx,VS,Ve)
| RESULT = vnoExp ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [VExp0] : vnoExp != vsomeExp(VExp0),
inference(canonicalize,[],['DIFF-noExp-someExp']) ).
fof(normalize_0_6,plain,
! [VExp0] : vnoExp != vsomeExp(VExp0),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) = vsomeExp(skolemFOFtoCNF_Veout),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( RESULT != vreduce(VExp0)
| VExp0 != vabs(Vx,VS,Ve)
| RESULT = vnoExp ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( vabs(Vx,VS,Ve) != vabs(Vx,VS,Ve)
| vreduce(vabs(Vx,VS,Ve)) != vreduce(vabs(Vx,VS,Ve))
| vreduce(vabs(Vx,VS,Ve)) = vnoExp ),
inference(subst,[],[refute_0_1:[bind(RESULT,$fot(vreduce(vabs(Vx,VS,Ve)))),bind(VExp0,$fot(vabs(Vx,VS,Ve)))]]) ).
cnf(refute_0_3,plain,
vabs(Vx,VS,Ve) = vabs(Vx,VS,Ve),
introduced(tautology,[refl,[$fot(vabs(Vx,VS,Ve))]]) ).
cnf(refute_0_4,plain,
( vreduce(vabs(Vx,VS,Ve)) != vreduce(vabs(Vx,VS,Ve))
| vreduce(vabs(Vx,VS,Ve)) = vnoExp ),
inference(resolve,[$cnf( $equal(vabs(Vx,VS,Ve),vabs(Vx,VS,Ve)) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
vreduce(vabs(Vx,VS,Ve)) = vreduce(vabs(Vx,VS,Ve)),
introduced(tautology,[refl,[$fot(vreduce(vabs(Vx,VS,Ve)))]]) ).
cnf(refute_0_6,plain,
vreduce(vabs(Vx,VS,Ve)) = vnoExp,
inference(resolve,[$cnf( $equal(vreduce(vabs(Vx,VS,Ve)),vreduce(vabs(Vx,VS,Ve))) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) = vnoExp,
inference(subst,[],[refute_0_6:[bind(VS,$fot(skolemFOFtoCNF_VS_5)),bind(Ve,$fot(ve1)),bind(Vx,$fot(skolemFOFtoCNF_Vx_16))]]) ).
cnf(refute_0_8,plain,
( vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) != vnoExp
| vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) != vsomeExp(skolemFOFtoCNF_Veout)
| vnoExp = vsomeExp(skolemFOFtoCNF_Veout) ),
introduced(tautology,[equality,[$cnf( $equal(vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)),vsomeExp(skolemFOFtoCNF_Veout)) ),[0],$fot(vnoExp)]]) ).
cnf(refute_0_9,plain,
( vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) != vsomeExp(skolemFOFtoCNF_Veout)
| vnoExp = vsomeExp(skolemFOFtoCNF_Veout) ),
inference(resolve,[$cnf( $equal(vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)),vnoExp) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
vnoExp = vsomeExp(skolemFOFtoCNF_Veout),
inference(resolve,[$cnf( $equal(vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)),vsomeExp(skolemFOFtoCNF_Veout)) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
vnoExp != vsomeExp(VExp0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_12,plain,
vnoExp != vsomeExp(skolemFOFtoCNF_Veout),
inference(subst,[],[refute_0_11:[bind(VExp0,$fot(skolemFOFtoCNF_Veout))]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( $equal(vnoExp,vsomeExp(skolemFOFtoCNF_Veout)) )],[refute_0_10,refute_0_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n006.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 : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 19:12:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.44/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.58
% 0.44/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.44/0.58
%------------------------------------------------------------------------------