%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 01:32:58 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 31 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 4 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 42 ( 6 sgn 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(isValue0,axiom,
! [Vx,VS,Ve,VExp0] :
( VExp0 = vabs(Vx,VS,Ve)
=> visValue(VExp0) ) ).
fof('T-Progress-T-abs',conjecture,
! [VTin,Vx,VS] :
( ( vtcheck(vempty,vabs(Vx,VS,ve1),VTin)
& ~ visValue(vabs(Vx,VS,ve1)) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ) ).
fof(subgoal_0,plain,
! [VTin,Vx,VS] :
( ( vtcheck(vempty,vabs(Vx,VS,ve1),VTin)
& ~ visValue(vabs(Vx,VS,ve1)) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
inference(strip,[],['T-Progress-T-abs']) ).
fof(negate_0_0,plain,
~ ! [VTin,Vx,VS] :
( ( vtcheck(vempty,vabs(Vx,VS,ve1),VTin)
& ~ visValue(vabs(Vx,VS,ve1)) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [VS,VTin,Vx] :
( ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin)
& ! [Veout] : vreduce(vabs(Vx,VS,ve1)) != vsomeExp(Veout) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ visValue(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1))
& vtcheck(vempty,vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1),skolemFOFtoCNF_VTin)
& ! [Veout] : vreduce(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) != vsomeExp(Veout) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ visValue(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [VExp0,VS,Ve,Vx] :
( VExp0 != vabs(Vx,VS,Ve)
| visValue(VExp0) ),
inference(canonicalize,[],[isValue0]) ).
fof(normalize_0_4,plain,
! [VExp0,VS,Ve,Vx] :
( VExp0 != vabs(Vx,VS,Ve)
| visValue(VExp0) ),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
~ visValue(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( VExp0 != vabs(Vx,VS,Ve)
| visValue(VExp0) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( vabs(Vx,VS,Ve) != vabs(Vx,VS,Ve)
| visValue(vabs(Vx,VS,Ve)) ),
inference(subst,[],[refute_0_1:[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,
visValue(vabs(Vx,VS,Ve)),
inference(resolve,[$cnf( $equal(vabs(Vx,VS,Ve),vabs(Vx,VS,Ve)) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
visValue(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)),
inference(subst,[],[refute_0_4:[bind(VS,$fot(skolemFOFtoCNF_VS_5)),bind(Ve,$fot(ve1)),bind(Vx,$fot(skolemFOFtoCNF_Vx_16))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( visValue(vabs(skolemFOFtoCNF_Vx_16,skolemFOFtoCNF_VS_5,ve1)) )],[refute_0_5,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 16 19:16:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.59
% 0.21/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.59
%------------------------------------------------------------------------------