%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM146+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 0.39s 0.57s
% Output : CNFRefutation 0.39s
% 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 : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 37 ( 3 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof('DIFF-noExp-someExp',axiom,
! [VExp0] : vnoExp != vsomeExp(VExp0) ).
fof(reduce0,axiom,
! [Vx,VExp0,RESULT] :
( VExp0 = vvar(Vx)
=> ( RESULT = vreduce(VExp0)
=> RESULT = vnoExp ) ) ).
fof('T-Preservation-T-var',conjecture,
! [Vx,VC,Veout,VT] :
( ( vreduce(vvar(Vx)) = vsomeExp(Veout)
& vtcheck(VC,vvar(Vx),VT) )
=> vtcheck(VC,Veout,VT) ) ).
fof(subgoal_0,plain,
! [Vx,VC,Veout,VT] :
( ( vreduce(vvar(Vx)) = vsomeExp(Veout)
& vtcheck(VC,vvar(Vx),VT) )
=> vtcheck(VC,Veout,VT) ),
inference(strip,[],['T-Preservation-T-var']) ).
fof(negate_0_0,plain,
~ ! [Vx,VC,Veout,VT] :
( ( vreduce(vvar(Vx)) = vsomeExp(Veout)
& vtcheck(VC,vvar(Vx),VT) )
=> vtcheck(VC,Veout,VT) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [VC,VT,Veout,Vx] :
( ~ vtcheck(VC,Veout,VT)
& vreduce(vvar(Vx)) = vsomeExp(Veout)
& vtcheck(VC,vvar(Vx),VT) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ vtcheck(skolemFOFtoCNF_VC_2,skolemFOFtoCNF_Veout,skolemFOFtoCNF_VT_3)
& vreduce(vvar(skolemFOFtoCNF_Vx_16)) = vsomeExp(skolemFOFtoCNF_Veout)
& vtcheck(skolemFOFtoCNF_VC_2,vvar(skolemFOFtoCNF_Vx_16),skolemFOFtoCNF_VT_3) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
vreduce(vvar(skolemFOFtoCNF_Vx_16)) = vsomeExp(skolemFOFtoCNF_Veout),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [RESULT,VExp0,Vx] :
( RESULT != vreduce(VExp0)
| VExp0 != vvar(Vx)
| RESULT = vnoExp ),
inference(canonicalize,[],[reduce0]) ).
fof(normalize_0_4,plain,
! [RESULT,VExp0,Vx] :
( RESULT != vreduce(VExp0)
| VExp0 != vvar(Vx)
| 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(vvar(skolemFOFtoCNF_Vx_16)) = vsomeExp(skolemFOFtoCNF_Veout),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( RESULT != vreduce(VExp0)
| VExp0 != vvar(Vx)
| RESULT = vnoExp ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( vreduce(vvar(Vx)) != vreduce(vvar(Vx))
| vvar(Vx) != vvar(Vx)
| vreduce(vvar(Vx)) = vnoExp ),
inference(subst,[],[refute_0_1:[bind(RESULT,$fot(vreduce(vvar(Vx)))),bind(VExp0,$fot(vvar(Vx)))]]) ).
cnf(refute_0_3,plain,
vreduce(vvar(Vx)) = vreduce(vvar(Vx)),
introduced(tautology,[refl,[$fot(vreduce(vvar(Vx)))]]) ).
cnf(refute_0_4,plain,
( vvar(Vx) != vvar(Vx)
| vreduce(vvar(Vx)) = vnoExp ),
inference(resolve,[$cnf( $equal(vreduce(vvar(Vx)),vreduce(vvar(Vx))) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
vvar(Vx) = vvar(Vx),
introduced(tautology,[refl,[$fot(vvar(Vx))]]) ).
cnf(refute_0_6,plain,
vreduce(vvar(Vx)) = vnoExp,
inference(resolve,[$cnf( $equal(vvar(Vx),vvar(Vx)) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
vreduce(vvar(skolemFOFtoCNF_Vx_16)) = vnoExp,
inference(subst,[],[refute_0_6:[bind(Vx,$fot(skolemFOFtoCNF_Vx_16))]]) ).
cnf(refute_0_8,plain,
( vreduce(vvar(skolemFOFtoCNF_Vx_16)) != vnoExp
| vreduce(vvar(skolemFOFtoCNF_Vx_16)) != vsomeExp(skolemFOFtoCNF_Veout)
| vnoExp = vsomeExp(skolemFOFtoCNF_Veout) ),
introduced(tautology,[equality,[$cnf( $equal(vreduce(vvar(skolemFOFtoCNF_Vx_16)),vsomeExp(skolemFOFtoCNF_Veout)) ),[0],$fot(vnoExp)]]) ).
cnf(refute_0_9,plain,
( vreduce(vvar(skolemFOFtoCNF_Vx_16)) != vsomeExp(skolemFOFtoCNF_Veout)
| vnoExp = vsomeExp(skolemFOFtoCNF_Veout) ),
inference(resolve,[$cnf( $equal(vreduce(vvar(skolemFOFtoCNF_Vx_16)),vnoExp) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
vnoExp = vsomeExp(skolemFOFtoCNF_Veout),
inference(resolve,[$cnf( $equal(vreduce(vvar(skolemFOFtoCNF_Vx_16)),vsomeExp(skolemFOFtoCNF_Veout)) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
vnoExp != vsomeExp(VExp0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_12,plain,
vnoExp != vsomeExp(skolemFOFtoCNF_Veout),
inference(subst,[],[refute_0_11:[bind(VExp0,$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
% 0.07/0.12 % Problem : COM146+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n021.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 : 600
% 0.14/0.34 % DateTime : Thu Jun 16 18:39:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57
% 0.39/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.39/0.58
%------------------------------------------------------------------------------