%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:03:40 PM UTC 2026
% Result : Theorem 30.50s 4.94s
% Output : Proof 30.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 23 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 11 ~; 3 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 6 sgn 20 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [Vx,VS,Ve,VExp0] :
( VExp0 = vabs(Vx,VS,Ve)
=> visValue(VExp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isValue0) ).
fof(f6_nnf,plain,
! [Vx,VS,Ve,VExp0] :
( visValue(VExp0)
| VExp0 != vabs(Vx,VS,Ve) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [VExp0,Vx,VS,Ve] :
( visValue(VExp0)
| VExp0 != vabs(Vx,VS,Ve) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c12,plain,
( visValue(X3)
| X3 != vabs(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p341,plain,
visValue(vabs(X0,X1,X2)),
inference(equality_resolution,[status(thm)],[c12]) ).
fof(f57,conjecture,
! [VTin,Vx,VS] :
( ( ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qtd29) ).
fof(f57_neg,negated_conjecture,
~ ! [VTin,Vx,VS] :
( ( ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f57_nnf,plain,
? [VTin,Vx,VS] :
( ! [Veout] : vreduce(vabs(Vx,VS,ve1)) != vsomeExp(Veout)
& ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin) ),
inference(nnf_transformation,[status(thm)],[f57_neg]) ).
fof(f57_sk,plain,
! [Veout] :
( vreduce(vabs(sk76,sk77,ve1)) != vsomeExp(Veout)
& ~ visValue(vabs(sk76,sk77,ve1))
& vtcheck(vempty,vabs(sk76,sk77,ve1),sk75) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk75,sk76,sk77])],[f57_nnf]) ).
cnf(c323,plain,
~ visValue(vabs(sk76,sk77,ve1)),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(p349,plain,
$false,
inference(resolution,[status(thm)],[p341,c323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 07:55:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.50/4.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.50/4.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------