%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS254+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 01:53:31 PM UTC 2026
% Result : Theorem 8.04s 8.14s
% Output : Proof 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 29 ~; 23 |; 13 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 6 sgn 32 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f19_nnf,plain,
! [S1,S2] :
( ( ~ mighta(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [Ax,C,S1,S2] :
( ( ~ mighta(S1,S2)
| ( status(sk41(S1,S2),sk42(S1,S2),S2)
& status(sk41(S1,S2),sk42(S1,S2),S1) ) )
& ( mighta(S1,S2)
| ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk41,sk42])],[f19_nnf]) ).
cnf(c79,plain,
( mighta(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f0,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
=> ~ ? [I2] : model(I2,C) )
<=> status(Ax,C,unp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp) ).
fof(f0_nnf,plain,
! [Ax,C] :
( ( ~ status(Ax,C,unp)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) )
& ( status(Ax,C,unp)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [I1,Ax,C,I2] :
( ( ~ status(Ax,C,unp)
| ~ model(I2,C)
| model(sk1(Ax,C),Ax) )
& ( status(Ax,C,unp)
| ( model(sk0(Ax,C),C)
& ~ model(I1,Ax) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c0,plain,
( status(X0,X1,unp)
| ~ model(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f26,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f26_nnf,plain,
? [F] :
! [I] : model(I,F),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [I] : model(I,sk51),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk51])],[f26_nnf]) ).
cnf(c103,plain,
model(X1,sk51),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p119,plain,
status(sk51,X0,unp),
inference(resolution,[status(thm)],[c0,c103]) ).
cnf(p1239,plain,
( mighta(unp,X1)
| ~ status(sk51,X0,X1) ),
inference(resolution,[status(thm)],[c79,p119]) ).
fof(f4,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f4_nnf,plain,
! [Ax,C] :
( ( ~ status(Ax,C,thm)
| ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) ) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Ax,C,I1] :
( ( ~ status(Ax,C,thm)
| model(I1,C)
| ~ model(I1,Ax) )
& ( status(Ax,C,thm)
| ( ~ model(sk9(Ax,C),C)
& model(sk9(Ax,C),Ax) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk9])],[f4_nnf]) ).
cnf(c16,plain,
( status(X0,X1,thm)
| ~ model(sk9(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p300,plain,
status(X0,sk51,thm),
inference(resolution,[status(thm)],[c16,c103]) ).
cnf(p1928,plain,
mighta(unp,thm),
inference(resolution,[status(thm)],[p1239,p300]) ).
fof(f32,conjecture,
mighta(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_unp_thm) ).
fof(f32_neg,negated_conjecture,
~ mighta(unp,thm),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
~ mighta(unp,thm),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
~ mighta(unp,thm),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c118,plain,
~ mighta(unp,thm),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p1933,plain,
$false,
inference(resolution,[status(thm)],[p1928,c118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS254+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/6.96 % Computer : n013.cluster.edu
% 0.08/6.96 % Model : x86_64 x86_64
% 0.08/6.96 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/6.96 % Memory : 8046.5625MB
% 0.08/6.96 % OS : Linux 6.8.0-71-generic
% 0.08/6.96 % CPULimit : 300
% 0.08/6.96 % WCLimit : 300
% 0.08/6.96 % DateTime : Wed Sep 23 19:49:32 UTC 2026
% 0.08/6.96 % CPUTime :
% 0.08/6.96 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.04/8.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.04/8.14 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------