%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS266+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 : n012.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 01:53:32 PM UTC 2026
% Result : Theorem 203.36s 36.01s
% Output : Proof 203.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 17 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 31 ~; 25 |; 14 &)
% ( 3 <=>; 1 =>; 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 4 sgn 35 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [Ax,C] :
( ( ? [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,sca) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sca) ).
fof(f13_nnf,plain,
! [Ax,C] :
( ( ~ status(Ax,C,sca)
| ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) ) )
& ( status(Ax,C,sca)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [Ax,C,I2,I1] :
( ( ~ status(Ax,C,sca)
| ( model(sk30(Ax,C),C)
& ~ model(I1,Ax) ) )
& ( status(Ax,C,sca)
| ~ model(I2,C)
| model(sk29(Ax,C),Ax) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk29,sk30])],[f13_nnf]) ).
cnf(c58,plain,
( status(X0,X1,sca)
| ~ model(X3,X1)
| model(sk29(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f13_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(p926,plain,
( status(X0,sk51,sca)
| model(sk29(X0,sk51),X0) ),
inference(resolution,[status(thm)],[c58,c103]) ).
fof(f28,axiom,
? [F] :
! [I] : ~ model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
fof(f28_nnf,plain,
? [F] :
! [I] : ~ model(I,F),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [I] : ~ model(I,sk55),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk55])],[f28_nnf]) ).
cnf(c106,plain,
~ model(X1,sk55),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p36312,plain,
status(sk55,sk51,sca),
inference(resolution,[status(thm)],[p926,c106]) ).
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]) ).
cnf(p36403,plain,
( mighta(sca,X0)
| ~ status(sk55,sk51,X0) ),
inference(resolution,[status(thm)],[p36312,c79]) ).
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(c15,plain,
( status(X0,X1,thm)
| model(sk9(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p286,plain,
status(sk55,X0,thm),
inference(resolution,[status(thm)],[c15,c106]) ).
cnf(p79033,plain,
mighta(sca,thm),
inference(resolution,[status(thm)],[p36403,p286]) ).
fof(f32,conjecture,
mighta(sca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_sca_thm) ).
fof(f32_neg,negated_conjecture,
~ mighta(sca,thm),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
~ mighta(sca,thm),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
~ mighta(sca,thm),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c118,plain,
~ mighta(sca,thm),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p79041,plain,
$false,
inference(resolution,[status(thm)],[p79033,c118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS266+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.04/10.31 % Computer : n012.cluster.edu
% 0.04/10.31 % Model : x86_64 x86_64
% 0.04/10.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.31 % Memory : 8046.5625MB
% 0.04/10.31 % OS : Linux 6.8.0-71-generic
% 0.04/10.31 % CPULimit : 300
% 0.04/10.31 % WCLimit : 300
% 0.04/10.31 % DateTime : Wed Sep 23 19:51:49 UTC 2026
% 0.04/10.31 % CPUTime :
% 0.04/10.32 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 203.36/36.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 203.36/36.01 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------