%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS201+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 01:53:27 PM UTC 2026
% Result : Theorem 29.90s 29.58s
% Output : Proof 29.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 32 ~; 26 |; 16 &)
% ( 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 67 ( 8 sgn 32 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
fof(f21_nnf,plain,
! [S1,S2] :
( ( ~ nota(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [Ax,C,S1,S2] :
( ( ~ nota(S1,S2)
| ( ~ status(sk45(S1,S2),sk46(S1,S2),S2)
& status(sk45(S1,S2),sk46(S1,S2),S1) ) )
& ( nota(S1,S2)
| status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk45,sk46])],[f21_nnf]) ).
cnf(c85,plain,
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f1,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
=> ? [I2] : model(I2,C) )
<=> status(Ax,C,sap) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sap) ).
fof(f1_nnf,plain,
! [Ax,C] :
( ( ~ status(Ax,C,sap)
| ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) )
& ( status(Ax,C,sap)
| ( ! [I2] : ~ model(I2,C)
& ? [I1] : model(I1,Ax) ) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [Ax,C,I2,I1] :
( ( ~ status(Ax,C,sap)
| model(sk3(Ax,C),C)
| ~ model(I1,Ax) )
& ( status(Ax,C,sap)
| ( ~ model(I2,C)
& model(sk2(Ax,C),Ax) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f1_nnf]) ).
cnf(c4,plain,
( status(X0,X1,sap)
| ~ model(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f27,axiom,
? [F] :
( ? [I2] : ~ model(I2,F)
& ? [I1] : model(I1,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable) ).
fof(f27_nnf,plain,
? [F] :
( ? [I2] : ~ model(I2,F)
& ? [I1] : model(I1,F) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( ~ model(sk54,sk52)
& model(sk53,sk52) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk52,sk53,sk54])],[f27_nnf]) ).
cnf(c104,plain,
model(sk53,sk52),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p142,plain,
status(X0,sk52,sap),
inference(resolution,[status(thm)],[c4,c104]) ).
cnf(p1509,plain,
( nota(sap,X1)
| status(X0,sk52,X1) ),
inference(resolution,[status(thm)],[c85,p142]) ).
fof(f4,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/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(c17,plain,
( ~ status(X0,X1,thm)
| model(X2,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f26,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox2/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(p315,plain,
( ~ status(sk51,X1,thm)
| model(X0,X1) ),
inference(resolution,[status(thm)],[c17,c103]) ).
cnf(p24048,plain,
( model(X0,sk52)
| nota(sap,thm) ),
inference(resolution,[status(thm)],[p1509,p315]) ).
fof(f32,conjecture,
nota(sap,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_sap_thm) ).
fof(f32_neg,negated_conjecture,
~ nota(sap,thm),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
~ nota(sap,thm),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
~ nota(sap,thm),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c118,plain,
~ nota(sap,thm),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p24062,plain,
model(X0,sk52),
inference(resolution,[status(thm)],[p24048,c118]) ).
cnf(c105,plain,
~ model(sk54,sk52),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p24063,plain,
$false,
inference(resolution,[status(thm)],[p24062,c105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS201+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.30/25.65 % CPULimit : 300
% 0.30/25.65 % WCLimit : 300
% 0.30/25.65 % DateTime : Wed Sep 23 19:40:41 UTC 2026
% 0.30/25.65 % CPUTime :
% 0.30/25.65 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.90/29.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.90/29.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------