%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS194+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 : n016.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 01:53:26 PM UTC 2026
% Result : Theorem 35.87s 5.04s
% Output : Proof 35.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 27 ~; 25 |; 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 : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 5 sgn 31 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f20_nnf,plain,
! [S1,S2] :
( ( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [S1,S2,Ax,C] :
( ( ~ isa(S1,S2)
| status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ( isa(S1,S2)
| ( ~ status(sk43(S1,S2),sk44(S1,S2),S2)
& status(sk43(S1,S2),sk44(S1,S2),S1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk43,sk44])],[f20_nnf]) ).
cnf(c83,plain,
( isa(X0,X1)
| ~ status(sk43(X0,X1),sk44(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(c82,plain,
( isa(X0,X1)
| status(sk43(X0,X1),sk44(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
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]) ).
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(c59,plain,
( ~ status(X0,X1,sca)
| ~ model(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p263,plain,
( ~ status(X0,X2,sca)
| status(X0,X1,thm) ),
inference(resolution,[status(thm)],[c15,c59]) ).
cnf(p6916,plain,
( status(sk43(sca,X0),X1,thm)
| isa(sca,X0) ),
inference(resolution,[status(thm)],[c82,p263]) ).
cnf(p8531,plain,
( isa(sca,thm)
| isa(sca,thm) ),
inference(resolution,[status(thm)],[c83,p6916]) ).
cnf(p8551,plain,
isa(sca,thm),
inference(factoring,[status(thm)],[p8531]) ).
fof(f32,conjecture,
isa(sca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_sca_thm) ).
fof(f32_neg,negated_conjecture,
~ isa(sca,thm),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
~ isa(sca,thm),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
~ isa(sca,thm),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c118,plain,
~ isa(sca,thm),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p8552,plain,
$false,
inference(resolution,[status(thm)],[p8551,c118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS194+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 19:43:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.87/5.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.87/5.04 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------