%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS179+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 : 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 01:53:25 PM UTC 2026
% Result : Theorem 6.11s 1.36s
% Output : Proof 6.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 15 ~; 17 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 18 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f1_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)],[f1]) ).
fof(f1_sk,plain,
! [S1,S2,Ax,C] :
( ( ~ isa(S1,S2)
| status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ( isa(S1,S2)
| ( ~ status(sk2(S1,S2),sk3(S1,S2),S2)
& status(sk2(S1,S2),sk3(S1,S2),S1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f1_nnf]) ).
cnf(c5,plain,
( ~ isa(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(c3,plain,
( isa(X0,X1)
| status(sk2(X0,X1),sk3(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p47,plain,
( isa(X0,X1)
| ~ isa(X0,X2)
| status(sk2(X0,X1),sk3(X0,X1),X2) ),
inference(resolution,[status(thm)],[c5,c3]) ).
fof(f13,conjecture,
! [S1,S2,S3] :
( ( isa(S2,S3)
& isa(S1,S2) )
=> isa(S1,S3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_transitive) ).
fof(f13_neg,negated_conjecture,
~ ! [S1,S2,S3] :
( ( isa(S2,S3)
& isa(S1,S2) )
=> isa(S1,S3) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [S1,S2,S3] :
( ~ isa(S1,S3)
& isa(S2,S3)
& isa(S1,S2) ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
( ~ isa(sk28,sk30)
& isa(sk29,sk30)
& isa(sk28,sk29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk28,sk29,sk30])],[f13_nnf]) ).
cnf(c39,plain,
isa(sk28,sk29),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p220,plain,
( isa(sk28,X0)
| status(sk2(sk28,X0),sk3(sk28,X0),sk29) ),
inference(resolution,[status(thm)],[p47,c39]) ).
cnf(p603,plain,
( ~ isa(sk29,X1)
| status(sk2(sk28,X0),sk3(sk28,X0),X1)
| isa(sk28,X0) ),
inference(resolution,[status(thm)],[p220,c5]) ).
cnf(c40,plain,
isa(sk29,sk30),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p1845,plain,
( status(sk2(sk28,X0),sk3(sk28,X0),sk30)
| isa(sk28,X0) ),
inference(resolution,[status(thm)],[p603,c40]) ).
cnf(c4,plain,
( isa(X0,X1)
| ~ status(sk2(X0,X1),sk3(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p1847,plain,
( isa(sk28,sk30)
| isa(sk28,sk30) ),
inference(resolution,[status(thm)],[p1845,c4]) ).
cnf(p1852,plain,
isa(sk28,sk30),
inference(factoring,[status(thm)],[p1847]) ).
cnf(c41,plain,
~ isa(sk28,sk30),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p1854,plain,
$false,
inference(resolution,[status(thm)],[p1852,c41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS179+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 19:41:27 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.11/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.11/1.36 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------