%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS178+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 : n017.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 4.07s 1.10s
% Output : Proof 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 9 |; 4 &)
% ( 1 <=>; 1 =>; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(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(c4,plain,
( isa(X0,X1)
| ~ status(sk2(X0,X1),sk3(X0,X1),X1) ),
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(p51,plain,
( isa(X0,X0)
| isa(X0,X0) ),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(p52,plain,
isa(X0,X0),
inference(factoring,[status(thm)],[p51]) ).
fof(f13,conjecture,
! [S1] : isa(S1,S1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_reflexive) ).
fof(f13_neg,negated_conjecture,
~ ! [S1] : isa(S1,S1),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [S1] : ~ isa(S1,S1),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
~ isa(sk28,sk28),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk28])],[f13_nnf]) ).
cnf(c39,plain,
~ isa(sk28,sk28),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p53,plain,
$false,
inference(resolution,[status(thm)],[p52,c39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS178+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:31:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.07/1.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.07/1.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------