%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS181+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 : n008.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 5.05s 1.16s
% Output : Proof 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 66 ( 25 ~; 21 |; 15 &)
% ( 2 <=>; 3 =>; 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; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 28 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
fof(f2_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)],[f2]) ).
fof(f2_sk,plain,
! [Ax,C,S1,S2] :
( ( ~ nota(S1,S2)
| ( ~ status(sk4(S1,S2),sk5(S1,S2),S2)
& status(sk4(S1,S2),sk5(S1,S2),S1) ) )
& ( nota(S1,S2)
| status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5])],[f2_nnf]) ).
cnf(c7,plain,
( ~ nota(X0,X1)
| status(sk4(X0,X1),sk5(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f13,conjecture,
! [S1,S2,S3] :
( ( nota(S1,S3)
& isa(S1,S2) )
=> nota(S2,S3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_isa_nota) ).
fof(f13_neg,negated_conjecture,
~ ! [S1,S2,S3] :
( ( nota(S1,S3)
& isa(S1,S2) )
=> nota(S2,S3) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [S1,S2,S3] :
( ~ nota(S2,S3)
& nota(S1,S3)
& isa(S1,S2) ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
( ~ nota(sk29,sk30)
& nota(sk28,sk30)
& isa(sk28,sk29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk28,sk29,sk30])],[f13_nnf]) ).
cnf(c40,plain,
nota(sk28,sk30),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p59,plain,
status(sk4(sk28,sk30),sk5(sk28,sk30),sk28),
inference(resolution,[status(thm)],[c7,c40]) ).
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(c5,plain,
( ~ isa(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p61,plain,
( ~ isa(sk28,X0)
| status(sk4(sk28,sk30),sk5(sk28,sk30),X0) ),
inference(resolution,[status(thm)],[p59,c5]) ).
cnf(c39,plain,
isa(sk28,sk29),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p68,plain,
status(sk4(sk28,sk30),sk5(sk28,sk30),sk29),
inference(resolution,[status(thm)],[p61,c39]) ).
cnf(c6,plain,
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p71,plain,
( nota(sk29,X0)
| status(sk4(sk28,sk30),sk5(sk28,sk30),X0) ),
inference(resolution,[status(thm)],[p68,c6]) ).
cnf(c8,plain,
( ~ nota(X0,X1)
| ~ status(sk4(X0,X1),sk5(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p134,plain,
( ~ nota(sk28,sk30)
| nota(sk29,sk30) ),
inference(resolution,[status(thm)],[p71,c8]) ).
cnf(p141,plain,
nota(sk29,sk30),
inference(resolution,[status(thm)],[p134,c40]) ).
cnf(c41,plain,
~ nota(sk29,sk30),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p142,plain,
$false,
inference(resolution,[status(thm)],[p141,c41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 19:37:58 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.05/1.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.05/1.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------