%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS180+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 : n018.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 6.31s 1.44s
% Output : Proof 6.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 136 ( 51 ~; 49 |; 27 &)
% ( 4 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 98 ( 11 sgn 54 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
<~> status(Ax,C,S2) )
<=> xora(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xora) ).
fof(f4_nnf,plain,
! [S1,S2] :
( ( ~ xora(S1,S2)
| ! [Ax,C] :
( ( status(Ax,C,S2)
& ~ status(Ax,C,S1) )
| ( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) )
& ( xora(S1,S2)
| ? [Ax,C] :
( ( ~ status(Ax,C,S2)
| status(Ax,C,S1) )
& ( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [S1,S2,Ax,C] :
( ( ~ xora(S1,S2)
| ( status(Ax,C,S2)
& ~ status(Ax,C,S1) )
| ( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ( xora(S1,S2)
| ( ( ~ status(sk8(S1,S2),sk9(S1,S2),S2)
| status(sk8(S1,S2),sk9(S1,S2),S1) )
& ( status(sk8(S1,S2),sk9(S1,S2),S2)
| ~ status(sk8(S1,S2),sk9(S1,S2),S1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8,sk9])],[f4_nnf]) ).
cnf(c16,plain,
( ~ xora(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
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]) ).
fof(f13,conjecture,
! [S1,S2] :
? [Ax,C] :
( status(Ax,C,S1)
=> ~ ( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_exclusive) ).
fof(f13_neg,negated_conjecture,
~ ! [S1,S2] :
? [Ax,C] :
( status(Ax,C,S1)
=> ~ ( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [S1,S2] :
! [Ax,C] :
( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2)
& status(Ax,C,S1) ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
! [Ax,C] :
( ( xora(sk28,sk29)
| nevera(sk28,sk29)
| nota(sk28,sk29) )
& isa(sk28,sk29)
& status(Ax,C,sk28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk28,sk29])],[f13_nnf]) ).
cnf(c39,plain,
status(X2,X3,sk28),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p50,plain,
( ~ isa(sk28,X2)
| status(X0,X1,X2) ),
inference(resolution,[status(thm)],[c5,c39]) ).
cnf(c40,plain,
isa(sk28,sk29),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p52,plain,
status(X0,X1,sk29),
inference(resolution,[status(thm)],[p50,c40]) ).
cnf(p132,plain,
( ~ xora(X2,sk29)
| ~ status(X0,X1,X2) ),
inference(resolution,[status(thm)],[c16,p52]) ).
cnf(p144,plain,
~ xora(sk28,sk29),
inference(resolution,[status(thm)],[p132,c39]) ).
cnf(c41,plain,
( xora(sk28,sk29)
| nevera(sk28,sk29)
| nota(sk28,sk29) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p151,plain,
( nevera(sk28,sk29)
| nota(sk28,sk29) ),
inference(resolution,[status(thm)],[p144,c41]) ).
fof(f3,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> ~ status(Ax,C,S2) )
<=> nevera(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera) ).
fof(f3_nnf,plain,
! [S1,S2] :
( ( ~ nevera(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ( nevera(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [S1,S2,Ax,C] :
( ( ~ nevera(S1,S2)
| ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ( nevera(S1,S2)
| ( status(sk6(S1,S2),sk7(S1,S2),S2)
& status(sk6(S1,S2),sk7(S1,S2),S1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6,sk7])],[f3_nnf]) ).
cnf(c11,plain,
( ~ nevera(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p90,plain,
( ~ nevera(sk28,X2)
| ~ status(X0,X1,X2) ),
inference(resolution,[status(thm)],[c11,c39]) ).
cnf(p99,plain,
~ nevera(sk28,sk29),
inference(resolution,[status(thm)],[p90,p52]) ).
cnf(p152,plain,
nota(sk28,sk29),
inference(resolution,[status(thm)],[p151,p99]) ).
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(c8,plain,
( ~ nota(X0,X1)
| ~ status(sk4(X0,X1),sk5(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p70,plain,
~ nota(X0,sk29),
inference(resolution,[status(thm)],[c8,p52]) ).
cnf(p153,plain,
$false,
inference(resolution,[status(thm)],[p152,p70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS180+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:39:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.31/1.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.31/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------