%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET576+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 02:43:29 PM UTC 2026
% Result : Theorem 0.15s 6.04s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 26 ~; 16 |; 9 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
! [B,C] :
( ! [D] :
( member(D,B)
=> ~ member(D,C) )
=> disjoint(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th17) ).
fof(f3_neg,negated_conjecture,
~ ! [B,C] :
( ! [D] :
( member(D,B)
=> ~ member(D,C) )
=> disjoint(B,C) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [B,C] :
( ~ disjoint(B,C)
& ! [D] :
( ~ member(D,C)
| ~ member(D,B) ) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
! [D] :
( ~ disjoint(sk1,sk2)
& ( ~ member(D,sk2)
| ~ member(D,sk1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2])],[f3_nnf]) ).
cnf(c6,plain,
( ~ member(X2,sk2)
| ~ member(X2,sk1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f0,axiom,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,C)
& member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
fof(f0_nnf,plain,
! [B,C] :
( ( ! [D] :
( ~ member(D,C)
| ~ member(D,B) )
| intersect(B,C) )
& ( ? [D] :
( member(D,C)
& member(D,B) )
| ~ intersect(B,C) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [B,C,D] :
( ( ~ member(D,C)
| ~ member(D,B)
| intersect(B,C) )
& ( ( member(sk0(B,C),C)
& member(sk0(B,C),B) )
| ~ intersect(B,C) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( member(sk0(X0,X1),X0)
| ~ intersect(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f1,axiom,
! [B,C] :
( disjoint(B,C)
<=> ~ intersect(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
fof(f1_nnf,plain,
! [B,C] :
( ( intersect(B,C)
| disjoint(B,C) )
& ( ~ intersect(B,C)
| ~ disjoint(B,C) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [B,C] :
( ( intersect(B,C)
| disjoint(B,C) )
& ( ~ intersect(B,C)
| ~ disjoint(B,C) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c4,plain,
( intersect(X0,X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(c7,plain,
~ disjoint(sk1,sk2),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p8,plain,
intersect(sk1,sk2),
inference(resolution,[status(thm)],[c4,c7]) ).
cnf(p9,plain,
member(sk0(sk1,sk2),sk1),
inference(resolution,[status(thm)],[c0,p8]) ).
cnf(p14,plain,
~ member(sk0(sk1,sk2),sk2),
inference(resolution,[status(thm)],[c6,p9]) ).
cnf(c1,plain,
( member(sk0(X0,X1),X1)
| ~ intersect(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
member(sk0(sk1,sk2),sk2),
inference(resolution,[status(thm)],[c1,p8]) ).
cnf(p16,plain,
$false,
inference(resolution,[status(thm)],[p14,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET576+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/5.38 % Computer : n014.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Thu Sep 24 11:19:40 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/6.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/6.04 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------