%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU128+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 02:51:01 PM UTC 2026
% Result : Theorem 0.15s 22.02s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 96 ( 6 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 103 ( 35 ~; 39 |; 23 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 27 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,B)
& in(D,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f3_nnf,plain,
! [A,B,C] :
( ( ? [D] :
( ( in(D,B)
& in(D,A)
& ~ in(D,C) )
| ( ( ~ in(D,B)
| ~ in(D,A) )
& in(D,C) ) )
| C = set_intersection2(A,B) )
& ( ! [D] :
( ( ~ in(D,B)
| ~ in(D,A)
| in(D,C) )
& ( ( in(D,B)
& in(D,A) )
| ~ in(D,C) ) )
| C != set_intersection2(A,B) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [C,A,B,D] :
( ( ( in(sk1(A,B,C),B)
& in(sk1(A,B,C),A)
& ~ in(sk1(A,B,C),C) )
| ( ( ~ in(sk1(A,B,C),B)
| ~ in(sk1(A,B,C),A) )
& in(sk1(A,B,C),C) )
| C = set_intersection2(A,B) )
& ( ( ( ~ in(D,B)
| ~ in(D,A)
| in(D,C) )
& ( ( in(D,B)
& in(D,A) )
| ~ in(D,C) ) )
| C != set_intersection2(A,B) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f3_nnf]) ).
cnf(c7,plain,
( ~ in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2)
| X2 != set_intersection2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p52,plain,
( ~ in(X0,X2)
| ~ in(X0,X1)
| in(X0,set_intersection2(X1,X2)) ),
inference(equality_resolution,[status(thm)],[c7]) ).
fof(f2,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f2_nnf,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C] :
( ( ( ~ in(sk0(A,B),B)
& in(sk0(A,B),A) )
| subset(A,B) )
& ( in(C,B)
| ~ in(C,A)
| ~ subset(A,B) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).
cnf(c3,plain,
( in(sk0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(c2,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f11,conjecture,
! [A,B,C] :
( ( subset(A,C)
& subset(A,B) )
=> subset(A,set_intersection2(B,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f11_neg,negated_conjecture,
~ ! [A,B,C] :
( ( subset(A,C)
& subset(A,B) )
=> subset(A,set_intersection2(B,C)) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
? [A,B,C] :
( ~ subset(A,set_intersection2(B,C))
& subset(A,C)
& subset(A,B) ),
inference(nnf_transformation,[status(thm)],[f11_neg]) ).
fof(f11_sk,plain,
( ~ subset(sk4,set_intersection2(sk5,sk6))
& subset(sk4,sk6)
& subset(sk4,sk5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6])],[f11_nnf]) ).
cnf(c22,plain,
subset(sk4,sk6),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p31,plain,
( in(X0,sk6)
| ~ in(X0,sk4) ),
inference(resolution,[status(thm)],[c2,c22]) ).
cnf(p35,plain,
( in(sk0(sk4,X0),sk6)
| subset(sk4,X0) ),
inference(resolution,[status(thm)],[c3,p31]) ).
cnf(p161,plain,
( subset(sk4,X0)
| ~ in(sk0(sk4,X0),X1)
| in(sk0(sk4,X0),set_intersection2(sk6,X1)) ),
inference(resolution,[status(thm)],[p52,p35]) ).
cnf(c21,plain,
subset(sk4,sk5),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p32,plain,
( in(X0,sk5)
| ~ in(X0,sk4) ),
inference(resolution,[status(thm)],[c2,c21]) ).
cnf(p36,plain,
( in(sk0(sk4,X0),sk5)
| subset(sk4,X0) ),
inference(resolution,[status(thm)],[c3,p32]) ).
cnf(p367,plain,
( subset(sk4,X0)
| subset(sk4,X0)
| in(sk0(sk4,X0),set_intersection2(sk5,sk6)) ),
inference(resolution,[status(thm)],[p161,p36]) ).
cnf(p484,plain,
( subset(sk4,X0)
| in(sk0(sk4,X0),set_intersection2(sk5,sk6)) ),
inference(factoring,[status(thm)],[p367]) ).
cnf(c4,plain,
( ~ in(sk0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p486,plain,
( subset(sk4,set_intersection2(sk5,sk6))
| subset(sk4,set_intersection2(sk5,sk6)) ),
inference(resolution,[status(thm)],[p484,c4]) ).
cnf(p491,plain,
subset(sk4,set_intersection2(sk5,sk6)),
inference(factoring,[status(thm)],[p486]) ).
cnf(c23,plain,
~ subset(sk4,set_intersection2(sk5,sk6)),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p492,plain,
$false,
inference(resolution,[status(thm)],[p491,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU128+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/21.23 % Computer : n013.cluster.edu
% 0.10/21.23 % Model : x86_64 x86_64
% 0.10/21.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/21.23 % Memory : 8046.5625MB
% 0.10/21.23 % OS : Linux 6.8.0-71-generic
% 0.10/21.23 % CPULimit : 300
% 0.10/21.23 % WCLimit : 300
% 0.10/21.23 % DateTime : Thu Sep 24 12:50:46 UTC 2026
% 0.10/21.23 % CPUTime :
% 0.10/21.23 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/22.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/22.02 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------