%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 02:51:38 PM UTC 2026
% Result : Theorem 30.30s 4.81s
% Output : Proof 30.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 3 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f15_nnf,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c25,plain,
set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f127,axiom,
! [A,B] :
( finite(B)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_finset_1) ).
fof(f127_nnf,plain,
! [A,B] :
( finite(set_intersection2(A,B))
| ~ finite(B) ),
inference(nnf_transformation,[status(thm)],[f127]) ).
fof(f127_sk,plain,
! [B,A] :
( finite(set_intersection2(A,B))
| ~ finite(B) ),
inference(skolemisation,[status(esa)],[f127_nnf]) ).
cnf(c441,plain,
( finite(set_intersection2(X0,X1))
| ~ finite(X1) ),
inference(cnf_transformation,[status(esa)],[f127_sk]) ).
fof(f260,conjecture,
! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).
fof(f260_neg,negated_conjecture,
~ ! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
inference(negated_conjecture,[status(cth)],[f260]) ).
fof(f260_nnf,plain,
? [A,B] :
( ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(nnf_transformation,[status(thm)],[f260_neg]) ).
fof(f260_sk,plain,
( ~ finite(set_intersection2(sk232,sk233))
& finite(sk232) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk232,sk233])],[f260_nnf]) ).
cnf(c1353,plain,
finite(sk232),
inference(cnf_transformation,[status(esa)],[f260_sk]) ).
cnf(p1878,plain,
finite(set_intersection2(X0,sk232)),
inference(resolution,[status(thm)],[c441,c1353]) ).
cnf(p1880,plain,
finite(set_intersection2(sk232,X0)),
inference(superposition,[status(thm)],[c25,p1878]) ).
cnf(c1354,plain,
~ finite(set_intersection2(sk232,sk233)),
inference(cnf_transformation,[status(esa)],[f260_sk]) ).
cnf(p1882,plain,
$false,
inference(resolution,[status(thm)],[p1880,c1354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 13:35:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.30/4.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.30/4.81 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------