%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : TOP004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 03:54:38 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.79s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 6 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f112,negated_conjecture,
~ element_of_collection(intersection_of_sets(U,V),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1d_4) ).
fof(f112_nnf,plain,
! [U,V] : ~ element_of_collection(intersection_of_sets(U,V),top_of_basis(f)),
inference(nnf_transformation,[status(thm)],[f112]) ).
fof(f112_sk,plain,
! [U,V] : ~ element_of_collection(intersection_of_sets(U,V),top_of_basis(f)),
inference(skolemisation,[status(esa)],[f112_nnf]) ).
cnf(c112,plain,
~ element_of_collection(intersection_of_sets(X0,X1),top_of_basis(f)),
inference(cnf_transformation,[status(esa)],[f112_sk]) ).
cnf(f110,negated_conjecture,
element_of_collection(U,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1d_2) ).
fof(f110_nnf,plain,
! [U] : element_of_collection(U,top_of_basis(f)),
inference(nnf_transformation,[status(thm)],[f110]) ).
fof(f110_sk,plain,
! [U] : element_of_collection(U,top_of_basis(f)),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c110,plain,
element_of_collection(X0,top_of_basis(f)),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(p113,plain,
$false,
inference(resolution,[status(thm)],[c112,c110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.36 % Computer : n003.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Fri Sep 25 04:08:27 UTC 2026
% 0.11/5.36 % CPUTime :
% 0.11/5.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/5.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------