%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET047-5 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:31:17 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_symmetry1)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
( set_equal(a,b)
| set_equal(b,a) ),
inference(cnf,[status(esa)],[prove_symmetry1]) ).
cnf(l0,plain,
( set_equal(a,b)
| set_equal(b,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ set_equal(X0,X1)
| ~ element(X2,X1)
| element(X2,X0) ),
inference(cnf,[status(esa)],[element_substitution2]) ).
cnf(l1,plain,
( ~ set_equal(a,b)
| ~ element(f(b,a),b)
| element(f(b,a),a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ set_equal(b,a)
| ~ element(f(a,b),a)
| element(f(a,b),b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( set_equal(X0,X1)
| element(f(X0,X1),X0)
| element(f(X0,X1),X1) ),
inference(cnf,[status(esa)],[clause_3]) ).
cnf(l3,plain,
( set_equal(b,a)
| element(f(b,a),b)
| element(f(b,a),a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ element(f(X0,X1),X0)
| ~ element(f(X0,X1),X1)
| set_equal(X0,X1) ),
inference(cnf,[status(esa)],[clause_4]) ).
cnf(l4,plain,
( ~ element(f(b,a),b)
| ~ element(f(b,a),a)
| set_equal(b,a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
inference(cnf,[status(esa)],[prove_symmetry2]) ).
cnf(l5,plain,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l7,plain,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ set_equal(X0,X1)
| ~ element(X2,X0)
| element(X2,X1) ),
inference(cnf,[status(esa)],[element_substitution1]) ).
cnf(l14,plain,
( ~ set_equal(a,b)
| ~ element(f(b,a),a)
| element(f(b,a),b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( set_equal(a,b)
| element(f(a,b),a)
| element(f(a,b),b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l11,plain,
( ~ set_equal(b,a)
| ~ element(f(a,b),b)
| element(f(a,b),a) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ set_equal(a,b)
| ~ element(f(b,a),a)
| element(f(b,a),b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l9,plain,
( ~ element(f(a,b),a)
| ~ element(f(a,b),b)
| set_equal(a,b) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l12,plain,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
( ~ set_equal(b,a)
| ~ element(f(a,b),b)
| element(f(a,b),a) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l7,l14,l6,l11,l8,l10,l9,l12,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET047-5 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 19:35:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
% 0.13/0.35 % launching worker at depth:
%------------------------------------------------------------------------------