%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET041-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:31:15 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_apply_for_composition3)
% Comments :
%------------------------------------------------------------------------------
cnf(168,plain,
apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a),
inference(cnf,[status(esa)],[prove_apply_for_composition3]) ).
cnf(l0,plain,
apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a),
inference(instantiation,[status(thm)],[168]) ).
cnf(144,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[two_sets_equal]) ).
cnf(l1,plain,
( ~ subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a))
| ~ subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a)))
| apply(another_function,apply(a_function,a)) = apply(compose(another_function,a_function),a) ),
inference(instantiation,[status(thm)],[144]) ).
cnf(165,plain,
( ~ function(X0)
| subset(apply(compose(X1,X0),X2),apply(X1,apply(X0,X2))) ),
inference(cnf,[status(esa)],[apply_for_composition2]) ).
cnf(l11,plain,
( ~ function(a_function)
| subset(apply(compose(another_function,a_function),a),apply(another_function,apply(a_function,a))) ),
inference(instantiation,[status(thm)],[165]) ).
cnf(166,plain,
function(a_function),
inference(cnf,[status(esa)],[a_function]) ).
cnf(l12,plain,
function(a_function),
inference(instantiation,[status(thm)],[166]) ).
cnf(164,plain,
( ~ member(X0,domain_of(X1))
| ~ function(X1)
| subset(apply(X2,apply(X1,X0)),apply(compose(X2,X1),X0)) ),
inference(cnf,[status(esa)],[apply_for_composition1]) ).
cnf(l2,plain,
( ~ member(a,domain_of(a_function))
| ~ function(a_function)
| subset(apply(another_function,apply(a_function,a)),apply(compose(another_function,a_function),a)) ),
inference(instantiation,[status(thm)],[164]) ).
cnf(l3,plain,
function(a_function),
inference(instantiation,[status(thm)],[166]) ).
cnf(167,plain,
member(a,domain_of(a_function)),
inference(cnf,[status(esa)],[member_of_domain]) ).
cnf(l4,plain,
member(a,domain_of(a_function)),
inference(instantiation,[status(thm)],[167]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l12,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET041-3 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:33:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------