%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET031-4 : 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 : n019.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 03:31:13 PM UTC 2025
% Result : Unsatisfiable 0.07s 0.31s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_composition_is_a_relation)
% Comments :
%------------------------------------------------------------------------------
cnf(141,plain,
~ relation(compose(a,b)),
inference(cnf,[status(esa)],[prove_composition_is_a_relation]) ).
cnf(l0,plain,
~ relation(compose(a,b)),
inference(instantiation,[status(thm)],[141]) ).
cnf(77,plain,
( ~ ordered_pair_predicate(f18(X0))
| relation(X0) ),
inference(cnf,[status(esa)],[relation3]) ).
cnf(l1,plain,
( ~ ordered_pair_predicate(f18(compose(a,b)))
| relation(compose(a,b)) ),
inference(instantiation,[status(thm)],[77]) ).
cnf(13,plain,
( ~ little_set(X0)
| ~ little_set(X1)
| X2 != ordered_pair(X0,X1)
| ordered_pair_predicate(X2) ),
inference(cnf,[status(esa)],[ordered_pair_predicate4]) ).
cnf(l2,plain,
( ~ little_set(f29(f18(compose(a,b)),a,b))
| ~ little_set(f30(f18(compose(a,b)),a,b))
| f18(compose(a,b)) != ordered_pair(f29(f18(compose(a,b)),a,b),f30(f18(compose(a,b)),a,b))
| ordered_pair_predicate(f18(compose(a,b))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(130,plain,
( ~ member(X0,compose(X1,X2))
| X0 = ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) ),
inference(cnf,[status(esa)],[compose4]) ).
cnf(l15,plain,
( ~ member(f18(compose(a,b)),compose(a,b))
| f18(compose(a,b)) = ordered_pair(f29(f18(compose(a,b)),a,b),f30(f18(compose(a,b)),a,b)) ),
inference(instantiation,[status(thm)],[130]) ).
cnf(127,plain,
( ~ member(X0,compose(X1,X2))
| little_set(f29(X0,X1,X2)) ),
inference(cnf,[status(esa)],[compose1]) ).
cnf(l3,plain,
( ~ member(f18(compose(a,b)),compose(a,b))
| little_set(f29(f18(compose(a,b)),a,b)) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(128,plain,
( ~ member(X0,compose(X1,X2))
| little_set(f30(X0,X1,X2)) ),
inference(cnf,[status(esa)],[compose2]) ).
cnf(l4,plain,
( ~ member(f18(compose(a,b)),compose(a,b))
| little_set(f30(f18(compose(a,b)),a,b)) ),
inference(instantiation,[status(thm)],[128]) ).
cnf(76,plain,
( member(f18(X0),X0)
| relation(X0) ),
inference(cnf,[status(esa)],[relation2]) ).
cnf(l18,plain,
( member(f18(compose(a,b)),compose(a,b))
| relation(compose(a,b)) ),
inference(instantiation,[status(thm)],[76]) ).
cnf(l6,plain,
( member(f18(compose(a,b)),compose(a,b))
| relation(compose(a,b)) ),
inference(instantiation,[status(thm)],[76]) ).
cnf(l7,plain,
( member(f18(compose(a,b)),compose(a,b))
| relation(compose(a,b)) ),
inference(instantiation,[status(thm)],[76]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l15,l3,l4,l18,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SET031-4 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Jul 21 19:26:04 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.07/0.29 % launching worker at depth: 11
% 0.07/0.31 % SZS status Theorem for theBenchmark
% 0.07/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------