%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT018-1 : 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 : Thu Jul 24 10:43:53 AM UTC 2025
% Result : Unsatisfiable 30.69s 4.18s
% Output : CNFRefutation 30.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_bc_exists)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
~ defined(a,compose(b,c)),
inference(cnf,[status(esa)],[prove_a_bc_exists]) ).
cnf(l0,plain,
~ defined(a,compose(b,c)),
inference(instantiation,[status(thm)],[20]) ).
cnf(8,plain,
( ~ defined(X0,X1)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| defined(X0,X2) ),
inference(cnf,[status(esa)],[category_theory_axiom6]) ).
cnf(l1,plain,
( ~ defined(a,codomain(codomain(b)))
| ~ defined(codomain(codomain(b)),compose(b,c))
| ~ identity_map(codomain(codomain(b)))
| defined(a,compose(b,c)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
identity_map(codomain(X0)),
inference(cnf,[status(esa)],[codomain_is_an_identity_map]) ).
cnf(l4,plain,
identity_map(codomain(codomain(b))),
inference(instantiation,[status(thm)],[10]) ).
cnf(5,plain,
( ~ defined(X0,X1)
| ~ product(X2,X3,X1)
| defined(X0,X2) ),
inference(cnf,[status(esa)],[category_theory_axiom3]) ).
cnf(l2,plain,
( ~ defined(a,codomain(b))
| ~ product(codomain(codomain(b)),codomain(b),codomain(b))
| defined(a,codomain(codomain(b))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(15,plain,
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
inference(cnf,[status(esa)],[identity1]) ).
cnf(l7,plain,
( ~ defined(codomain(codomain(b)),codomain(b))
| ~ identity_map(codomain(codomain(b)))
| product(codomain(codomain(b)),codomain(b),codomain(b)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l28,plain,
identity_map(codomain(codomain(b))),
inference(instantiation,[status(thm)],[10]) ).
cnf(12,plain,
defined(codomain(X0),X0),
inference(cnf,[status(esa)],[mapping_from_codomain_of_x_to_x]) ).
cnf(l16,plain,
defined(codomain(codomain(b)),codomain(b)),
inference(instantiation,[status(thm)],[12]) ).
cnf(3,plain,
( ~ defined(X0,X1)
| ~ product(X2,X3,X0)
| ~ product(X3,X1,X4)
| defined(X2,X4) ),
inference(cnf,[status(esa)],[category_theory_axiom1]) ).
cnf(l3,plain,
( ~ defined(b,c)
| ~ product(codomain(codomain(b)),b,b)
| ~ product(b,c,compose(b,c))
| defined(codomain(codomain(b)),compose(b,c)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
( ~ defined(a,b)
| ~ product(codomain(b),b,b)
| defined(a,codomain(b)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(18,plain,
defined(a,b),
inference(cnf,[status(esa)],[assume_ab_exists]) ).
cnf(l25,plain,
defined(a,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(4,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[category_theory_axiom2]) ).
cnf(l8,plain,
( ~ product(codomain(codomain(b)),codomain(b),codomain(b))
| ~ product(codomain(b),b,b)
| ~ product(codomain(b),b,b)
| product(codomain(codomain(b)),b,b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(14,plain,
product(codomain(X0),X0,X0),
inference(cnf,[status(esa)],[product_on_codomain]) ).
cnf(l43,plain,
product(codomain(b),b,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(l11,plain,
product(codomain(codomain(b)),codomain(b),codomain(b)),
inference(instantiation,[status(thm)],[14]) ).
cnf(l27,plain,
product(codomain(b),b,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(l23,plain,
product(codomain(b),b,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(0,plain,
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
inference(cnf,[status(esa)],[closure_of_composition]) ).
cnf(l12,plain,
( ~ defined(b,c)
| product(b,c,compose(b,c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(19,plain,
defined(b,c),
inference(cnf,[status(esa)],[assume_bc_exists]) ).
cnf(l14,plain,
defined(b,c),
inference(instantiation,[status(thm)],[19]) ).
cnf(l18,plain,
defined(b,c),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l7,l28,l16,l3,l13,l25,l8,l43,l11,l27,l23,l12,l14,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT018-1 : 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
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 05:17:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.18/0.47 % launching worker at depth: 11
% 30.69/4.18 % SZS status Theorem for theBenchmark
% 30.69/4.18 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------