%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT003-2 : 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 : n020.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 10:43:49 AM UTC 2025
% Result : Unsatisfiable 13.00s 1.97s
% Output : CNFRefutation 13.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_g_equals_h)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
g != h,
inference(cnf,[status(esa)],[prove_g_equals_h]) ).
cnf(l0,plain,
g != h,
inference(instantiation,[status(thm)],[12]) ).
cnf(7,plain,
( codomain(compose(a,b)) != domain(X0)
| codomain(compose(a,b)) != domain(X1)
| compose(compose(a,b),X0) != X2
| compose(compose(a,b),X1) != X2
| X0 = X1 ),
inference(cnf,[status(esa)],[endomorphism]) ).
cnf(l1,plain,
( codomain(compose(a,b)) != domain(g)
| codomain(compose(a,b)) != domain(h)
| compose(compose(a,b),g) != compose(compose(a,b),g)
| compose(compose(a,b),h) != compose(compose(a,b),g)
| g = h ),
inference(instantiation,[status(thm)],[7]) ).
cnf(10,plain,
codomain(b) = domain(g),
inference(cnf,[status(esa)],[codomain_of_b_equals_domain_of_g]) ).
cnf(l6,plain,
codomain(b) = domain(g),
inference(instantiation,[status(thm)],[10]) ).
cnf(5,plain,
( codomain(X0) != domain(X1)
| codomain(compose(X0,X1)) = codomain(X1) ),
inference(cnf,[status(esa)],[codomain_domain2]) ).
cnf(l8,plain,
( codomain(a) != domain(b)
| codomain(compose(a,b)) = codomain(b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
compose(domain(X0),X0) = X0,
inference(cnf,[status(esa)],[domain_composition]) ).
cnf(l63,plain,
compose(domain(codomain(b)),codomain(b)) = codomain(b),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
( codomain(X0) != domain(X1)
| codomain(X1) != domain(X2)
| compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ),
inference(cnf,[status(esa)],[star_property]) ).
cnf(l188,plain,
( codomain(a) != domain(b)
| codomain(b) != domain(g)
| compose(a,compose(b,g)) = compose(compose(a,b),g) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
codomain(a) = domain(b),
inference(cnf,[status(esa)],[codomain_of_a_equals_domain_of_b]) ).
cnf(l195,plain,
codomain(a) = domain(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l189,plain,
codomain(b) = domain(g),
inference(instantiation,[status(thm)],[10]) ).
cnf(l20,plain,
compose(domain(codomain(b)),codomain(b)) = codomain(b),
inference(instantiation,[status(thm)],[2]) ).
cnf(l18,plain,
codomain(a) = domain(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(9,plain,
codomain(b) = domain(h),
inference(cnf,[status(esa)],[codomain_of_b_equals_domain_of_h]) ).
cnf(l84,plain,
codomain(b) = domain(h),
inference(instantiation,[status(thm)],[9]) ).
cnf(l19,plain,
( codomain(a) != domain(b)
| codomain(compose(a,b)) = codomain(b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l26,plain,
codomain(a) = domain(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l184,plain,
( codomain(a) != domain(b)
| codomain(b) != domain(h)
| compose(a,compose(b,h)) = compose(compose(a,b),h) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l200,plain,
codomain(b) = domain(h),
inference(instantiation,[status(thm)],[9]) ).
cnf(l209,plain,
codomain(a) = domain(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
compose(b,h) = compose(b,g),
inference(cnf,[status(esa)],[bh_equals_bg]) ).
cnf(l190,plain,
compose(b,h) = compose(b,g),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l8,l63,l188,l195,l189,l20,l18,l84,l19,l26,l184,l200,l209,l190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT003-2 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 : Sun Jul 20 05:10:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 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: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 2.43/0.65 % launching worker at depth: 12
% 13.00/1.97 % SZS status Theorem for theBenchmark
% 13.00/1.97 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------