%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT003-4 : 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 : n027.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 2.40s 0.72s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_g_equals_h)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
g != h,
inference(cnf,[status(esa)],[prove_g_equals_h]) ).
cnf(l0,plain,
g != h,
inference(instantiation,[status(thm)],[15]) ).
cnf(12,plain,
( compose(X0,compose(a,b)) != X1
| compose(X2,compose(a,b)) != X1
| X0 = X2 ),
inference(cnf,[status(esa)],[epimorphism]) ).
cnf(l3,plain,
( compose(h,compose(a,b)) != compose(g,compose(a,b))
| compose(g,compose(a,b)) != compose(g,compose(a,b))
| h = g ),
inference(instantiation,[status(thm)],[12]) ).
cnf(8,plain,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf,[status(esa)],[associativity_of_compose]) ).
cnf(l10,plain,
compose(h,compose(a,b)) = compose(compose(h,a),b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l30,plain,
compose(g,compose(a,b)) = compose(compose(g,a),b),
inference(instantiation,[status(thm)],[8]) ).
cnf(14,plain,
compose(h,a) = compose(g,a),
inference(cnf,[status(esa)],[ha_equals_ga]) ).
cnf(l26,plain,
compose(h,a) = compose(g,a),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l10,l30,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT003-4 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 05:11:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 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: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 2.40/0.72 % SZS status Theorem for theBenchmark
% 2.40/0.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------