%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT004-4 : 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 : 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 : Thu Jul 24 10:43:50 AM UTC 2025
% Result : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_h_equals_g)
% Comments :
%------------------------------------------------------------------------------
cnf(16,plain,
h != g,
inference(cnf,[status(esa)],[prove_h_equals_g]) ).
cnf(l0,plain,
h != g,
inference(instantiation,[status(thm)],[16]) ).
cnf(12,plain,
( compose(X0,a) != X1
| compose(X2,a) != X1
| X0 = X2 ),
inference(cnf,[status(esa)],[cancellation_for_product1]) ).
cnf(l1,plain,
( compose(h,a) != compose(h,a)
| compose(g,a) != compose(h,a)
| h = g ),
inference(instantiation,[status(thm)],[12]) ).
cnf(13,plain,
( compose(X0,b) != X1
| compose(X2,b) != X1
| X0 = X2 ),
inference(cnf,[status(esa)],[cancellation_for_product2]) ).
cnf(l2,plain,
( compose(compose(g,a),b) != compose(g,compose(a,b))
| compose(compose(h,a),b) != compose(g,compose(a,b))
| compose(g,a) = compose(h,a) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l5,plain,
( compose(compose(compose(g,a),b),b) != compose(compose(compose(g,a),b),b)
| compose(compose(g,compose(a,b)),b) != compose(compose(compose(g,a),b),b)
| compose(compose(g,a),b) = compose(g,compose(a,b)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(8,plain,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf,[status(esa)],[associativity_of_compose]) ).
cnf(l16,plain,
compose(g,compose(a,b)) = compose(compose(g,a),b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l7,plain,
compose(h,compose(a,b)) = compose(compose(h,a),b),
inference(instantiation,[status(thm)],[8]) ).
cnf(15,plain,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
inference(cnf,[status(esa)],[h_ab_equals_g_ab]) ).
cnf(l10,plain,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l16,l7,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : CAT004-4 : 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 : n019.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 05:11:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------