%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD030-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 11:55:19 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiply_equals_c_5)
% Comments :
%------------------------------------------------------------------------------
cnf(31,plain,
equalish(multiply(a,b),c),
inference(cnf,[status(esa)],[multiply_equals_c_5]) ).
cnf(l0,plain,
equalish(multiply(a,b),c),
inference(instantiation,[status(thm)],[31]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l1,plain,
( ~ equalish(multiply(a,b),c)
| ~ equalish(c,multiply(d,b))
| equalish(multiply(a,b),multiply(d,b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l4,plain,
( ~ equalish(c,multiply(a,b))
| ~ equalish(multiply(a,b),multiply(d,b))
| equalish(c,multiply(d,b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l2,plain,
( ~ equalish(c,multiply(a,b))
| ~ equalish(multiply(a,b),multiply(d,b))
| equalish(c,multiply(d,b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l3,plain,
( ~ equalish(multiply(a,b),c)
| equalish(c,multiply(a,b)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(24,plain,
( ~ defined(X0)
| ~ equalish(X1,X2)
| equalish(multiply(X1,X0),multiply(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_multiplication]) ).
cnf(l8,plain,
( ~ defined(b)
| ~ equalish(a,d)
| equalish(multiply(a,b),multiply(d,b)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l6,plain,
( ~ equalish(c,multiply(d,b))
| equalish(multiply(d,b),c) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l7,plain,
( ~ equalish(multiply(a,b),c)
| equalish(c,multiply(a,b)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l13,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(33,plain,
~ equalish(multiply(d,b),c),
inference(cnf,[status(esa)],[multiply_not_equal_to_c_7]) ).
cnf(l22,plain,
~ equalish(multiply(d,b),c),
inference(instantiation,[status(thm)],[33]) ).
cnf(32,plain,
equalish(a,d),
inference(cnf,[status(esa)],[a_equals_d_6]) ).
cnf(l9,plain,
equalish(a,d),
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l3,l8,l6,l7,l13,l22,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : FLD030-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n028.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sun Jul 20 09:39:19 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.27 % launching worker at depth: 10
% 0.06/0.28 % launching worker at depth: 11
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------