%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD025-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 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 11:55:18 AM UTC 2025
% Result : Unsatisfiable 36.31s 4.93s
% Output : CNFRefutation 36.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named a_equals_b_7)
% Comments :
%------------------------------------------------------------------------------
cnf(33,plain,
equalish(a,b),
inference(cnf,[status(esa)],[a_equals_b_7]) ).
cnf(l0,plain,
equalish(a,b),
inference(instantiation,[status(thm)],[33]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l1,plain,
( ~ equalish(a,b)
| equalish(b,a) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l2,plain,
( ~ equalish(add(additive_identity,b),b)
| ~ equalish(b,a)
| equalish(add(additive_identity,b),a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(1,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l3,plain,
( ~ defined(b)
| equalish(add(additive_identity,b),b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l228,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
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(l675,plain,
( ~ defined(c)
| ~ equalish(add(additive_identity,b),a)
| equalish(multiply(add(additive_identity,b),c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l676,plain,
( ~ equalish(multiply(add(additive_identity,b),c),multiply(a,c))
| ~ equalish(multiply(a,c),v)
| equalish(multiply(add(additive_identity,b),c),v) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l677,plain,
( ~ equalish(multiply(add(additive_identity,b),c),v)
| equalish(v,multiply(add(additive_identity,b),c)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l688,plain,
( ~ equalish(v,multiply(add(additive_identity,b),c))
| ~ equalish(multiply(add(additive_identity,b),c),multiply(a,c))
| equalish(v,multiply(a,c)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(29,plain,
defined(c),
inference(cnf,[status(esa)],[c_is_defined]) ).
cnf(l678,plain,
defined(c),
inference(instantiation,[status(thm)],[29]) ).
cnf(l770,plain,
( ~ equalish(v,multiply(a,c))
| ~ equalish(multiply(a,c),u)
| equalish(v,u) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(37,plain,
~ equalish(v,u),
inference(cnf,[status(esa)],[v_not_equal_to_u_11]) ).
cnf(l777,plain,
~ equalish(v,u),
inference(instantiation,[status(thm)],[37]) ).
cnf(35,plain,
equalish(multiply(a,c),u),
inference(cnf,[status(esa)],[multiply_equals_u_9]) ).
cnf(l792,plain,
equalish(multiply(a,c),u),
inference(instantiation,[status(thm)],[35]) ).
cnf(l681,plain,
( ~ equalish(multiply(a,c),multiply(c,b))
| ~ equalish(multiply(c,b),v)
| equalish(multiply(a,c),v) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l706,plain,
( ~ equalish(multiply(c,b),multiply(d,b))
| ~ equalish(multiply(d,b),v)
| equalish(multiply(c,b),v) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l683,plain,
( ~ equalish(multiply(a,c),multiply(b,c))
| ~ equalish(multiply(b,c),multiply(c,b))
| equalish(multiply(a,c),multiply(c,b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l701,plain,
( ~ defined(c)
| ~ equalish(a,b)
| equalish(multiply(a,c),multiply(b,c)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l707,plain,
( ~ defined(b)
| ~ equalish(c,d)
| equalish(multiply(c,b),multiply(d,b)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l793,plain,
defined(c),
inference(instantiation,[status(thm)],[29]) ).
cnf(36,plain,
equalish(multiply(d,b),v),
inference(cnf,[status(esa)],[multiply_equals_v_10]) ).
cnf(l737,plain,
equalish(multiply(d,b),v),
inference(instantiation,[status(thm)],[36]) ).
cnf(7,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l702,plain,
( ~ defined(b)
| ~ defined(c)
| equalish(multiply(b,c),multiply(c,b)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l758,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l805,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(34,plain,
equalish(c,d),
inference(cnf,[status(esa)],[c_equals_d_8]) ).
cnf(l782,plain,
equalish(c,d),
inference(instantiation,[status(thm)],[34]) ).
cnf(l801,plain,
defined(c),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l228,l675,l676,l677,l688,l678,l770,l777,l792,l681,l706,l683,l701,l707,l793,l737,l702,l758,l805,l782,l801]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : FLD025-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.13/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n027.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 09:38:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.20/0.34 % launching worker at depth: 10
% 0.20/0.38 % launching worker at depth: 11
% 5.90/1.11 % launching worker at depth: 12
% 36.31/4.93 % SZS status Theorem for theBenchmark
% 36.31/4.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------