%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT019-3 : 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 : n023.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 10:43:54 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_equals_b)
% Comments :
%------------------------------------------------------------------------------
cnf(19,plain,
a != b,
inference(cnf,[status(esa)],[prove_a_equals_b]) ).
cnf(l0,plain,
a != b,
inference(instantiation,[status(thm)],[19]) ).
cnf(15,plain,
( X0 = X1
| X0 = f1(X0,X1)
| X1 = f1(X0,X1) ),
inference(cnf,[status(esa)],[indiscernibles2]) ).
cnf(l1,plain,
( a = b
| a = f1(a,b)
| b = f1(a,b) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
( ~ there_exists(X0)
| b != X0
| a = X0 ),
inference(cnf,[status(esa)],[equality_of_a_and_b2]) ).
cnf(l2,plain,
( ~ there_exists(f1(a,b))
| b != f1(a,b)
| a = f1(a,b) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(14,plain,
( there_exists(f1(X0,X1))
| X0 = X1 ),
inference(cnf,[status(esa)],[indiscernibles1]) ).
cnf(l8,plain,
( there_exists(f1(a,b))
| a = b ),
inference(instantiation,[status(thm)],[14]) ).
cnf(16,plain,
( X0 != f1(X0,X1)
| X1 != f1(X0,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[indiscernibles3]) ).
cnf(l6,plain,
( a != f1(a,b)
| b != f1(a,b)
| a = b ),
inference(instantiation,[status(thm)],[16]) ).
cnf(17,plain,
( ~ there_exists(X0)
| a != X0
| b = X0 ),
inference(cnf,[status(esa)],[equality_of_a_and_b1]) ).
cnf(l3,plain,
( ~ there_exists(f1(a,b))
| a != f1(a,b)
| b = f1(a,b) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l10,plain,
( there_exists(f1(a,b))
| a = b ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l4,plain,
( a != f1(a,b)
| b != f1(a,b)
| a = b ),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l6,l3,l10,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CAT019-3 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 05:18:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------