%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN012-1 : TPTP v9.0.0. Released v1.1.0.
% 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 : Fri Jul 25 09:26:37 PM UTC 2025
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_4)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
( big_f(X0,X1)
| big_f(g(X0,X1),g(X0,X1)) ),
inference(cnf,[status(esa)],[clause_4]) ).
cnf(l0,plain,
( big_f(X0_87,X0_87)
| big_f(g(X0_87,X0_87),g(X0_87,X0_87)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ big_f(X0,X1)
| ~ big_f(X0,g(X0,X1))
| big_g(X1,g(X0,X1)) ),
inference(cnf,[status(esa)],[clause_1]) ).
cnf(l2,plain,
( ~ big_f(g(X0_87,X0_87),g(X0_87,X0_87))
| ~ big_f(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))
| big_g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ big_g(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf,[status(esa)],[clause_7]) ).
cnf(l7,plain,
( ~ big_g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))
| ~ big_g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1))
| big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf,[status(esa)],[clause_3]) ).
cnf(l9,plain,
( ~ big_f(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))
| ~ big_f(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))))
| big_g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( ~ big_g(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
inference(cnf,[status(esa)],[clause_5]) ).
cnf(l6,plain,
( ~ big_g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))))
| big_f(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ big_f(X0,X1)
| ~ big_g(X1,g(X0,X1))
| big_f(X0,g(X0,X1)) ),
inference(cnf,[status(esa)],[clause_2]) ).
cnf(l38,plain,
( ~ big_f(g(X0_87,X0_87),g(X0_87,X0_87))
| ~ big_g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))
| big_f(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( big_g(X0,X1)
| big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf,[status(esa)],[clause_6]) ).
cnf(l35,plain,
( big_g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))
| big_g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l36,plain,
( ~ big_f(g(X0_87,X0_87),g(X0_87,X0_87))
| ~ big_g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))
| big_f(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l37,plain,
( ~ big_g(g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))),g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))))
| big_f(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l40,plain,
( big_g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))))
| big_g(g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87)))),g(g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))),g(g(X0_87,X0_87),g(g(X0_87,X0_87),g(X0_87,X0_87))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1,plain,
( ~ big_f(X0_87,X0_87)
| ~ big_f(X0_87,g(X0_87,X0_87))
| big_g(X0_87,g(X0_87,X0_87)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ big_g(X0_87,g(X0_87,X0_87))
| ~ big_g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l13,plain,
( ~ big_f(X0_87,g(X0_87,X0_87))
| ~ big_f(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87)))
| big_g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l64,plain,
( ~ big_f(X0_87,X0_87)
| ~ big_g(X0_87,g(X0_87,X0_87))
| big_f(X0_87,g(X0_87,X0_87)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l21,plain,
( ~ big_g(g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))),g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))))
| big_f(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l50,plain,
( ~ big_f(X0_87,X0_87)
| ~ big_g(X0_87,g(X0_87,X0_87))
| big_f(X0_87,g(X0_87,X0_87)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l84,plain,
( big_g(X0_87,g(X0_87,X0_87))
| big_g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l23,plain,
( big_g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87)))
| big_g(g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87))),g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l87,plain,
( ~ big_g(g(X0_87,g(X0_87,X0_87)),g(X0_87,g(X0_87,X0_87)))
| big_f(X0_87,g(X0_87,X0_87)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l7,l9,l6,l38,l35,l36,l37,l40,l1,l4,l13,l64,l21,l50,l84,l23,l87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN012-1 : TPTP v9.0.0. Released v1.1.0.
% 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Jul 22 15:24:49 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.27 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.07/0.27 % launching worker at depth: 11
% 0.11/0.31 % launching worker at depth: 12
% 0.11/0.38 % SZS status Theorem for theBenchmark
% 0.11/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------