%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN334-1 : TPTP v9.0.0. Released v1.2.0.
% 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 09:27:26 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause4)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
( f(X0,X1)
| f(z(X0,X1),z(X0,X1)) ),
inference(cnf,[status(esa)],[clause4]) ).
cnf(l0,plain,
( f(X0_39,X0_39)
| f(z(X0_39,X0_39),z(X0_39,X0_39)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( ~ f(X0,X1)
| ~ f(X0,z(X0,X1))
| g(X1,z(X0,X1)) ),
inference(cnf,[status(esa)],[clause2]) ).
cnf(l1,plain,
( ~ f(X0_39,X0_39)
| ~ f(X0_39,z(X0_39,X0_39))
| g(X0_39,z(X0_39,X0_39)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
( ~ g(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
inference(cnf,[status(esa)],[clause7]) ).
cnf(l4,plain,
( ~ g(X0_39,z(X0_39,X0_39))
| ~ g(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( ~ g(z(X0,X1),z(X0,X1))
| f(X0,X1) ),
inference(cnf,[status(esa)],[clause5]) ).
cnf(l3,plain,
( ~ g(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39)))
| f(X0_39,z(X0_39,X0_39)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ f(X0,X1)
| ~ f(z(X0,X1),z(X0,X1))
| g(z(X0,X1),z(X0,X1)) ),
inference(cnf,[status(esa)],[clause3]) ).
cnf(l32,plain,
( ~ f(X0_39,z(X0_39,X0_39))
| ~ f(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39)))
| g(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l33,plain,
( ~ g(z(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))),z(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))))
| f(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( g(X0,X1)
| g(z(X0,X1),z(X0,X1)) ),
inference(cnf,[status(esa)],[clause6]) ).
cnf(l40,plain,
( g(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39)))
| g(z(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))),z(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l5,plain,
( g(X0_39,z(X0_39,X0_39))
| g(z(X0_39,z(X0_39,X0_39)),z(X0_39,z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ f(X0,X1)
| ~ g(X1,z(X0,X1))
| f(X0,z(X0,X1)) ),
inference(cnf,[status(esa)],[clause1]) ).
cnf(l9,plain,
( ~ f(X0_39,X0_39)
| ~ g(X0_39,z(X0_39,X0_39))
| f(X0_39,z(X0_39,X0_39)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ f(z(X0_39,X0_39),z(X0_39,X0_39))
| ~ f(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))
| g(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ g(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))
| ~ g(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l11,plain,
( ~ f(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))
| ~ f(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))))
| g(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l8,plain,
( ~ f(z(X0_39,X0_39),z(X0_39,X0_39))
| ~ g(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))
| f(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l39,plain,
( ~ f(X0_39,X0_39)
| ~ g(X0_39,z(X0_39,X0_39))
| f(X0_39,z(X0_39,X0_39)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
( ~ f(z(X0_39,X0_39),z(X0_39,X0_39))
| ~ g(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))
| f(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
( g(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))
| g(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
( ~ g(z(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))),z(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))))
| f(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l26,plain,
( g(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))))
| g(z(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39)))),z(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l17,plain,
( ~ g(z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))),z(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))))
| f(z(X0_39,X0_39),z(z(X0_39,X0_39),z(X0_39,X0_39))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l32,l33,l40,l5,l9,l2,l7,l11,l8,l39,l24,l16,l13,l26,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN334-1 : TPTP v9.0.0. Released v1.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n019.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 : Tue Jul 22 15:52:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 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
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.43 % launching worker at depth: 12
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------