%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN328-1 : 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 : n031.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 09:27:25 PM UTC 2025
% Result : Unsatisfiable 9.34s 1.48s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause2)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
( f(X0)
| f(y(X0)) ),
inference(cnf,[status(esa)],[clause2]) ).
cnf(l0,plain,
( f(z(X0_653))
| f(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ g(X0)
| ~ f(y(X0))
| h(y(X0)) ),
inference(cnf,[status(esa)],[clause4]) ).
cnf(l2,plain,
( ~ g(z(X0_653))
| ~ f(y(z(X0_653)))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(10,plain,
( ~ g(z(X0))
| ~ f(z(X0))
| ~ h(z(X0)) ),
inference(cnf,[status(esa)],[clause11]) ).
cnf(l1,plain,
( ~ g(z(X0_653))
| ~ f(z(X0_653))
| ~ h(z(X0_653)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(5,plain,
( ~ h(y(X0))
| g(X0) ),
inference(cnf,[status(esa)],[clause6]) ).
cnf(l3,plain,
( ~ h(y(z(X0_653)))
| g(z(X0_653)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( ~ h(y(X0))
| h(X0) ),
inference(cnf,[status(esa)],[clause10]) ).
cnf(l5,plain,
( ~ h(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l614,plain,
( ~ h(y(z(X0_653)))
| g(z(X0_653)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ h(X0)
| f(y(X0))
| h(y(X0)) ),
inference(cnf,[status(esa)],[clause7]) ).
cnf(l7,plain,
( ~ h(y(z(X0_653)))
| f(y(y(z(X0_653))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l4,plain,
( ~ h(y(z(X0_653)))
| h(z(X0_653)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l332,plain,
( ~ g(y(z(X0_653)))
| ~ f(y(y(z(X0_653))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l339,plain,
( f(y(y(z(X0_653))))
| f(y(y(y(z(X0_653))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l198,plain,
( ~ g(y(z(X0_653)))
| ~ f(y(y(z(X0_653))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l200,plain,
( ~ h(y(y(z(X0_653))))
| g(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
( ~ h(y(y(z(X0_653))))
| g(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ g(y(X0))
| f(X0) ),
inference(cnf,[status(esa)],[clause3]) ).
cnf(l329,plain,
( ~ g(y(z(X0_653)))
| f(z(X0_653)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l624,plain,
( ~ h(y(y(z(X0_653))))
| g(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ f(y(X0))
| g(y(X0))
| h(X0) ),
inference(cnf,[status(esa)],[clause9]) ).
cnf(l333,plain,
( ~ f(y(z(X0_653)))
| g(y(z(X0_653)))
| h(z(X0_653)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1138,plain,
( ~ h(z(X0_653))
| f(y(z(X0_653)))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
( ~ f(X0)
| ~ f(y(X0))
| g(y(X0)) ),
inference(cnf,[status(esa)],[clause1]) ).
cnf(l1139,plain,
( ~ f(z(X0_653))
| ~ f(y(z(X0_653)))
| g(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l615,plain,
( ~ h(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
( ~ g(y(X0))
| ~ h(X0)
| h(y(X0)) ),
inference(cnf,[status(esa)],[clause8]) ).
cnf(l379,plain,
( ~ g(y(y(z(X0_653))))
| ~ h(y(z(X0_653)))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l363,plain,
( ~ g(z(X0_653))
| ~ f(z(X0_653))
| ~ h(z(X0_653)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l617,plain,
( ~ g(y(z(X0_653)))
| ~ f(y(y(z(X0_653))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l409,plain,
( ~ h(y(z(X0_653)))
| g(z(X0_653)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l621,plain,
( ~ f(y(y(z(X0_653))))
| g(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l623,plain,
( ~ g(y(y(y(z(X0_653)))))
| f(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l699,plain,
( ~ g(y(y(z(X0_653))))
| ~ f(y(y(y(z(X0_653)))))
| h(y(y(y(z(X0_653))))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l501,plain,
( ~ f(y(y(y(z(X0_653)))))
| g(y(y(y(z(X0_653)))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l505,plain,
( ~ g(y(y(y(z(X0_653)))))
| f(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l452,plain,
( ~ h(y(z(X0_653)))
| h(z(X0_653)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l885,plain,
( f(y(y(z(X0_653))))
| f(y(y(y(z(X0_653))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l638,plain,
( ~ g(y(z(X0_653)))
| f(z(X0_653)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l874,plain,
( ~ h(y(y(y(z(X0_653)))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l387,plain,
( ~ f(y(z(X0_653)))
| ~ f(y(y(z(X0_653))))
| g(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l996,plain,
( ~ h(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l629,plain,
( ~ f(y(y(y(z(X0_653)))))
| g(y(y(y(z(X0_653)))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l653,plain,
( ~ g(z(X0_653))
| ~ f(z(X0_653))
| ~ h(z(X0_653)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l668,plain,
( ~ h(y(z(X0_653)))
| g(z(X0_653)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( g(X0)
| f(y(X0)) ),
inference(cnf,[status(esa)],[clause5]) ).
cnf(l337,plain,
( g(z(X0_653))
| f(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1020,plain,
( ~ h(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l705,plain,
( f(y(y(y(z(X0_653)))))
| f(y(y(y(y(z(X0_653)))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l801,plain,
( ~ h(y(z(X0_653)))
| h(z(X0_653)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l913,plain,
( ~ f(y(y(y(z(X0_653)))))
| g(y(y(y(z(X0_653)))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l631,plain,
( ~ f(y(z(X0_653)))
| g(y(z(X0_653)))
| h(z(X0_653)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1088,plain,
( ~ g(y(y(y(z(X0_653)))))
| f(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l765,plain,
( ~ f(y(y(y(y(z(X0_653))))))
| g(y(y(y(y(z(X0_653))))))
| h(y(y(y(z(X0_653))))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l642,plain,
( f(y(z(X0_653)))
| f(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l632,plain,
( f(y(y(z(X0_653))))
| f(y(y(y(z(X0_653))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l846,plain,
( ~ h(y(y(y(z(X0_653)))))
| h(y(y(z(X0_653)))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l833,plain,
( ~ g(y(y(y(y(z(X0_653))))))
| f(y(y(y(z(X0_653))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1192,plain,
( ~ f(y(y(z(X0_653))))
| g(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1217,plain,
( ~ g(y(y(z(X0_653))))
| f(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1196,plain,
( ~ h(y(y(z(X0_653))))
| h(y(z(X0_653))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l3,l5,l614,l7,l4,l332,l339,l198,l200,l13,l329,l624,l333,l1138,l1139,l615,l379,l363,l617,l409,l621,l623,l699,l501,l505,l452,l885,l638,l874,l387,l996,l629,l653,l668,l337,l1020,l705,l801,l913,l631,l1088,l765,l642,l632,l846,l833,l1192,l1217,l1196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN328-1 : TPTP v9.0.0. Released v1.2.0.
% 0.10/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 15:50:49 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 8
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 7
% 0.15/0.31 % launching worker at depth: 9
% 0.15/0.31 % launching worker at depth: 10
% 0.15/0.32 % launching worker at depth: 11
% 0.15/0.34 % launching worker at depth: 12
% 0.15/0.47 % launching worker at depth: 13
% 8.56/1.41 % launching worker at depth: 14
% 9.34/1.48 % SZS status Theorem for theBenchmark
% 9.34/1.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------