%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN646-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 09:28:12 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named p10_2)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
p10(X0,X0),
inference(cnf,[status(esa)],[p10_2]) ).
cnf(l0,plain,
p10(c22,c22),
inference(instantiation,[status(thm)],[1]) ).
cnf(17,plain,
( ~ p10(X0,X1)
| p16(f17(X0),f17(X1)) ),
inference(cnf,[status(esa)],[p16_18]) ).
cnf(l1,plain,
( ~ p10(c22,c22)
| p16(f17(c22),f17(c22)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(30,plain,
( ~ p16(X0,X1)
| ~ p16(X2,X3)
| ~ p21(X2,X0)
| p21(X3,X1) ),
inference(cnf,[status(esa)],[p21_31]) ).
cnf(l2,plain,
( ~ p16(f17(c22),f17(c22))
| ~ p16(f17(c25),f17(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))))
| ~ p21(f17(c25),f17(c22))
| p21(f17(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))),f17(c22)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l43,plain,
( ~ p16(f17(c22),f17(c22))
| ~ p16(f17(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))),f17(c25))
| ~ p21(f17(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))),f17(c22))
| p21(f17(c25),f17(c22)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(6,plain,
~ p21(f17(c25),f17(c22)),
inference(cnf,[status(esa)],[not_p21_7]) ).
cnf(l44,plain,
~ p21(f17(c25),f17(c22)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l85,plain,
( ~ p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),c25)
| p16(f17(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))),f17(c25)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(43,plain,
p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),c25),
inference(cnf,[status(esa)],[p10_44]) ).
cnf(l86,plain,
p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),c25),
inference(instantiation,[status(thm)],[43]) ).
cnf(39,plain,
( ~ p2(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p20(f14(f11(X0)),f14(f11(X1)))
| p21(f17(X0),f17(X1)) ),
inference(cnf,[status(esa)],[p21_40]) ).
cnf(l46,plain,
( ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p20(f14(f11(c25)),f14(f11(c22)))
| p21(f17(c25),f17(c22)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(8,plain,
p2(f12(f11(c22)),f7(c24)),
inference(cnf,[status(esa)],[p2_9]) ).
cnf(l49,plain,
p2(f12(f11(c22)),f7(c24)),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
p20(f14(f11(c25)),f14(f11(c22))),
inference(cnf,[status(esa)],[p20_12]) ).
cnf(l67,plain,
p20(f14(f11(c25)),f14(f11(c22))),
inference(instantiation,[status(thm)],[11]) ).
cnf(l3,plain,
( ~ p10(c25,f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))))
| p16(f17(c25),f17(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(9,plain,
p2(f12(f11(c25)),f7(c24)),
inference(cnf,[status(esa)],[p2_10]) ).
cnf(l47,plain,
p2(f12(f11(c25)),f7(c24)),
inference(instantiation,[status(thm)],[9]) ).
cnf(27,plain,
( ~ p2(X0,X1)
| ~ p2(X0,X2)
| p2(X1,X2) ),
inference(cnf,[status(esa)],[p2_28]) ).
cnf(l65,plain,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22)))
| p2(f13(f11(c25)),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l82,plain,
( ~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
| ~ p2(f13(f11(c23)),f13(f11(c22)))
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(24,plain,
( ~ p10(X0,X1)
| ~ p10(X0,X2)
| p10(X1,X2) ),
inference(cnf,[status(esa)],[p10_25]) ).
cnf(l5,plain,
( ~ p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),c25)
| ~ p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))))
| p10(c25,f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l11,plain,
p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),c25),
inference(instantiation,[status(thm)],[43]) ).
cnf(13,plain,
p2(f13(f11(c23)),f13(f11(c22))),
inference(cnf,[status(esa)],[p2_14]) ).
cnf(l83,plain,
p2(f13(f11(c23)),f13(f11(c22))),
inference(instantiation,[status(thm)],[13]) ).
cnf(34,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf,[status(esa)],[p2_35]) ).
cnf(l96,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(instantiation,[status(thm)],[34]) ).
cnf(l66,plain,
( ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))
| ~ p2(f13(f11(c25)),f13(f11(c25)))
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(4,plain,
p2(X0,X0),
inference(cnf,[status(esa)],[p2_5]) ).
cnf(l68,plain,
p2(f13(f11(c25)),f13(f11(c25))),
inference(instantiation,[status(thm)],[4]) ).
cnf(35,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf,[status(esa)],[p2_36]) ).
cnf(l79,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(instantiation,[status(thm)],[35]) ).
cnf(16,plain,
( ~ p4(X0,X1)
| p10(f15(X0),f15(X1)) ),
inference(cnf,[status(esa)],[p10_17]) ).
cnf(l9,plain,
( ~ p4(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))
| p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(2,plain,
p4(X0,X0),
inference(cnf,[status(esa)],[p4_3]) ).
cnf(l38,plain,
p4(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24))))))))))))))))))))))))),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f9(f8(f9(f8(f9(f9(f9(f8(f8(f9(f8(f9(f8(f9(f8(f8(f8(f9(f8(c24)))))))))))))))))))))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l43,l44,l85,l86,l46,l49,l67,l3,l47,l65,l82,l5,l11,l83,l96,l66,l68,l79,l9,l38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN646-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.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 : Tue Jul 22 17:41:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 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: 8
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.42 % launching worker at depth: 11
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------