%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:10:40 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of clauses : 84 ( 56 unt; 0 nHn; 82 RR)
% Number of literals : 137 ( 0 equ; 55 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 12 ( 4 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c21_is_p19_1,negated_conjecture,
p19(c21),
file('theBenchmark.p',c21_is_p19_1) ).
cnf(c22_is_p19_2,negated_conjecture,
p19(c22),
file('theBenchmark.p',c22_is_p19_2) ).
cnf(p7_4,negated_conjecture,
p7(X32,X32),
file('theBenchmark.p',p7_4) ).
cnf(p3_6,negated_conjecture,
p3(X16,X16),
file('theBenchmark.p',p3_6) ).
cnf(p7_7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('theBenchmark.p',p7_7) ).
cnf(not_p3_8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('theBenchmark.p',not_p3_8) ).
cnf(p7_16,negated_conjecture,
( ~ p3(X39,X40)
| p7(f13(X39),f13(X40)) ),
file('theBenchmark.p',p7_16) ).
cnf(p7_17,negated_conjecture,
( ~ p7(X41,X42)
| p7(f15(X41),f15(X42)) ),
file('theBenchmark.p',p7_17) ).
cnf(p7_19,negated_conjecture,
( ~ p7(X32,X34)
| ~ p7(X32,X33)
| p7(X33,X34) ),
file('theBenchmark.p',p7_19) ).
cnf(p17_22,negated_conjecture,
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
file('theBenchmark.p',p17_22) ).
cnf(p18_23,negated_conjecture,
( ~ p18(X7,X8)
| ~ p7(X8,X6)
| ~ p7(X7,X5)
| p18(X5,X6) ),
file('theBenchmark.p',p18_23) ).
cnf(p7_24,negated_conjecture,
( ~ p7(X49,X51)
| ~ p7(X50,X52)
| p7(f9(X49,X50),f9(X51,X52)) ),
file('theBenchmark.p',p7_24) ).
cnf(p7_25,negated_conjecture,
( ~ p7(X35,X37)
| ~ p3(X36,X38)
| p7(f10(X35,X36),f10(X37,X38)) ),
file('theBenchmark.p',p7_25) ).
cnf(p7_26,negated_conjecture,
( ~ p7(X46,X48)
| ~ p7(X45,X47)
| p7(f8(X45,X46),f8(X47,X48)) ),
file('theBenchmark.p',p7_26) ).
cnf(p18_27,negated_conjecture,
( ~ p19(X4)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4))) ),
file('theBenchmark.p',p18_27) ).
cnf(p17_28,negated_conjecture,
( ~ p19(X4)
| p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('theBenchmark.p',p17_28) ).
cnf(p3_29,negated_conjecture,
( ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p19(X27)
| p3(f4(f6(X27)),X28) ),
file('theBenchmark.p',p3_29) ).
cnf(t1,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(start,[status(thm),parent(0:0)],[not_p3_8]) ).
cnf(t2,plain,
( ~ p19(c21)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21)))
| ~ p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| p3(f4(f6(c21)),f4(f6(c22))) ),
inference(extension,[status(thm),parent(t1:1)],[p3_29]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p7(f15(f16(c22)),f15(f16(c21)))
| ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(extension,[status(thm),parent(t2:2)],[p17_22]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p19(c22)
| p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(extension,[status(thm),parent(t4:2)],[p17_28]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p19(c22),
inference(extension,[status(thm),parent(t6:2)],[c22_is_p19_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p7(f13(f11(f14(f12(c20)))),f13(f11(f14(f12(c20)))))
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(extension,[status(thm),parent(t4:3)],[p7_26]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
( ~ p7(f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))
| ~ p7(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f4(f6(c22))))
| p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))) ),
inference(extension,[status(thm),parent(t10:2)],[p7_24]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p7(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f4(f6(c22)))),
inference(extension,[status(thm),parent(t12:2)],[p7_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p7(f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),
inference(extension,[status(thm),parent(t12:3)],[p7_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ p3(f11(f14(f12(c20))),f11(f14(f12(c20))))
| p7(f13(f11(f14(f12(c20)))),f13(f11(f14(f12(c20))))) ),
inference(extension,[status(thm),parent(t10:3)],[p7_16]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
p3(f11(f14(f12(c20))),f11(f14(f12(c20)))),
inference(extension,[status(thm),parent(t18:2)],[p3_6]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ p7(f15(f16(c21)),f15(f16(c22)))
| ~ p7(f15(f16(c21)),f15(f16(c21)))
| p7(f15(f16(c22)),f15(f16(c21))) ),
inference(extension,[status(thm),parent(t4:4)],[p7_19]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:4]) ).
cnf(t24,plain,
( ~ p7(f15(f16(c21)),f15(f16(c21)))
| ~ p7(f15(f16(c21)),f15(f16(c21)))
| p7(f15(f16(c21)),f15(f16(c21))) ),
inference(extension,[status(thm),parent(t22:2)],[p7_19]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p7(f15(f16(c21)),f15(f16(c21))),
inference(extension,[status(thm),parent(t24:2)],[p7_4]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p7(f15(f16(c21)),f15(f16(c21))),
inference(extension,[status(thm),parent(t24:3)],[p7_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ p7(f16(c21),f16(c22))
| p7(f15(f16(c21)),f15(f16(c22))) ),
inference(extension,[status(thm),parent(t22:3)],[p7_17]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:3]) ).
cnf(t32,plain,
p7(f16(c21),f16(c22)),
inference(extension,[status(thm),parent(t30:2)],[p7_7]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p7(f15(f16(c22)),f15(f16(c21)))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22)))
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))) ),
inference(extension,[status(thm),parent(t2:3)],[p18_23]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:3]) ).
cnf(t36,plain,
( ~ p19(c22)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22))) ),
inference(extension,[status(thm),parent(t34:2)],[p18_27]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
p19(c22),
inference(extension,[status(thm),parent(t36:2)],[c22_is_p19_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ p7(f15(f16(c21)),f15(f16(c22)))
| ~ p7(f15(f16(c21)),f15(f16(c21)))
| p7(f15(f16(c22)),f15(f16(c21))) ),
inference(extension,[status(thm),parent(t34:3)],[p7_19]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t34:3]) ).
cnf(t42,plain,
( ~ p7(f15(f16(c21)),f15(f16(c21)))
| ~ p7(f15(f16(c21)),f15(f16(c21)))
| p7(f15(f16(c21)),f15(f16(c21))) ),
inference(extension,[status(thm),parent(t40:2)],[p7_19]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p7(f15(f16(c21)),f15(f16(c21))),
inference(extension,[status(thm),parent(t42:2)],[p7_4]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
p7(f15(f16(c21)),f15(f16(c21))),
inference(extension,[status(thm),parent(t42:3)],[p7_4]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
( ~ p7(f16(c21),f16(c22))
| p7(f15(f16(c21)),f15(f16(c22))) ),
inference(extension,[status(thm),parent(t40:3)],[p7_17]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t40:3]) ).
cnf(t50,plain,
p7(f16(c21),f16(c22)),
inference(extension,[status(thm),parent(t48:2)],[p7_7]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ p7(f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))
| ~ p7(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f4(f6(c22))))
| p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))) ),
inference(extension,[status(thm),parent(t34:4)],[p7_24]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t34:4]) ).
cnf(t54,plain,
( ~ p3(f4(f6(c22)),f4(f6(c22)))
| ~ p7(f13(f11(f14(f12(c20)))),f13(f11(f14(f12(c20)))))
| p7(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f4(f6(c22)))) ),
inference(extension,[status(thm),parent(t52:2)],[p7_25]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
p7(f13(f11(f14(f12(c20)))),f13(f11(f14(f12(c20))))),
inference(extension,[status(thm),parent(t54:2)],[p7_4]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p3(f4(f6(c22)),f4(f6(c22))),
inference(extension,[status(thm),parent(t54:3)],[p3_6]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
cnf(t60,plain,
( ~ p3(f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))
| ~ p7(f13(f11(f14(f12(c20)))),f13(f11(f14(f12(c20)))))
| p7(f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))) ),
inference(extension,[status(thm),parent(t52:3)],[p7_25]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:3]) ).
cnf(t62,plain,
p7(f13(f11(f14(f12(c20)))),f13(f11(f14(f12(c20))))),
inference(extension,[status(thm),parent(t60:2)],[p7_4]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
p3(f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))),
inference(extension,[status(thm),parent(t60:3)],[p3_6]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
p19(c21),
inference(extension,[status(thm),parent(t2:4)],[c21_is_p19_1]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 07:06:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------