%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN658-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 : Tue May 5 05:39:51 PM UTC 2026
% Result : Unsatisfiable 0.62s 1.57s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 50
% Syntax : Number of clauses : 148 ( 63 unt; 11 nHn; 120 RR)
% Number of literals : 311 ( 0 equ; 165 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 269 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p6_49,negated_conjecture,
( p6(f21(X1),f10(c33))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_49) ).
cnf(p24_43,negated_conjecture,
p24(c34,f13(c32,f14(f16(f8(c27,f9(c28,c29)),c31),f15(f10(f11(f12(c33))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_43) ).
cnf(not_p4_44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_44) ).
cnf(p26_50,negated_conjecture,
( p26(f19(f20(c31,c32)),f19(f20(c31,X1)))
| p26(f19(f20(c31,c35)),f19(f20(c31,X1)))
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_50) ).
cnf(p6_48,negated_conjecture,
( p6(f21(X1),f10(c33))
| p25(f22(X1,X2,X3),f18(X1))
| p4(f5(X1,c36,X2),f5(X1,c36,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_48) ).
cnf(p24_45,negated_conjecture,
( p24(f19(f20(c34,c31)),f19(f20(c34,X1)))
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_45) ).
cnf(p4_30,negated_conjecture,
p4(c35,f13(c32,f16(f8(c27,f9(c28,c29)),c31))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_30) ).
cnf(p4_42,negated_conjecture,
p4(f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_42) ).
cnf(p4_47,negated_conjecture,
( p4(f22(X1,X2,X3),f22(X4,X5,X6))
| ~ p4(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_47) ).
cnf(p4_46,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_46) ).
cnf(not_p24_41,negated_conjecture,
( ~ p24(X1,c35)
| ~ p24(c32,X1)
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_41) ).
cnf(p4_29,negated_conjecture,
p4(f5(f8(c27,f9(c28,c29)),c30,c31),c32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_29) ).
cnf(p6_15,negated_conjecture,
p6(f21(f8(X1,f9(X2,X3))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_15) ).
cnf(p25_13,negated_conjecture,
p25(c35,f18(f8(c27,f9(c28,c29)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).
cnf(p25_14,negated_conjecture,
p25(c32,f18(f8(c27,f9(c28,c29)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).
cnf(p2_35,negated_conjecture,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p6(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
cnf(p4_39,negated_conjecture,
( p4(f14(X1,X2),f14(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_39) ).
cnf(p4_37,negated_conjecture,
( p4(f20(X1,X2),f20(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).
cnf(p4_40,negated_conjecture,
( p4(f13(X1,X2),f13(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_40) ).
cnf(p4_38,negated_conjecture,
( p4(f16(X1,X2),f16(X3,X4))
| ~ p2(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_38) ).
cnf(p7_36,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p6(X1,X3)
| ~ p6(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_36) ).
cnf(p25_33,negated_conjecture,
( p25(X1,X2)
| ~ p25(X3,X4)
| ~ p4(X3,X1)
| ~ p17(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_33) ).
cnf(p23_31,negated_conjecture,
( p23(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X4,X2)
| ~ p23(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_31) ).
cnf(p26_32,negated_conjecture,
( p26(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p26(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_32) ).
cnf(p24_34,negated_conjecture,
( p24(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p24(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_34) ).
cnf(p2_28,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(p3_27,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
cnf(p4_26,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_26) ).
cnf(p6_25,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_25) ).
cnf(p7_24,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).
cnf(p17_23,negated_conjecture,
( p17(X1,X2)
| ~ p17(X3,X1)
| ~ p17(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_23) ).
cnf(p4_22,negated_conjecture,
( p4(f15(X1),f15(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
cnf(p4_21,negated_conjecture,
( p4(f19(X1),f19(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).
cnf(p6_17,negated_conjecture,
( p6(f21(X1),f21(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_17) ).
cnf(p6_19,negated_conjecture,
( p6(f11(X1),f11(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_19) ).
cnf(p6_18,negated_conjecture,
( p6(f12(X1),f12(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_18) ).
cnf(p6_20,negated_conjecture,
( p6(f10(X1),f10(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_20) ).
cnf(p17_16,negated_conjecture,
( p17(f18(X1),f18(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_16) ).
cnf(p23_12,negated_conjecture,
p23(f10(f11(f12(c33))),c28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).
cnf(not_p6_11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_11) ).
cnf(p2_6,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
cnf(p4_4,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
cnf(p6_3,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p17_1,negated_conjecture,
p17(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_1) ).
cnf(p26_9,negated_conjecture,
p26(c31,c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_9) ).
cnf(p26_8,negated_conjecture,
p26(c32,c31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_8) ).
cnf(p24_10,negated_conjecture,
p24(c32,c34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_10) ).
cnf(p24_7,negated_conjecture,
p24(c32,c31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_7) ).
cnf(i_0_50,negated_conjecture,
( p6(f21(X1),f10(c33))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3)))) ),
p6_49,
[final] ).
cnf(i_0_51,negated_conjecture,
p24(c34,f13(c32,f14(f16(f8(c27,f9(c28,c29)),c31),f15(f10(f11(f12(c33))))))),
p24_43,
[final] ).
cnf(i_0_52,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
not_p4_44,
[final] ).
cnf(i_0_53,negated_conjecture,
( p26(f19(f20(c31,c32)),f19(f20(c31,X1)))
| p26(f19(f20(c31,c35)),f19(f20(c31,X1)))
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
p26_50,
[final] ).
cnf(i_0_54,negated_conjecture,
( p6(f21(X1),f10(c33))
| p25(f22(X1,X2,X3),f18(X1))
| p4(f5(X1,c36,X2),f5(X1,c36,X3)) ),
p6_48,
[final] ).
cnf(i_0_55,negated_conjecture,
( p24(f19(f20(c34,c31)),f19(f20(c34,X1)))
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
p24_45,
[final] ).
cnf(i_0_56,negated_conjecture,
p4(c35,f13(c32,f16(f8(c27,f9(c28,c29)),c31))),
p4_30,
[final] ).
cnf(i_0_57,negated_conjecture,
p4(f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c31)),
p4_42,
[final] ).
cnf(i_0_58,negated_conjecture,
( p4(f22(X1,X2,X3),f22(X4,X5,X6))
| ~ p4(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
p4_47,
[final] ).
cnf(i_0_59,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
p4_46,
[final] ).
cnf(i_0_60,negated_conjecture,
( ~ p24(X1,c35)
| ~ p24(c32,X1)
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
not_p24_41,
[final] ).
cnf(i_0_61,negated_conjecture,
p4(f5(f8(c27,f9(c28,c29)),c30,c31),c32),
p4_29,
[final] ).
cnf(i_0_62,negated_conjecture,
p6(f21(f8(X1,f9(X2,X3))),X2),
p6_15,
[final] ).
cnf(i_0_63,negated_conjecture,
p25(c35,f18(f8(c27,f9(c28,c29)))),
p25_13,
[final] ).
cnf(i_0_64,negated_conjecture,
p25(c32,f18(f8(c27,f9(c28,c29)))),
p25_14,
[final] ).
cnf(i_0_65,negated_conjecture,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p6(X1,X3)
| ~ p7(X2,X4) ),
p2_35,
[final] ).
cnf(i_0_66,negated_conjecture,
( p4(f14(X1,X2),f14(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_39,
[final] ).
cnf(i_0_67,negated_conjecture,
( p4(f20(X1,X2),f20(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_37,
[final] ).
cnf(i_0_68,negated_conjecture,
( p4(f13(X1,X2),f13(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_40,
[final] ).
cnf(i_0_69,negated_conjecture,
( p4(f16(X1,X2),f16(X3,X4))
| ~ p2(X1,X3)
| ~ p4(X2,X4) ),
p4_38,
[final] ).
cnf(i_0_70,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p6(X1,X3)
| ~ p6(X2,X4) ),
p7_36,
[final] ).
cnf(i_0_71,negated_conjecture,
( p25(X1,X2)
| ~ p25(X3,X4)
| ~ p4(X3,X1)
| ~ p17(X4,X2) ),
p25_33,
[final] ).
cnf(i_0_72,negated_conjecture,
( p23(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X4,X2)
| ~ p23(X3,X4) ),
p23_31,
[final] ).
cnf(i_0_73,negated_conjecture,
( p26(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p26(X3,X4) ),
p26_32,
[final] ).
cnf(i_0_74,negated_conjecture,
( p24(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p24(X3,X4) ),
p24_34,
[final] ).
cnf(i_0_75,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_28,
[final] ).
cnf(i_0_76,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_27,
[final] ).
cnf(i_0_77,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_26,
[final] ).
cnf(i_0_78,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_25,
[final] ).
cnf(i_0_79,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_24,
[final] ).
cnf(i_0_80,negated_conjecture,
( p17(X1,X2)
| ~ p17(X3,X1)
| ~ p17(X3,X2) ),
p17_23,
[final] ).
cnf(i_0_81,negated_conjecture,
( p4(f15(X1),f15(X2))
| ~ p6(X1,X2) ),
p4_22,
[final] ).
cnf(i_0_82,negated_conjecture,
( p4(f19(X1),f19(X2))
| ~ p4(X1,X2) ),
p4_21,
[final] ).
cnf(i_0_83,negated_conjecture,
( p6(f21(X1),f21(X2))
| ~ p2(X1,X2) ),
p6_17,
[final] ).
cnf(i_0_84,negated_conjecture,
( p6(f11(X1),f11(X2))
| ~ p6(X1,X2) ),
p6_19,
[final] ).
cnf(i_0_85,negated_conjecture,
( p6(f12(X1),f12(X2))
| ~ p6(X1,X2) ),
p6_18,
[final] ).
cnf(i_0_86,negated_conjecture,
( p6(f10(X1),f10(X2))
| ~ p6(X1,X2) ),
p6_20,
[final] ).
cnf(i_0_87,negated_conjecture,
( p17(f18(X1),f18(X2))
| ~ p2(X1,X2) ),
p17_16,
[final] ).
cnf(i_0_88,negated_conjecture,
p23(f10(f11(f12(c33))),c28),
p23_12,
[final] ).
cnf(i_0_89,negated_conjecture,
~ p6(c28,f10(c33)),
not_p6_11,
[final] ).
cnf(i_0_90,negated_conjecture,
p2(X1,X1),
p2_6,
[final] ).
cnf(i_0_91,negated_conjecture,
p3(X1,X1),
p3_5,
[final] ).
cnf(i_0_92,negated_conjecture,
p4(X1,X1),
p4_4,
[final] ).
cnf(i_0_93,negated_conjecture,
p6(X1,X1),
p6_3,
[final] ).
cnf(i_0_94,negated_conjecture,
p7(X1,X1),
p7_2,
[final] ).
cnf(i_0_95,negated_conjecture,
p17(X1,X1),
p17_1,
[final] ).
cnf(i_0_96,negated_conjecture,
p26(c31,c35),
p26_9,
[final] ).
cnf(i_0_97,negated_conjecture,
p26(c32,c31),
p26_8,
[final] ).
cnf(i_0_98,negated_conjecture,
p24(c32,c34),
p24_10,
[final] ).
cnf(i_0_99,negated_conjecture,
p24(c32,c31),
p24_7,
[final] ).
cnf(i_0_100,plain,
p24(f19(f20(c34,c31)),f19(f20(c34,c35))),
inference(scs_inference,[],[i_0_63,i_0_55]) ).
cnf(i_0_101,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X1))) ),
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_102,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
inference(scs_inference,[],[i_0_92,i_0_52,i_0_63,i_0_55,i_0_77]) ).
cnf(i_0_103,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_104,plain,
( ~ p4(X1,X2)
| p4(X3,X2)
| ~ p4(X1,X3) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_105,plain,
~ p6(f10(c33),c28),
inference(scs_inference,[],[i_0_92,i_0_93,i_0_89,i_0_52,i_0_63,i_0_55,i_0_77,i_0_78]) ).
cnf(i_0_106,plain,
p6(X1,X1),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_107,plain,
( ~ p6(X1,X2)
| p6(X3,X2)
| ~ p6(X1,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_108,plain,
~ p4(c31,c34),
inference(scs_inference,[],[i_0_90,i_0_91,i_0_92,i_0_93,i_0_89,i_0_52,i_0_63,i_0_55,i_0_77,i_0_78,i_0_59]) ).
cnf(i_0_109,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_110,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_111,plain,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_112,plain,
p25(f13(c32,f16(f8(c27,f9(c28,c29)),c31)),f18(f8(c27,f9(c28,c29)))),
inference(scs_inference,[],[i_0_90,i_0_91,i_0_92,i_0_93,i_0_95,i_0_89,i_0_52,i_0_63,i_0_56,i_0_55,i_0_77,i_0_78,i_0_59,i_0_71]) ).
cnf(i_0_113,plain,
p17(X1,X1),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_114,plain,
( ~ p4(X1,X2)
| ~ p17(X3,X4)
| p25(X2,X4)
| ~ p25(X1,X3) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_115,plain,
p26(c31,f13(c32,f16(f8(c27,f9(c28,c29)),c31))),
inference(scs_inference,[],[i_0_90,i_0_91,i_0_92,i_0_103,i_0_93,i_0_95,i_0_96,i_0_89,i_0_52,i_0_63,i_0_56,i_0_55,i_0_77,i_0_78,i_0_59,i_0_71,i_0_73]) ).
cnf(i_0_116,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_117,plain,
( ~ p26(X1,X2)
| p26(X3,X4)
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_118,plain,
( p26(f19(f20(c31,c32)),f19(f20(c31,c35)))
| p26(f19(f20(c31,c35)),f19(f20(c31,c35))) ),
inference(scs_inference,[],[i_0_90,i_0_91,i_0_92,i_0_103,i_0_93,i_0_95,i_0_96,i_0_89,i_0_52,i_0_63,i_0_56,i_0_55,i_0_77,i_0_78,i_0_59,i_0_71,i_0_73,i_0_53]) ).
cnf(i_0_119,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p26(f19(f20(c31,c32)),f19(f20(c31,X1)))
| p26(f19(f20(c31,c35)),f19(f20(c31,X1))) ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_120,plain,
( ~ p24(c32,c35)
| ~ p24(c35,c35) ),
inference(scs_inference,[],[i_0_90,i_0_91,i_0_92,i_0_103,i_0_93,i_0_95,i_0_96,i_0_89,i_0_52,i_0_63,i_0_56,i_0_55,i_0_77,i_0_78,i_0_59,i_0_71,i_0_73,i_0_53,i_0_60]) ).
cnf(i_0_121,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| ~ p24(c32,X1)
| ~ p24(X1,c35) ),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_122,plain,
( p23(f10(f11(f12(c33))),X1)
| ~ p6(c28,X1) ),
inference(scs_inference,[],[i_0_90,i_0_91,i_0_92,i_0_103,i_0_93,i_0_106,i_0_95,i_0_96,i_0_89,i_0_52,i_0_63,i_0_88,i_0_56,i_0_55,i_0_77,i_0_78,i_0_59,i_0_71,i_0_73,i_0_53,i_0_60,i_0_72]) ).
cnf(i_0_123,plain,
p6(X1,X1),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_124,plain,
( ~ p23(X1,X2)
| p23(X3,X4)
| ~ p6(X1,X3)
| ~ p6(X2,X4) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_125,plain,
( ~ p4(c34,c32)
| ~ p4(f13(c32,f14(f16(f8(c27,f9(c28,c29)),c31),f15(f10(f11(f12(c33)))))),c35)
| ~ p24(c35,c35) ),
inference(scs_inference,[],[i_0_51,i_0_90,i_0_91,i_0_92,i_0_103,i_0_93,i_0_106,i_0_95,i_0_96,i_0_89,i_0_52,i_0_63,i_0_88,i_0_56,i_0_55,i_0_77,i_0_78,i_0_59,i_0_71,i_0_73,i_0_60,i_0_74]) ).
cnf(i_0_126,plain,
p24(f19(f20(c34,c31)),f19(f20(c34,f13(c32,f16(f8(c27,f9(c28,c29)),c31))))),
inference(scs_inference,[],[i_0_112,i_0_55]) ).
cnf(i_0_127,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X1))) ),
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_128,plain,
~ p6(f21(f8(X1,f9(c28,X2))),f10(c33)),
inference(scs_inference,[],[i_0_112,i_0_105,i_0_62,i_0_55,i_0_78]) ).
cnf(i_0_129,plain,
p6(f21(f8(X1,f9(X2,X3))),X2),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_130,plain,
( ~ p6(X1,X2)
| p6(X3,X2)
| ~ p6(X1,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_131,plain,
~ p4(c34,c31),
inference(scs_inference,[],[i_0_112,i_0_102,i_0_105,i_0_62,i_0_90,i_0_91,i_0_55,i_0_78,i_0_59]) ).
cnf(i_0_132,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_133,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_134,plain,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_135,plain,
p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))),
inference(scs_inference,[],[i_0_112,i_0_102,i_0_105,i_0_62,i_0_90,i_0_91,i_0_55,i_0_78,i_0_59,i_0_54]) ).
cnf(i_0_136,plain,
( p6(f21(X1),f10(c33))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| p25(f22(X1,X2,X3),f18(X1)) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_137,plain,
( p26(f19(f20(c31,c32)),f19(f20(c31,f13(c32,f16(f8(c27,f9(c28,c29)),c31)))))
| p26(f19(f20(c31,c35)),f19(f20(c31,f13(c32,f16(f8(c27,f9(c28,c29)),c31))))) ),
inference(scs_inference,[],[i_0_112,i_0_102,i_0_105,i_0_62,i_0_90,i_0_91,i_0_55,i_0_78,i_0_59,i_0_54,i_0_53]) ).
cnf(i_0_138,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p26(f19(f20(c31,c32)),f19(f20(c31,X1)))
| p26(f19(f20(c31,c35)),f19(f20(c31,X1))) ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_139,plain,
( ~ p24(c32,f13(c32,f16(f8(c27,f9(c28,c29)),c31)))
| ~ p24(f13(c32,f16(f8(c27,f9(c28,c29)),c31)),c35) ),
inference(scs_inference,[],[i_0_112,i_0_102,i_0_105,i_0_62,i_0_90,i_0_91,i_0_55,i_0_78,i_0_59,i_0_54,i_0_53,i_0_60]) ).
cnf(i_0_140,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| ~ p24(c32,X1)
| ~ p24(X1,c35) ),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_141,plain,
( p26(c31,X1)
| ~ p4(f13(c32,f16(f8(c27,f9(c28,c29)),c31)),X1) ),
inference(scs_inference,[],[i_0_112,i_0_102,i_0_115,i_0_105,i_0_62,i_0_90,i_0_91,i_0_92,i_0_55,i_0_78,i_0_59,i_0_54,i_0_53,i_0_60,i_0_73]) ).
cnf(i_0_142,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_143,plain,
( ~ p26(X1,X2)
| p26(X3,X4)
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_144,plain,
( p25(f16(f8(c27,f9(c28,c29)),c31),X1)
| ~ p25(f16(f8(c27,f9(c28,c29)),c34),X1)
| ~ p24(f13(c32,f16(f8(c27,f9(c28,c29)),c31)),c35) ),
inference(scs_inference,[],[i_0_112,i_0_100,i_0_102,i_0_115,i_0_105,i_0_62,i_0_57,i_0_90,i_0_91,i_0_92,i_0_95,i_0_55,i_0_78,i_0_59,i_0_54,i_0_60,i_0_71]) ).
cnf(i_0_145,plain,
p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))),
inference(scs_inference,[],[i_0_135,i_0_55]) ).
cnf(i_0_146,plain,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X1))) ),
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_147,plain,
$false,
inference(scs_inference,[],[i_0_135,i_0_128,i_0_102,i_0_55,i_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN658-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.29 % Computer : n016.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue May 5 08:42:51 EDT 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 0.62/1.57 % Version : CSE_E---1.7
% 0.62/1.57 % Problem : theBenchmark.p
% 0.62/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 0.62/1.57 % SZS output start CNFRefutation
% See solution above
% 0.76/1.72 % Total time : 1.268s
%------------------------------------------------------------------------------