%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN673-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 05:39:52 PM UTC 2026
% Result : Unsatisfiable 129.07s 97.31s
% Output : CNFRefutation 129.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 55
% Syntax : Number of clauses : 164 ( 77 unt; 3 nHn; 99 RR)
% Number of literals : 327 ( 0 equ; 166 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 303 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p27_55,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_55) ).
cnf(p27_54,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,c31))),f5(c33,f8(c34,c30)))
| ~ p29(f22(f8(c34,c30),X1),c37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_54) ).
cnf(p10_41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_41) ).
cnf(p29_53,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X1)),c31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_53) ).
cnf(p29_52,negated_conjecture,
( p29(f24(c42,f26(c43,X1)),c39)
| p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_52) ).
cnf(not_p29_17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p29_17) ).
cnf(p11_45,negated_conjecture,
( p11(f12(X1,X2),f12(X3,X4))
| ~ p10(X2,X4)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_45) ).
cnf(p13_46,negated_conjecture,
( p13(f19(X1,X2),f19(X3,X4))
| ~ p10(X2,X4)
| ~ p18(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_46) ).
cnf(p16_47,negated_conjecture,
( p16(f26(X1,X2),f26(X3,X4))
| ~ p10(X2,X4)
| ~ p25(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_47) ).
cnf(p20_48,negated_conjecture,
( p20(f21(X1,X2),f21(X3,X4))
| ~ p16(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_48) ).
cnf(p3_49,negated_conjecture,
( p3(f8(X1,X2),f8(X3,X4))
| ~ p6(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_49) ).
cnf(p4_50,negated_conjecture,
( p4(f22(X1,X2),f22(X3,X4))
| ~ p10(X2,X4)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
cnf(p4_51,negated_conjecture,
( p4(f24(X1,X2),f24(X3,X4))
| ~ p16(X2,X4)
| ~ p23(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_51) ).
cnf(p4_42,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_42) ).
cnf(p10_44,negated_conjecture,
( p10(f17(X1,X2),f17(X3,X4))
| ~ p15(X1,X3)
| ~ p16(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_44) ).
cnf(p10_43,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p10(X2,X4)
| ~ p13(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_43) ).
cnf(p27_21,negated_conjecture,
p27(f12(c32,c37),f5(c33,f8(c34,c30))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_21) ).
cnf(p28_37,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p29(f24(c42,X1),c39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_37) ).
cnf(p10_16,negated_conjecture,
p10(f14(f19(c35,X1),c41),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
cnf(p28_40,negated_conjecture,
( p28(X1,X2)
| ~ p20(X3,X1)
| ~ p28(X3,X4)
| ~ p16(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_40) ).
cnf(p27_39,negated_conjecture,
( p27(X1,X2)
| ~ p27(X3,X4)
| ~ p4(X4,X2)
| ~ p11(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_39) ).
cnf(p29_38,negated_conjecture,
( p29(X1,X2)
| ~ p29(X3,X4)
| ~ p4(X3,X1)
| ~ p10(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_38) ).
cnf(p29_18,negated_conjecture,
( p29(X1,X2)
| ~ p27(f12(c32,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_18) ).
cnf(p27_19,negated_conjecture,
( p27(f12(c32,X1),X2)
| ~ p29(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_19) ).
cnf(p11_36,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X1)
| ~ p11(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_36) ).
cnf(p13_35,negated_conjecture,
( p13(X1,X2)
| ~ p13(X3,X1)
| ~ p13(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_35) ).
cnf(p15_34,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X1)
| ~ p15(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_34) ).
cnf(p16_33,negated_conjecture,
( p16(X1,X2)
| ~ p16(X3,X1)
| ~ p16(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_33) ).
cnf(p18_32,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_32) ).
cnf(p2_31,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).
cnf(p20_30,negated_conjecture,
( p20(X1,X2)
| ~ p20(X3,X1)
| ~ p20(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_30) ).
cnf(p23_29,negated_conjecture,
( p23(X1,X2)
| ~ p23(X3,X1)
| ~ p23(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_29) ).
cnf(p25_28,negated_conjecture,
( p25(X1,X2)
| ~ p25(X3,X1)
| ~ p25(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_28) ).
cnf(p3_27,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
cnf(p4_26,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_26) ).
cnf(p6_25,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).
cnf(p7_24,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
cnf(p9_23,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_23) ).
cnf(p10_22,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_22) ).
cnf(p28_20,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p16(X1,c40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_20) ).
cnf(p11_15,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_15) ).
cnf(p13_14,negated_conjecture,
p13(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_14) ).
cnf(p15_13,negated_conjecture,
p15(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_13) ).
cnf(p16_12,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_12) ).
cnf(p18_11,negated_conjecture,
p18(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_11) ).
cnf(p2_10,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p20_9,negated_conjecture,
p20(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_9) ).
cnf(p23_8,negated_conjecture,
p23(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_8) ).
cnf(p25_7,negated_conjecture,
p25(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_7) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p6_4,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
cnf(i_0_55,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
p27_55,
[final] ).
cnf(i_0_56,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,c31))),f5(c33,f8(c34,c30)))
| ~ p29(f22(f8(c34,c30),X1),c37) ),
p27_54,
[final] ).
cnf(i_0_57,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
p10_41,
[final] ).
cnf(i_0_58,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X1)),c31) ),
p29_53,
[final] ).
cnf(i_0_59,negated_conjecture,
( p29(f24(c42,f26(c43,X1)),c39)
| p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
p29_52,
[final] ).
cnf(i_0_60,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
not_p29_17,
[final] ).
cnf(i_0_61,negated_conjecture,
( p11(f12(X1,X2),f12(X3,X4))
| ~ p10(X2,X4)
| ~ p9(X1,X3) ),
p11_45,
[final] ).
cnf(i_0_62,negated_conjecture,
( p13(f19(X1,X2),f19(X3,X4))
| ~ p10(X2,X4)
| ~ p18(X1,X3) ),
p13_46,
[final] ).
cnf(i_0_63,negated_conjecture,
( p16(f26(X1,X2),f26(X3,X4))
| ~ p10(X2,X4)
| ~ p25(X1,X3) ),
p16_47,
[final] ).
cnf(i_0_64,negated_conjecture,
( p20(f21(X1,X2),f21(X3,X4))
| ~ p16(X2,X4)
| ~ p7(X1,X3) ),
p20_48,
[final] ).
cnf(i_0_65,negated_conjecture,
( p3(f8(X1,X2),f8(X3,X4))
| ~ p6(X1,X3)
| ~ p7(X2,X4) ),
p3_49,
[final] ).
cnf(i_0_66,negated_conjecture,
( p4(f22(X1,X2),f22(X3,X4))
| ~ p10(X2,X4)
| ~ p3(X1,X3) ),
p4_50,
[final] ).
cnf(i_0_67,negated_conjecture,
( p4(f24(X1,X2),f24(X3,X4))
| ~ p16(X2,X4)
| ~ p23(X1,X3) ),
p4_51,
[final] ).
cnf(i_0_68,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_42,
[final] ).
cnf(i_0_69,negated_conjecture,
( p10(f17(X1,X2),f17(X3,X4))
| ~ p15(X1,X3)
| ~ p16(X2,X4) ),
p10_44,
[final] ).
cnf(i_0_70,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p10(X2,X4)
| ~ p13(X1,X3) ),
p10_43,
[final] ).
cnf(i_0_71,negated_conjecture,
p27(f12(c32,c37),f5(c33,f8(c34,c30))),
p27_21,
[final] ).
cnf(i_0_72,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p29(f24(c42,X1),c39) ),
p28_37,
[final] ).
cnf(i_0_73,negated_conjecture,
p10(f14(f19(c35,X1),c41),X1),
p10_16,
[final] ).
cnf(i_0_74,negated_conjecture,
( p28(X1,X2)
| ~ p20(X3,X1)
| ~ p28(X3,X4)
| ~ p16(X4,X2) ),
p28_40,
[final] ).
cnf(i_0_75,negated_conjecture,
( p27(X1,X2)
| ~ p27(X3,X4)
| ~ p4(X4,X2)
| ~ p11(X3,X1) ),
p27_39,
[final] ).
cnf(i_0_76,negated_conjecture,
( p29(X1,X2)
| ~ p29(X3,X4)
| ~ p4(X3,X1)
| ~ p10(X4,X2) ),
p29_38,
[final] ).
cnf(i_0_77,negated_conjecture,
( p29(X1,X2)
| ~ p27(f12(c32,X2),X1) ),
p29_18,
[final] ).
cnf(i_0_78,negated_conjecture,
( p27(f12(c32,X1),X2)
| ~ p29(X2,X1) ),
p27_19,
[final] ).
cnf(i_0_79,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X1)
| ~ p11(X3,X2) ),
p11_36,
[final] ).
cnf(i_0_80,negated_conjecture,
( p13(X1,X2)
| ~ p13(X3,X1)
| ~ p13(X3,X2) ),
p13_35,
[final] ).
cnf(i_0_81,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X1)
| ~ p15(X3,X2) ),
p15_34,
[final] ).
cnf(i_0_82,negated_conjecture,
( p16(X1,X2)
| ~ p16(X3,X1)
| ~ p16(X3,X2) ),
p16_33,
[final] ).
cnf(i_0_83,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
p18_32,
[final] ).
cnf(i_0_84,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_31,
[final] ).
cnf(i_0_85,negated_conjecture,
( p20(X1,X2)
| ~ p20(X3,X1)
| ~ p20(X3,X2) ),
p20_30,
[final] ).
cnf(i_0_86,negated_conjecture,
( p23(X1,X2)
| ~ p23(X3,X1)
| ~ p23(X3,X2) ),
p23_29,
[final] ).
cnf(i_0_87,negated_conjecture,
( p25(X1,X2)
| ~ p25(X3,X1)
| ~ p25(X3,X2) ),
p25_28,
[final] ).
cnf(i_0_88,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_27,
[final] ).
cnf(i_0_89,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_26,
[final] ).
cnf(i_0_90,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_25,
[final] ).
cnf(i_0_91,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_24,
[final] ).
cnf(i_0_92,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
p9_23,
[final] ).
cnf(i_0_93,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_22,
[final] ).
cnf(i_0_94,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p16(X1,c40) ),
p28_20,
[final] ).
cnf(i_0_95,negated_conjecture,
p11(X1,X1),
p11_15,
[final] ).
cnf(i_0_96,negated_conjecture,
p13(X1,X1),
p13_14,
[final] ).
cnf(i_0_97,negated_conjecture,
p15(X1,X1),
p15_13,
[final] ).
cnf(i_0_98,negated_conjecture,
p16(X1,X1),
p16_12,
[final] ).
cnf(i_0_99,negated_conjecture,
p18(X1,X1),
p18_11,
[final] ).
cnf(i_0_100,negated_conjecture,
p2(X1,X1),
p2_10,
[final] ).
cnf(i_0_101,negated_conjecture,
p20(X1,X1),
p20_9,
[final] ).
cnf(i_0_102,negated_conjecture,
p23(X1,X1),
p23_8,
[final] ).
cnf(i_0_103,negated_conjecture,
p25(X1,X1),
p25_7,
[final] ).
cnf(i_0_104,negated_conjecture,
p3(X1,X1),
p3_6,
[final] ).
cnf(i_0_105,negated_conjecture,
p4(X1,X1),
p4_5,
[final] ).
cnf(i_0_106,negated_conjecture,
p6(X1,X1),
p6_4,
[final] ).
cnf(i_0_107,negated_conjecture,
p7(X1,X1),
p7_3,
[final] ).
cnf(i_0_108,negated_conjecture,
p9(X1,X1),
p9_2,
[final] ).
cnf(i_0_109,negated_conjecture,
p10(X1,X1),
p10_1,
[final] ).
cnf(i_0_110,plain,
p29(f5(c33,f8(c34,c30)),c37),
inference(scs_inference,[],[i_0_71,i_0_77]) ).
cnf(i_0_112,plain,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference(scs_inference,[],[i_0_57,i_0_109,i_0_71,i_0_77,i_0_93]) ).
cnf(i_0_113,plain,
p10(X1,X1),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_121,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_123,plain,
p10(X1,f14(f19(c35,X1),c41)),
inference(scs_inference,[],[i_0_73,i_0_109,i_0_93]) ).
cnf(i_0_124,plain,
p10(X1,X1),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_127,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_147,plain,
p16(X1,X1),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_164,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_168,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_175,plain,
p10(X1,X1),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_180,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_183,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_186,plain,
p10(X1,X1),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_197,plain,
p10(f14(f19(c35,X1),c41),X1),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_202,plain,
p10(X1,X1),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_209,plain,
p10(f14(f19(c35,X1),c41),X1),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_225,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_228,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_233,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_236,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_247,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_251,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_260,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_307,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_310,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_322,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_329,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_335,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_346,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_351,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_361,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_105]) ).
cnf(c_0_126,negated_conjecture,
( p29(X1,X2)
| ~ p29(X3,X4)
| ~ p4(X3,X1)
| ~ p10(X4,X2) ),
i_0_76 ).
cnf(c_0_127,negated_conjecture,
p4(X1,X1),
i_0_105 ).
cnf(c_0_128,negated_conjecture,
( p29(X1,X2)
| ~ p10(X3,X2)
| ~ p29(X1,X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_129,plain,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
i_0_112 ).
cnf(c_0_130,negated_conjecture,
( p29(X1,X2)
| ~ p27(f12(c32,X2),X1) ),
i_0_77 ).
cnf(c_0_131,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
i_0_55 ).
cnf(c_0_132,plain,
( p29(X1,c38)
| ~ p29(X1,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,X1),f17(c36,X2)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
i_0_60 ).
cnf(c_0_135,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X1)),c31) ),
i_0_58 ).
cnf(c_0_136,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p29(f24(c42,X1),c39) ),
i_0_72 ).
cnf(c_0_137,plain,
( ~ p28(f21(c30,c40),c31)
| ~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_138,negated_conjecture,
( p27(f12(c32,X1),X2)
| ~ p29(X2,X1) ),
i_0_78 ).
cnf(c_0_139,negated_conjecture,
( p29(f24(c42,f26(c43,X1)),c39)
| p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
i_0_59 ).
cnf(c_0_140,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39))
| ~ p29(f24(c42,f26(c43,X1)),c39) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( ~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ p28(f21(c30,c40),c31) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
inference(csr,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
p10(X1,X1),
i_0_109 ).
cnf(c_0_144,negated_conjecture,
~ p28(f21(c30,c40),c31),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).
cnf(c_0_145,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p16(X1,c40) ),
i_0_94 ).
cnf(c_0_146,negated_conjecture,
p16(X1,X1),
i_0_98 ).
cnf(c_0_147,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN673-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:43:47 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 129.07/97.31 % Version : CSE_E---1.7
% 129.07/97.31 % Problem : theBenchmark.p
% 129.07/97.31 % SZS status Unsatisfiable for theBenchmark.p
% 129.07/97.31 % SZS output start CNFRefutation
% See solution above
% 129.56/97.80 % Total time : 96.959s
%------------------------------------------------------------------------------