%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN644-1 : 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 : 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 05:39:49 PM UTC 2026
% Result : Unsatisfiable 48.05s 25.67s
% Output : CNFRefutation 48.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 42
% Syntax : Number of clauses : 122 ( 39 unt; 7 nHn; 85 RR)
% Number of literals : 305 ( 0 equ; 180 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 335 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_42,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
cnf(p12_40,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(f17(f10(X2,f11(X3,X4)),X1))
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_40) ).
cnf(p12_36,negated_conjecture,
( p12(f21(X1,X2,X3,X4,X5),f21(X6,X7,X8,X9,X10))
| ~ p2(X2,X7)
| ~ p2(X3,X8)
| ~ p12(X4,X9)
| ~ p12(X5,X10)
| ~ p2(X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_36) ).
cnf(p12_41,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_41) ).
cnf(p12_39,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(f17(f10(X2,f11(X3,X4)),X1))
| ~ p23(X1,f8(f10(X2,f11(X3,X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_39) ).
cnf(p25_38,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f18(f20(f10(X2,f11(X3,X4)),X1),f19(f3(f4(f5(c26))))))
| ~ p22(f3(f4(f5(c26))),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_38) ).
cnf(p25_37,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X5,f8(f10(X2,f11(X3,X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_37) ).
cnf(p12_33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
cnf(p23_35,negated_conjecture,
( p23(f16(f10(X1,f11(X2,X3)),c32,X4),f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
cnf(not_p12_23,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_23) ).
cnf(p12_34,negated_conjecture,
( p12(f16(X1,X2,X3),f16(X4,X5,X6))
| ~ p15(X2,X5)
| ~ p6(X1,X4)
| ~ p12(X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_34) ).
cnf(f17_is_p24_9,negated_conjecture,
p24(f17(f10(c29,f11(c27,c30)),c28)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f17_is_p24_9) ).
cnf(p23_10,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_10) ).
cnf(p2_31,negated_conjecture,
( p2(f17(X1,X2),f17(X3,X4))
| ~ p12(X2,X4)
| ~ p6(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).
cnf(p6_32,negated_conjecture,
( p6(f10(X1,X2),f10(X3,X4))
| ~ p2(X1,X3)
| ~ p9(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_32) ).
cnf(p9_27,negated_conjecture,
( p9(f11(X1,X2),f11(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_27) ).
cnf(p12_30,negated_conjecture,
( p12(f20(X1,X2),f20(X3,X4))
| ~ p12(X2,X4)
| ~ p6(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_30) ).
cnf(p12_29,negated_conjecture,
( p12(f18(X1,X2),f18(X3,X4))
| ~ p12(X1,X3)
| ~ p12(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_29) ).
cnf(p12_28,negated_conjecture,
( p12(f14(X1,X2),f14(X3,X4))
| ~ p12(X1,X3)
| ~ p12(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_28) ).
cnf(p25_25,negated_conjecture,
( p25(X1,X2)
| ~ p12(X3,X2)
| ~ p25(X4,X3)
| ~ p12(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_25) ).
cnf(p23_26,negated_conjecture,
( p23(X1,X2)
| ~ p23(X3,X4)
| ~ p7(X4,X2)
| ~ p12(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
cnf(p22_24,negated_conjecture,
( p22(X1,X2)
| ~ p2(X3,X2)
| ~ p22(X4,X3)
| ~ p2(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_24) ).
cnf(p15_22,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X1)
| ~ p15(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_22) ).
cnf(p2_21,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
cnf(p6_20,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_20) ).
cnf(p7_19,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_19) ).
cnf(p9_18,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_18) ).
cnf(p12_17,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_17) ).
cnf(p2_14,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_15,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p2_16,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(p7_11,negated_conjecture,
( p7(f8(X1),f8(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_11) ).
cnf(p12_13,negated_conjecture,
( p12(f19(X1),f19(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_13) ).
cnf(p12_12,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p12(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_12) ).
cnf(p22_7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_7) ).
cnf(p24_8,negated_conjecture,
( p24(X1)
| ~ p24(X2)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_8) ).
cnf(p15_6,negated_conjecture,
p15(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p6_4,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
cnf(p12_1,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
cnf(i_0_42,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1)))) ),
p12_42,
[final] ).
cnf(i_0_43,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(f17(f10(X2,f11(X3,X4)),X1))
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1)))) ),
p12_40,
[final] ).
cnf(i_0_44,negated_conjecture,
( p12(f21(X1,X2,X3,X4,X5),f21(X6,X7,X8,X9,X10))
| ~ p2(X2,X7)
| ~ p2(X3,X8)
| ~ p12(X4,X9)
| ~ p12(X5,X10)
| ~ p2(X1,X6) ),
p12_36,
[final] ).
cnf(i_0_45,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4)))) ),
p12_41,
[final] ).
cnf(i_0_46,negated_conjecture,
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(f17(f10(X2,f11(X3,X4)),X1))
| ~ p23(X1,f8(f10(X2,f11(X3,X4)))) ),
p12_39,
[final] ).
cnf(i_0_47,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f18(f20(f10(X2,f11(X3,X4)),X1),f19(f3(f4(f5(c26))))))
| ~ p22(f3(f4(f5(c26))),X3) ),
p25_38,
[final] ).
cnf(i_0_48,negated_conjecture,
( p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X5,f8(f10(X2,f11(X3,X4)))) ),
p25_37,
[final] ).
cnf(i_0_49,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
p12_33,
[final] ).
cnf(i_0_50,negated_conjecture,
( p23(f16(f10(X1,f11(X2,X3)),c32,X4),f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2) ),
p23_35,
[final] ).
cnf(i_0_51,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
not_p12_23,
[final] ).
cnf(i_0_52,negated_conjecture,
( p12(f16(X1,X2,X3),f16(X4,X5,X6))
| ~ p15(X2,X5)
| ~ p6(X1,X4)
| ~ p12(X3,X6) ),
p12_34,
[final] ).
cnf(i_0_53,negated_conjecture,
p24(f17(f10(c29,f11(c27,c30)),c28)),
f17_is_p24_9,
[final] ).
cnf(i_0_54,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
p23_10,
[final] ).
cnf(i_0_55,negated_conjecture,
( p2(f17(X1,X2),f17(X3,X4))
| ~ p12(X2,X4)
| ~ p6(X1,X3) ),
p2_31,
[final] ).
cnf(i_0_56,negated_conjecture,
( p6(f10(X1,X2),f10(X3,X4))
| ~ p2(X1,X3)
| ~ p9(X2,X4) ),
p6_32,
[final] ).
cnf(i_0_57,negated_conjecture,
( p9(f11(X1,X2),f11(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p9_27,
[final] ).
cnf(i_0_58,negated_conjecture,
( p12(f20(X1,X2),f20(X3,X4))
| ~ p12(X2,X4)
| ~ p6(X1,X3) ),
p12_30,
[final] ).
cnf(i_0_59,negated_conjecture,
( p12(f18(X1,X2),f18(X3,X4))
| ~ p12(X1,X3)
| ~ p12(X2,X4) ),
p12_29,
[final] ).
cnf(i_0_60,negated_conjecture,
( p12(f14(X1,X2),f14(X3,X4))
| ~ p12(X1,X3)
| ~ p12(X2,X4) ),
p12_28,
[final] ).
cnf(i_0_61,negated_conjecture,
( p25(X1,X2)
| ~ p12(X3,X2)
| ~ p25(X4,X3)
| ~ p12(X4,X1) ),
p25_25,
[final] ).
cnf(i_0_62,negated_conjecture,
( p23(X1,X2)
| ~ p23(X3,X4)
| ~ p7(X4,X2)
| ~ p12(X3,X1) ),
p23_26,
[final] ).
cnf(i_0_63,negated_conjecture,
( p22(X1,X2)
| ~ p2(X3,X2)
| ~ p22(X4,X3)
| ~ p2(X4,X1) ),
p22_24,
[final] ).
cnf(i_0_64,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X1)
| ~ p15(X3,X2) ),
p15_22,
[final] ).
cnf(i_0_65,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_21,
[final] ).
cnf(i_0_66,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_20,
[final] ).
cnf(i_0_67,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_19,
[final] ).
cnf(i_0_68,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
p9_18,
[final] ).
cnf(i_0_69,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_17,
[final] ).
cnf(i_0_70,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_14,
[final] ).
cnf(i_0_71,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_15,
[final] ).
cnf(i_0_72,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p2_16,
[final] ).
cnf(i_0_73,negated_conjecture,
( p7(f8(X1),f8(X2))
| ~ p6(X1,X2) ),
p7_11,
[final] ).
cnf(i_0_74,negated_conjecture,
( p12(f19(X1),f19(X2))
| ~ p2(X1,X2) ),
p12_13,
[final] ).
cnf(i_0_75,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p12(X1,X2) ),
p12_12,
[final] ).
cnf(i_0_76,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
p22_7,
[final] ).
cnf(i_0_77,negated_conjecture,
( p24(X1)
| ~ p24(X2)
| ~ p2(X2,X1) ),
p24_8,
[final] ).
cnf(i_0_78,negated_conjecture,
p15(X1,X1),
p15_6,
[final] ).
cnf(i_0_79,negated_conjecture,
p2(X1,X1),
p2_5,
[final] ).
cnf(i_0_80,negated_conjecture,
p6(X1,X1),
p6_4,
[final] ).
cnf(i_0_81,negated_conjecture,
p7(X1,X1),
p7_3,
[final] ).
cnf(i_0_82,negated_conjecture,
p9(X1,X1),
p9_2,
[final] ).
cnf(i_0_83,negated_conjecture,
p12(X1,X1),
p12_1,
[final] ).
cnf(i_0_84,plain,
~ p12(f16(f10(c29,f11(c27,c30)),c32,c31),c28),
inference(scs_inference,[],[i_0_83,i_0_51,i_0_69]) ).
cnf(i_0_85,plain,
p12(X1,X1),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_86,plain,
( ~ p12(X1,X2)
| p12(X3,X2)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_87,plain,
~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(scs_inference,[],[i_0_83,i_0_54,i_0_76,i_0_51,i_0_53,i_0_69,i_0_43]) ).
cnf(i_0_88,plain,
( ~ p24(f17(f10(X1,f11(X2,X3)),X4))
| p12(X4,f16(f10(X1,f11(X2,X3)),c32,X5))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p25(f13(f14(X5,X4)),f13(f14(X5,f21(X1,X2,X3,X5,X4))))
| ~ p23(X4,f8(f10(X1,f11(X2,X3)))) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_89,plain,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(scs_inference,[],[i_0_83,i_0_54,i_0_76,i_0_51,i_0_53,i_0_69,i_0_43,i_0_46]) ).
cnf(i_0_90,plain,
( ~ p24(f17(f10(X1,f11(X2,X3)),X4))
| p12(X4,f16(f10(X1,f11(X2,X3)),c32,X5))
| ~ p22(f3(f4(f5(c26))),X2)
| p23(f21(X1,X2,X3,X5,X4),f8(f10(X1,f11(X2,X3))))
| ~ p23(X4,f8(f10(X1,f11(X2,X3)))) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_91,plain,
( p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
| ~ p25(f13(f14(c31,c28)),f13(f14(c31,c28))) ),
inference(scs_inference,[],[i_0_49,i_0_83,i_0_54,i_0_76,i_0_51,i_0_53,i_0_69,i_0_43,i_0_46,i_0_61]) ).
cnf(i_0_92,plain,
( ~ p12(X1,X2)
| p25(X2,X3)
| ~ p12(X4,X3)
| ~ p25(X1,X4) ),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_93,plain,
( p23(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X1)
| ~ p23(f13(f14(c31,c28)),X1) ),
inference(scs_inference,[],[i_0_49,i_0_81,i_0_83,i_0_54,i_0_76,i_0_51,i_0_53,i_0_69,i_0_43,i_0_46,i_0_61,i_0_62]) ).
cnf(i_0_94,plain,
( ~ p7(X1,X2)
| ~ p12(X3,X4)
| p23(X4,X2)
| ~ p23(X3,X1) ),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_95,plain,
( p22(X1,X1)
| ~ p22(X1,X1) ),
inference(scs_inference,[],[i_0_49,i_0_79,i_0_81,i_0_83,i_0_54,i_0_76,i_0_51,i_0_53,i_0_69,i_0_43,i_0_46,i_0_61,i_0_62,i_0_63]) ).
cnf(i_0_96,plain,
( ~ p2(X1,X2)
| p22(X2,X3)
| ~ p2(X4,X3)
| ~ p22(X1,X4) ),
inference(rename_variables,[],[i_0_63]) ).
cnf(i_0_97,plain,
( ~ p12(X1,f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p25(f13(f14(c31,c28)),X1) ),
inference(scs_inference,[],[i_0_87,i_0_83,i_0_61]) ).
cnf(i_0_98,plain,
p12(X1,X1),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_99,plain,
( ~ p12(X1,X2)
| p25(X2,X3)
| ~ p12(X4,X3)
| ~ p25(X1,X4) ),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_100,plain,
p12(f13(f13(f14(c31,c28))),f13(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
inference(scs_inference,[],[i_0_49,i_0_75]) ).
cnf(i_0_101,plain,
( ~ p12(X1,X2)
| p12(f13(X1),f13(X2)) ),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_102,plain,
p23(f16(f10(X1,f11(c27,X2)),c32,X3),f8(f10(X1,f11(c27,X2)))),
inference(scs_inference,[],[i_0_49,i_0_76,i_0_75,i_0_50]) ).
cnf(i_0_103,plain,
( ~ p22(f3(f4(f5(c26))),X1)
| p23(f16(f10(X2,f11(X1,X3)),c32,X4),f8(f10(X2,f11(X1,X3)))) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_104,plain,
p25(f13(f14(X1,f16(f10(X2,f11(c27,X3)),c32,X1))),f18(f20(f10(X2,f11(c27,X3)),X1),f19(f3(f4(f5(c26)))))),
inference(scs_inference,[],[i_0_49,i_0_76,i_0_75,i_0_50,i_0_47]) ).
cnf(i_0_105,plain,
( ~ p22(f3(f4(f5(c26))),X1)
| p25(f13(f14(X2,f16(f10(X3,f11(X1,X4)),c32,X2))),f18(f20(f10(X3,f11(X1,X4)),X2),f19(f3(f4(f5(c26)))))) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_106,plain,
p2(f17(X1,f13(f14(c31,c28))),f17(X1,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
inference(scs_inference,[],[i_0_49,i_0_80,i_0_76,i_0_75,i_0_50,i_0_47,i_0_55]) ).
cnf(i_0_107,plain,
( ~ p12(X1,X2)
| ~ p6(X3,X4)
| p2(f17(X3,X1),f17(X4,X2)) ),
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_108,plain,
p12(f20(X1,f13(f14(c31,c28))),f20(X1,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
inference(scs_inference,[],[i_0_49,i_0_80,i_0_76,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58]) ).
cnf(i_0_109,plain,
( ~ p12(X1,X2)
| ~ p6(X3,X4)
| p12(f20(X3,X1),f20(X4,X2)) ),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_110,plain,
p12(f18(X1,f13(f14(c31,c28))),f18(X1,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
inference(scs_inference,[],[i_0_49,i_0_80,i_0_76,i_0_83,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58,i_0_59]) ).
cnf(i_0_111,plain,
( ~ p12(X1,X2)
| ~ p12(X3,X4)
| p12(f18(X1,X3),f18(X2,X4)) ),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_112,plain,
p12(f14(X1,f13(f14(c31,c28))),f14(X1,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
inference(scs_inference,[],[i_0_49,i_0_80,i_0_76,i_0_83,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58,i_0_59,i_0_60]) ).
cnf(i_0_113,plain,
( ~ p12(X1,X2)
| ~ p12(X3,X4)
| p12(f14(X1,X3),f14(X2,X4)) ),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_114,plain,
p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,c31,c28)))),
inference(scs_inference,[],[i_0_49,i_0_89,i_0_80,i_0_76,i_0_83,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58,i_0_59,i_0_60,i_0_48]) ).
cnf(i_0_115,plain,
( ~ p22(f3(f4(f5(c26))),X1)
| ~ p23(X2,f8(f10(X3,f11(X1,X4))))
| p25(f13(f14(X5,f16(f10(X3,f11(X1,X4)),c32,X5))),f13(f14(X5,X2))) ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_116,plain,
p12(f16(X1,X2,f13(f14(c31,c28))),f16(X1,X2,f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
inference(scs_inference,[],[i_0_49,i_0_89,i_0_78,i_0_80,i_0_76,i_0_83,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58,i_0_59,i_0_60,i_0_48,i_0_52]) ).
cnf(i_0_117,plain,
( ~ p15(X1,X2)
| ~ p6(X3,X4)
| ~ p12(X5,X6)
| p12(f16(X3,X1,X5),f16(X4,X2,X6)) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_118,plain,
~ p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(scs_inference,[],[i_0_49,i_0_89,i_0_78,i_0_80,i_0_87,i_0_76,i_0_83,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58,i_0_59,i_0_60,i_0_48,i_0_52,i_0_61]) ).
cnf(i_0_119,plain,
p12(X1,X1),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_120,plain,
( p25(X1,X2)
| ~ p12(X3,X2)
| ~ p25(X4,X3)
| ~ p12(X4,X1) ),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_121,plain,
$false,
inference(scs_inference,[],[i_0_49,i_0_89,i_0_78,i_0_80,i_0_87,i_0_76,i_0_83,i_0_119,i_0_75,i_0_50,i_0_47,i_0_55,i_0_58,i_0_59,i_0_60,i_0_48,i_0_52,i_0_61,i_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN644-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:42:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 48.05/25.67 % Version : CSE_E---1.7
% 48.05/25.67 % Problem : theBenchmark.p
% 48.05/25.67 % SZS status Unsatisfiable for theBenchmark.p
% 48.05/25.67 % SZS output start CNFRefutation
% See solution above
% 48.20/25.78 % Total time : 25.323s
%------------------------------------------------------------------------------