%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN607-1 : 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 : n029.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 05:39:44 PM UTC 2026
% Result : Unsatisfiable 4.59s 5.58s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 30
% Syntax : Number of clauses : 81 ( 37 unt; 3 nHn; 70 RR)
% Number of literals : 160 ( 0 equ; 89 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 140 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_30,negated_conjecture,
( p5(X1,f7(c20))
| p3(c19,f4(f6(f7(c20))))
| p17(f9(f10(f4(f6(f7(f8(c20)))),f11(c19,f12(f13(X1),X1)))),f6(f7(f8(c20))))
| ~ p18(X1,c21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_30) ).
cnf(not_p17_29,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_29) ).
cnf(p3_28,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_28) ).
cnf(p17_27,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_27) ).
cnf(p3_22,negated_conjecture,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
cnf(p3_25,negated_conjecture,
( p3(f11(X1,X2),f11(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_25) ).
cnf(p3_24,negated_conjecture,
( p3(f10(X1,X2),f10(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).
cnf(p3_23,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_23) ).
cnf(p3_26,negated_conjecture,
( p3(f12(X1,X2),f12(X3,X4))
| ~ p3(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).
cnf(p18_21,negated_conjecture,
( p18(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X4,X2)
| ~ p18(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_21) ).
cnf(p17_20,negated_conjecture,
( p17(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p17(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_20) ).
cnf(not_p3_7,negated_conjecture,
~ p3(c19,f4(f6(f7(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
cnf(p3_19,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_19) ).
cnf(p5_18,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).
cnf(p2_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(p3_13,negated_conjecture,
( p3(f13(X1),f13(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
cnf(p3_14,negated_conjecture,
( p3(f15(X1),f15(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
cnf(p3_15,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
cnf(p5_10,negated_conjecture,
( p5(f8(X1),f8(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_10) ).
cnf(p5_16,negated_conjecture,
( p5(f7(X1),f7(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
cnf(p2_12,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_11,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p3_8,negated_conjecture,
p3(f12(f15(c22),c21),f15(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p16_9,negated_conjecture,
( p16(X1)
| ~ p16(X2)
| ~ p5(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_9) ).
cnf(p3_6,negated_conjecture,
p3(f12(c22,c21),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(not_p5_5,negated_conjecture,
~ p5(c21,f7(c20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_5) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(p5_3,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(c21_is_not_p16_1,negated_conjecture,
~ p16(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_not_p16_1) ).
cnf(i_0_30,negated_conjecture,
( p5(X1,f7(c20))
| p3(c19,f4(f6(f7(c20))))
| p17(f9(f10(f4(f6(f7(f8(c20)))),f11(c19,f12(f13(X1),X1)))),f6(f7(f8(c20))))
| ~ p18(X1,c21) ),
p5_30,
[final] ).
cnf(i_0_31,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
not_p17_29,
[final] ).
cnf(i_0_32,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
p3_28,
[final] ).
cnf(i_0_33,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
p17_27,
[final] ).
cnf(i_0_34,negated_conjecture,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
p3_22,
[final] ).
cnf(i_0_35,negated_conjecture,
( p3(f11(X1,X2),f11(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p3_25,
[final] ).
cnf(i_0_36,negated_conjecture,
( p3(f10(X1,X2),f10(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p3_24,
[final] ).
cnf(i_0_37,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p3_23,
[final] ).
cnf(i_0_38,negated_conjecture,
( p3(f12(X1,X2),f12(X3,X4))
| ~ p3(X1,X3)
| ~ p5(X2,X4) ),
p3_26,
[final] ).
cnf(i_0_39,negated_conjecture,
( p18(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X4,X2)
| ~ p18(X3,X4) ),
p18_21,
[final] ).
cnf(i_0_40,negated_conjecture,
( p17(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p17(X3,X4) ),
p17_20,
[final] ).
cnf(i_0_41,negated_conjecture,
~ p3(c19,f4(f6(f7(c20)))),
not_p3_7,
[final] ).
cnf(i_0_42,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_19,
[final] ).
cnf(i_0_43,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_18,
[final] ).
cnf(i_0_44,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_17,
[final] ).
cnf(i_0_45,negated_conjecture,
( p3(f13(X1),f13(X2))
| ~ p5(X1,X2) ),
p3_13,
[final] ).
cnf(i_0_46,negated_conjecture,
( p3(f15(X1),f15(X2))
| ~ p3(X1,X2) ),
p3_14,
[final] ).
cnf(i_0_47,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_15,
[final] ).
cnf(i_0_48,negated_conjecture,
( p5(f8(X1),f8(X2))
| ~ p5(X1,X2) ),
p5_10,
[final] ).
cnf(i_0_49,negated_conjecture,
( p5(f7(X1),f7(X2))
| ~ p5(X1,X2) ),
p5_16,
[final] ).
cnf(i_0_50,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
p2_12,
[final] ).
cnf(i_0_51,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
p2_11,
[final] ).
cnf(i_0_52,negated_conjecture,
p3(f12(f15(c22),c21),f15(c22)),
p3_8,
[final] ).
cnf(i_0_53,negated_conjecture,
( p16(X1)
| ~ p16(X2)
| ~ p5(X2,X1) ),
p16_9,
[final] ).
cnf(i_0_54,negated_conjecture,
p3(f12(c22,c21),c22),
p3_6,
[final] ).
cnf(i_0_55,negated_conjecture,
~ p5(c21,f7(c20)),
not_p5_5,
[final] ).
cnf(i_0_56,negated_conjecture,
p3(X1,X1),
p3_4,
[final] ).
cnf(i_0_57,negated_conjecture,
p5(X1,X1),
p5_3,
[final] ).
cnf(i_0_58,negated_conjecture,
p2(X1,X1),
p2_2,
[final] ).
cnf(i_0_59,negated_conjecture,
~ p16(c21),
c21_is_not_p16_1,
[final] ).
cnf(i_0_60,plain,
( ~ p18(X1,c21)
| p5(X1,f7(c20))
| p17(f9(f10(f4(f6(f7(f8(c20)))),f11(c19,f12(f13(X1),X1)))),f6(f7(f8(c20)))) ),
inference(scs_inference,[],[i_0_41,i_0_30]) ).
cnf(i_0_61,plain,
~ p3(f4(f6(f7(c20))),c19),
inference(scs_inference,[],[i_0_56,i_0_41,i_0_42]) ).
cnf(i_0_62,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_63,plain,
( ~ p3(X1,X2)
| p3(X3,X2)
| ~ p3(X1,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_64,plain,
~ p5(f7(c20),c21),
inference(scs_inference,[],[i_0_56,i_0_57,i_0_55,i_0_41,i_0_42,i_0_43]) ).
cnf(i_0_65,plain,
p5(X1,X1),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_66,plain,
( ~ p5(X1,X2)
| p5(X3,X2)
| ~ p5(X1,X3) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_67,plain,
~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21)))),
inference(scs_inference,[],[i_0_31,i_0_56,i_0_57,i_0_58,i_0_55,i_0_33,i_0_41,i_0_42,i_0_43,i_0_40]) ).
cnf(i_0_68,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_69,plain,
( ~ p17(X1,X2)
| p17(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_70,plain,
~ p3(f10(f14(f4(f9(c19)),c19),f15(c22)),f10(f14(f4(f9(c19)),c19),f12(X1,c21))),
inference(scs_inference,[],[i_0_31,i_0_56,i_0_57,i_0_58,i_0_55,i_0_33,i_0_41,i_0_42,i_0_43,i_0_40,i_0_50]) ).
cnf(i_0_71,plain,
( p2(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_72,plain,
~ p3(f15(c22),f12(X1,c21)),
inference(scs_inference,[],[i_0_31,i_0_56,i_0_62,i_0_57,i_0_58,i_0_55,i_0_33,i_0_41,i_0_42,i_0_43,i_0_40,i_0_50,i_0_36]) ).
cnf(i_0_73,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_74,plain,
( p3(f10(X1,X2),f10(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_75,plain,
~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f9(f10(f14(f4(f9(c19)),c19),f15(c22)))),
inference(scs_inference,[],[i_0_31,i_0_56,i_0_62,i_0_57,i_0_58,i_0_68,i_0_55,i_0_33,i_0_41,i_0_42,i_0_43,i_0_40,i_0_50,i_0_36,i_0_44]) ).
cnf(i_0_76,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_77,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_78,plain,
~ p3(f10(f14(f4(f9(c19)),c19),f12(X1,c21)),f10(f14(f4(f9(c19)),c19),f15(c22))),
inference(scs_inference,[],[i_0_75,i_0_50]) ).
cnf(i_0_79,plain,
( p2(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_80,plain,
$false,
inference(scs_inference,[],[i_0_75,i_0_52,i_0_56,i_0_50,i_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN607-1 : 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
% 0.12/0.30 % Computer : n029.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue May 5 08:40:14 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 4.59/5.58 % Version : CSE_E---1.7
% 4.59/5.58 % Problem : theBenchmark.p
% 4.59/5.58 % SZS status Unsatisfiable for theBenchmark.p
% 4.59/5.58 % SZS output start CNFRefutation
% See solution above
% 4.63/5.64 % Total time : 5.272s
%------------------------------------------------------------------------------