%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN630-1 : 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 : n026.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 05:39:47 PM UTC 2026
% Result : Unsatisfiable 0.40s 1.62s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 36
% Syntax : Number of clauses : 73 ( 19 unt; 4 nHn; 53 RR)
% Number of literals : 203 ( 0 equ; 128 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-2 aty)
% Number of variables : 232 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_36,negated_conjecture,
( p3(X1,f16(f9(c29)))
| p4(f20(f7(X2,f8(X3,X4)),X1),X5)
| ~ p21(X5,f9(f10(f11(c29))))
| ~ p21(X6,f12(f9(f10(f11(c29))),X3))
| ~ p22(f12(f9(f10(f11(c29))),f18(X3,f9(f11(c29)))),X6)
| ~ p3(X1,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X6),f15(f16(f9(f10(f11(c29)))),X4))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
cnf(p4_35,negated_conjecture,
( p4(f19(f7(X1,f8(X2,X3)),X4),X5)
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X7,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X7)
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X5),f14(f16(X7),f15(f16(f9(f10(f11(c29)))),X3))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_35) ).
cnf(p4_34,negated_conjecture,
( p4(f5(f7(X1,f8(X2,X3)),X4),X5)
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).
cnf(p3_33,negated_conjecture,
( p3(X1,f16(f9(c29)))
| p4(f20(f7(X2,f8(X3,X4)),X1),X5)
| ~ p4(X6,f9(c29))
| ~ p21(X5,f9(f10(f11(c29))))
| ~ p21(X7,f12(f9(f10(f11(c29))),X3))
| ~ p3(X1,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X7),f15(f16(f9(f10(f11(c29)))),X4))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
cnf(p4_32,negated_conjecture,
( p4(f19(f7(X1,f8(X2,X3)),X4),X5)
| ~ p4(X5,f9(c29))
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X7,f12(f9(f10(f11(c29))),X2))
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X5),f14(f16(X7),f15(f16(f9(f10(f11(c29)))),X3))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
cnf(p4_31,negated_conjecture,
( p4(f5(f7(X1,f8(X2,X3)),X4),X5)
| ~ p4(X6,f9(c29))
| ~ p21(X7,f9(f10(f11(c29))))
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X7),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_31) ).
cnf(p3_30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).
cnf(not_p4_12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_12) ).
cnf(p22_17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_17) ).
cnf(p3_24,negated_conjecture,
( p3(f15(X1,X2),f15(X3,X4))
| ~ p3(X1,X3)
| ~ p4(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_22,negated_conjecture,
( p3(f13(X1,X2),f13(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
cnf(p4_28,negated_conjecture,
( p4(f20(X1,X2),f20(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_28) ).
cnf(p4_27,negated_conjecture,
( p4(f19(X1,X2),f19(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_27) ).
cnf(p4_26,negated_conjecture,
( p4(f18(X1,X2),f18(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_26) ).
cnf(p4_29,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_29) ).
cnf(p4_25,negated_conjecture,
( p4(f12(X1,X2),f12(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_25) ).
cnf(p6_20,negated_conjecture,
( p6(f8(X1,X2),f8(X3,X4))
| ~ p4(X2,X4)
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_20) ).
cnf(p2_21,negated_conjecture,
( p2(f7(X1,X2),f7(X3,X4))
| ~ p4(X1,X3)
| ~ p6(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
cnf(p21_6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_6) ).
cnf(p22_19,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_19) ).
cnf(p21_18,negated_conjecture,
( p21(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p21(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_18) ).
cnf(p3_16,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
cnf(p4_15,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_15) ).
cnf(p6_14,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
cnf(p3_9,negated_conjecture,
( p3(f17(X1),f17(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
cnf(p3_8,negated_conjecture,
( p3(f16(X1),f16(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p4_7,negated_conjecture,
( p4(f9(X1),f9(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
cnf(p4_10,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
cnf(p4_11,negated_conjecture,
( p4(f11(X1),f11(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
cnf(p21_5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_5) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_36,negated_conjecture,
( p3(X1,f16(f9(c29)))
| p4(f20(f7(X2,f8(X3,X4)),X1),X5)
| ~ p21(X5,f9(f10(f11(c29))))
| ~ p21(X6,f12(f9(f10(f11(c29))),X3))
| ~ p22(f12(f9(f10(f11(c29))),f18(X3,f9(f11(c29)))),X6)
| ~ p3(X1,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X6),f15(f16(f9(f10(f11(c29)))),X4))))) ),
p3_36,
[final] ).
cnf(i_0_37,negated_conjecture,
( p4(f19(f7(X1,f8(X2,X3)),X4),X5)
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X7,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X7)
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X5),f14(f16(X7),f15(f16(f9(f10(f11(c29)))),X3))))) ),
p4_35,
[final] ).
cnf(i_0_38,negated_conjecture,
( p4(f5(f7(X1,f8(X2,X3)),X4),X5)
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3))))) ),
p4_34,
[final] ).
cnf(i_0_39,negated_conjecture,
( p3(X1,f16(f9(c29)))
| p4(f20(f7(X2,f8(X3,X4)),X1),X5)
| ~ p4(X6,f9(c29))
| ~ p21(X5,f9(f10(f11(c29))))
| ~ p21(X7,f12(f9(f10(f11(c29))),X3))
| ~ p3(X1,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X7),f15(f16(f9(f10(f11(c29)))),X4))))) ),
p3_33,
[final] ).
cnf(i_0_40,negated_conjecture,
( p4(f19(f7(X1,f8(X2,X3)),X4),X5)
| ~ p4(X5,f9(c29))
| ~ p21(X6,f9(f10(f11(c29))))
| ~ p21(X7,f12(f9(f10(f11(c29))),X2))
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X5),f14(f16(X7),f15(f16(f9(f10(f11(c29)))),X3))))) ),
p4_32,
[final] ).
cnf(i_0_41,negated_conjecture,
( p4(f5(f7(X1,f8(X2,X3)),X4),X5)
| ~ p4(X6,f9(c29))
| ~ p21(X7,f9(f10(f11(c29))))
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X7),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3))))) ),
p4_31,
[final] ).
cnf(i_0_42,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
p3_30,
[final] ).
cnf(i_0_43,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
not_p4_12,
[final] ).
cnf(i_0_44,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
p22_17,
[final] ).
cnf(i_0_45,negated_conjecture,
( p3(f15(X1,X2),f15(X3,X4))
| ~ p3(X1,X3)
| ~ p4(X2,X4) ),
p3_24,
[final] ).
cnf(i_0_46,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p3_23,
[final] ).
cnf(i_0_47,negated_conjecture,
( p3(f13(X1,X2),f13(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p3_22,
[final] ).
cnf(i_0_48,negated_conjecture,
( p4(f20(X1,X2),f20(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_28,
[final] ).
cnf(i_0_49,negated_conjecture,
( p4(f19(X1,X2),f19(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_27,
[final] ).
cnf(i_0_50,negated_conjecture,
( p4(f18(X1,X2),f18(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_26,
[final] ).
cnf(i_0_51,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_29,
[final] ).
cnf(i_0_52,negated_conjecture,
( p4(f12(X1,X2),f12(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_25,
[final] ).
cnf(i_0_53,negated_conjecture,
( p6(f8(X1,X2),f8(X3,X4))
| ~ p4(X2,X4)
| ~ p4(X1,X3) ),
p6_20,
[final] ).
cnf(i_0_54,negated_conjecture,
( p2(f7(X1,X2),f7(X3,X4))
| ~ p4(X1,X3)
| ~ p6(X2,X4) ),
p2_21,
[final] ).
cnf(i_0_55,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
p21_6,
[final] ).
cnf(i_0_56,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
p22_19,
[final] ).
cnf(i_0_57,negated_conjecture,
( p21(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p21(X3,X4) ),
p21_18,
[final] ).
cnf(i_0_58,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_16,
[final] ).
cnf(i_0_59,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_15,
[final] ).
cnf(i_0_60,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_14,
[final] ).
cnf(i_0_61,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_13,
[final] ).
cnf(i_0_62,negated_conjecture,
( p3(f17(X1),f17(X2))
| ~ p3(X1,X2) ),
p3_9,
[final] ).
cnf(i_0_63,negated_conjecture,
( p3(f16(X1),f16(X2))
| ~ p4(X1,X2) ),
p3_8,
[final] ).
cnf(i_0_64,negated_conjecture,
( p4(f9(X1),f9(X2))
| ~ p4(X1,X2) ),
p4_7,
[final] ).
cnf(i_0_65,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p4(X1,X2) ),
p4_10,
[final] ).
cnf(i_0_66,negated_conjecture,
( p4(f11(X1),f11(X2))
| ~ p4(X1,X2) ),
p4_11,
[final] ).
cnf(i_0_67,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
p21_5,
[final] ).
cnf(i_0_68,negated_conjecture,
p3(X1,X1),
p3_4,
[final] ).
cnf(i_0_69,negated_conjecture,
p4(X1,X1),
p4_3,
[final] ).
cnf(i_0_70,negated_conjecture,
p6(X1,X1),
p6_2,
[final] ).
cnf(i_0_71,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_72,plain,
$false,
inference(scs_inference,[],[i_0_43,i_0_67,i_0_55,i_0_44,i_0_42,i_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN630-1 : 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
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:41:23 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.40/1.62 % Version : CSE_E---1.7
% 0.40/1.62 % Problem : theBenchmark.p
% 0.40/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.40/1.62 % SZS output start CNFRefutation
% See solution above
% 0.40/1.64 % Total time : 1.272s
%------------------------------------------------------------------------------