%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN715-1 : 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 : n019.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 05:39:58 PM UTC 2026
% Result : Unsatisfiable 1.45s 1.75s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of clauses : 82 ( 26 unt; 0 nHn; 59 RR)
% Number of literals : 202 ( 0 equ; 124 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 225 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p63_101,negated_conjecture,
( p63(f24(f26(f30(c73,X1),X2),X3),X4)
| ~ p63(f24(f26(f30(c73,X3),X4),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_101) ).
cnf(p63_69,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_69) ).
cnf(p63_68,negated_conjecture,
( p63(X1,X2)
| ~ p63(X3,X4)
| ~ p7(X4,X2)
| ~ p23(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_68) ).
cnf(p23_25,negated_conjecture,
p23(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_25) ).
cnf(p7_96,negated_conjecture,
( p7(f28(X1,X2),f28(X3,X4))
| ~ p15(X1,X3)
| ~ p27(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_96) ).
cnf(p15_31,negated_conjecture,
p15(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_31) ).
cnf(p10_34,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_34) ).
cnf(p10_71,negated_conjecture,
( p10(f31(X1,X2),f31(X3,X4))
| ~ p18(X1,X3)
| ~ p27(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_71) ).
cnf(p4_49,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_49) ).
cnf(p4_86,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).
cnf(p27_23,negated_conjecture,
p27(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_23) ).
cnf(p18_29,negated_conjecture,
p18(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_29) ).
cnf(p2_28,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(p23_77,negated_conjecture,
( p23(f24(X1,X2),f24(X3,X4))
| ~ p10(X2,X4)
| ~ p22(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_77) ).
cnf(p22_26,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_26) ).
cnf(p62_67,negated_conjecture,
( p62(X1,X2)
| ~ p4(X3,X1)
| ~ p62(X3,X4)
| ~ p27(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_67) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
cnf(p3_21,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).
cnf(p3_54,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_54) ).
cnf(p3_106,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p27_56,negated_conjecture,
( p27(X1,X2)
| ~ p27(X3,X1)
| ~ p27(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_56) ).
cnf(not_p63_103,negated_conjecture,
( ~ p63(f24(f26(f30(c73,X1),X2),f31(X3,X4)),f28(X5,X4))
| ~ p62(f33(f35(f37(f39(f41(c74,X6),X3),X5),X1),X2),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p63_103) ).
cnf(p62_97,negated_conjecture,
( p62(X1,X2)
| ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
cnf(c_0_24,negated_conjecture,
( p63(f24(f26(f30(c73,X1),X2),X3),X4)
| ~ p63(f24(f26(f30(c73,X3),X4),X1),X2) ),
p63_101 ).
cnf(c_0_25,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
p63_69 ).
cnf(c_0_26,negated_conjecture,
( p63(X1,X2)
| ~ p63(X3,X4)
| ~ p7(X4,X2)
| ~ p23(X3,X1) ),
p63_68 ).
cnf(c_0_27,negated_conjecture,
p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( p63(X1,X2)
| ~ p23(f24(f26(f30(c73,c70),c71),f31(c68,c72)),X1)
| ~ p7(f28(c69,c72),X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
p23(X1,X1),
p23_25 ).
cnf(c_0_30,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),X1)
| ~ p7(f28(c69,c72),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( p63(X1,X2)
| ~ p23(f24(f26(f30(c73,c70),c71),f31(c68,c72)),X1)
| ~ p7(f28(c69,c72),X3)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),X1)
| ~ p7(f28(c69,c72),X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( p7(f28(X1,X2),f28(X3,X4))
| ~ p15(X1,X3)
| ~ p27(X2,X4) ),
p7_96 ).
cnf(c_0_34,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),X1)
| ~ p15(c69,X2)
| ~ p27(c72,X3)
| ~ p7(f28(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(X1,X2))
| ~ p15(c69,X3)
| ~ p15(X3,X1)
| ~ p27(c72,X4)
| ~ p27(X4,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
p15(X1,X1),
p15_31 ).
cnf(c_0_37,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(X1,X2))
| ~ p15(c69,X1)
| ~ p27(c72,X3)
| ~ p27(X3,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_34 ).
cnf(c_0_39,negated_conjecture,
( p10(f31(X1,X2),f31(X3,X4))
| ~ p18(X1,X3)
| ~ p27(X2,X4) ),
p10_71 ).
cnf(c_0_40,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_49 ).
cnf(c_0_41,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_86 ).
cnf(c_0_42,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,X1))
| ~ p27(c72,X2)
| ~ p27(X2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
p27(X1,X1),
p27_23 ).
cnf(c_0_44,negated_conjecture,
( p10(X1,f31(X2,X3))
| ~ p18(X4,X2)
| ~ p27(X5,X3)
| ~ p10(f31(X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( p4(X1,f5(X2,X3))
| ~ p2(X4,X2)
| ~ p3(X5,X3)
| ~ p4(f5(X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,X1))
| ~ p27(c72,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( p10(f31(X1,X2),f31(X3,X4))
| ~ p18(X5,X3)
| ~ p18(X5,X1)
| ~ p27(X6,X4)
| ~ p27(X6,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
p18(X1,X1),
p18_29 ).
cnf(c_0_49,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X5,X3)
| ~ p2(X5,X1)
| ~ p3(X6,X4)
| ~ p3(X6,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
p2(X1,X1),
p2_28 ).
cnf(c_0_51,negated_conjecture,
( p63(X1,X2)
| ~ p23(f24(f26(f30(c73,c70),c71),f31(c68,c72)),X1)
| ~ p27(c72,X3)
| ~ p7(f28(c69,X3),X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( p23(f24(X1,X2),f24(X3,X4))
| ~ p10(X2,X4)
| ~ p22(X1,X3) ),
p23_77 ).
cnf(c_0_53,negated_conjecture,
( p10(f31(X1,X2),f31(X3,X4))
| ~ p18(X3,X1)
| ~ p27(X5,X4)
| ~ p27(X5,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X3,X1)
| ~ p3(X5,X4)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( p63(f24(X1,X2),X3)
| ~ p22(f26(f30(c73,c70),c71),X1)
| ~ p27(c72,X4)
| ~ p7(f28(c69,X4),X3)
| ~ p10(f31(c68,c72),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
p22(X1,X1),
p22_26 ).
cnf(c_0_57,negated_conjecture,
( p10(f31(X1,X2),f31(X1,X3))
| ~ p27(X4,X3)
| ~ p27(X4,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
( p62(X1,X2)
| ~ p4(X3,X1)
| ~ p62(X3,X4)
| ~ p27(X4,X2) ),
p62_67 ).
cnf(c_0_59,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
p62_100 ).
cnf(c_0_60,negated_conjecture,
( p4(f5(X1,X2),f5(X1,X3))
| ~ p3(X4,X3)
| ~ p3(X4,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_50]) ).
cnf(c_0_61,negated_conjecture,
p3(X1,X1),
p3_21 ).
cnf(c_0_62,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_54 ).
cnf(c_0_63,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),X1),X2)
| ~ p27(c72,X3)
| ~ p7(f28(c69,X3),X2)
| ~ p10(f31(c68,c72),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( p10(f31(X1,X2),f31(X1,X3))
| ~ p27(X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_43]) ).
cnf(c_0_65,negated_conjecture,
( p62(X1,X2)
| ~ p27(c72,X2)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( p4(f5(X1,X2),f5(X1,X3))
| ~ p3(X3,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
p3_106 ).
cnf(c_0_69,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,X1)),X2)
| ~ p27(c72,X3)
| ~ p27(X1,c72)
| ~ p7(f28(c69,X3),X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_71,negated_conjecture,
( p27(X1,X2)
| ~ p27(X3,X1)
| ~ p27(X3,X2) ),
p27_56 ).
cnf(c_0_72,negated_conjecture,
( p62(f5(c64,X1),X2)
| ~ p27(c72,X2)
| ~ p3(X1,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
p3(f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5)),f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( ~ p63(f24(f26(f30(c73,X1),X2),f31(X3,X4)),f28(X5,X4))
| ~ p62(f33(f35(f37(f39(f41(c74,X6),X3),X5),X1),X2),X4) ),
not_p63_103 ).
cnf(c_0_75,negated_conjecture,
( p63(f24(f26(f30(c73,c70),c71),f31(c68,X1)),f28(c69,X2))
| ~ p27(c72,X2)
| ~ p27(X1,c72) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( p27(X1,X2)
| ~ p27(X2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_43]) ).
cnf(c_0_77,negated_conjecture,
( p62(X1,X2)
| ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2) ),
p62_97 ).
cnf(c_0_78,negated_conjecture,
( p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),X1)
| ~ p27(c72,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( ~ p62(f33(f35(f37(f39(f41(c74,X1),c68),c69),c70),c71),X2)
| ~ p27(c72,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_80,negated_conjecture,
~ p27(c72,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_80,c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN715-1 : 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 : n019.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 08:43:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.45/1.75 % Version : CSE_E---1.7
% 1.45/1.75 % Problem : theBenchmark.p
% 1.45/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.75 % SZS output start CNFRefutation
% See solution above
% 1.45/1.75 % Total time : 1.372s
%------------------------------------------------------------------------------