%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN713-1 : 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 : n013.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 8.24s 5.71s
% Output : CNFRefutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of clauses : 67 ( 24 unt; 2 nHn; 48 RR)
% Number of literals : 147 ( 0 equ; 83 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_40,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_40) ).
cnf(p10_81,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X1,X3)
| ~ p13(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_81) ).
cnf(p12_34,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_34) ).
cnf(p13_72,negated_conjecture,
( p13(X1,X2)
| ~ p13(X3,X1)
| ~ p13(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_72) ).
cnf(p13_33,negated_conjecture,
p13(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_33) ).
cnf(p13_105,negated_conjecture,
( p13(X1,f23(c74,X2))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| ~ p59(f38(c72,X2),f35(c73,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_105) ).
cnf(p59_35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_35) ).
cnf(not_p58_80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p58_80) ).
cnf(p4_54,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_54) ).
cnf(p4_87,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p10(X2,X4)
| ~ p9(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_87) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p56_76,negated_conjecture,
( p56(X1,X2)
| ~ p40(X3,X2)
| ~ p56(X4,X3)
| ~ p4(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_76) ).
cnf(p56_38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_38) ).
cnf(not_p57_39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_39) ).
cnf(p57_74,negated_conjecture,
( p57(f26(f28(c71,X1),X2),X3)
| ~ p57(f26(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_74) ).
cnf(p57_101,negated_conjecture,
( p57(f26(f41(c78,X1),X2),X3)
| ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_101) ).
cnf(p40_14,negated_conjecture,
p40(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40_14) ).
cnf(c_0_18,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_40 ).
cnf(c_0_19,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X1,X3)
| ~ p13(X2,X4) ),
p10_81 ).
cnf(c_0_20,negated_conjecture,
( p10(X1,f14(X2,X3))
| ~ p12(X4,X2)
| ~ p13(X5,X3)
| ~ p10(f14(X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X5,X3)
| ~ p12(X5,X1)
| ~ p13(X6,X4)
| ~ p13(X6,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
p12(X1,X1),
p12_34 ).
cnf(c_0_23,negated_conjecture,
( p13(X1,X2)
| ~ p13(X3,X1)
| ~ p13(X3,X2) ),
p13_72 ).
cnf(c_0_24,negated_conjecture,
p13(X1,X1),
p13_33 ).
cnf(c_0_25,negated_conjecture,
( p13(X1,f23(c74,X2))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| ~ p59(f38(c72,X2),f35(c73,X1)) ),
p13_105 ).
cnf(c_0_26,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
p59_35 ).
cnf(c_0_27,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
not_p58_80 ).
cnf(c_0_28,negated_conjecture,
( p10(f14(X1,X2),f14(X3,X4))
| ~ p12(X3,X1)
| ~ p13(X5,X4)
| ~ p13(X5,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( p13(X1,X2)
| ~ p13(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
p13(c68,f23(c74,c77)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( p10(f14(X1,X2),f14(X1,X3))
| ~ p13(X4,X3)
| ~ p13(X4,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
p13(f23(c74,c77),c68),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_54 ).
cnf(c_0_34,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p10(X2,X4)
| ~ p9(X1,X3) ),
p4_87 ).
cnf(c_0_35,negated_conjecture,
( p10(f14(X1,X2),f14(X1,c68))
| ~ p13(f23(c74,c77),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( p13(X1,f23(c74,c77))
| ~ p13(c68,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( p4(X1,f11(X2,X3))
| ~ p4(f11(X4,X5),X1)
| ~ p9(X4,X2)
| ~ p10(X5,X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( p10(X1,f14(X2,c68))
| ~ p13(f23(c74,c77),X3)
| ~ p10(f14(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( p13(f23(c74,c77),X1)
| ~ p13(c68,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p9(X5,X3)
| ~ p9(X5,X1)
| ~ p10(X6,X4)
| ~ p10(X6,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_42,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_43,negated_conjecture,
( p10(X1,f14(X2,c68))
| ~ p13(c68,X3)
| ~ p10(f14(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p9(X3,X1)
| ~ p10(X5,X4)
| ~ p10(X5,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( p10(f14(X1,X2),f14(X1,c68))
| ~ p13(c68,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( p10(X1,f14(X2,c68))
| ~ p10(f14(X2,f23(c74,c77)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_30])]) ).
cnf(c_0_48,negated_conjecture,
( p56(X1,X2)
| ~ p40(X3,X2)
| ~ p56(X4,X3)
| ~ p4(X4,X1) ),
p56_76 ).
cnf(c_0_49,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
p56_38 ).
cnf(c_0_50,negated_conjecture,
( p4(f11(X1,X2),f11(X1,X3))
| ~ p10(X4,X3)
| ~ p10(X4,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( p10(f14(X1,c68),f14(X1,X2))
| ~ p13(c68,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
p10(f14(X1,f23(c74,c77)),f14(X1,c68)),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( p56(X1,X2)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),X1)
| ~ p40(c64,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( p4(f11(X1,X2),f11(X1,X3))
| ~ p10(X3,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_42]) ).
cnf(c_0_55,negated_conjecture,
( p10(X1,f14(X2,X3))
| ~ p13(c68,X3)
| ~ p10(f14(X2,c68),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
p10(f14(X1,c68),f14(X1,f23(c74,c77))),
inference(spm,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( p56(f11(c65,X1),X2)
| ~ p40(c64,X2)
| ~ p10(X1,f14(f17(c66,c67),c68)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( p10(f14(X1,f23(c74,c77)),f14(X1,X2))
| ~ p13(c68,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
not_p57_39 ).
cnf(c_0_60,negated_conjecture,
( p57(f26(f28(c71,X1),X2),X3)
| ~ p57(f26(X1,X2),X3) ),
p57_74 ).
cnf(c_0_61,negated_conjecture,
( p57(f26(f41(c78,X1),X2),X3)
| ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1) ),
p57_101 ).
cnf(c_0_62,negated_conjecture,
( p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),X1)
| ~ p40(c64,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_24])]) ).
cnf(c_0_63,negated_conjecture,
~ p57(f26(f41(c78,c64),c67),c77),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( p57(f26(f41(c78,X1),c67),c77)
| ~ p40(c64,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
p40(X1,X1),
p40_14 ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN713-1 : 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 : n013.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 08:43:41 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 8.24/5.71 % Version : CSE_E---1.7
% 8.24/5.71 % Problem : theBenchmark.p
% 8.24/5.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.24/5.71 % SZS output start CNFRefutation
% See solution above
% 8.24/5.73 % Total time : 4.368s
%------------------------------------------------------------------------------