%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN586-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 05:39:41 PM UTC 2026
% Result : Unsatisfiable 7.89s 5.76s
% Output : CNFRefutation 7.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of clauses : 62 ( 23 unt; 6 nHn; 54 RR)
% Number of literals : 138 ( 0 equ; 70 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_26,negated_conjecture,
( p3(X1,X2)
| p12(f13(X3),f13(c18))
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_18) ).
cnf(not_p15_23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_23) ).
cnf(not_p12_6,negated_conjecture,
~ p12(f13(c20),f13(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_6) ).
cnf(p12_24,negated_conjecture,
( p12(f13(X1),f13(c18))
| p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
cnf(p12_25,negated_conjecture,
( p12(f13(X1),f13(c18))
| ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_25) ).
cnf(p3_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
cnf(p3_19,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p5_2,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).
cnf(p3_12,negated_conjecture,
( p3(f11(X1),f11(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
cnf(p15_17,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
cnf(p15_22,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_22) ).
cnf(p3_5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(p2_20,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(c_0_16,negated_conjecture,
( p3(X1,X2)
| p12(f13(X3),f13(c18))
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3) ),
p3_26 ).
cnf(c_0_17,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
p15_18 ).
cnf(c_0_18,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
not_p15_23 ).
cnf(c_0_19,negated_conjecture,
~ p12(f13(c20),f13(c18)),
not_p12_6 ).
cnf(c_0_20,negated_conjecture,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X1)),c20)
| p3(X1,c19)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1),c20) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( p12(f13(X1),f13(c18))
| p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1) ),
p12_24 ).
cnf(c_0_22,negated_conjecture,
( p12(f13(X1),f13(c18))
| ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1) ),
p12_25 ).
cnf(c_0_23,negated_conjecture,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,c16))),c20)
| p3(f14(c20,c16),c19) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_15 ).
cnf(c_0_25,negated_conjecture,
p3(f14(c20,c16),c19),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( p3(X1,c19)
| ~ p3(f14(c20,c16),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
p3_19 ).
cnf(c_0_28,negated_conjecture,
( p3(f14(X1,X2),c19)
| ~ p2(c20,X1)
| ~ p5(c16,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( p3(X1,c19)
| ~ p2(c20,X2)
| ~ p3(f14(X2,X3),X1)
| ~ p5(c16,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_31,negated_conjecture,
( p3(f14(X1,X2),c19)
| ~ p2(c20,X3)
| ~ p2(X3,X1)
| ~ p5(c16,X4)
| ~ p5(X4,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_33,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( p3(f14(X1,X2),c19)
| ~ p2(c20,X1)
| ~ p5(c16,X3)
| ~ p5(X3,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
p3(c19,f14(c20,c16)),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_36,negated_conjecture,
( p3(f14(c20,X1),c19)
| ~ p5(c16,X2)
| ~ p5(X2,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
p5(X1,X1),
p5_2 ).
cnf(c_0_38,negated_conjecture,
( p3(X1,f14(c20,c16))
| ~ p3(c19,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( p3(f14(c20,X1),c19)
| ~ p5(c16,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( p3(f11(X1),f11(X2))
| ~ p3(X1,X2) ),
p3_12 ).
cnf(c_0_41,negated_conjecture,
( p3(X1,f14(c20,c16))
| ~ p3(c19,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( p3(c19,f14(c20,X1))
| ~ p5(c16,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( p3(X1,f11(X2))
| ~ p3(f11(X3),X1)
| ~ p3(X3,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( p3(X1,f14(c20,c16))
| ~ p3(f14(c20,X2),X1)
| ~ p5(c16,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( p3(f11(X1),f11(X2))
| ~ p3(X3,X2)
| ~ p3(X3,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( p3(f14(c20,X1),f14(c20,c16))
| ~ p5(c16,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_47,negated_conjecture,
( p3(f11(X1),f11(f14(c20,c16)))
| ~ p3(f14(c20,X2),X1)
| ~ p5(c16,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
p15_17 ).
cnf(c_0_49,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
p15_22 ).
cnf(c_0_50,negated_conjecture,
p3(f11(c19),f11(f14(c20,c16))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_25]),c_0_37])]) ).
cnf(c_0_51,negated_conjecture,
p3(c21,c19),
p3_5 ).
cnf(c_0_52,negated_conjecture,
( p15(X1,X2)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X1)
| ~ p2(c20,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p2_20 ).
cnf(c_0_54,negated_conjecture,
p3(f11(f14(c20,c16)),f11(c19)),
inference(spm,[status(thm)],[c_0_33,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
p3(c19,c21),
inference(spm,[status(thm)],[c_0_33,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( p15(f4(X1,X2),X3)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1)
| ~ p2(c20,X3)
| ~ p3(f11(c21),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( p3(X1,f11(c19))
| ~ p3(f11(f14(c20,c16)),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( p3(f11(X1),f11(c21))
| ~ p3(c19,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1),X2)
| ~ p2(c20,X2)
| ~ p3(f11(c21),X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_32]) ).
cnf(c_0_60,negated_conjecture,
p3(f11(c21),f11(c19)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_35])]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_59]),c_0_32]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN586-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 08:40:47 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 7.89/5.76 % Version : CSE_E---1.7
% 7.89/5.76 % Problem : theBenchmark.p
% 7.89/5.76 % SZS status Unsatisfiable for theBenchmark.p
% 7.89/5.76 % SZS output start CNFRefutation
% See solution above
% 7.89/5.79 % Total time : 4.373s
%------------------------------------------------------------------------------