%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:40 PM UTC 2026
% Result : Unsatisfiable 0.61s 0.59s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 58 ( 27 unt; 7 nHn; 48 RR)
% Number of literals : 118 ( 0 equ; 53 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_26,negated_conjecture,
( ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),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)),f11(X1)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p12(f13(X3),f13(c18))
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
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(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(p3_15,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
cnf(p12_25,negated_conjecture,
( ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1)
| p12(f13(X1),f13(c18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_25) ).
cnf(p12_24,negated_conjecture,
( p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1)
| p12(f13(X1),f13(c18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p3_5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(p2_20,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p2(f4(X1,X2),f4(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(p3_12,negated_conjecture,
( ~ p3(X1,X2)
| p3(f11(X1),f11(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p15_17,negated_conjecture,
( ~ p15(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p15(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
cnf(p2_16,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
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(c_0_15,negated_conjecture,
( ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),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)),f11(X1)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p12(f13(X3),f13(c18))
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_26]) ).
cnf(c_0_16,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(fof_simplification,[status(thm)],[not_p15_23]) ).
cnf(c_0_17,negated_conjecture,
~ p12(f13(c20),f13(c18)),
inference(fof_simplification,[status(thm)],[not_p12_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),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)),f11(X1)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p12(f13(X3),f13(c18))
| p3(X1,X2) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
p15_18 ).
cnf(c_0_20,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
~ p12(f13(c20),f13(c18)),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_15]) ).
cnf(c_0_23,negated_conjecture,
( ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1)
| p12(f13(X1),f13(c18)) ),
inference(fof_simplification,[status(thm)],[p12_25]) ).
cnf(c_0_24,negated_conjecture,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1),c20)
| p3(X1,c19)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X1)),c20) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1)
| p12(f13(X1),f13(c18)) ),
p12_24 ).
cnf(c_0_26,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_22 ).
cnf(c_0_27,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_28,negated_conjecture,
( ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1)
| p12(f13(X1),f13(c18)) ),
c_0_23 ).
cnf(c_0_29,negated_conjecture,
( p3(f14(c20,c16),c19)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,c16))),c20) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
p3(f14(c20,c16),c19),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21]) ).
cnf(c_0_32,negated_conjecture,
p3(c19,f14(c20,c16)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
p3(c21,c19),
p3_5 ).
cnf(c_0_34,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p2(f4(X1,X2),f4(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_20]) ).
cnf(c_0_35,negated_conjecture,
( ~ p3(X1,X2)
| p3(f11(X1),f11(X2)) ),
inference(fof_simplification,[status(thm)],[p3_12]) ).
cnf(c_0_36,negated_conjecture,
( ~ p3(c19,X1)
| p3(X1,f14(c20,c16)) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
p3(c19,c21),
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p2(f4(X1,X2),f4(X3,X4)) ),
c_0_34 ).
cnf(c_0_39,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_40,negated_conjecture,
( ~ p3(X1,X2)
| p3(f11(X1),f11(X2)) ),
c_0_35 ).
cnf(c_0_41,negated_conjecture,
p3(c21,f14(c20,c16)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( ~ p15(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p15(X1,X2) ),
inference(fof_simplification,[status(thm)],[p15_17]) ).
cnf(c_0_43,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_16]) ).
cnf(c_0_44,negated_conjecture,
( ~ p3(X2,X3)
| p2(f4(X1,X2),f4(X1,X3)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
p3(f11(f14(c20,c16)),f11(c19)),
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_46,negated_conjecture,
p3(f14(c20,c16),c21),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ~ p15(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p15(X1,X2) ),
c_0_42 ).
cnf(c_0_48,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
p15_22 ).
cnf(c_0_49,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_43 ).
cnf(c_0_50,negated_conjecture,
p2(f4(X1,f11(f14(c20,c16))),f4(X1,f11(c19))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
p3(f11(f14(c20,c16)),f11(c21)),
inference(spm,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( ~ p2(c20,X2)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X1)
| p15(X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( ~ p2(f4(X2,f11(f14(c20,c16))),X1)
| p2(X1,f4(X2,f11(c19))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
p2(f4(X1,f11(f14(c20,c16))),f4(X1,f11(c21))),
inference(spm,[status(thm)],[c_0_44,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X1)
| p15(X1,c20) ),
inference(spm,[status(thm)],[c_0_52,c_0_39]) ).
cnf(c_0_56,negated_conjecture,
p2(f4(X1,f11(c21)),f4(X1,f11(c19))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n011.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:09:25 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.59 % Version: 3.5.1
% 0.61/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.61/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.61/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.61/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.61/0.59 % Starting sh5l with 300s (1) cores
% 0.61/0.59 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1745743 completed with status 0
% 0.61/0.59 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.61/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.61/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.61/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.61/0.59 % No SInE strategy applied
% 0.61/0.59 % Search class: FGUNM-FFMS21-DFFFFFNN
% 0.61/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.61/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.61/0.59 % Starting new_bool_3 with 136s (1) cores
% 0.61/0.59 % Starting new_bool_1 with 136s (1) cores
% 0.61/0.59 % new_bool_1 with pid 1745754 completed with status 0
% 0.61/0.59 % Result found by new_bool_1
% 0.61/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.61/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.61/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.61/0.59 % No SInE strategy applied
% 0.61/0.59 % Search class: FGUNM-FFMS21-DFFFFFNN
% 0.61/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.61/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.61/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.61/0.59 % Starting new_bool_3 with 136s (1) cores
% 0.61/0.59 % Starting new_bool_1 with 136s (1) cores
% 0.61/0.59 % Preprocessing time : 0.002 s
% 0.61/0.59 % Presaturation interreduction done
% 0.61/0.59
% 0.61/0.59 % Proof found!
% 0.61/0.59 % SZS status Unsatisfiable
% 0.61/0.59 % SZS output start CNFRefutation
% See solution above
% 0.61/0.59 % Parsed axioms : 26
% 0.61/0.59 % Removed by relevancy pruning/SinE : 0
% 0.61/0.59 % Initial clauses : 26
% 0.61/0.59 % Removed in clause preprocessing : 0
% 0.61/0.59 % Initial clauses in saturation : 26
% 0.61/0.59 % Processed clauses : 945
% 0.61/0.59 % ...of these trivial : 113
% 0.61/0.59 % ...subsumed : 0
% 0.61/0.59 % ...remaining for further processing : 832
% 0.61/0.59 % Other redundant clauses eliminated : 0
% 0.61/0.59 % Clauses deleted for lack of memory : 0
% 0.61/0.59 % Backward-subsumed : 0
% 0.61/0.59 % Backward-rewritten : 1
% 0.61/0.59 % Generated clauses : 10007
% 0.61/0.59 % ...of the previous two non-redundant : 9247
% 0.61/0.59 % ...aggressively subsumed : 0
% 0.61/0.59 % Contextual simplify-reflections : 1
% 0.61/0.59 % Paramodulations : 10007
% 0.61/0.59 % Factorizations : 0
% 0.61/0.59 % NegExts : 0
% 0.61/0.59 % Equation resolutions : 0
% 0.61/0.59 % Disequality decompositions : 0
% 0.61/0.59 % Total rewrite steps : 873
% 0.61/0.59 % ...of those cached : 384
% 0.61/0.59 % Propositional unsat checks : 0
% 0.61/0.59 % Propositional check models : 0
% 0.61/0.59 % Propositional check unsatisfiable : 0
% 0.61/0.59 % Propositional clauses : 0
% 0.61/0.59 % Propositional clauses after purity: 0
% 0.61/0.59 % Propositional unsat core size : 0
% 0.61/0.59 % Propositional preprocessing time : 0.000
% 0.61/0.59 % Propositional encoding time : 0.000
% 0.61/0.59 % Propositional solver time : 0.000
% 0.61/0.59 % Success case prop preproc time : 0.000
% 0.61/0.59 % Success case prop encoding time : 0.000
% 0.61/0.59 % Success case prop solver time : 0.000
% 0.61/0.59 % Current number of processed clauses : 805
% 0.61/0.59 % Positive orientable unit clauses : 451
% 0.61/0.59 % Positive unorientable unit clauses: 0
% 0.61/0.59 % Negative unit clauses : 2
% 0.61/0.59 % Non-unit-clauses : 352
% 0.61/0.59 % Current number of unprocessed clauses: 8271
% 0.61/0.59 % ...number of literals in the above : 8772
% 0.61/0.59 % Current number of archived formulas : 0
% 0.61/0.59 % Current number of archived clauses : 27
% 0.61/0.59 % Clause-clause subsumption calls (NU) : 7528
% 0.61/0.59 % Rec. Clause-clause subsumption calls : 6464
% 0.61/0.59 % Non-unit clause-clause subsumptions : 1
% 0.61/0.59 % Unit Clause-clause subsumption calls : 2468
% 0.61/0.59 % Rewrite failures with RHS unbound : 0
% 0.61/0.59 % BW rewrite match attempts : 5571
% 0.61/0.59 % BW rewrite match successes : 1
% 0.61/0.59 % Condensation attempts : 0
% 0.61/0.59 % Condensation successes : 0
% 0.61/0.59 % Termbank termtop insertions : 189725
% 0.61/0.59 % Search garbage collected termcells : 69
% 0.61/0.59
% 0.61/0.59 % -------------------------------------------------
% 0.61/0.59 % User time : 0.142 s
% 0.61/0.59 % System time : 0.022 s
% 0.61/0.59 % Total time : 0.164 s
% 0.61/0.59 % Maximum resident set size: 3664 pages
% 0.61/0.59
% 0.61/0.59 % -------------------------------------------------
% 0.61/0.59 % User time : 0.704 s
% 0.61/0.59 % System time : 0.056 s
% 0.61/0.59 % Total time : 0.760 s
% 0.61/0.59 % Maximum resident set size: 4608 pages
% 0.61/0.59 % E exiting
%------------------------------------------------------------------------------