%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN642-1 : 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 : n005.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 03:25:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 27 RR)
% Number of literals : 54 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p6_23,negated_conjecture,
( ~ p6(X3,X2)
| ~ p6(X3,X1)
| p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_23) ).
cnf(p6_4,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
cnf(p6_36,negated_conjecture,
( ~ p15(X2)
| ~ p15(X1)
| p6(f8(f10(X1,X2)),f9(f8(X1),f8(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_36) ).
cnf(p6_33,negated_conjecture,
( ~ p6(X1,X3)
| ~ p6(X2,X4)
| p6(f9(X1,X2),f9(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).
cnf(p6_14,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_14) ).
cnf(p6_9,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).
cnf(not_p6_28,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_28) ).
cnf(c_0_9,negated_conjecture,
( ~ p6(X3,X2)
| ~ p6(X3,X1)
| p6(X1,X2) ),
inference(fof_simplification,[status(thm)],[p6_23]) ).
cnf(c_0_10,negated_conjecture,
( ~ p6(X3,X2)
| ~ p6(X3,X1)
| p6(X1,X2) ),
c_0_9 ).
cnf(c_0_11,negated_conjecture,
p6(X1,X1),
p6_4 ).
cnf(c_0_12,negated_conjecture,
( ~ p15(X2)
| ~ p15(X1)
| p6(f8(f10(X1,X2)),f9(f8(X1),f8(X2))) ),
inference(fof_simplification,[status(thm)],[p6_36]) ).
cnf(c_0_13,negated_conjecture,
( ~ p6(X1,X3)
| ~ p6(X2,X4)
| p6(f9(X1,X2),f9(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p6_33]) ).
cnf(c_0_14,negated_conjecture,
( ~ p6(X2,X1)
| p6(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( ~ p15(X2)
| ~ p15(X1)
| p6(f8(f10(X1,X2)),f9(f8(X1),f8(X2))) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
( ~ p6(X1,X3)
| ~ p6(X2,X4)
| p6(f9(X1,X2),f9(X3,X4)) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
p6_14 ).
cnf(c_0_18,negated_conjecture,
( ~ p15(X1)
| ~ p15(X2)
| p6(f9(f8(X1),f8(X2)),f8(f10(X1,X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ p6(X1,X2)
| p6(f9(X1,f8(f3(c18))),f9(X2,f8(c18))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
p6_9 ).
cnf(c_0_21,negated_conjecture,
( ~ p15(X2)
| ~ p15(X3)
| ~ p6(f9(f8(X2),f8(X3)),X1)
| p6(X1,f8(f10(X2,X3))) ),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p15(f3(c18)),
f3_is_p15_2 ).
cnf(c_0_24,negated_conjecture,
p15(f3(c19)),
f3_is_p15_1 ).
cnf(c_0_25,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
inference(fof_simplification,[status(thm)],[not_p6_28]) ).
cnf(c_0_26,negated_conjecture,
p6(f9(f8(c19),f8(c18)),f8(f10(f3(c19),f3(c18)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
c_0_25 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_26]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN642-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:10:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.48 % Version: 3.5.1
% 0.13/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.48 % Starting sh5l with 300s (1) cores
% 0.13/0.48 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3320903 completed with status 0
% 0.13/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.48 % No SInE strategy applied
% 0.13/0.48 % Search class: FGUNM-FFMM21-MFFFFFNN
% 0.13/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.48 % new_bool_3 with pid 3320912 completed with status 0
% 0.13/0.48 % Result found by new_bool_3
% 0.13/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.48 % No SInE strategy applied
% 0.13/0.48 % Search class: FGUNM-FFMM21-MFFFFFNN
% 0.13/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.48 % Preprocessing time : 0.003 s
% 0.13/0.48 % Presaturation interreduction done
% 0.13/0.48
% 0.13/0.48 % Proof found!
% 0.13/0.48 % SZS status Unsatisfiable
% 0.13/0.48 % SZS output start CNFRefutation
% See solution above
% 0.13/0.48 % Parsed axioms : 42
% 0.13/0.48 % Removed by relevancy pruning/SinE : 0
% 0.13/0.48 % Initial clauses : 42
% 0.13/0.48 % Removed in clause preprocessing : 0
% 0.13/0.48 % Initial clauses in saturation : 42
% 0.13/0.48 % Processed clauses : 289
% 0.13/0.48 % ...of these trivial : 7
% 0.13/0.48 % ...subsumed : 0
% 0.13/0.48 % ...remaining for further processing : 282
% 0.13/0.48 % Other redundant clauses eliminated : 0
% 0.13/0.48 % Clauses deleted for lack of memory : 0
% 0.13/0.48 % Backward-subsumed : 10
% 0.13/0.48 % Backward-rewritten : 15
% 0.13/0.48 % Generated clauses : 1723
% 0.13/0.48 % ...of the previous two non-redundant : 1462
% 0.13/0.48 % ...aggressively subsumed : 0
% 0.13/0.48 % Contextual simplify-reflections : 2
% 0.13/0.48 % Paramodulations : 1723
% 0.13/0.48 % Factorizations : 0
% 0.13/0.48 % NegExts : 0
% 0.13/0.48 % Equation resolutions : 0
% 0.13/0.48 % Disequality decompositions : 0
% 0.13/0.48 % Total rewrite steps : 328
% 0.13/0.48 % ...of those cached : 131
% 0.13/0.48 % Propositional unsat checks : 0
% 0.13/0.48 % Propositional check models : 0
% 0.13/0.48 % Propositional check unsatisfiable : 0
% 0.13/0.48 % Propositional clauses : 0
% 0.13/0.48 % Propositional clauses after purity: 0
% 0.13/0.48 % Propositional unsat core size : 0
% 0.13/0.48 % Propositional preprocessing time : 0.000
% 0.13/0.48 % Propositional encoding time : 0.000
% 0.13/0.48 % Propositional solver time : 0.000
% 0.13/0.48 % Success case prop preproc time : 0.000
% 0.13/0.48 % Success case prop encoding time : 0.000
% 0.13/0.48 % Success case prop solver time : 0.000
% 0.13/0.48 % Current number of processed clauses : 215
% 0.13/0.48 % Positive orientable unit clauses : 79
% 0.13/0.48 % Positive unorientable unit clauses: 0
% 0.13/0.48 % Negative unit clauses : 1
% 0.13/0.48 % Non-unit-clauses : 135
% 0.13/0.48 % Current number of unprocessed clauses: 1240
% 0.13/0.48 % ...number of literals in the above : 1922
% 0.13/0.48 % Current number of archived formulas : 0
% 0.13/0.48 % Current number of archived clauses : 67
% 0.13/0.48 % Clause-clause subsumption calls (NU) : 2287
% 0.13/0.48 % Rec. Clause-clause subsumption calls : 1689
% 0.13/0.48 % Non-unit clause-clause subsumptions : 12
% 0.13/0.48 % Unit Clause-clause subsumption calls : 42
% 0.13/0.48 % Rewrite failures with RHS unbound : 0
% 0.13/0.48 % BW rewrite match attempts : 481
% 0.13/0.48 % BW rewrite match successes : 15
% 0.13/0.48 % Condensation attempts : 0
% 0.13/0.48 % Condensation successes : 0
% 0.13/0.48 % Termbank termtop insertions : 34819
% 0.13/0.48 % Search garbage collected termcells : 115
% 0.13/0.48
% 0.13/0.48 % -------------------------------------------------
% 0.13/0.48 % User time : 0.033 s
% 0.13/0.48 % System time : 0.011 s
% 0.13/0.48 % Total time : 0.045 s
% 0.13/0.48 % Maximum resident set size: 3672 pages
% 0.13/0.48
% 0.13/0.48 % -------------------------------------------------
% 0.13/0.48 % User time : 0.204 s
% 0.13/0.48 % System time : 0.027 s
% 0.13/0.48 % Total time : 0.231 s
% 0.13/0.48 % Maximum resident set size: 4864 pages
% 0.13/0.48 % E exiting
%------------------------------------------------------------------------------