%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 0.12s 0.49s
% Output : CNFRefutation 0.12s
% 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/sandbox2/benchmark/theBenchmark.p',p6_23) ).
cnf(p6_4,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
cnf(p6_38,negated_conjecture,
( ~ p15(X2)
| ~ p15(X1)
| p6(f7(f10(X1,X2)),f9(f7(X1),f7(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_38) ).
cnf(p6_33,negated_conjecture,
( ~ p6(X1,X3)
| ~ p6(X2,X4)
| p6(f9(X1,X2),f9(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_33) ).
cnf(p6_12,negated_conjecture,
p6(f7(f3(c18)),f7(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_12) ).
cnf(p6_13,negated_conjecture,
p6(f7(f3(c19)),f7(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_13) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
cnf(not_p6_28,negated_conjecture,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('/export/starexec/sandbox2/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(f7(f10(X1,X2)),f9(f7(X1),f7(X2))) ),
inference(fof_simplification,[status(thm)],[p6_38]) ).
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(f7(f10(X1,X2)),f9(f7(X1),f7(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(f7(f3(c18)),f7(c18)),
p6_12 ).
cnf(c_0_18,negated_conjecture,
( ~ p15(X1)
| ~ p15(X2)
| p6(f9(f7(X1),f7(X2)),f7(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,f7(f3(c18))),f9(X2,f7(c18))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p6(f7(f3(c19)),f7(c19)),
p6_13 ).
cnf(c_0_21,negated_conjecture,
( ~ p15(X2)
| ~ p15(X3)
| ~ p6(f9(f7(X2),f7(X3)),X1)
| p6(X1,f7(f10(X2,X3))) ),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(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(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
inference(fof_simplification,[status(thm)],[not_p6_28]) ).
cnf(c_0_26,negated_conjecture,
p6(f9(f7(c19),f7(c18)),f7(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(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(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
% 0.00/0.03 % Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % 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 11:08:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.49 % Version: 3.5.1
% 0.12/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.49 % Starting sh5l with 300s (1) cores
% 0.12/0.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 940244 completed with status 0
% 0.12/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.49 % No SInE strategy applied
% 0.12/0.49 % Search class: FGUNM-FFMM21-MFFFFFNN
% 0.12/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.49 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.49 % new_bool_3 with pid 940251 completed with status 0
% 0.12/0.49 % Result found by new_bool_3
% 0.12/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.49 % No SInE strategy applied
% 0.12/0.49 % Search class: FGUNM-FFMM21-MFFFFFNN
% 0.12/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.49 % Preprocessing time : 0.003 s
% 0.12/0.49 % Presaturation interreduction done
% 0.12/0.49
% 0.12/0.49 % Proof found!
% 0.12/0.49 % SZS status Unsatisfiable
% 0.12/0.49 % SZS output start CNFRefutation
% See solution above
% 0.12/0.49 % Parsed axioms : 42
% 0.12/0.49 % Removed by relevancy pruning/SinE : 0
% 0.12/0.49 % Initial clauses : 42
% 0.12/0.49 % Removed in clause preprocessing : 0
% 0.12/0.49 % Initial clauses in saturation : 42
% 0.12/0.49 % Processed clauses : 244
% 0.12/0.49 % ...of these trivial : 6
% 0.12/0.49 % ...subsumed : 0
% 0.12/0.49 % ...remaining for further processing : 238
% 0.12/0.49 % Other redundant clauses eliminated : 0
% 0.12/0.49 % Clauses deleted for lack of memory : 0
% 0.12/0.49 % Backward-subsumed : 9
% 0.12/0.49 % Backward-rewritten : 13
% 0.12/0.49 % Generated clauses : 1349
% 0.12/0.49 % ...of the previous two non-redundant : 1137
% 0.12/0.49 % ...aggressively subsumed : 0
% 0.12/0.49 % Contextual simplify-reflections : 0
% 0.12/0.49 % Paramodulations : 1349
% 0.12/0.49 % Factorizations : 0
% 0.12/0.49 % NegExts : 0
% 0.12/0.49 % Equation resolutions : 0
% 0.12/0.49 % Disequality decompositions : 0
% 0.12/0.49 % Total rewrite steps : 254
% 0.12/0.49 % ...of those cached : 94
% 0.12/0.49 % Propositional unsat checks : 0
% 0.12/0.49 % Propositional check models : 0
% 0.12/0.49 % Propositional check unsatisfiable : 0
% 0.12/0.49 % Propositional clauses : 0
% 0.12/0.49 % Propositional clauses after purity: 0
% 0.12/0.49 % Propositional unsat core size : 0
% 0.12/0.49 % Propositional preprocessing time : 0.000
% 0.12/0.49 % Propositional encoding time : 0.000
% 0.12/0.49 % Propositional solver time : 0.000
% 0.12/0.49 % Success case prop preproc time : 0.000
% 0.12/0.49 % Success case prop encoding time : 0.000
% 0.12/0.49 % Success case prop solver time : 0.000
% 0.12/0.49 % Current number of processed clauses : 174
% 0.12/0.49 % Positive orientable unit clauses : 63
% 0.12/0.49 % Positive unorientable unit clauses: 0
% 0.12/0.49 % Negative unit clauses : 1
% 0.12/0.49 % Non-unit-clauses : 110
% 0.12/0.49 % Current number of unprocessed clauses: 961
% 0.12/0.49 % ...number of literals in the above : 1502
% 0.12/0.49 % Current number of archived formulas : 0
% 0.12/0.49 % Current number of archived clauses : 64
% 0.12/0.49 % Clause-clause subsumption calls (NU) : 1646
% 0.12/0.49 % Rec. Clause-clause subsumption calls : 1297
% 0.12/0.49 % Non-unit clause-clause subsumptions : 9
% 0.12/0.49 % Unit Clause-clause subsumption calls : 19
% 0.12/0.49 % Rewrite failures with RHS unbound : 0
% 0.12/0.49 % BW rewrite match attempts : 368
% 0.12/0.49 % BW rewrite match successes : 13
% 0.12/0.49 % Condensation attempts : 0
% 0.12/0.49 % Condensation successes : 0
% 0.12/0.49 % Termbank termtop insertions : 27308
% 0.12/0.49 % Search garbage collected termcells : 115
% 0.12/0.49
% 0.12/0.49 % -------------------------------------------------
% 0.12/0.49 % User time : 0.048 s
% 0.12/0.49 % System time : 0.006 s
% 0.12/0.49 % Total time : 0.054 s
% 0.12/0.49 % Maximum resident set size: 3672 pages
% 0.12/0.49
% 0.12/0.49 % -------------------------------------------------
% 0.12/0.49 % User time : 0.219 s
% 0.12/0.49 % System time : 0.032 s
% 0.12/0.49 % Total time : 0.252 s
% 0.12/0.49 % Maximum resident set size: 4864 pages
% 0.12/0.49 % E exiting
%------------------------------------------------------------------------------