%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN567-1 : 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 : n001.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 03:35:15 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 16 unt; 4 nHn; 19 RR)
% Number of literals : 41 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_10,negated_conjecture,
( ~ p5(X1,X2)
| p2(f6(X1),f6(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_19,negated_conjecture,
( ~ p2(f6(f8(X1)),X1)
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f4(c10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).
cnf(p5_3,negated_conjecture,
p5(f8(f6(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
cnf(not_p2_12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_12) ).
cnf(not_p2_6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
cnf(not_p2_5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_5) ).
cnf(not_p2_4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_4) ).
cnf(c_0_7,negated_conjecture,
( ~ p5(X1,X2)
| p2(f6(X1),f6(X2)) ),
inference(fof_simplification,[status(thm)],[p2_10]) ).
cnf(c_0_8,negated_conjecture,
( ~ p2(f6(f8(X1)),X1)
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f4(c10))) ),
inference(fof_simplification,[status(thm)],[p2_19]) ).
cnf(c_0_9,negated_conjecture,
( ~ p5(X1,X2)
| p2(f6(X1),f6(X2)) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
p5(f8(f6(X1)),X1),
p5_3 ).
cnf(c_0_11,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(fof_simplification,[status(thm)],[not_p2_12]) ).
cnf(c_0_12,negated_conjecture,
( ~ p2(f6(f8(X1)),X1)
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f4(c10))) ),
c_0_8 ).
cnf(c_0_13,negated_conjecture,
p2(f6(f8(f6(X1))),f6(X1)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(fof_simplification,[status(thm)],[not_p2_6]) ).
cnf(c_0_15,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(fof_simplification,[status(thm)],[not_p2_5]) ).
cnf(c_0_16,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
inference(fof_simplification,[status(thm)],[not_p2_4]) ).
cnf(c_0_17,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
c_0_11 ).
cnf(c_0_18,negated_conjecture,
( p2(f6(X1),f3(f4(c10)))
| p2(f6(X1),f3(f7(f4(c10))))
| p2(f6(X1),f3(f7(f7(f4(c10)))))
| p2(f6(X1),f3(f7(f7(f7(f4(c10)))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
c_0_14 ).
cnf(c_0_20,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
c_0_15 ).
cnf(c_0_21,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 11:14:35 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.43 Running first-order theorem proving
% 0.14/5.43 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
% 0.14/5.46 % Version: 3.5.1
% 0.14/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.46 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.46 % Starting sh5l with 300s (1) cores
% 0.14/5.46 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2979054 completed with status 0
% 0.14/5.46 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.46 % No SInE strategy applied
% 0.14/5.46 % Search class: FGUNS-FFSF11-MFFFFFNN
% 0.14/5.46 % partial match(1): FGUNS-FFSF21-MFFFFFNN
% 0.14/5.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/5.46 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.46 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.46 % new_bool_3 with pid 2979063 completed with status 0
% 0.14/5.46 % Result found by new_bool_3
% 0.14/5.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.46 % No SInE strategy applied
% 0.14/5.46 % Search class: FGUNS-FFSF11-MFFFFFNN
% 0.14/5.46 % partial match(1): FGUNS-FFSF21-MFFFFFNN
% 0.14/5.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/5.46 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.46 % Preprocessing time : 0.001 s
% 0.14/5.46 % Presaturation interreduction done
% 0.14/5.46
% 0.14/5.46 % Proof found!
% 0.14/5.46 % SZS status Unsatisfiable
% 0.14/5.46 % SZS output start CNFRefutation
% See solution above
% 0.14/5.46 % Parsed axioms : 19
% 0.14/5.46 % Removed by relevancy pruning/SinE : 0
% 0.14/5.46 % Initial clauses : 19
% 0.14/5.46 % Removed in clause preprocessing : 0
% 0.14/5.46 % Initial clauses in saturation : 19
% 0.14/5.46 % Processed clauses : 138
% 0.14/5.46 % ...of these trivial : 13
% 0.14/5.46 % ...subsumed : 0
% 0.14/5.46 % ...remaining for further processing : 125
% 0.14/5.46 % Other redundant clauses eliminated : 0
% 0.14/5.46 % Clauses deleted for lack of memory : 0
% 0.14/5.46 % Backward-subsumed : 0
% 0.14/5.46 % Backward-rewritten : 0
% 0.14/5.46 % Generated clauses : 496
% 0.14/5.46 % ...of the previous two non-redundant : 362
% 0.14/5.46 % ...aggressively subsumed : 0
% 0.14/5.46 % Contextual simplify-reflections : 0
% 0.14/5.46 % Paramodulations : 496
% 0.14/5.46 % Factorizations : 0
% 0.14/5.46 % NegExts : 0
% 0.14/5.46 % Equation resolutions : 0
% 0.14/5.46 % Disequality decompositions : 0
% 0.14/5.46 % Total rewrite steps : 146
% 0.14/5.46 % ...of those cached : 53
% 0.14/5.46 % Propositional unsat checks : 0
% 0.14/5.46 % Propositional check models : 0
% 0.14/5.46 % Propositional check unsatisfiable : 0
% 0.14/5.46 % Propositional clauses : 0
% 0.14/5.46 % Propositional clauses after purity: 0
% 0.14/5.46 % Propositional unsat core size : 0
% 0.14/5.46 % Propositional preprocessing time : 0.000
% 0.14/5.46 % Propositional encoding time : 0.000
% 0.14/5.46 % Propositional solver time : 0.000
% 0.14/5.46 % Success case prop preproc time : 0.000
% 0.14/5.46 % Success case prop encoding time : 0.000
% 0.14/5.46 % Success case prop solver time : 0.000
% 0.14/5.46 % Current number of processed clauses : 106
% 0.14/5.46 % Positive orientable unit clauses : 59
% 0.14/5.46 % Positive unorientable unit clauses: 0
% 0.14/5.46 % Negative unit clauses : 4
% 0.14/5.46 % Non-unit-clauses : 43
% 0.14/5.46 % Current number of unprocessed clauses: 252
% 0.14/5.46 % ...number of literals in the above : 281
% 0.14/5.46 % Current number of archived formulas : 0
% 0.14/5.46 % Current number of archived clauses : 19
% 0.14/5.46 % Clause-clause subsumption calls (NU) : 282
% 0.14/5.46 % Rec. Clause-clause subsumption calls : 188
% 0.14/5.46 % Non-unit clause-clause subsumptions : 0
% 0.14/5.46 % Unit Clause-clause subsumption calls : 4
% 0.14/5.46 % Rewrite failures with RHS unbound : 0
% 0.14/5.46 % BW rewrite match attempts : 37
% 0.14/5.46 % BW rewrite match successes : 0
% 0.14/5.46 % Condensation attempts : 0
% 0.14/5.46 % Condensation successes : 0
% 0.14/5.46 % Termbank termtop insertions : 9001
% 0.14/5.46 % Search garbage collected termcells : 37
% 0.14/5.46
% 0.14/5.46 % -------------------------------------------------
% 0.14/5.46 % User time : 0.012 s
% 0.14/5.46 % System time : 0.005 s
% 0.14/5.46 % Total time : 0.016 s
% 0.14/5.46 % Maximum resident set size: 3648 pages
% 0.14/5.46
% 0.14/5.46 % -------------------------------------------------
% 0.14/5.46 % User time : 0.067 s
% 0.14/5.46 % System time : 0.014 s
% 0.14/5.46 % Total time : 0.081 s
% 0.14/5.46 % Maximum resident set size: 4864 pages
% 0.14/5.46 % E exiting
%------------------------------------------------------------------------------