%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN714-1 : 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 : n010.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 03:25:57 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.65s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 14 unt; 3 nHn; 22 RR)
% Number of literals : 50 ( 0 equ; 29 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p16_98,negated_conjecture,
( ~ p52(f20(f21(c62,c64)),X1)
| ~ p50(X1,X2,c62)
| ~ p51(X1,X2)
| p50(X1,X2,c60)
| p16(f17(X1),c65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_98) ).
cnf(not_p16_24,negated_conjecture,
~ p16(f17(c66),c65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_24) ).
cnf(p52_28,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p52_28) ).
cnf(p50_64,negated_conjecture,
( ~ p53(X1,f17(c66))
| p50(c66,f25(f27(c59,X1),c67),c62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p50_64) ).
cnf(not_p50_33,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p50_33) ).
cnf(p53_23,negated_conjecture,
p53(c68,f17(c66)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p53_23) ).
cnf(p51_87,negated_conjecture,
( ~ p53(X3,f17(X1))
| ~ p51(X1,X4)
| p51(X1,f25(f27(X2,X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p51_87) ).
cnf(p51_22,negated_conjecture,
p51(c66,c67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p51_22) ).
cnf(c_0_8,negated_conjecture,
( ~ p52(f20(f21(c62,c64)),X1)
| ~ p50(X1,X2,c62)
| ~ p51(X1,X2)
| p50(X1,X2,c60)
| p16(f17(X1),c65) ),
inference(fof_simplification,[status(thm)],[p16_98]) ).
cnf(c_0_9,negated_conjecture,
~ p16(f17(c66),c65),
inference(fof_simplification,[status(thm)],[not_p16_24]) ).
cnf(c_0_10,negated_conjecture,
( ~ p52(f20(f21(c62,c64)),X1)
| ~ p50(X1,X2,c62)
| ~ p51(X1,X2)
| p50(X1,X2,c60)
| p16(f17(X1),c65) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
p52_28 ).
cnf(c_0_12,negated_conjecture,
~ p16(f17(c66),c65),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
( ~ p53(X1,f17(c66))
| p50(c66,f25(f27(c59,X1),c67),c62) ),
inference(fof_simplification,[status(thm)],[p50_64]) ).
cnf(c_0_14,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(fof_simplification,[status(thm)],[not_p50_33]) ).
cnf(c_0_15,negated_conjecture,
( ~ p51(c66,X1)
| ~ p50(c66,X1,c62)
| p50(c66,X1,c60) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ p53(X1,f17(c66))
| p50(c66,f25(f27(c59,X1),c67),c62) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
( ~ p51(c66,f25(f27(c59,X1),c67))
| ~ p53(X1,f17(c66))
| p50(c66,f25(f27(c59,X1),c67),c60) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p53(c68,f17(c66)),
p53_23 ).
cnf(c_0_20,negated_conjecture,
( ~ p53(X3,f17(X1))
| ~ p51(X1,X4)
| p51(X1,f25(f27(X2,X3),X4)) ),
inference(fof_simplification,[status(thm)],[p51_87]) ).
cnf(c_0_21,negated_conjecture,
~ p51(c66,f25(f27(c59,c68),c67)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
( ~ p53(X3,f17(X1))
| ~ p51(X1,X4)
| p51(X1,f25(f27(X2,X3),X4)) ),
c_0_20 ).
cnf(c_0_23,negated_conjecture,
p51(c66,c67),
p51_22 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.57 % Computer : n010.cluster.edu
% 0.13/5.57 % Model : x86_64 x86_64
% 0.13/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.57 % Memory : 8046.5625MB
% 0.13/5.57 % OS : Linux 6.8.0-71-generic
% 0.13/5.57 % CPULimit : 300
% 0.13/5.57 % WCLimit : 300
% 0.13/5.57 % DateTime : Mon Sep 21 11:13:04 UTC 2026
% 0.13/5.57 % CPUTime :
% 0.13/5.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.61 Running first-order theorem proving
% 0.16/5.62 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
% 0.16/5.65 % Version: 3.5.1
% 0.16/5.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.65 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.65 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.65 % Starting sh5l with 300s (1) cores
% 0.16/5.65 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 753906 completed with status 0
% 0.16/5.65 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/5.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.65 % No SInE strategy applied
% 0.16/5.65 % Search class: FGUNM-FFMM31-SFFFFFNN
% 0.16/5.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.65 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/5.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 0.16/5.65 % Starting new_bool_3 with 226s (1) cores
% 0.16/5.65 % Starting new_bool_1 with 226s (1) cores
% 0.16/5.65 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 753913 completed with status 0
% 0.16/5.65 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.16/5.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.65 % No SInE strategy applied
% 0.16/5.65 % Search class: FGUNM-FFMM31-SFFFFFNN
% 0.16/5.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.65 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/5.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 0.16/5.65 % Preprocessing time : 0.002 s
% 0.16/5.65 % Presaturation interreduction done
% 0.16/5.65
% 0.16/5.65 % Proof found!
% 0.16/5.65 % SZS status Unsatisfiable
% 0.16/5.65 % SZS output start CNFRefutation
% See solution above
% 0.16/5.65 % Parsed axioms : 105
% 0.16/5.65 % Removed by relevancy pruning/SinE : 0
% 0.16/5.65 % Initial clauses : 105
% 0.16/5.65 % Removed in clause preprocessing : 0
% 0.16/5.65 % Initial clauses in saturation : 105
% 0.16/5.65 % Processed clauses : 262
% 0.16/5.65 % ...of these trivial : 0
% 0.16/5.65 % ...subsumed : 9
% 0.16/5.65 % ...remaining for further processing : 253
% 0.16/5.65 % Other redundant clauses eliminated : 0
% 0.16/5.65 % Clauses deleted for lack of memory : 0
% 0.16/5.65 % Backward-subsumed : 0
% 0.16/5.65 % Backward-rewritten : 0
% 0.16/5.65 % Generated clauses : 226
% 0.16/5.65 % ...of the previous two non-redundant : 175
% 0.16/5.65 % ...aggressively subsumed : 0
% 0.16/5.65 % Contextual simplify-reflections : 0
% 0.16/5.65 % Paramodulations : 226
% 0.16/5.65 % Factorizations : 0
% 0.16/5.65 % NegExts : 0
% 0.16/5.65 % Equation resolutions : 0
% 0.16/5.65 % Disequality decompositions : 0
% 0.16/5.65 % Total rewrite steps : 62
% 0.16/5.65 % ...of those cached : 31
% 0.16/5.65 % Propositional unsat checks : 0
% 0.16/5.65 % Propositional check models : 0
% 0.16/5.65 % Propositional check unsatisfiable : 0
% 0.16/5.65 % Propositional clauses : 0
% 0.16/5.65 % Propositional clauses after purity: 0
% 0.16/5.65 % Propositional unsat core size : 0
% 0.16/5.65 % Propositional preprocessing time : 0.000
% 0.16/5.65 % Propositional encoding time : 0.000
% 0.16/5.65 % Propositional solver time : 0.000
% 0.16/5.65 % Success case prop preproc time : 0.000
% 0.16/5.65 % Success case prop encoding time : 0.000
% 0.16/5.65 % Success case prop solver time : 0.000
% 0.16/5.65 % Current number of processed clauses : 148
% 0.16/5.65 % Positive orientable unit clauses : 33
% 0.16/5.65 % Positive unorientable unit clauses: 0
% 0.16/5.65 % Negative unit clauses : 3
% 0.16/5.65 % Non-unit-clauses : 112
% 0.16/5.65 % Current number of unprocessed clauses: 123
% 0.16/5.65 % ...number of literals in the above : 447
% 0.16/5.65 % Current number of archived formulas : 0
% 0.16/5.65 % Current number of archived clauses : 105
% 0.16/5.65 % Clause-clause subsumption calls (NU) : 4535
% 0.16/5.65 % Rec. Clause-clause subsumption calls : 2659
% 0.16/5.65 % Non-unit clause-clause subsumptions : 9
% 0.16/5.65 % Unit Clause-clause subsumption calls : 26
% 0.16/5.65 % Rewrite failures with RHS unbound : 0
% 0.16/5.65 % BW rewrite match attempts : 6
% 0.16/5.65 % BW rewrite match successes : 0
% 0.16/5.65 % Condensation attempts : 0
% 0.16/5.65 % Condensation successes : 0
% 0.16/5.65 % Termbank termtop insertions : 7686
% 0.16/5.65 % Search garbage collected termcells : 354
% 0.16/5.65
% 0.16/5.65 % -------------------------------------------------
% 0.16/5.65 % User time : 0.011 s
% 0.16/5.65 % System time : 0.006 s
% 0.16/5.65 % Total time : 0.017 s
% 0.16/5.65 % Maximum resident set size: 3748 pages
% 0.16/5.65
% 0.16/5.65 % -------------------------------------------------
% 0.16/5.65 % User time : 0.061 s
% 0.16/5.65 % System time : 0.018 s
% 0.16/5.65 % Total time : 0.080 s
% 0.16/5.65 % Maximum resident set size: 4864 pages
% 0.16/5.65 % E exiting
%------------------------------------------------------------------------------