%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO633-1 : TPTP v9.3.1. Released v7.1.0.
% 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 03:48:17 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 29 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 91 ( 0 equ; 70 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 87 ( 84 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1_10,axiom,
( ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f(X2),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_10) ).
cnf(clause_5_03,axiom,
( ~ 'E'(f(X6),s(s(s(s(s('0'))))))
| ~ 'E'(f(X5),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_03) ).
cnf(clause_6_04,axiom,
'E'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).
cnf(clause_8_05,axiom,
'E'(f(X1),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_05) ).
cnf(clause_4_12,axiom,
( ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_12) ).
cnf(clause_12_09,axiom,
( ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_09) ).
cnf(clause_2_07,axiom,
( ~ 'E'(f(X5),s(s(s(s(s('0'))))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X6)),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_07) ).
cnf(c_0_7,plain,
( ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f(X2),s(s(s('0')))) ),
inference(fof_simplification,[status(thm)],[clause_1_10]) ).
cnf(c_0_8,plain,
( ~ 'E'(f(X6),s(s(s(s(s('0'))))))
| ~ 'E'(f(X5),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s('0'))) ),
inference(fof_simplification,[status(thm)],[clause_5_03]) ).
cnf(c_0_9,plain,
( ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f(X2),s(s(s('0')))) ),
c_0_7 ).
cnf(c_0_10,axiom,
'E'(f(X1),s(s(s(s('0'))))),
clause_6_04 ).
cnf(c_0_11,axiom,
'E'(f(X1),s(s(s(s(s('0')))))),
clause_8_05 ).
cnf(c_0_12,plain,
( ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s(s('0'))) ),
inference(fof_simplification,[status(thm)],[clause_4_12]) ).
cnf(c_0_13,plain,
( ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),s('0')) ),
inference(fof_simplification,[status(thm)],[clause_12_09]) ).
cnf(c_0_14,plain,
( ~ 'E'(f(X6),s(s(s(s(s('0'))))))
| ~ 'E'(f(X5),'0')
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s('0'))) ),
c_0_8 ).
cnf(c_0_15,plain,
'E'(f(X1),s(s(s('0')))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_16,plain,
( ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s(s('0'))) ),
c_0_12 ).
cnf(c_0_17,plain,
( ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),s('0')) ),
c_0_13 ).
cnf(c_0_18,plain,
( ~ 'E'(f(X3),'0')
| ~ 'E'(f(X2),s('0'))
| ~ 'E'(f(X1),s(s('0'))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_10]),c_0_11])]) ).
cnf(c_0_19,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s(s('0'))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15]),c_0_10]),c_0_11])]) ).
cnf(c_0_20,plain,
( ~ 'E'(f(X2),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s('0')) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_15]),c_0_10]),c_0_11])]) ).
cnf(c_0_21,plain,
( ~ 'E'(f(X5),s(s(s(s(s('0'))))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X6)),'0') ),
inference(fof_simplification,[status(thm)],[clause_2_07]) ).
cnf(c_0_22,plain,
( ~ 'E'(f(X2),'0')
| ~ 'E'(f(X1),s('0')) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s('0')),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_24,plain,
( ~ 'E'(f(X5),s(s(s(s(s('0'))))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X6)),'0') ),
c_0_21 ).
cnf(c_0_25,plain,
~ 'E'(f(X1),'0'),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( ~ 'E'(f(X2),s('0'))
| ~ 'E'(f(X1),s(s('0'))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_15]),c_0_10]),c_0_11])]),c_0_25]) ).
cnf(c_0_27,plain,
~ 'E'(f(X1),s('0')),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_28,plain,
$false,
inference(sr,[status(thm)],[c_0_23,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO633-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.38 % Computer : n001.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8046.5625MB
% 0.15/0.38 % OS : Linux 6.8.0-71-generic
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon Sep 21 12:12:00 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 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
% 0.18/0.52 % Version: 3.5.1
% 0.18/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.52 % Starting sh5l with 300s (1) cores
% 0.18/0.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3071457 completed with status 0
% 0.18/0.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.52 % No SInE strategy applied
% 0.18/0.52 % Search class: FHHNM-FFMF21-DFFFFFNN
% 0.18/0.52 % partial match(1): FHHNM-FFMS21-DFFFFFNN
% 0.18/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 136s (1) cores
% 0.18/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.18/0.52 % Starting new_bool_1 with 136s (1) cores
% 0.18/0.52 % SubtermCWHack with pid 3071458 completed with status 0
% 0.18/0.52 % Result found by SubtermCWHack
% 0.18/0.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.52 % No SInE strategy applied
% 0.18/0.52 % Search class: FHHNM-FFMF21-DFFFFFNN
% 0.18/0.52 % partial match(1): FHHNM-FFMS21-DFFFFFNN
% 0.18/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.52 % Preprocessing time : 0.002 s
% 0.18/0.52
% 0.18/0.52 % Proof found!
% 0.18/0.52 % SZS status Unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation
% See solution above
% 0.18/0.52 % Parsed axioms : 13
% 0.18/0.52 % Removed by relevancy pruning/SinE : 0
% 0.18/0.52 % Initial clauses : 13
% 0.18/0.52 % Removed in clause preprocessing : 0
% 0.18/0.52 % Initial clauses in saturation : 13
% 0.18/0.52 % Processed clauses : 17
% 0.18/0.52 % ...of these trivial : 0
% 0.18/0.52 % ...subsumed : 0
% 0.18/0.52 % ...remaining for further processing : 17
% 0.18/0.52 % Other redundant clauses eliminated : 0
% 0.18/0.52 % Clauses deleted for lack of memory : 0
% 0.18/0.52 % Backward-subsumed : 3
% 0.18/0.52 % Backward-rewritten : 2
% 0.18/0.52 % Generated clauses : 6
% 0.18/0.52 % ...of the previous two non-redundant : 5
% 0.18/0.52 % ...aggressively subsumed : 0
% 0.18/0.52 % Contextual simplify-reflections : 0
% 0.18/0.52 % Paramodulations : 5
% 0.18/0.52 % Factorizations : 0
% 0.18/0.52 % NegExts : 0
% 0.18/0.52 % Equation resolutions : 0
% 0.18/0.52 % Disequality decompositions : 0
% 0.18/0.52 % Total rewrite steps : 24
% 0.18/0.52 % ...of those cached : 16
% 0.18/0.52 % Propositional unsat checks : 0
% 0.18/0.52 % Propositional check models : 0
% 0.18/0.52 % Propositional check unsatisfiable : 0
% 0.18/0.52 % Propositional clauses : 0
% 0.18/0.52 % Propositional clauses after purity: 0
% 0.18/0.52 % Propositional unsat core size : 0
% 0.18/0.52 % Propositional preprocessing time : 0.000
% 0.18/0.52 % Propositional encoding time : 0.000
% 0.18/0.52 % Propositional solver time : 0.000
% 0.18/0.52 % Success case prop preproc time : 0.000
% 0.18/0.52 % Success case prop encoding time : 0.000
% 0.18/0.52 % Success case prop solver time : 0.000
% 0.18/0.52 % Current number of processed clauses : 11
% 0.18/0.52 % Positive orientable unit clauses : 9
% 0.18/0.52 % Positive unorientable unit clauses: 0
% 0.18/0.52 % Negative unit clauses : 2
% 0.18/0.52 % Non-unit-clauses : 0
% 0.18/0.52 % Current number of unprocessed clauses: 1
% 0.18/0.52 % ...number of literals in the above : 6
% 0.18/0.52 % Current number of archived formulas : 0
% 0.18/0.52 % Current number of archived clauses : 6
% 0.18/0.52 % Clause-clause subsumption calls (NU) : 2
% 0.18/0.52 % Rec. Clause-clause subsumption calls : 2
% 0.18/0.52 % Non-unit clause-clause subsumptions : 1
% 0.18/0.52 % Unit Clause-clause subsumption calls : 2
% 0.18/0.52 % Rewrite failures with RHS unbound : 0
% 0.18/0.52 % BW rewrite match attempts : 9
% 0.18/0.52 % BW rewrite match successes : 2
% 0.18/0.52 % Condensation attempts : 0
% 0.18/0.52 % Condensation successes : 0
% 0.18/0.52 % Termbank termtop insertions : 1359
% 0.18/0.52 % Search garbage collected termcells : 52
% 0.18/0.52
% 0.18/0.52 % -------------------------------------------------
% 0.18/0.52 % User time : 0.003 s
% 0.18/0.52 % System time : 0.007 s
% 0.18/0.52 % Total time : 0.010 s
% 0.18/0.52 % Maximum resident set size: 3652 pages
% 0.18/0.52
% 0.18/0.52 % -------------------------------------------------
% 0.18/0.52 % User time : 0.015 s
% 0.18/0.52 % System time : 0.019 s
% 0.18/0.52 % Total time : 0.034 s
% 0.18/0.52 % Maximum resident set size: 4608 pages
% 0.18/0.52 % E exiting
%------------------------------------------------------------------------------