%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ016-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:02:17 PM UTC 2026
% Result : Satisfiable 0.11s 0.45s
% Output : Saturation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_95ERROR: Could not build tree for root c_0_137ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_49,negated_conjecture,
~ horizontal_1_1,
c_0_45,
[final] ).
cnf(c_0_52,negated_conjecture,
~ horizontal_1_3,
c_0_46,
[final] ).
cnf(c_0_55,negated_conjecture,
vertical_1_1,
inference(sr,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_59,negated_conjecture,
vertical_1_4,
inference(sr,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_61,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
c_0_53,
[final] ).
cnf(c_0_62,negated_conjecture,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2 ),
covered_4_2,
[final] ).
cnf(c_0_64,negated_conjecture,
~ vertical_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
[final] ).
cnf(c_0_66,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
c_0_56,
[final] ).
cnf(c_0_67,negated_conjecture,
( vertical_3_4
| horizontal_4_3 ),
covered_4_4,
[final] ).
cnf(c_0_68,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
c_0_57,
[final] ).
cnf(c_0_69,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3 ),
covered_4_3,
[final] ).
cnf(c_0_71,negated_conjecture,
~ vertical_2_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]),
[final] ).
cnf(c_0_73,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
c_0_60,
[final] ).
cnf(c_0_74,negated_conjecture,
( vertical_3_1
| horizontal_4_1 ),
covered_4_1,
[final] ).
cnf(c_0_76,negated_conjecture,
( ~ vertical_3_1
| vertical_3_2
| horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_77,negated_conjecture,
( horizontal_3_1
| vertical_3_1 ),
inference(sr,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_78,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
c_0_65,
[final] ).
cnf(c_0_79,negated_conjecture,
( ~ horizontal_4_2
| vertical_3_4 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]),
[final] ).
cnf(c_0_81,negated_conjecture,
( ~ vertical_3_4
| vertical_3_3
| horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]),
[final] ).
cnf(c_0_82,negated_conjecture,
( horizontal_3_3
| vertical_3_4 ),
inference(sr,[status(thm)],[c_0_70,c_0_71]),
[final] ).
cnf(c_0_83,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
c_0_72,
[final] ).
cnf(c_0_84,negated_conjecture,
( ~ horizontal_4_2
| vertical_3_1 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_85,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
c_0_75,
[final] ).
cnf(c_0_86,negated_conjecture,
( horizontal_3_1
| vertical_3_2
| horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]),
[final] ).
cnf(c_0_87,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_89,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
c_0_80,
[final] ).
cnf(c_0_90,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]),
[final] ).
cnf(c_0_92,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]),
[final] ).
cnf(c_0_96,negated_conjecture,
( ~ vertical_3_3
| horizontal_3_1
| vertical_3_2 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]),
[final] ).
cnf(c_0_97,negated_conjecture,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
covered_3_3,
[final] ).
cnf(c_0_98,negated_conjecture,
( ~ horizontal_3_3
| horizontal_3_1
| vertical_3_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_86]),
[final] ).
cnf(c_0_101,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
c_0_88,
[final] ).
cnf(c_0_102,negated_conjecture,
( ~ vertical_3_2
| horizontal_3_3
| vertical_3_3 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]),
[final] ).
cnf(c_0_103,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
c_0_91,
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ horizontal_3_1
| horizontal_3_3
| vertical_3_3 ),
inference(spm,[status(thm)],[c_0_92,c_0_90]),
[final] ).
cnf(c_0_112,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_2 ),
c_0_95,
[final] ).
cnf(c_0_113,negated_conjecture,
( vertical_2_3
| horizontal_3_1
| horizontal_3_2
| vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),
[final] ).
cnf(c_0_114,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
c_0_99,
[final] ).
cnf(c_0_115,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
c_0_100,
[final] ).
cnf(c_0_116,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),
[final] ).
cnf(c_0_117,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
covered_3_2,
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_104]),c_0_103]),
[final] ).
cnf(c_0_119,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
c_0_105,
[final] ).
cnf(c_0_121,negated_conjecture,
~ vertical_1_3,
c_0_106,
[final] ).
cnf(c_0_122,negated_conjecture,
~ horizontal_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_59])]),
[final] ).
cnf(c_0_124,negated_conjecture,
~ vertical_1_2,
c_0_108,
[final] ).
cnf(c_0_125,negated_conjecture,
~ horizontal_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_55])]),
[final] ).
cnf(c_0_126,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
c_0_110,
[final] ).
cnf(c_0_127,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
c_0_111,
[final] ).
cnf(c_0_137,negated_conjecture,
( ~ vertical_2_2
| vertical_2_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]),
[final] ).
cnf(c_0_138,negated_conjecture,
( ~ vertical_2_3
| vertical_2_2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]),
[final] ).
cnf(c_0_139,negated_conjecture,
( horizontal_2_2
| vertical_2_3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_120,c_0_121]),c_0_122]),
[final] ).
cnf(c_0_140,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_98]),c_0_114]),
[final] ).
cnf(c_0_141,negated_conjecture,
( horizontal_2_2
| vertical_2_2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_123,c_0_124]),c_0_125]),
[final] ).
cnf(c_0_142,negated_conjecture,
( ~ vertical_3_3
| vertical_3_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_67]),
[final] ).
cnf(c_0_143,negated_conjecture,
( ~ vertical_3_2
| vertical_3_1 ),
inference(spm,[status(thm)],[c_0_127,c_0_74]),
[final] ).
cnf(c_0_144,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
c_0_128,
[final] ).
cnf(c_0_145,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
c_0_129,
[final] ).
cnf(c_0_146,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
c_0_130,
[final] ).
cnf(c_0_147,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
c_0_131,
[final] ).
cnf(c_0_148,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
c_0_132,
[final] ).
cnf(c_0_149,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
c_0_133,
[final] ).
cnf(c_0_150,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
c_0_134,
[final] ).
cnf(c_0_151,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
c_0_135,
[final] ).
cnf(c_0_152,negated_conjecture,
~ horizontal_1_2,
c_0_136,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ016-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 03:45:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % new_bool_3 with pid 2173089 completed with status 1
% 0.11/0.45 % Result found by new_bool_3
% 0.11/0.45 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45 % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.11/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45 % SubtermCWHack with pid 2173094 completed with status 1
% 0.11/0.45 % Result found by SubtermCWHack
% 0.11/0.45 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45 % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.11/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45 % Preprocessing time : 0.001 s
% 0.11/0.45
% 0.11/0.45 % No proof found!
% 0.11/0.45 % SZS status Satisfiable
% 0.11/0.45 % SZS output start Saturation
% See solution above
% 0.11/0.45 % Parsed axioms : 66
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 66
% 0.11/0.45 % Removed in clause preprocessing : 0
% 0.11/0.45 % Initial clauses in saturation : 66
% 0.11/0.45 % Processed clauses : 94
% 0.11/0.45 % ...of these trivial : 2
% 0.11/0.45 % ...subsumed : 27
% 0.11/0.45 % ...remaining for further processing : 65
% 0.11/0.45 % Other redundant clauses eliminated : 0
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 0
% 0.11/0.45 % Backward-rewritten : 0
% 0.11/0.45 % Generated clauses : 61
% 0.11/0.45 % ...of the previous two non-redundant : 28
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 8
% 0.11/0.45 % Paramodulations : 61
% 0.11/0.45 % Factorizations : 0
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 0
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 8
% 0.11/0.45 % ...of those cached : 6
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 65
% 0.11/0.45 % Positive orientable unit clauses : 2
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 9
% 0.11/0.45 % Non-unit-clauses : 54
% 0.11/0.45 % Current number of unprocessed clauses: 0
% 0.11/0.45 % ...number of literals in the above : 0
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 0
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 591
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 264
% 0.11/0.45 % Non-unit clause-clause subsumptions : 16
% 0.11/0.45 % Unit Clause-clause subsumption calls : 14
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 0
% 0.11/0.45 % BW rewrite match successes : 0
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 1572
% 0.11/0.45 % Search garbage collected termcells : 71
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.005 s
% 0.11/0.45 % System time : 0.002 s
% 0.11/0.45 % Total time : 0.007 s
% 0.11/0.45 % Maximum resident set size: 3656 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.009 s
% 0.11/0.45 % System time : 0.004 s
% 0.11/0.45 % Total time : 0.013 s
% 0.11/0.45 % Maximum resident set size: 4608 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------