%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ037-2 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:02:23 PM UTC 2026
% Result : Unsatisfiable 1.51s 0.69s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 26 ( 0 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-54 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 486 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mxy,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X25,X26,X27,X28,X29,X30,X31,X32,X33,X22,X23,X24,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxy) ).
cnf(lzx,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X13,X2,X3,X25,X5,X6,X37,X8,X9,X12,X24,X36,X46,X14,X15,X16,X17,X18,X19,X20,X7,X11,X23,X35,X49,X26,X27,X28,X29,X30,X31,X32,X4,X10,X22,X34,X52,X38,X39,X40,X41,X42,X43,X44,X1,X45,X47,X48,X33,X50,X51,X21,X53,X54) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lzx) ).
cnf(start_with_this,hypothesis,
state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_with_this) ).
cnf(rzx,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X1,X2,X15,X4,X5,X27,X7,X8,X39,X10,X11,X12,X13,X14,X48,X40,X28,X16,X9,X20,X21,X22,X23,X24,X25,X26,X51,X41,X29,X17,X6,X32,X33,X34,X35,X36,X37,X38,X54,X42,X30,X18,X3,X44,X45,X46,X47,X43,X49,X50,X31,X52,X53,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rzx) ).
cnf(make_like_this,negated_conjecture,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_like_this) ).
cnf(c_0_5,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X25,X26,X27,X28,X29,X30,X31,X32,X33,X22,X23,X24,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
inference(fof_simplification,[status(thm)],[mxy]) ).
cnf(c_0_6,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X13,X2,X3,X25,X5,X6,X37,X8,X9,X12,X24,X36,X46,X14,X15,X16,X17,X18,X19,X20,X7,X11,X23,X35,X49,X26,X27,X28,X29,X30,X31,X32,X4,X10,X22,X34,X52,X38,X39,X40,X41,X42,X43,X44,X1,X45,X47,X48,X33,X50,X51,X21,X53,X54) ),
inference(fof_simplification,[status(thm)],[lzx]) ).
cnf(c_0_7,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X25,X26,X27,X28,X29,X30,X31,X32,X33,X22,X23,X24,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
c_0_5 ).
cnf(c_0_8,hypothesis,
state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
start_with_this ).
cnf(c_0_9,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X1,X2,X15,X4,X5,X27,X7,X8,X39,X10,X11,X12,X13,X14,X48,X40,X28,X16,X9,X20,X21,X22,X23,X24,X25,X26,X51,X41,X29,X17,X6,X32,X33,X34,X35,X36,X37,X38,X54,X42,X30,X18,X3,X44,X45,X46,X47,X43,X49,X50,X31,X52,X53,X19) ),
inference(fof_simplification,[status(thm)],[rzx]) ).
cnf(c_0_10,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X13,X2,X3,X25,X5,X6,X37,X8,X9,X12,X24,X36,X46,X14,X15,X16,X17,X18,X19,X20,X7,X11,X23,X35,X49,X26,X27,X28,X29,X30,X31,X32,X4,X10,X22,X34,X52,X38,X39,X40,X41,X42,X43,X44,X1,X45,X47,X48,X33,X50,X51,X21,X53,X54) ),
c_0_6 ).
cnf(c_0_11,hypothesis,
state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(fof_simplification,[status(thm)],[make_like_this]) ).
cnf(c_0_13,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
| state(X1,X2,X15,X4,X5,X27,X7,X8,X39,X10,X11,X12,X13,X14,X48,X40,X28,X16,X9,X20,X21,X22,X23,X24,X25,X26,X51,X41,X29,X17,X6,X32,X33,X34,X35,X36,X37,X38,X54,X42,X30,X18,X3,X44,X45,X46,X47,X43,X49,X50,X31,X52,X53,X19) ),
c_0_9 ).
cnf(c_0_14,hypothesis,
state(b,b,y,b,b,y,b,b,y,r,r,r,g,g,b,o,o,o,w,y,y,r,r,r,g,g,b,o,o,o,w,y,y,r,r,r,g,g,b,o,o,o,w,y,y,w,w,g,w,w,g,w,w,g),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
c_0_12 ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ037-2 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:47:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 1.51/0.69 % Version: 3.5.1
% 1.51/0.69 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.69 % Starting new_bool_3 with 300s (1) cores
% 1.51/0.69 % Starting new_bool_1 with 300s (1) cores
% 1.51/0.69 % Starting sh5l with 300s (1) cores
% 1.51/0.69 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1930172 completed with status 0
% 1.51/0.69 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.51/0.69 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.51/0.69 % No SInE strategy applied
% 1.51/0.69 % Search class: FHUNF-FFLF00-SFFFFFNN
% 1.51/0.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.51/0.69 % Starting SubtermCWHack with 136s (1) cores
% 1.51/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.51/0.69 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.51/0.69 % Starting new_bool_3 with 136s (1) cores
% 1.51/0.69 % Starting new_bool_1 with 136s (1) cores
% 1.51/0.69 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1930177 completed with status 0
% 1.51/0.69 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.51/0.69 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.51/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.51/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.51/0.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.51/0.69 % No SInE strategy applied
% 1.51/0.69 % Search class: FHUNF-FFLF00-SFFFFFNN
% 1.51/0.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.51/0.69 % Starting SubtermCWHack with 136s (1) cores
% 1.51/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.51/0.69 % Preprocessing time : 0.002 s
% 1.51/0.69 % Presaturation interreduction done
% 1.51/0.69
% 1.51/0.69 % Proof found!
% 1.51/0.69 % SZS status Unsatisfiable
% 1.51/0.69 % SZS output start CNFRefutation
% See solution above
% 1.51/0.69 % Parsed axioms : 20
% 1.51/0.69 % Removed by relevancy pruning/SinE : 0
% 1.51/0.69 % Initial clauses : 20
% 1.51/0.69 % Removed in clause preprocessing : 0
% 1.51/0.69 % Initial clauses in saturation : 20
% 1.51/0.69 % Processed clauses : 328
% 1.51/0.69 % ...of these trivial : 36
% 1.51/0.69 % ...subsumed : 0
% 1.51/0.69 % ...remaining for further processing : 292
% 1.51/0.69 % Other redundant clauses eliminated : 0
% 1.51/0.69 % Clauses deleted for lack of memory : 0
% 1.51/0.69 % Backward-subsumed : 0
% 1.51/0.69 % Backward-rewritten : 0
% 1.51/0.69 % Generated clauses : 4554
% 1.51/0.69 % ...of the previous two non-redundant : 4257
% 1.51/0.69 % ...aggressively subsumed : 0
% 1.51/0.69 % Contextual simplify-reflections : 0
% 1.51/0.69 % Paramodulations : 4554
% 1.51/0.69 % Factorizations : 0
% 1.51/0.69 % NegExts : 0
% 1.51/0.69 % Equation resolutions : 0
% 1.51/0.69 % Disequality decompositions : 0
% 1.51/0.69 % Total rewrite steps : 332
% 1.51/0.69 % ...of those cached : 277
% 1.51/0.69 % Propositional unsat checks : 0
% 1.51/0.69 % Propositional check models : 0
% 1.51/0.69 % Propositional check unsatisfiable : 0
% 1.51/0.69 % Propositional clauses : 0
% 1.51/0.69 % Propositional clauses after purity: 0
% 1.51/0.69 % Propositional unsat core size : 0
% 1.51/0.69 % Propositional preprocessing time : 0.000
% 1.51/0.69 % Propositional encoding time : 0.000
% 1.51/0.69 % Propositional solver time : 0.000
% 1.51/0.69 % Success case prop preproc time : 0.000
% 1.51/0.69 % Success case prop encoding time : 0.000
% 1.51/0.69 % Success case prop solver time : 0.000
% 1.51/0.69 % Current number of processed clauses : 272
% 1.51/0.69 % Positive orientable unit clauses : 253
% 1.51/0.69 % Positive unorientable unit clauses: 0
% 1.51/0.69 % Negative unit clauses : 1
% 1.51/0.69 % Non-unit-clauses : 18
% 1.51/0.69 % Current number of unprocessed clauses: 3953
% 1.51/0.69 % ...number of literals in the above : 3953
% 1.51/0.69 % Current number of archived formulas : 0
% 1.51/0.69 % Current number of archived clauses : 20
% 1.51/0.69 % Clause-clause subsumption calls (NU) : 612
% 1.51/0.69 % Rec. Clause-clause subsumption calls : 612
% 1.51/0.69 % Non-unit clause-clause subsumptions : 0
% 1.51/0.69 % Unit Clause-clause subsumption calls : 0
% 1.51/0.69 % Rewrite failures with RHS unbound : 0
% 1.51/0.69 % BW rewrite match attempts : 4880
% 1.51/0.69 % BW rewrite match successes : 0
% 1.51/0.69 % Condensation attempts : 0
% 1.51/0.69 % Condensation successes : 0
% 1.51/0.69 % Termbank termtop insertions : 264903
% 1.51/0.69 % Search garbage collected termcells : 22
% 1.51/0.69
% 1.51/0.69 % -------------------------------------------------
% 1.51/0.69 % User time : 0.158 s
% 1.51/0.69 % System time : 0.036 s
% 1.51/0.69 % Total time : 0.194 s
% 1.51/0.69 % Maximum resident set size: 3612 pages
% 1.51/0.69
% 1.51/0.69 % -------------------------------------------------
% 1.51/0.69 % User time : 0.744 s
% 1.51/0.69 % System time : 0.166 s
% 1.51/0.69 % Total time : 0.910 s
% 1.51/0.69 % Maximum resident set size: 4608 pages
% 1.51/0.69 % E exiting
%------------------------------------------------------------------------------