%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 02:01:40 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 6 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 : 162 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(myx,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,X31,X32,X33,X22,X23,X24,X25,X26,X27,X28,X29,X30,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',myx) ).
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/sandbox/benchmark/theBenchmark.p',make_like_this) ).
cnf(start_with_this,hypothesis,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_with_this) ).
cnf(c_0_3,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,X31,X32,X33,X22,X23,X24,X25,X26,X27,X28,X29,X30,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)],[myx]) ).
cnf(c_0_4,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_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,X31,X32,X33,X22,X23,X24,X25,X26,X27,X28,X29,X30,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
c_0_3 ).
cnf(c_0_6,hypothesis,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
start_with_this ).
cnf(c_0_7,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_4 ).
cnf(c_0_8,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 03:46:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.46 % Version: 3.5.1
% 0.12/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.46 % Starting sh5l with 300s (1) cores
% 0.12/0.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3065041 completed with status 0
% 0.12/0.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.12/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.46 % No SInE strategy applied
% 0.12/0.46 % Search class: FHUNF-FFLF00-SFFFFFNN
% 0.12/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.12/0.46 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3065047 completed with status 0
% 0.12/0.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.12/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.46 % No SInE strategy applied
% 0.12/0.46 % Search class: FHUNF-FFLF00-SFFFFFNN
% 0.12/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.12/0.46 % Preprocessing time : 0.002 s
% 0.12/0.46 % Presaturation interreduction done
% 0.12/0.46
% 0.12/0.46 % Proof found!
% 0.12/0.46 % SZS status Unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation
% See solution above
% 0.12/0.46 % Parsed axioms : 20
% 0.12/0.46 % Removed by relevancy pruning/SinE : 0
% 0.12/0.46 % Initial clauses : 20
% 0.12/0.46 % Removed in clause preprocessing : 0
% 0.12/0.46 % Initial clauses in saturation : 20
% 0.12/0.46 % Processed clauses : 37
% 0.12/0.46 % ...of these trivial : 0
% 0.12/0.46 % ...subsumed : 0
% 0.12/0.46 % ...remaining for further processing : 37
% 0.12/0.46 % Other redundant clauses eliminated : 0
% 0.12/0.46 % Clauses deleted for lack of memory : 0
% 0.12/0.46 % Backward-subsumed : 0
% 0.12/0.46 % Backward-rewritten : 0
% 0.12/0.46 % Generated clauses : 15
% 0.12/0.46 % ...of the previous two non-redundant : 14
% 0.12/0.46 % ...aggressively subsumed : 0
% 0.12/0.46 % Contextual simplify-reflections : 0
% 0.12/0.46 % Paramodulations : 15
% 0.12/0.46 % Factorizations : 0
% 0.12/0.46 % NegExts : 0
% 0.12/0.46 % Equation resolutions : 0
% 0.12/0.46 % Disequality decompositions : 0
% 0.12/0.46 % Total rewrite steps : 0
% 0.12/0.46 % ...of those cached : 0
% 0.12/0.46 % Propositional unsat checks : 0
% 0.12/0.46 % Propositional check models : 0
% 0.12/0.46 % Propositional check unsatisfiable : 0
% 0.12/0.46 % Propositional clauses : 0
% 0.12/0.46 % Propositional clauses after purity: 0
% 0.12/0.46 % Propositional unsat core size : 0
% 0.12/0.46 % Propositional preprocessing time : 0.000
% 0.12/0.46 % Propositional encoding time : 0.000
% 0.12/0.46 % Propositional solver time : 0.000
% 0.12/0.46 % Success case prop preproc time : 0.000
% 0.12/0.46 % Success case prop encoding time : 0.000
% 0.12/0.46 % Success case prop solver time : 0.000
% 0.12/0.46 % Current number of processed clauses : 17
% 0.12/0.46 % Positive orientable unit clauses : 1
% 0.12/0.46 % Positive unorientable unit clauses: 0
% 0.12/0.46 % Negative unit clauses : 1
% 0.12/0.46 % Non-unit-clauses : 15
% 0.12/0.46 % Current number of unprocessed clauses: 17
% 0.12/0.46 % ...number of literals in the above : 20
% 0.12/0.46 % Current number of archived formulas : 0
% 0.12/0.46 % Current number of archived clauses : 20
% 0.12/0.46 % Clause-clause subsumption calls (NU) : 516
% 0.12/0.46 % Rec. Clause-clause subsumption calls : 516
% 0.12/0.46 % Non-unit clause-clause subsumptions : 0
% 0.12/0.46 % Unit Clause-clause subsumption calls : 0
% 0.12/0.46 % Rewrite failures with RHS unbound : 0
% 0.12/0.46 % BW rewrite match attempts : 1
% 0.12/0.46 % BW rewrite match successes : 0
% 0.12/0.46 % Condensation attempts : 0
% 0.12/0.46 % Condensation successes : 0
% 0.12/0.46 % Termbank termtop insertions : 1623
% 0.12/0.46 % Search garbage collected termcells : 22
% 0.12/0.46
% 0.12/0.46 % -------------------------------------------------
% 0.12/0.46 % User time : 0.006 s
% 0.12/0.46 % System time : 0.003 s
% 0.12/0.46 % Total time : 0.009 s
% 0.12/0.46 % Maximum resident set size: 3664 pages
% 0.12/0.46
% 0.12/0.46 % -------------------------------------------------
% 0.12/0.46 % User time : 0.026 s
% 0.12/0.46 % System time : 0.017 s
% 0.12/0.46 % Total time : 0.043 s
% 0.12/0.46 % Maximum resident set size: 4864 pages
% 0.12/0.46 % E exiting
%------------------------------------------------------------------------------