%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ037-3 : TPTP v9.2.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:02:45 PM UTC 2026
% Result : Unsatisfiable 40.73s 23.29s
% Output : CNFRefutation 40.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 17 RR)
% Number of literals : 25 ( 0 equ; 10 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 : 432 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(bzy,axiom,
( state(X18,X30,X42,X4,X5,X6,X7,X8,X9,X3,X11,X12,X13,X14,X15,X16,X17,X54,X43,X31,X19,X2,X23,X24,X25,X26,X27,X28,X29,X53,X44,X32,X20,X1,X35,X36,X37,X38,X39,X40,X41,X52,X45,X33,X21,X46,X47,X48,X49,X50,X51,X10,X22,X34)
| ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bzy) ).
cnf(start_with_this,hypothesis,
state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_with_this) ).
cnf(myz,axiom,
( state(X1,X2,X3,X35,X23,X11,X7,X8,X9,X10,X49,X12,X13,X14,X15,X16,X4,X18,X19,X20,X21,X22,X50,X24,X25,X26,X27,X28,X5,X30,X31,X32,X33,X34,X51,X36,X37,X38,X39,X40,X6,X42,X43,X44,X45,X46,X47,X48,X41,X29,X17,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,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',myz) ).
cnf(byx,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,X43,X44,X45,X34,X35,X36,X37,X38,X39,X40,X41,X42,X52,X49,X46,X53,X50,X47,X54,X51,X48)
| ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',byx) ).
cnf(lzx,axiom,
( 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)
| ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lzx) ).
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(c_0_6,axiom,
( state(X18,X30,X42,X4,X5,X6,X7,X8,X9,X3,X11,X12,X13,X14,X15,X16,X17,X54,X43,X31,X19,X2,X23,X24,X25,X26,X27,X28,X29,X53,X44,X32,X20,X1,X35,X36,X37,X38,X39,X40,X41,X52,X45,X33,X21,X46,X47,X48,X49,X50,X51,X10,X22,X34)
| ~ 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) ),
bzy ).
cnf(c_0_7,hypothesis,
state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
start_with_this ).
cnf(c_0_8,axiom,
( state(X1,X2,X3,X35,X23,X11,X7,X8,X9,X10,X49,X12,X13,X14,X15,X16,X4,X18,X19,X20,X21,X22,X50,X24,X25,X26,X27,X28,X5,X30,X31,X32,X33,X34,X51,X36,X37,X38,X39,X40,X6,X42,X43,X44,X45,X46,X47,X48,X41,X29,X17,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,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) ),
myz ).
cnf(c_0_9,hypothesis,
state(y,b,b,w,w,w,y,b,b,r,y,r,b,g,g,o,g,o,y,y,w,r,o,r,b,g,g,o,r,o,y,y,w,b,o,g,o,o,o,y,r,w,r,r,r,w,w,w,b,b,y,g,g,g),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,hypothesis,
state(y,b,b,o,o,y,y,b,b,r,b,r,b,g,g,o,w,o,y,y,w,r,b,r,b,g,g,o,w,o,y,y,w,b,y,g,o,o,o,y,w,w,r,r,r,w,w,w,r,r,g,g,g,g),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,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,X43,X44,X45,X34,X35,X36,X37,X38,X39,X40,X41,X42,X52,X49,X46,X53,X50,X47,X54,X51,X48)
| ~ 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) ),
byx ).
cnf(c_0_12,hypothesis,
state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_13,axiom,
( 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)
| ~ 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) ),
lzx ).
cnf(c_0_14,hypothesis,
state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,g,w,w,g,w,w,g,w,w),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
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),
make_like_this ).
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
% 0.00/0.12 % Problem : PUZ037-3 : TPTP v9.2.1. Released v2.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:34:15 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 40.73/23.29 % Version : CSE_E---1.7
% 40.73/23.29 % Problem : theBenchmark.p
% 40.73/23.29 % SZS status Unsatisfiable for theBenchmark.p
% 40.73/23.29 % SZS output start CNFRefutation
% See solution above
% 40.93/23.41 % Total time : 18.433s
%------------------------------------------------------------------------------