%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ037-2 : 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 : n017.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 05:02:44 PM UTC 2026
% Result : Unsatisfiable 4.69s 3.36s
% Output : CNFRefutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 8 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 : 324 ( 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,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)
| ~ 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',mxy) ).
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/sandbox/benchmark/theBenchmark.p',start_with_this) ).
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(rzx,axiom,
( 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)
| ~ 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',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/sandbox/benchmark/theBenchmark.p',make_like_this) ).
cnf(c_0_5,axiom,
( 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)
| ~ 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) ),
mxy ).
cnf(c_0_6,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_7,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_8,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_5,c_0_6]) ).
cnf(c_0_9,axiom,
( 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)
| ~ 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) ),
rzx ).
cnf(c_0_10,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_7,c_0_8]) ).
cnf(c_0_11,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_12,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ037-2 : 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
% 0.16/0.33 % Computer : n017.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:32:42 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.69/3.36 % Version : CSE_E---1.7
% 4.69/3.36 % Problem : theBenchmark.p
% 4.69/3.36 % SZS status Unsatisfiable for theBenchmark.p
% 4.69/3.36 % SZS output start CNFRefutation
% See solution above
% 4.69/3.37 % Total time : 2.374s
%------------------------------------------------------------------------------