%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL378-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 : Mon Sep 7 12:58:22 PM UTC 2026
% Result : Unsatisfiable 84.25s 84.54s
% Output : CNFRefutation 84.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of clauses : 45 ( 32 unt; 0 nHn; 10 RR)
% Number of literals : 59 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_36,negated_conjecture,
~ is_a_theorem(implies(not(x),implies(x,y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_36) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X11,X12),implies(implies(X12,X10),implies(X11,X10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X22,X23))
| is_a_theorem(implies(implies(X23,X21),implies(X22,X21))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,[status(thm)],[c4,cn_2]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(not(implies(X235,X236)),implies(X235,X236)),implies(implies(X236,X234),implies(X235,X234)))),
inference(resolution,[status(thm)],[c19,cn_1]) ).
cnf(c294,plain,
( ~ is_a_theorem(implies(not(implies(X4219,X4220)),implies(X4219,X4220)))
| is_a_theorem(implies(implies(X4220,X4221),implies(X4219,X4221))) ),
inference(resolution,[status(thm)],[c25,condensed_detachment]) ).
cnf(c17,plain,
is_a_theorem(implies(implies(implies(implies(not(X130),X130),X129),X128),implies(implies(X130,X129),X128))),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(c136,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1782),X1782),X1784),X1783))
| is_a_theorem(implies(implies(X1782,X1784),X1783)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(implies(X77,X75),implies(X76,X75)),X78),implies(implies(X76,X77),X78))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c72,plain,
( ~ is_a_theorem(implies(implies(implies(X714,X712),implies(X715,X712)),X713))
| is_a_theorem(implies(implies(X715,X714),X713)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c22,plain,
( ~ is_a_theorem(implies(implies(not(X50),X49),X51))
| is_a_theorem(implies(X50,X51)) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,[status(thm)],[c22,cn_2]) ).
cnf(c55,plain,
is_a_theorem(implies(not(implies(X61,X61)),X62)),
inference(resolution,[status(thm)],[c42,c1]) ).
cnf(c58,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,[status(thm)],[c55,c4]) ).
cnf(c120,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,[status(thm)],[c58,c22]) ).
cnf(c125,plain,
is_a_theorem(implies(implies(implies(not(implies(X219,X219)),X217),X218),implies(X216,X218))),
inference(resolution,[status(thm)],[c120,c4]) ).
cnf(c254,plain,
( ~ is_a_theorem(implies(implies(not(implies(X222,X222)),X221),X220))
| is_a_theorem(implies(X223,X220)) ),
inference(resolution,[status(thm)],[c125,condensed_detachment]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(not(implies(X250,X249)),implies(X250,X249)),implies(implies(not(X250),X250),X249))),
inference(resolution,[status(thm)],[c19,c12]) ).
cnf(c315,plain,
is_a_theorem(implies(X275,implies(implies(not(X274),X274),X274))),
inference(resolution,[status(thm)],[c26,c254]) ).
cnf(c335,plain,
is_a_theorem(implies(implies(implies(implies(not(X1358),X1358),X1358),X1356),implies(X1357,X1356))),
inference(resolution,[status(thm)],[c315,c4]) ).
cnf(c1403,plain,
is_a_theorem(implies(implies(X1757,implies(not(X1759),X1759)),implies(X1758,implies(X1757,X1759)))),
inference(resolution,[status(thm)],[c335,c72]) ).
cnf(c260,plain,
is_a_theorem(implies(X226,implies(X225,X225))),
inference(resolution,[status(thm)],[c254,cn_2]) ).
cnf(c278,plain,
is_a_theorem(implies(implies(implies(X299,X299),X297),implies(X298,X297))),
inference(resolution,[status(thm)],[c260,c4]) ).
cnf(c695,plain,
is_a_theorem(implies(implies(X719,X720),implies(X721,implies(X719,X720)))),
inference(resolution,[status(thm)],[c72,c278]) ).
cnf(c717,plain,
is_a_theorem(implies(X725,implies(X726,implies(not(X725),X727)))),
inference(resolution,[status(thm)],[c695,c22]) ).
cnf(c728,plain,
is_a_theorem(implies(implies(implies(X1484,implies(not(X1485),X1483)),X1486),implies(X1485,X1486))),
inference(resolution,[status(thm)],[c717,c4]) ).
cnf(c1561,plain,
( ~ is_a_theorem(implies(implies(X2337,implies(not(X2339),X2338)),X2336))
| is_a_theorem(implies(X2339,X2336)) ),
inference(resolution,[status(thm)],[c728,condensed_detachment]) ).
cnf(c2515,plain,
is_a_theorem(implies(X2357,implies(X2355,implies(X2356,X2357)))),
inference(resolution,[status(thm)],[c1561,c1403]) ).
cnf(c2542,plain,
is_a_theorem(implies(implies(implies(X2696,implies(X2693,X2694)),X2695),implies(X2694,X2695))),
inference(resolution,[status(thm)],[c2515,c4]) ).
cnf(c3206,plain,
is_a_theorem(implies(implies(implies(X2865,X2864),X2863),implies(X2864,X2863))),
inference(resolution,[status(thm)],[c2542,c136]) ).
cnf(c3654,plain,
( ~ is_a_theorem(implies(implies(X2978,X2979),X2980))
| is_a_theorem(implies(X2979,X2980)) ),
inference(resolution,[status(thm)],[c3206,condensed_detachment]) ).
cnf(c1817,plain,
is_a_theorem(implies(implies(not(X10711),X10710),implies(X10709,implies(implies(X10710,X10711),X10711)))),
inference(resolution,[status(thm)],[c1403,c72]) ).
cnf(c21113,plain,
is_a_theorem(implies(X10722,implies(X10723,implies(implies(X10722,X10721),X10721)))),
inference(resolution,[status(thm)],[c1817,c3654]) ).
cnf(c1826,plain,
( ~ is_a_theorem(implies(X14732,implies(not(X14733),X14733)))
| is_a_theorem(implies(X14731,implies(X14732,X14733))) ),
inference(resolution,[status(thm)],[c1403,condensed_detachment]) ).
cnf(c32506,plain,
is_a_theorem(implies(X14787,implies(X14789,implies(implies(X14789,X14788),X14788)))),
inference(resolution,[status(thm)],[c1826,c21113]) ).
cnf(c32833,plain,
is_a_theorem(implies(implies(implies(implies(X19150,X19149),X19149),X19148),implies(X19150,X19148))),
inference(resolution,[status(thm)],[c32506,c294]) ).
cnf(c46188,plain,
( ~ is_a_theorem(implies(implies(implies(X20645,X20647),X20647),X20646))
| is_a_theorem(implies(X20645,X20646)) ),
inference(resolution,[status(thm)],[c32833,condensed_detachment]) ).
cnf(c50458,plain,
is_a_theorem(implies(not(X20677),implies(X20677,X20676))),
inference(resolution,[status(thm)],[c46188,c16]) ).
cnf(c50877,plain,
$false,
inference(resolution,[status(thm)],[c50458,prove_cn_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL378-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.37 % Computer : n017.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 : Fri Sep 4 19:56:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.15/0.43 (re.compile("\."), Token.FullStop),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.15/0.43 (re.compile("\("), Token.OpenPar),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.15/0.43 (re.compile("\)"), Token.ClosePar),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.15/0.43 (re.compile("\["), Token.OpenSquare),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.15/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.43 (re.compile("~\|"), Token.Nor),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.43 (re.compile("\|"), Token.Or),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.15/0.43 (re.compile("\?"), Token.Existential),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.15/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.15/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.23/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.33/0.60 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.60 """
% 84.25/84.54 % Version: 1.5
% 84.25/84.54 % SZS status Unsatisfiable
% 84.25/84.54 % SZS output start CNFRefutation
% See solution above
% 84.25/84.54
% 84.25/84.54 % Initial clauses : 5
% 84.25/84.54 % Processed clauses : 955
% 84.25/84.54 % Factors computed : 0
% 84.25/84.54 % Resolvents computed: 50900
% 84.25/84.54 % Tautologies deleted: 1
% 84.25/84.54 % Forward subsumed : 5138
% 84.25/84.54 % Backward subsumed : 95
% 84.25/84.54 % -------- CPU Time ---------
% 84.25/84.54 % User time : 83.953 s
% 84.25/84.54 % System time : 0.199 s
% 84.25/84.54 % Total time : 84.152 s
%------------------------------------------------------------------------------