%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL188-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 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 : Mon Sep 7 12:58:01 PM UTC 2026
% Result : Unsatisfiable 36.26s 36.51s
% Output : CNFRefutation 36.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 33 ( 21 unt; 0 nHn; 13 RR)
% Number of literals : 49 ( 13 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(p,implies(or(p,q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_2,axiom,
( theorem(X24)
| ~ theorem(implies(X23,X24))
| ~ theorem(X23) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X18,X19),or(X19,X18))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c10,plain,
theorem(implies(or(X43,X44),or(X44,X43))),
inference(resolution,[status(thm)],[axiom_1_4,rule_1]) ).
cnf(c26,plain,
( theorem(or(X55,X56))
| ~ theorem(or(X56,X55)) ),
inference(resolution,[status(thm)],[c10,rule_2]) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X29,or(X30,X28)),or(X30,or(X29,X28)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c18,plain,
theorem(implies(or(X100,or(X99,X101)),or(X99,or(X100,X101)))),
inference(resolution,[status(thm)],[axiom_1_5,rule_1]) ).
cnf(c70,plain,
( theorem(or(X353,or(X352,X351)))
| ~ theorem(or(X352,or(X353,X351))) ),
inference(resolution,[status(thm)],[c18,rule_2]) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X7,X7),X7)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c6,plain,
theorem(implies(or(X10,X10),X10)),
inference(resolution,[status(thm)],[axiom_1_2,rule_1]) ).
cnf(c15,plain,
( theorem(X27)
| ~ theorem(or(X27,X27)) ),
inference(resolution,[status(thm)],[rule_2,c6]) ).
cnf(axiom_1_3,axiom,
axiom(implies(X8,or(X9,X8))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c3,axiom,
( X13 != X14
| ~ axiom(X13)
| axiom(X14) ),
theory(equality) ).
cnf(implies_definition,axiom,
implies(X22,X21) = or(not(X22),X21),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c11,plain,
( ~ axiom(implies(X76,X77))
| axiom(or(not(X76),X77)) ),
inference(resolution,[status(thm)],[implies_definition,c3]) ).
cnf(c51,plain,
axiom(or(not(X82),or(X83,X82))),
inference(resolution,[status(thm)],[c11,axiom_1_3]) ).
cnf(c57,plain,
theorem(or(not(X86),or(X85,X86))),
inference(resolution,[status(thm)],[c51,rule_1]) ).
cnf(c319,plain,
theorem(or(X355,or(not(X354),X354))),
inference(resolution,[status(thm)],[c70,c57]) ).
cnf(c328,plain,
theorem(or(not(X356),X356)),
inference(resolution,[status(thm)],[c319,c15]) ).
cnf(c336,plain,
theorem(or(X676,or(not(or(X676,X677)),X677))),
inference(resolution,[status(thm)],[c328,c70]) ).
cnf(c1168,plain,
theorem(or(or(not(or(X839,X840)),X840),X839)),
inference(resolution,[status(thm)],[c336,c26]) ).
cnf(c4,axiom,
( X16 != X17
| ~ theorem(X16)
| theorem(X17) ),
theory(equality) ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(c13,plain,
or(not(X45),X46) = implies(X45,X46),
inference(resolution,[status(thm)],[implies_definition,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X79 != X80
| X81 != X78
| or(X79,X81) = or(X80,X78) ),
theory(equality) ).
cnf(c55,plain,
( X148 != X147
| or(X148,X149) = or(X147,X149) ),
inference(resolution,[status(thm)],[c1,reflexivity]) ).
cnf(c115,plain,
or(or(not(X665),X666),X667) = or(implies(X665,X666),X667),
inference(resolution,[status(thm)],[c55,c13]) ).
cnf(c1152,plain,
( ~ theorem(or(or(not(X11027),X11028),X11029))
| theorem(or(implies(X11027,X11028),X11029)) ),
inference(resolution,[status(thm)],[c115,c4]) ).
cnf(c28053,plain,
theorem(or(implies(or(X11112,X11111),X11111),X11112)),
inference(resolution,[status(thm)],[c1152,c1168]) ).
cnf(c29332,plain,
theorem(or(X11164,implies(or(X11164,X11165),X11165))),
inference(resolution,[status(thm)],[c28053,c26]) ).
cnf(c29540,plain,
$false,
inference(resolution,[status(thm)],[c29332,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL188-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 19:31:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.33/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 36.26/36.51 % Version: 1.5
% 36.26/36.51 % SZS status Unsatisfiable
% 36.26/36.51 % SZS output start CNFRefutation
% See solution above
% 36.26/36.51
% 36.26/36.51 % Initial clauses : 17
% 36.26/36.51 % Processed clauses : 1188
% 36.26/36.51 % Factors computed : 3
% 36.26/36.51 % Resolvents computed: 29537
% 36.26/36.51 % Tautologies deleted: 5
% 36.26/36.51 % Forward subsumed : 3232
% 36.26/36.51 % Backward subsumed : 7
% 36.26/36.51 % -------- CPU Time ---------
% 36.26/36.51 % User time : 36.045 s
% 36.26/36.51 % System time : 0.107 s
% 36.26/36.51 % Total time : 36.151 s
%------------------------------------------------------------------------------