%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL439-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 12:58:31 PM UTC 2026
% Result : Unsatisfiable 0.89s 1.17s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 19 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_PropLog_Odeduction_0,axiom,
( ~ c_in(X15,c_PropLog_Othms(c_insert(X16,X14,tc_PropLog_Opl(X17)),X17),tc_PropLog_Opl(X17))
| c_in(c_PropLog_Opl_Oop_A_N_62(X16,X15,X17),c_PropLog_Othms(X14,X17),tc_PropLog_Opl(X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X2,c_insert(X2,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(X6,X5,tc_PropLog_Opl(X7))
| c_in(X6,c_PropLog_Othms(X5,X7),tc_PropLog_Opl(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(c0,plain,
c_in(X10,c_PropLog_Othms(c_insert(X10,X8,tc_PropLog_Opl(X9)),X9),tc_PropLog_Opl(X9)),
inference(resolution,[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).
cnf(cls_PropLog_Othms__notE_0,axiom,
( ~ c_in(X34,c_PropLog_Othms(X32,X35),tc_PropLog_Opl(X35))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X34,c_PropLog_Opl_Ofalse,X35),c_PropLog_Othms(X32,X35),tc_PropLog_Opl(X35))
| c_in(X33,c_PropLog_Othms(X32,X35),tc_PropLog_Opl(X35)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( ~ c_in(X52,c_PropLog_Othms(X51,X53),tc_PropLog_Opl(X53))
| c_in(X52,c_PropLog_Othms(c_insert(X54,X51,tc_PropLog_Opl(X53)),X53),tc_PropLog_Opl(X53)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(c26,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X211,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_0]) ).
cnf(c121,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_insert(X1125,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(X1124,c_PropLog_Othms(c_insert(X1125,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[status(thm)],[c26,cls_PropLog_Othms__notE_0]) ).
cnf(c802,plain,
c_in(X1127,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c121,c0]) ).
cnf(c815,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X1128,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[status(thm)],[c802,cls_PropLog_Odeduction_0]) ).
cnf(c817,plain,
$false,
inference(resolution,[status(thm)],[c815,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL439-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n029.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 : Sun Sep 6 01:33:25 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.33/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 0.89/1.17 % Version: 1.5
% 0.89/1.17 % SZS status Unsatisfiable
% 0.89/1.17 % SZS output start CNFRefutation
% See solution above
% 0.89/1.17
% 0.89/1.17 % Initial clauses : 7
% 0.89/1.17 % Processed clauses : 120
% 0.89/1.17 % Factors computed : 0
% 0.89/1.17 % Resolvents computed: 821
% 0.89/1.17 % Tautologies deleted: 0
% 0.89/1.17 % Forward subsumed : 159
% 0.89/1.17 % Backward subsumed : 1
% 0.89/1.17 % -------- CPU Time ---------
% 0.89/1.17 % User time : 0.781 s
% 0.89/1.17 % System time : 0.029 s
% 0.89/1.17 % Total time : 0.810 s
%------------------------------------------------------------------------------