%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 12:59:17 PM UTC 2026
% Result : Unsatisfiable 10.17s 10.44s
% Output : CNFRefutation 10.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_uIT_0,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).
cnf(cls_CHAINED_0_01,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_CHAINED_0,axiom,
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X339,X340))
| ~ c_Type_Otyping(X338,X339,v_T____)
| ~ c_InductTermi_OIT(X339)
| ~ c_Type_Otyping(c_Type_Oshift(X338,X340,v_T____,tc_Type_Otype),v_a____,X341) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_CHAINED_0_03,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
cnf(c718,plain,
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X2856,v_i____))
| ~ c_Type_Otyping(v_e____,X2856,v_T____)
| ~ c_InductTermi_OIT(X2856) ),
inference(resolution,[status(thm)],[cls_CHAINED_0_03,cls_CHAINED_0]) ).
cnf(c17226,plain,
( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))
| ~ c_InductTermi_OIT(v_u____) ),
inference(resolution,[status(thm)],[c718,cls_CHAINED_0_01]) ).
cnf(c17227,plain,
c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
inference(resolution,[status(thm)],[c17226,cls_uIT_0]) ).
cnf(c17232,plain,
$false,
inference(resolution,[status(thm)],[c17227,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL798-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 20:42:16 UTC 2026
% 0.11/0.36 % 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),
% 0.25/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.25/0.49 """
% 0.25/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.25/0.49 """
% 0.34/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.58 """
% 10.17/10.44 % Version: 1.5
% 10.17/10.44 % SZS status Unsatisfiable
% 10.17/10.44 % SZS output start CNFRefutation
% See solution above
% 10.17/10.44
% 10.17/10.44 % Initial clauses : 104
% 10.17/10.44 % Processed clauses : 1382
% 10.17/10.44 % Factors computed : 31
% 10.17/10.44 % Resolvents computed: 17186
% 10.17/10.44 % Tautologies deleted: 18
% 10.17/10.44 % Forward subsumed : 601
% 10.17/10.44 % Backward subsumed : 2
% 10.17/10.44 % -------- CPU Time ---------
% 10.17/10.44 % User time : 10.010 s
% 10.17/10.44 % System time : 0.075 s
% 10.17/10.44 % Total time : 10.085 s
%------------------------------------------------------------------------------