%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT058-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 : Tue Sep 8 06:18:48 AM UTC 2026
% Result : Unsatisfiable 0.88s 1.13s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 40 ( 15 unt; 9 nHn; 35 RR)
% Number of literals : 75 ( 25 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lemma_10_47,negated_conjecture,
robust_position(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10_47) ).
cnf(lemma_10_46,negated_conjecture,
fragile_position(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10_46) ).
cnf(definition_3_30,axiom,
( ~ fragile_position(X40)
| ~ smaller_or_equal(age(X40,X39),sigma)
| positional_advantage(X40,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3_30) ).
cnf(symmetry,axiom,
( X28 != X27
| X27 = X28 ),
theory(equality) ).
cnf(lemma_10_43,negated_conjecture,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10_43) ).
cnf(c31,plain,
zero = age(sk3,sk4),
inference(resolution,[status(thm)],[lemma_10_43,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c3,axiom,
( X135 != X134
| X133 != X136
| ~ smaller_or_equal(X135,X133)
| smaller_or_equal(X134,X136) ),
theory(equality) ).
cnf(definition_smaller_or_equal_3,axiom,
( X8 != X7
| smaller_or_equal(X8,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(X22,X21)
| ~ greater(X21,X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
cnf(definition_smaller_or_equal_2,axiom,
( ~ smaller(X6,X5)
| smaller_or_equal(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( smaller(X33,X32)
| X33 = X32
| greater(X33,X32) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
cnf(c20,plain,
( X64 = X63
| greater(X64,X63)
| smaller_or_equal(X64,X63) ),
inference(resolution,[status(thm)],[meaning_postulate_greater_comparable_11,definition_smaller_or_equal_2]) ).
cnf(c108,plain,
( greater(X66,X67)
| smaller_or_equal(X66,X67) ),
inference(resolution,[status(thm)],[c20,definition_smaller_or_equal_3]) ).
cnf(c120,plain,
( smaller_or_equal(X73,X72)
| ~ greater(X72,X73) ),
inference(resolution,[status(thm)],[c108,meaning_postulate_greater_strict_9]) ).
cnf(lemma_10_44,negated_conjecture,
greater_or_equal(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10_44) ).
cnf(definition_greater_or_equal_4,axiom,
( ~ greater_or_equal(X13,X12)
| greater(X13,X12)
| X13 = X12 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
cnf(c13,plain,
( greater(sigma,zero)
| sigma = zero ),
inference(resolution,[status(thm)],[definition_greater_or_equal_4,lemma_10_44]) ).
cnf(c84,plain,
( greater(sigma,zero)
| zero = sigma ),
inference(resolution,[status(thm)],[c13,symmetry]) ).
cnf(c274,plain,
( zero = sigma
| smaller_or_equal(zero,sigma) ),
inference(resolution,[status(thm)],[c84,c120]) ).
cnf(c447,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[status(thm)],[c274,definition_smaller_or_equal_3]) ).
cnf(c452,plain,
( zero != X648
| sigma != X649
| smaller_or_equal(X648,X649) ),
inference(resolution,[status(thm)],[c447,c3]) ).
cnf(c1917,plain,
( zero != X650
| smaller_or_equal(X650,sigma) ),
inference(resolution,[status(thm)],[c452,reflexivity]) ).
cnf(c1925,plain,
smaller_or_equal(age(sk3,sk4),sigma),
inference(resolution,[status(thm)],[c1917,c31]) ).
cnf(c1936,plain,
( ~ fragile_position(sk3)
| positional_advantage(sk3,sk4) ),
inference(resolution,[status(thm)],[c1925,definition_3_30]) ).
cnf(c1942,plain,
positional_advantage(sk3,sk4),
inference(resolution,[status(thm)],[c1936,lemma_10_46]) ).
cnf(definition_4_36,axiom,
( ~ robust_position(X85)
| ~ smaller_or_equal(age(X85,X84),tau)
| ~ positional_advantage(X85,X84) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_36) ).
cnf(lemma_10_45,negated_conjecture,
greater_or_equal(tau,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10_45) ).
cnf(c14,plain,
( greater(tau,zero)
| tau = zero ),
inference(resolution,[status(thm)],[definition_greater_or_equal_4,lemma_10_45]) ).
cnf(c133,plain,
( smaller_or_equal(zero,tau)
| tau = zero ),
inference(resolution,[status(thm)],[c120,c14]) ).
cnf(c11,plain,
smaller_or_equal(X9,X9),
inference(resolution,[status(thm)],[definition_smaller_or_equal_3,reflexivity]) ).
cnf(c293,plain,
( X273 != X274
| X273 != X275
| smaller_or_equal(X274,X275) ),
inference(resolution,[status(thm)],[c3,c11]) ).
cnf(c461,plain,
( X279 != X280
| smaller_or_equal(X280,X279) ),
inference(resolution,[status(thm)],[c293,reflexivity]) ).
cnf(c482,plain,
smaller_or_equal(zero,tau),
inference(resolution,[status(thm)],[c461,c133]) ).
cnf(c491,plain,
( zero != X663
| tau != X664
| smaller_or_equal(X663,X664) ),
inference(resolution,[status(thm)],[c482,c3]) ).
cnf(c2031,plain,
( zero != X665
| smaller_or_equal(X665,tau) ),
inference(resolution,[status(thm)],[c491,reflexivity]) ).
cnf(c2039,plain,
smaller_or_equal(age(sk3,sk4),tau),
inference(resolution,[status(thm)],[c2031,c31]) ).
cnf(c2048,plain,
( ~ robust_position(sk3)
| ~ positional_advantage(sk3,sk4) ),
inference(resolution,[status(thm)],[c2039,definition_4_36]) ).
cnf(c2051,plain,
~ robust_position(sk3),
inference(resolution,[status(thm)],[c2048,c1942]) ).
cnf(c2052,plain,
$false,
inference(resolution,[status(thm)],[c2051,lemma_10_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT058-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n010.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 : Mon Sep 7 13:32:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.13/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.49 """
% 0.13/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.50 """
% 0.26/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.26/0.59 """
% 0.88/1.13 % Version: 1.5
% 0.88/1.13 % SZS status Unsatisfiable
% 0.88/1.13 % SZS output start CNFRefutation
% See solution above
% 0.88/1.13
% 0.88/1.13 % Initial clauses : 43
% 0.88/1.13 % Processed clauses : 216
% 0.88/1.13 % Factors computed : 30
% 0.88/1.13 % Resolvents computed: 2017
% 0.88/1.13 % Tautologies deleted: 20
% 0.88/1.13 % Forward subsumed : 362
% 0.88/1.13 % Backward subsumed : 10
% 0.88/1.13 % -------- CPU Time ---------
% 0.88/1.13 % User time : 0.743 s
% 0.88/1.13 % System time : 0.025 s
% 0.88/1.13 % Total time : 0.768 s
%------------------------------------------------------------------------------