%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:28:13 EDT 2024
% Result : Theorem 27.64s 27.80s
% Output : Refutation 27.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 20 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 6 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X0] : domain(multiplication(X0,domain(zero))) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(c4,negated_conjecture,
~ ! [X0] : domain(multiplication(X0,domain(zero))) = zero,
inference(assume_negation,[status(cth)],[goals]) ).
fof(c5,negated_conjecture,
? [X0] : domain(multiplication(X0,domain(zero))) != zero,
inference(fof_nnf,[status(thm)],[c4]) ).
fof(c6,negated_conjecture,
? [X2] : domain(multiplication(X2,domain(zero))) != zero,
inference(variable_rename,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
domain(multiplication(skolem0001,domain(zero))) != zero,
inference(skolemize,[status(esa)],[c6]) ).
cnf(c8,negated_conjecture,
domain(multiplication(skolem0001,domain(zero))) != zero,
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(symmetry,axiom,
( X36 != X35
| X35 = X36 ),
theory(equality) ).
cnf(transitivity,axiom,
( X41 != X39
| X39 != X40
| X41 = X40 ),
theory(equality) ).
fof(domain4,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
cnf(c11,plain,
domain(zero) = zero,
inference(split_conjunct,[status(thm)],[domain4]) ).
cnf(c54,plain,
( X138 != domain(zero)
| X138 = zero ),
inference(resolution,[status(thm)],[c11,transitivity]) ).
cnf(c2,axiom,
( X64 != X63
| domain(X64) = domain(X63) ),
theory(equality) ).
fof(right_annihilation,axiom,
! [A] : multiplication(A,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(c26,plain,
! [X14] : multiplication(X14,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c27,plain,
multiplication(X67,zero) = zero,
inference(split_conjunct,[status(thm)],[c26]) ).
cnf(c113,plain,
domain(multiplication(X368,zero)) = domain(zero),
inference(resolution,[status(thm)],[c27,c2]) ).
cnf(c2976,plain,
domain(multiplication(X397,zero)) = zero,
inference(resolution,[status(thm)],[c113,c54]) ).
cnf(c3449,plain,
zero = domain(multiplication(X419,zero)),
inference(resolution,[status(thm)],[c2976,symmetry]) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
fof(c14,plain,
! [X6,X7] : domain(multiplication(X6,X7)) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c15,plain,
domain(multiplication(X96,X97)) = domain(multiplication(X96,domain(X97))),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c174,plain,
( X603 != domain(multiplication(X604,X605))
| X603 = domain(multiplication(X604,domain(X605))) ),
inference(resolution,[status(thm)],[c15,transitivity]) ).
cnf(c7555,plain,
zero = domain(multiplication(X2102,domain(zero))),
inference(resolution,[status(thm)],[c174,c3449]) ).
cnf(c43401,plain,
domain(multiplication(X2552,domain(zero))) = zero,
inference(resolution,[status(thm)],[c7555,symmetry]) ).
cnf(c53297,plain,
$false,
inference(resolution,[status(thm)],[c43401,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 06:52:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 27.64/27.80 % Version: 1.5
% 27.64/27.80 % SZS status Theorem
% 27.64/27.80 % SZS output start CNFRefutation
% See solution above
% 27.64/27.80
% 27.64/27.80 % Initial clauses : 26
% 27.64/27.80 % Processed clauses : 825
% 27.64/27.80 % Factors computed : 5
% 27.64/27.80 % Resolvents computed: 53430
% 27.64/27.80 % Tautologies deleted: 2
% 27.64/27.80 % Forward subsumed : 1441
% 27.64/27.80 % Backward subsumed : 36
% 27.64/27.80 % -------- CPU Time ---------
% 27.64/27.80 % User time : 27.319 s
% 27.64/27.80 % System time : 0.131 s
% 27.64/27.80 % Total time : 27.450 s
%------------------------------------------------------------------------------