%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KLE075+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 201.79s 201.95s
% Output : Refutation 201.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 17 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 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 : 27 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X0] : domain(multiplication(one,domain(X0))) = domain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(c4,negated_conjecture,
~ ! [X0] : domain(multiplication(one,domain(X0))) = domain(X0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c5,negated_conjecture,
? [X0] : domain(multiplication(one,domain(X0))) != domain(X0),
inference(fof_nnf,[status(thm)],[c4]) ).
fof(c6,negated_conjecture,
? [X2] : domain(multiplication(one,domain(X2))) != domain(X2),
inference(variable_rename,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
domain(multiplication(one,domain(skolem0001))) != domain(skolem0001),
inference(skolemize,[status(esa)],[c6]) ).
cnf(c8,negated_conjecture,
domain(multiplication(one,domain(skolem0001))) != domain(skolem0001),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(symmetry,axiom,
( X36 != X35
| X35 = X36 ),
theory(equality) ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(c32,plain,
! [X21] : multiplication(one,X21) = X21,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c33,plain,
multiplication(one,X43) = X43,
inference(split_conjunct,[status(thm)],[c32]) ).
cnf(c55,plain,
X53 = multiplication(one,X53),
inference(resolution,[status(thm)],[c33,symmetry]) ).
cnf(c2,axiom,
( X64 != X63
| domain(X64) = domain(X63) ),
theory(equality) ).
cnf(c103,plain,
domain(X246) = domain(multiplication(one,X246)),
inference(resolution,[status(thm)],[c2,c55]) ).
cnf(transitivity,axiom,
( X41 != X39
| X39 != X40
| X41 = X40 ),
theory(equality) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/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(X95,X94)) = domain(multiplication(X95,domain(X94))),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c156,plain,
( X550 != domain(multiplication(X548,X549))
| X550 = domain(multiplication(X548,domain(X549))) ),
inference(resolution,[status(thm)],[c15,transitivity]) ).
cnf(c5821,plain,
domain(X4257) = domain(multiplication(one,domain(X4257))),
inference(resolution,[status(thm)],[c156,c103]) ).
cnf(c112331,plain,
domain(multiplication(one,domain(X6296))) = domain(X6296),
inference(resolution,[status(thm)],[c5821,symmetry]) ).
cnf(c186832,plain,
$false,
inference(resolution,[status(thm)],[c112331,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE075+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 06:53:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 201.79/201.95 % Version: 1.5
% 201.79/201.95 % SZS status Theorem
% 201.79/201.95 % SZS output start CNFRefutation
% See solution above
% 201.79/201.96
% 201.79/201.96 % Initial clauses : 26
% 201.79/201.96 % Processed clauses : 1907
% 201.79/201.96 % Factors computed : 5
% 201.79/201.96 % Resolvents computed: 186916
% 201.79/201.96 % Tautologies deleted: 2
% 201.79/201.96 % Forward subsumed : 3848
% 201.79/201.96 % Backward subsumed : 102
% 201.79/201.96 % -------- CPU Time ---------
% 201.79/201.96 % User time : 201.213 s
% 201.79/201.96 % System time : 0.390 s
% 201.79/201.96 % Total time : 201.603 s
%------------------------------------------------------------------------------