%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : FLD039-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:20:20 EDT 2024
% Result : Unsatisfiable 53.69s 53.93s
% Output : Refutation 53.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).
cnf(sum_3,negated_conjecture,
sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X15,X15)
| ~ defined(X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c18,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[existence_of_identity_addition,well_definedness_of_multiplicative_identity]) ).
cnf(commutativity_addition,axiom,
( sum(X20,X18,X19)
| ~ sum(X18,X20,X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c49,plain,
sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(resolution,[status(thm)],[commutativity_addition,c18]) ).
cnf(associativity_addition_2,axiom,
( sum(X12,X11,X9)
| ~ sum(X10,X14,X12)
| ~ sum(X14,X11,X13)
| ~ sum(X10,X13,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
cnf(c35,plain,
( sum(X127,X128,multiplicative_identity)
| ~ sum(additive_identity,X129,X127)
| ~ sum(X129,X128,multiplicative_identity) ),
inference(resolution,[status(thm)],[c18,associativity_addition_2]) ).
cnf(c3191,plain,
( sum(X494,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,multiplicative_identity,X494) ),
inference(resolution,[status(thm)],[c35,c49]) ).
cnf(c144177,plain,
sum(additive_identity,additive_identity,multiplicative_identity),
inference(resolution,[status(thm)],[c3191,sum_3]) ).
cnf(c144189,plain,
$false,
inference(resolution,[status(thm)],[c144177,different_identities]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD039-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 23:40:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 53.69/53.93 % Version: 1.5
% 53.69/53.93 % SZS status Unsatisfiable
% 53.69/53.93 % SZS output start CNFRefutation
% See solution above
% 53.69/53.93
% 53.69/53.93 % Initial clauses : 29
% 53.69/53.93 % Processed clauses : 1506
% 53.69/53.93 % Factors computed : 72
% 53.69/53.93 % Resolvents computed: 144129
% 53.69/53.93 % Tautologies deleted: 52
% 53.69/53.93 % Forward subsumed : 268
% 53.69/53.93 % Backward subsumed : 12
% 53.69/53.93 % -------- CPU Time ---------
% 53.69/53.93 % User time : 53.326 s
% 53.69/53.93 % System time : 0.219 s
% 53.69/53.93 % Total time : 53.545 s
%------------------------------------------------------------------------------