%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:38:16 EDT 2024
% Result : Unsatisfiable 19.52s 19.73s
% Output : Refutation 19.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 10 unt; 1 nHn; 14 RR)
% Number of literals : 28 ( 9 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_is_additive_identity,negated_conjecture,
b != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
cnf(symmetry,axiom,
( X15 != X16
| X16 = X15 ),
theory(equality) ).
cnf(left_multiplicative_identity,plain,
product(multiplicative_identity,X6,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_identity) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X119,X120,X121)
| ~ product(X119,X120,X118)
| X121 = X118 ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
cnf(c177,plain,
( ~ product(multiplicative_identity,X127,X128)
| X128 = X127 ),
inference(resolution,[status(thm)],[multiplication_is_well_defined,left_multiplicative_identity]) ).
cnf(a_not_additive_identity,negated_conjecture,
a != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
cnf(clause42,plain,
( product(h(X66),X66,multiplicative_identity)
| X66 = additive_identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(c67,plain,
product(h(a),a,multiplicative_identity),
inference(resolution,[status(thm)],[clause42,a_not_additive_identity]) ).
cnf(a_times_b,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
cnf(multiplicative_identity2,plain,
product(X10,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
cnf(associativity_of_multiplication2,axiom,
( ~ product(X65,X63,X62)
| ~ product(X63,X64,X61)
| ~ product(X65,X61,X60)
| product(X62,X64,X60) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication2) ).
cnf(c55,plain,
( ~ product(X459,X460,X461)
| ~ product(X460,X462,additive_identity)
| product(X461,X462,additive_identity) ),
inference(resolution,[status(thm)],[associativity_of_multiplication2,multiplicative_identity2]) ).
cnf(c1308,plain,
( ~ product(X3037,a,X3038)
| product(X3038,b,additive_identity) ),
inference(resolution,[status(thm)],[c55,a_times_b]) ).
cnf(c44824,plain,
product(multiplicative_identity,b,additive_identity),
inference(resolution,[status(thm)],[c1308,c67]) ).
cnf(c44957,plain,
additive_identity = b,
inference(resolution,[status(thm)],[c44824,c177]) ).
cnf(c44965,plain,
b = additive_identity,
inference(resolution,[status(thm)],[c44957,symmetry]) ).
cnf(c45387,plain,
$false,
inference(resolution,[status(thm)],[c44965,prove_b_is_additive_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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 : Wed May 8 21:10:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 19.52/19.73 % Version: 1.5
% 19.52/19.73 % SZS status Unsatisfiable
% 19.52/19.73 % SZS output start CNFRefutation
% See solution above
% 19.52/19.73
% 19.52/19.73 % Initial clauses : 35
% 19.52/19.73 % Processed clauses : 783
% 19.52/19.73 % Factors computed : 87
% 19.52/19.73 % Resolvents computed: 45374
% 19.52/19.73 % Tautologies deleted: 33
% 19.52/19.73 % Forward subsumed : 1645
% 19.52/19.73 % Backward subsumed : 9
% 19.52/19.73 % -------- CPU Time ---------
% 19.52/19.73 % User time : 19.276 s
% 19.52/19.73 % System time : 0.091 s
% 19.52/19.73 % Total time : 19.367 s
%------------------------------------------------------------------------------