%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:22:45 EDT 2024
% Result : Unsatisfiable 4.70s 4.89s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 13 unt; 0 nHn; 19 RR)
% Number of literals : 40 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_multiply_a_is_identity,negated_conjecture,
~ product(b,a,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_multiply_a_is_identity) ).
cnf(left_inverse,axiom,
product(inverse(X5),X5,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X40,X36,X37)
| ~ product(X36,X41,X38)
| ~ product(X40,X38,X39)
| product(X37,X41,X39) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c36,plain,
( ~ product(X174,X171,X173)
| ~ product(X171,X172,identity)
| product(X173,X172,X174) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c334,plain,
( ~ product(X315,inverse(X313),X314)
| product(X314,X313,X315) ),
inference(resolution,[status(thm)],[c36,left_inverse]) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c332,plain,
( ~ product(X284,identity,X283)
| product(X283,identity,X284) ),
inference(resolution,[status(thm)],[c36,left_identity]) ).
cnf(c35,plain,
( ~ product(identity,X160,X162)
| ~ product(X160,X161,X159)
| product(X162,X161,X159) ),
inference(resolution,[status(thm)],[associativity2,left_identity]) ).
cnf(c311,plain,
( ~ product(identity,X269,X268)
| product(X268,identity,X269) ),
inference(resolution,[status(thm)],[c35,right_identity]) ).
cnf(a_multiply_b_is_identity,plain,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_identity) ).
cnf(c337,plain,
( ~ product(X392,a,X391)
| product(X391,b,X392) ),
inference(resolution,[status(thm)],[c36,a_multiply_b_is_identity]) ).
cnf(c2002,plain,
product(identity,b,inverse(a)),
inference(resolution,[status(thm)],[c337,left_inverse]) ).
cnf(c2060,plain,
product(inverse(a),identity,b),
inference(resolution,[status(thm)],[c2002,c311]) ).
cnf(c2152,plain,
product(b,identity,inverse(a)),
inference(resolution,[status(thm)],[c2060,c332]) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(associativity1,axiom,
( ~ product(X32,X28,X29)
| ~ product(X28,X33,X30)
| ~ product(X29,X33,X31)
| product(X32,X30,X31) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(c23,plain,
( ~ product(X131,X129,X128)
| ~ product(X129,inverse(X128),X130)
| product(X131,X130,identity) ),
inference(resolution,[status(thm)],[associativity1,right_inverse]) ).
cnf(c217,plain,
( ~ product(X666,identity,X665)
| product(X666,inverse(X665),identity) ),
inference(resolution,[status(thm)],[c23,left_identity]) ).
cnf(c5045,plain,
product(b,inverse(inverse(a)),identity),
inference(resolution,[status(thm)],[c217,c2152]) ).
cnf(c13195,plain,
product(identity,inverse(a),b),
inference(resolution,[status(thm)],[c5045,c334]) ).
cnf(c13344,plain,
product(b,a,identity),
inference(resolution,[status(thm)],[c13195,c334]) ).
cnf(c13376,plain,
$false,
inference(resolution,[status(thm)],[c13344,prove_b_multiply_a_is_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 9 04:52:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 4.70/4.89 % Version: 1.5
% 4.70/4.89 % SZS status Unsatisfiable
% 4.70/4.89 % SZS output start CNFRefutation
% See solution above
% 4.70/4.89
% 4.70/4.89 % Initial clauses : 16
% 4.70/4.89 % Processed clauses : 454
% 4.70/4.89 % Factors computed : 31
% 4.70/4.89 % Resolvents computed: 13358
% 4.70/4.89 % Tautologies deleted: 19
% 4.70/4.89 % Forward subsumed : 819
% 4.70/4.89 % Backward subsumed : 11
% 4.70/4.89 % -------- CPU Time ---------
% 4.70/4.89 % User time : 4.495 s
% 4.70/4.89 % System time : 0.032 s
% 4.70/4.89 % Total time : 4.527 s
%------------------------------------------------------------------------------