%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:22:44 EDT 2024
% Result : Unsatisfiable 0.79s 0.97s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 33 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_right_inverse,negated_conjecture,
~ product(a,inverse(a),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_inverse) ).
cnf(total_function1,axiom,
product(X4,X5,multiply(X4,X5)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',total_function1) ).
cnf(product_substitution3,axiom,
( ~ equalish(X39,X40)
| ~ product(X38,X41,X39)
| product(X38,X41,X40) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c22,plain,
( ~ equalish(multiply(X53,X52),X54)
| product(X53,X52,X54) ),
inference(resolution,[status(thm)],[product_substitution3,total_function1]) ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
cnf(total_function2,axiom,
( ~ product(X7,X8,X9)
| ~ product(X7,X8,X6)
| equalish(X9,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(c2,plain,
( ~ product(inverse(X48),X48,X49)
| equalish(X49,identity) ),
inference(resolution,[status(thm)],[total_function2,left_inverse]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(associativity1,axiom,
( ~ product(X12,X14,X13)
| ~ product(X14,X10,X15)
| ~ product(X13,X10,X11)
| product(X12,X15,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c6,plain,
( ~ product(X77,X76,X79)
| ~ product(X76,X75,X78)
| product(X77,X78,multiply(X79,X75)) ),
inference(resolution,[status(thm)],[associativity1,total_function1]) ).
cnf(c73,plain,
( ~ product(X253,identity,X251)
| product(X253,X252,multiply(X251,X252)) ),
inference(resolution,[status(thm)],[c6,left_identity]) ).
cnf(c8,plain,
( ~ product(X99,X97,identity)
| ~ product(X97,X96,X98)
| product(X99,X98,X96) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(c125,plain,
( ~ product(X298,inverse(X297),identity)
| product(X298,identity,X297) ),
inference(resolution,[status(thm)],[c8,left_inverse]) ).
cnf(c892,plain,
product(inverse(inverse(X299)),identity,X299),
inference(resolution,[status(thm)],[c125,left_inverse]) ).
cnf(c901,plain,
product(inverse(inverse(X423)),X422,multiply(X423,X422)),
inference(resolution,[status(thm)],[c892,c73]) ).
cnf(c1696,plain,
equalish(multiply(X424,inverse(X424)),identity),
inference(resolution,[status(thm)],[c901,c2]) ).
cnf(c1711,plain,
product(X425,inverse(X425),identity),
inference(resolution,[status(thm)],[c1696,c22]) ).
cnf(c1729,plain,
$false,
inference(resolution,[status(thm)],[c1711,prove_right_inverse]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 9 03:35:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.79/0.97 % Version: 1.5
% 0.79/0.97 % SZS status Unsatisfiable
% 0.79/0.97 % SZS output start CNFRefutation
% See solution above
% 0.79/0.97
% 0.79/0.97 % Initial clauses : 8
% 0.79/0.97 % Processed clauses : 146
% 0.79/0.97 % Factors computed : 26
% 0.79/0.97 % Resolvents computed: 1716
% 0.79/0.97 % Tautologies deleted: 10
% 0.79/0.97 % Forward subsumed : 190
% 0.79/0.97 % Backward subsumed : 13
% 0.79/0.97 % -------- CPU Time ---------
% 0.79/0.97 % User time : 0.653 s
% 0.79/0.97 % System time : 0.010 s
% 0.79/0.97 % Total time : 0.663 s
%------------------------------------------------------------------------------