%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 0.70s 0.87s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_right_identity,negated_conjecture,
~ product(a,identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_identity) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(associativity2,axiom,
( ~ product(X23,X24,X28)
| ~ product(X24,X27,X26)
| ~ product(X23,X26,X25)
| product(X28,X27,X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c14,plain,
( ~ product(X106,X108,X107)
| ~ product(X108,X105,X108)
| product(X107,X105,X107) ),
inference(factor,[status(thm)],[associativity2]) ).
cnf(c138,plain,
( ~ product(X139,identity,X138)
| product(X138,identity,X138) ),
inference(resolution,[status(thm)],[c14,left_identity]) ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
cnf(associativity1,axiom,
( ~ product(X10,X11,X15)
| ~ product(X11,X14,X13)
| ~ product(X15,X14,X12)
| product(X10,X13,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c8,plain,
( ~ product(X96,X98,identity)
| ~ product(X98,X97,X99)
| product(X96,X99,X97) ),
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(c891,plain,
product(inverse(inverse(X299)),identity,X299),
inference(resolution,[status(thm)],[c125,left_inverse]) ).
cnf(c914,plain,
product(X300,identity,X300),
inference(resolution,[status(thm)],[c891,c138]) ).
cnf(c938,plain,
$false,
inference(resolution,[status(thm)],[c914,prove_right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.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 04:47:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.70/0.87 % Version: 1.5
% 0.70/0.87 % SZS status Unsatisfiable
% 0.70/0.87 % SZS output start CNFRefutation
% See solution above
% 0.70/0.87
% 0.70/0.87 % Initial clauses : 8
% 0.70/0.87 % Processed clauses : 110
% 0.70/0.87 % Factors computed : 21
% 0.70/0.87 % Resolvents computed: 964
% 0.70/0.87 % Tautologies deleted: 7
% 0.70/0.87 % Forward subsumed : 123
% 0.70/0.87 % Backward subsumed : 5
% 0.70/0.87 % -------- CPU Time ---------
% 0.70/0.87 % User time : 0.513 s
% 0.70/0.87 % System time : 0.015 s
% 0.70/0.87 % Total time : 0.528 s
%------------------------------------------------------------------------------