%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP003-1 : TPTP v8.1.2. Released v1.0.0.
% 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 17:22:44 EDT 2024
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% 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_there_is_a_right_identity,negated_conjecture,
~ product(a,identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
cnf(left_inverse,axiom,
product(inverse(X3),X3,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(associativity1,axiom,
( ~ product(X4,X9,X5)
| ~ product(X9,X7,X8)
| ~ product(X5,X7,X6)
| product(X4,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
cnf(c2,plain,
( ~ product(X30,X31,identity)
| ~ product(X31,X28,X29)
| product(X30,X29,X28) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(c17,plain,
( ~ product(X43,inverse(X42),identity)
| product(X43,identity,X42) ),
inference(resolution,[status(thm)],[c2,left_inverse]) ).
cnf(c28,plain,
product(inverse(inverse(X44)),identity,X44),
inference(resolution,[status(thm)],[c17,left_inverse]) ).
cnf(associativity2,axiom,
( ~ product(X13,X18,X14)
| ~ product(X18,X16,X17)
| ~ product(X13,X17,X15)
| product(X14,X16,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
cnf(c6,plain,
( ~ product(X50,X48,X47)
| ~ product(X48,X49,X48)
| product(X47,X49,X47) ),
inference(factor,[status(thm)],[associativity2]) ).
cnf(c45,plain,
( ~ product(X53,identity,X52)
| product(X52,identity,X52) ),
inference(resolution,[status(thm)],[c6,left_identity]) ).
cnf(c50,plain,
product(X54,identity,X54),
inference(resolution,[status(thm)],[c45,c28]) ).
cnf(c54,plain,
$false,
inference(resolution,[status(thm)],[c50,prove_there_is_a_right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % 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 : Thu May 9 04:31:53 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.38/0.56 % Version: 1.5
% 0.38/0.56 % SZS status Unsatisfiable
% 0.38/0.56 % SZS output start CNFRefutation
% See solution above
% 0.38/0.56
% 0.38/0.56 % Initial clauses : 5
% 0.38/0.56 % Processed clauses : 18
% 0.38/0.56 % Factors computed : 9
% 0.38/0.56 % Resolvents computed: 51
% 0.38/0.56 % Tautologies deleted: 4
% 0.38/0.56 % Forward subsumed : 5
% 0.38/0.56 % Backward subsumed : 2
% 0.38/0.56 % -------- CPU Time ---------
% 0.38/0.56 % User time : 0.178 s
% 0.38/0.56 % System time : 0.015 s
% 0.38/0.56 % Total time : 0.193 s
%------------------------------------------------------------------------------