%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 17:22:51 EDT 2024
% Result : Unsatisfiable 1.66s 1.88s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 30 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_has_a_left_inverse,negated_conjecture,
~ product(X3,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_a_left_inverse) ).
cnf(right_identity,plain,
product(X2,identity,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(right_inverse,plain,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(associativity1,axiom,
( ~ product(X12,X11,X13)
| ~ product(X11,X14,X16)
| ~ product(X13,X14,X15)
| product(X12,X16,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
cnf(c6,plain,
( ~ product(X57,X60,X59)
| ~ product(X60,inverse(X59),X58)
| product(X57,X58,identity) ),
inference(resolution,[status(thm)],[associativity1,right_inverse]) ).
cnf(associativity2,axiom,
( ~ product(X25,X24,X26)
| ~ product(X24,X27,X29)
| ~ product(X25,X29,X28)
| product(X26,X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
cnf(c17,plain,
( ~ product(X119,X122,X120)
| ~ product(X122,X121,identity)
| product(X120,X121,X119) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c129,plain,
( ~ product(X137,X139,X138)
| product(X138,inverse(X139),X137) ),
inference(resolution,[status(thm)],[c17,right_inverse]) ).
cnf(c182,plain,
product(identity,inverse(inverse(X144)),X144),
inference(resolution,[status(thm)],[c129,right_inverse]) ).
cnf(c215,plain,
( ~ product(X659,identity,inverse(X658))
| product(X659,X658,identity) ),
inference(resolution,[status(thm)],[c182,c6]) ).
cnf(c4089,plain,
product(inverse(X660),X660,identity),
inference(resolution,[status(thm)],[c215,right_identity]) ).
cnf(c4138,plain,
$false,
inference(resolution,[status(thm)],[c4089,prove_a_has_a_left_inverse]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n008.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 04:57:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.66/1.88 % Version: 1.5
% 1.66/1.88 % SZS status Unsatisfiable
% 1.66/1.88 % SZS output start CNFRefutation
% See solution above
% 1.66/1.88
% 1.66/1.88 % Initial clauses : 7
% 1.66/1.88 % Processed clauses : 230
% 1.66/1.88 % Factors computed : 27
% 1.66/1.88 % Resolvents computed: 4126
% 1.66/1.88 % Tautologies deleted: 24
% 1.66/1.88 % Forward subsumed : 337
% 1.66/1.88 % Backward subsumed : 15
% 1.66/1.88 % -------- CPU Time ---------
% 1.66/1.88 % User time : 1.499 s
% 1.66/1.88 % System time : 0.017 s
% 1.66/1.88 % Total time : 1.516 s
%------------------------------------------------------------------------------