%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP022-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 17:22:48 EDT 2024
% Result : Unsatisfiable 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 21 ( 4 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse_of_inverse_is_original,negated_conjecture,
inverse(inverse(a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_inverse_is_original) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(total_function2,axiom,
( ~ product(X17,X19,X18)
| ~ product(X17,X19,X16)
| X18 = X16 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(c11,plain,
( ~ product(identity,X44,X43)
| X43 = X44 ),
inference(resolution,[status(thm)],[total_function2,left_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(X41,X37,X40)
| ~ product(X37,X36,X38)
| ~ product(X41,X38,X39)
| product(X40,X36,X39) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c33,plain,
( ~ product(X156,X153,X155)
| ~ product(X153,X154,identity)
| product(X155,X154,X156) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c255,plain,
( ~ product(X274,inverse(X275),X276)
| product(X276,X275,X274) ),
inference(resolution,[status(thm)],[c33,left_inverse]) ).
cnf(c945,plain,
product(identity,X283,inverse(inverse(X283))),
inference(resolution,[status(thm)],[c255,left_inverse]) ).
cnf(c999,plain,
inverse(inverse(X284)) = X284,
inference(resolution,[status(thm)],[c945,c11]) ).
cnf(c1030,plain,
$false,
inference(resolution,[status(thm)],[c999,prove_inverse_of_inverse_is_original]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP022-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 04:15:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.61/0.77 % Version: 1.5
% 0.61/0.77 % SZS status Unsatisfiable
% 0.61/0.77 % SZS output start CNFRefutation
% See solution above
% 0.61/0.77
% 0.61/0.77 % Initial clauses : 15
% 0.61/0.77 % Processed clauses : 103
% 0.61/0.77 % Factors computed : 23
% 0.61/0.77 % Resolvents computed: 1012
% 0.61/0.77 % Tautologies deleted: 12
% 0.61/0.77 % Forward subsumed : 111
% 0.61/0.77 % Backward subsumed : 1
% 0.61/0.77 % -------- CPU Time ---------
% 0.61/0.77 % User time : 0.426 s
% 0.61/0.77 % System time : 0.010 s
% 0.61/0.77 % Total time : 0.436 s
%------------------------------------------------------------------------------