%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:22:45 EDT 2024
% Result : Unsatisfiable 1.38s 1.59s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 19 RR)
% Number of literals : 35 ( 15 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_equals_c,negated_conjecture,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
cnf(symmetry,axiom,
( X10 != X9
| X9 = X10 ),
theory(equality) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(total_function2,axiom,
( ~ product(X15,X13,X14)
| ~ product(X15,X13,X12)
| X14 = X12 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(c10,plain,
( ~ product(identity,X37,X38)
| X38 = X37 ),
inference(resolution,[status(thm)],[total_function2,left_identity]) ).
cnf(c_is_an_inverse_of_b,plain,
product(c,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_an_inverse_of_b) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X34,X36,X33)
| ~ product(X36,X32,X35)
| ~ product(X34,X35,X31)
| product(X33,X32,X31) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c31,plain,
( ~ product(X164,X165,X163)
| ~ product(X165,X166,identity)
| product(X163,X166,X164) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c326,plain,
( ~ product(X284,X285,X283)
| product(X283,inverse(X285),X284) ),
inference(resolution,[status(thm)],[c31,right_inverse]) ).
cnf(c1007,plain,
product(identity,inverse(b),c),
inference(resolution,[status(thm)],[c326,c_is_an_inverse_of_b]) ).
cnf(c1285,plain,
c = inverse(b),
inference(resolution,[status(thm)],[c1007,c10]) ).
cnf(transitivity,axiom,
( X43 != X41
| X41 != X42
| X43 = X42 ),
theory(equality) ).
cnf(a_is_an_inverse_of_b,plain,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_an_inverse_of_b) ).
cnf(c999,plain,
product(identity,inverse(b),a),
inference(resolution,[status(thm)],[c326,a_is_an_inverse_of_b]) ).
cnf(c1158,plain,
a = inverse(b),
inference(resolution,[status(thm)],[c999,c10]) ).
cnf(c1176,plain,
inverse(b) = a,
inference(resolution,[status(thm)],[c1158,symmetry]) ).
cnf(c1212,plain,
( X519 != inverse(b)
| X519 = a ),
inference(resolution,[status(thm)],[c1176,transitivity]) ).
cnf(c3973,plain,
c = a,
inference(resolution,[status(thm)],[c1212,c1285]) ).
cnf(c4033,plain,
a = c,
inference(resolution,[status(thm)],[c3973,symmetry]) ).
cnf(c4065,plain,
$false,
inference(resolution,[status(thm)],[c4033,prove_a_equals_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 04:14:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.38/1.59 % Version: 1.5
% 1.38/1.59 % SZS status Unsatisfiable
% 1.38/1.59 % SZS output start CNFRefutation
% See solution above
% 1.38/1.59
% 1.38/1.59 % Initial clauses : 17
% 1.38/1.59 % Processed clauses : 239
% 1.38/1.59 % Factors computed : 29
% 1.38/1.59 % Resolvents computed: 4042
% 1.38/1.59 % Tautologies deleted: 17
% 1.38/1.59 % Forward subsumed : 316
% 1.38/1.59 % Backward subsumed : 2
% 1.38/1.59 % -------- CPU Time ---------
% 1.38/1.59 % User time : 1.208 s
% 1.38/1.59 % System time : 0.018 s
% 1.38/1.59 % Total time : 1.226 s
%------------------------------------------------------------------------------