%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:22:52 EDT 2024
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 21 ( 4 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_identity_equals_another_identity,negated_conjecture,
identity != another_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_equals_another_identity) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(total_function2,axiom,
( ~ product(X13,X12,X14)
| ~ product(X13,X12,X15)
| X14 = X15 ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(c9,plain,
( ~ product(identity,X32,X31)
| X31 = X32 ),
inference(resolution,[status(thm)],[total_function2,left_identity]) ).
cnf(another_right_identity,plain,
( ~ subgroup_member(X18)
| product(X18,another_identity,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_identity) ).
cnf(another_identity_in_subgroup,plain,
subgroup_member(another_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X43)
| ~ subgroup_member(X42)
| ~ product(X43,inverse(X42),X41)
| subgroup_member(X41) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c51,plain,
( ~ subgroup_member(X44)
| subgroup_member(identity) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,right_inverse]) ).
cnf(c53,plain,
subgroup_member(identity),
inference(resolution,[status(thm)],[c51,another_identity_in_subgroup]) ).
cnf(c57,plain,
product(identity,another_identity,identity),
inference(resolution,[status(thm)],[c53,another_right_identity]) ).
cnf(c73,plain,
identity = another_identity,
inference(resolution,[status(thm)],[c57,c9]) ).
cnf(c76,plain,
$false,
inference(resolution,[status(thm)],[c73,prove_identity_equals_another_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 04:04:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % Version: 1.5
% 0.20/0.54 % SZS status Unsatisfiable
% 0.20/0.54 % SZS output start CNFRefutation
% See solution above
% 0.20/0.54
% 0.20/0.54 % Initial clauses : 24
% 0.20/0.54 % Processed clauses : 33
% 0.20/0.54 % Factors computed : 5
% 0.20/0.54 % Resolvents computed: 74
% 0.20/0.54 % Tautologies deleted: 1
% 0.20/0.54 % Forward subsumed : 8
% 0.20/0.54 % Backward subsumed : 1
% 0.20/0.54 % -------- CPU Time ---------
% 0.20/0.54 % User time : 0.187 s
% 0.20/0.54 % System time : 0.009 s
% 0.20/0.54 % Total time : 0.196 s
%------------------------------------------------------------------------------