%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP035-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 76.90s 77.08s
% Output : Refutation 76.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 13 unt; 0 nHn; 19 RR)
% Number of literals : 38 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c_is_in_subgroup,negated_conjecture,
~ subgroup_member(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
cnf(a_is_in_subgroup,plain,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(b_is_in_subgroup,plain,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_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(X44)
| ~ product(X43,inverse(X44),X45)
| subgroup_member(X45) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c47,plain,
( ~ subgroup_member(X46)
| subgroup_member(identity) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,right_inverse]) ).
cnf(c49,plain,
subgroup_member(identity),
inference(resolution,[status(thm)],[c47,b_is_in_subgroup]) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c46,plain,
( ~ subgroup_member(identity)
| ~ subgroup_member(X108)
| subgroup_member(inverse(X108)) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,left_identity]) ).
cnf(c184,plain,
( ~ subgroup_member(identity)
| subgroup_member(inverse(b)) ),
inference(resolution,[status(thm)],[c46,b_is_in_subgroup]) ).
cnf(c196,plain,
subgroup_member(inverse(b)),
inference(resolution,[status(thm)],[c184,c49]) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X34,X37,X33)
| ~ product(X37,X32,X35)
| ~ product(X34,X35,X36)
| product(X33,X32,X36) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c35,plain,
( ~ product(X174,X172,X173)
| ~ product(X172,X175,identity)
| product(X173,X175,X174) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c370,plain,
( ~ product(X396,X395,X394)
| product(X394,inverse(X395),X396) ),
inference(resolution,[status(thm)],[c35,right_inverse]) ).
cnf(a_times_b_is_c,plain,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c2108,plain,
product(c,inverse(b),a),
inference(resolution,[status(thm)],[c370,a_times_b_is_c]) ).
cnf(c2216,plain,
product(a,inverse(inverse(b)),c),
inference(resolution,[status(thm)],[c2108,c370]) ).
cnf(c5483,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(inverse(b))
| subgroup_member(c) ),
inference(resolution,[status(thm)],[c2216,closure_of_product_and_inverse]) ).
cnf(c88153,plain,
( ~ subgroup_member(a)
| subgroup_member(c) ),
inference(resolution,[status(thm)],[c5483,c196]) ).
cnf(c88154,plain,
subgroup_member(c),
inference(resolution,[status(thm)],[c88153,a_is_in_subgroup]) ).
cnf(c88178,plain,
$false,
inference(resolution,[status(thm)],[c88154,prove_c_is_in_subgroup]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 04:24:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 76.90/77.08 % Version: 1.5
% 76.90/77.08 % SZS status Unsatisfiable
% 76.90/77.08 % SZS output start CNFRefutation
% See solution above
% 76.90/77.08
% 76.90/77.08 % Initial clauses : 20
% 76.90/77.08 % Processed clauses : 1553
% 76.90/77.08 % Factors computed : 92
% 76.90/77.08 % Resolvents computed: 88181
% 76.90/77.08 % Tautologies deleted: 34
% 76.90/77.08 % Forward subsumed : 3945
% 76.90/77.08 % Backward subsumed : 82
% 76.90/77.08 % -------- CPU Time ---------
% 76.90/77.08 % User time : 76.530 s
% 76.90/77.08 % System time : 0.196 s
% 76.90/77.08 % Total time : 76.726 s
%------------------------------------------------------------------------------