TSTP Solution File: GRP013-1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP013-1 : 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 17:22:46 EDT 2024
% Result : Unsatisfiable 3.56s 3.75s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 21 RR)
% Number of literals : 43 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c_times_d_is_identity,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_times_d_is_identity) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(squareness,plain,
product(X5,X5,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
cnf(associativity1,axiom,
( ~ product(X27,X24,X23)
| ~ product(X24,X25,X28)
| ~ product(X23,X25,X26)
| product(X27,X28,X26) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(c25,plain,
( ~ product(X177,X176,X178)
| ~ product(X176,X178,X179)
| product(X177,X179,identity) ),
inference(resolution,[status(thm)],[associativity1,squareness]) ).
cnf(c371,plain,
( ~ product(X1155,identity,X1154)
| product(X1155,X1154,identity) ),
inference(resolution,[status(thm)],[c25,left_identity]) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X36,X33,X32)
| ~ product(X33,X34,X37)
| ~ product(X36,X37,X35)
| product(X32,X34,X35) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c37,plain,
( ~ product(X249,X248,X251)
| ~ product(X248,X250,identity)
| product(X251,X250,X249) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c563,plain,
( ~ product(X256,X255,X257)
| product(X257,X255,X256) ),
inference(resolution,[status(thm)],[c37,squareness]) ).
cnf(a_times_b_is_c,plain,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c22,plain,
( ~ product(X151,X150,a)
| ~ product(X150,b,X152)
| product(X151,X152,c) ),
inference(resolution,[status(thm)],[associativity1,a_times_b_is_c]) ).
cnf(c316,plain,
( ~ product(X1200,b,a)
| product(X1200,identity,c) ),
inference(resolution,[status(thm)],[c22,squareness]) ).
cnf(inverse_a_times_inverse_b_is_d,plain,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_a_times_inverse_b_is_d) ).
cnf(inverses_have_property,plain,
( ~ product(inverse(X48),inverse(X46),X47)
| product(X48,X47,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverses_have_property) ).
cnf(c55,plain,
product(a,d,b),
inference(resolution,[status(thm)],[inverses_have_property,inverse_a_times_inverse_b_is_d]) ).
cnf(c23,plain,
( ~ product(X159,X158,identity)
| ~ product(X158,X160,X161)
| product(X159,X161,X160) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(c350,plain,
( ~ product(X1309,a,identity)
| product(X1309,b,d) ),
inference(resolution,[status(thm)],[c23,c55]) ).
cnf(c10008,plain,
product(a,b,d),
inference(resolution,[status(thm)],[c350,squareness]) ).
cnf(c10015,plain,
product(d,b,a),
inference(resolution,[status(thm)],[c10008,c563]) ).
cnf(c10133,plain,
product(d,identity,c),
inference(resolution,[status(thm)],[c10015,c316]) ).
cnf(c10294,plain,
product(c,identity,d),
inference(resolution,[status(thm)],[c10133,c563]) ).
cnf(c10612,plain,
product(c,d,identity),
inference(resolution,[status(thm)],[c10294,c371]) ).
cnf(c10639,plain,
$false,
inference(resolution,[status(thm)],[c10612,prove_c_times_d_is_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 9 03:46:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 3.56/3.75 % Version: 1.5
% 3.56/3.75 % SZS status Unsatisfiable
% 3.56/3.75 % SZS output start CNFRefutation
% See solution above
% 3.56/3.75
% 3.56/3.75 % Initial clauses : 19
% 3.56/3.75 % Processed clauses : 372
% 3.56/3.75 % Factors computed : 39
% 3.56/3.75 % Resolvents computed: 10622
% 3.56/3.75 % Tautologies deleted: 14
% 3.56/3.75 % Forward subsumed : 812
% 3.56/3.75 % Backward subsumed : 7
% 3.56/3.75 % -------- CPU Time ---------
% 3.56/3.75 % User time : 3.367 s
% 3.56/3.75 % System time : 0.023 s
% 3.56/3.75 % Total time : 3.390 s
%------------------------------------------------------------------------------