%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP001-5 : 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 17:22:43 EDT 2024
% Result : Unsatisfiable 0.41s 0.62s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 27 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_b_times_a_is_c,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(square_element,plain,
product(X4,X4,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_element) ).
cnf(right_identity,axiom,
product(X3,identity,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X19,X20,X21)
| ~ product(X20,X23,X22)
| ~ product(X19,X22,X24)
| product(X21,X23,X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
cnf(c14,plain,
( ~ product(X115,X116,X113)
| ~ product(X116,X114,identity)
| product(X113,X114,X115) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c79,plain,
( ~ product(X118,X119,X117)
| product(X117,X119,X118) ),
inference(resolution,[status(thm)],[c14,square_element]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(associativity1,axiom,
( ~ product(X5,X6,X7)
| ~ product(X6,X9,X8)
| ~ product(X7,X9,X10)
| product(X5,X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
cnf(c2,plain,
( ~ product(X38,X37,identity)
| ~ product(X37,X35,X36)
| product(X38,X36,X35) ),
inference(resolution,[status(thm)],[associativity1,left_identity]) ).
cnf(a_times_b_is_c,plain,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c81,plain,
product(c,b,a),
inference(resolution,[status(thm)],[c79,a_times_b_is_c]) ).
cnf(c90,plain,
( ~ product(X154,c,identity)
| product(X154,a,b) ),
inference(resolution,[status(thm)],[c81,c2]) ).
cnf(c128,plain,
product(c,a,b),
inference(resolution,[status(thm)],[c90,square_element]) ).
cnf(c144,plain,
product(b,a,c),
inference(resolution,[status(thm)],[c128,c79]) ).
cnf(c147,plain,
$false,
inference(resolution,[status(thm)],[c144,prove_b_times_a_is_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.16/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 9 03:49:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.41/0.62 % Version: 1.5
% 0.41/0.62 % SZS status Unsatisfiable
% 0.41/0.62 % SZS output start CNFRefutation
% See solution above
% 0.41/0.62
% 0.41/0.62 % Initial clauses : 7
% 0.41/0.62 % Processed clauses : 47
% 0.41/0.62 % Factors computed : 17
% 0.41/0.62 % Resolvents computed: 137
% 0.41/0.62 % Tautologies deleted: 12
% 0.41/0.62 % Forward subsumed : 59
% 0.41/0.62 % Backward subsumed : 3
% 0.41/0.62 % -------- CPU Time ---------
% 0.41/0.62 % User time : 0.234 s
% 0.41/0.62 % System time : 0.017 s
% 0.41/0.62 % Total time : 0.251 s
%------------------------------------------------------------------------------