%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:23:02 EDT 2024
% Result : Unsatisfiable 0.48s 0.66s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 31 ( 13 unt; 10 nHn; 30 RR)
% Number of literals : 66 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_left_cancellation,axiom,
( ~ product(X33,X30,X32)
| ~ product(X31,X30,X32)
| equalish(X33,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c13,plain,
( ~ product(X43,X44,X44)
| equalish(X43,X44) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(qg1_1,negated_conjecture,
( ~ product(X38,X37,X40)
| ~ product(X41,X42,X40)
| ~ product(X39,X37,X38)
| ~ product(X39,X42,X41)
| equalish(X38,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
cnf(c17,plain,
( ~ product(X76,X74,X75)
| ~ product(X77,X77,X75)
| ~ product(X77,X74,X76)
| equalish(X76,X77) ),
inference(resolution,[status(thm)],[qg1_1,product_idempotence]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(product_right_cancellation,axiom,
( ~ product(X22,X23,X20)
| ~ product(X22,X21,X20)
| equalish(X23,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c10,plain,
( ~ product(X28,X27,X28)
| equalish(X27,X28) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(product_total_function1,axiom,
( ~ group_element(X8)
| ~ group_element(X7)
| product(X8,X7,e_1)
| product(X8,X7,e_2)
| product(X8,X7,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c2,plain,
( ~ group_element(X92)
| product(X92,e_3,e_1)
| product(X92,e_3,e_2)
| product(X92,e_3,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_3]) ).
cnf(c36,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c2,element_1]) ).
cnf(c47,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c36,c10]) ).
cnf(c95,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c47,e_3_is_not_e_1]) ).
cnf(c108,plain,
( product(e_1,e_3,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c95,c13]) ).
cnf(c124,plain,
product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c108,e_1_is_not_e_3]) ).
cnf(c158,plain,
( ~ product(e_2,e_3,X125)
| ~ product(e_1,e_1,X125)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c124,c17]) ).
cnf(c233,plain,
( ~ product(e_2,e_3,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c158,product_idempotence]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c37,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c134,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c37,c10]) ).
cnf(c317,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[c134,e_3_is_not_e_2]) ).
cnf(c326,plain,
( product(e_2,e_3,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c317,c233]) ).
cnf(c349,plain,
product(e_2,e_3,e_3),
inference(resolution,[status(thm)],[c326,e_2_is_not_e_1]) ).
cnf(c354,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c349,c13]) ).
cnf(c360,plain,
$false,
inference(resolution,[status(thm)],[c354,e_2_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n007.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 03:34:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.48/0.66 % Version: 1.5
% 0.48/0.66 % SZS status Unsatisfiable
% 0.48/0.66 % SZS output start CNFRefutation
% See solution above
% 0.48/0.66
% 0.48/0.66 % Initial clauses : 22
% 0.48/0.66 % Processed clauses : 59
% 0.48/0.66 % Factors computed : 18
% 0.48/0.66 % Resolvents computed: 343
% 0.48/0.66 % Tautologies deleted: 0
% 0.48/0.66 % Forward subsumed : 43
% 0.48/0.66 % Backward subsumed : 9
% 0.48/0.66 % -------- CPU Time ---------
% 0.48/0.66 % User time : 0.287 s
% 0.48/0.66 % System time : 0.014 s
% 0.48/0.66 % Total time : 0.301 s
%------------------------------------------------------------------------------