%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 17:23:11 EDT 2024
% Result : Unsatisfiable 13.02s 13.19s
% Output : Refutation 13.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 12
% Syntax : Number of clauses : 91 ( 15 unt; 68 nHn; 91 RR)
% Number of literals : 253 ( 0 equ; 41 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 : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_right_cancellation,axiom,
( ~ product(X12,X13,X14)
| ~ product(X12,X11,X14)
| equalish(X13,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_left_cancellation,axiom,
( ~ product(X20,X21,X19)
| ~ product(X18,X21,X19)
| equalish(X20,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(product_total_function1,axiom,
( ~ group_element(X9)
| ~ group_element(X10)
| product(X9,X10,e_1)
| product(X9,X10,e_2)
| product(X9,X10,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c1,plain,
( ~ group_element(X29)
| product(X29,X29,e_1)
| product(X29,X29,e_2)
| product(X29,X29,e_3) ),
inference(factor,[status(thm)],[product_total_function1]) ).
cnf(c8,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c1,element_1]) ).
cnf(c33,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(e_1,X53,e_2)
| equalish(X53,e_1) ),
inference(resolution,[status(thm)],[c8,product_right_cancellation]) ).
cnf(qg3,negated_conjecture,
( ~ product(X28,X25,X27)
| ~ product(X25,X27,X26)
| product(X27,X28,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(c27,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X46,e_1,e_1)
| product(e_1,X46,e_2) ),
inference(resolution,[status(thm)],[c8,qg3]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c2,plain,
( ~ group_element(X31)
| product(X31,e_1,e_1)
| product(X31,e_1,e_2)
| product(X31,e_1,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c12,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c2,element_2]) ).
cnf(c31,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X52,e_1,e_2)
| equalish(X52,e_1) ),
inference(resolution,[status(thm)],[c8,product_left_cancellation]) ).
cnf(c345,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c31,c12]) ).
cnf(c1452,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c345,e_2_is_not_e_1]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c13,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c2,element_3]) ).
cnf(c344,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c31,c13]) ).
cnf(c1375,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c344,e_3_is_not_e_1]) ).
cnf(c2769,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c1375,c27]) ).
cnf(c6029,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c2769,c33]) ).
cnf(c6250,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c6029,e_3_is_not_e_1]) ).
cnf(c6367,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(X212,e_1,e_3)
| equalish(X212,e_3) ),
inference(resolution,[status(thm)],[c6250,product_left_cancellation]) ).
cnf(c7035,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_2,e_3)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c6367,c1452]) ).
cnf(c9509,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[c7035,e_2_is_not_e_3]) ).
cnf(c9735,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c9509,c27]) ).
cnf(c10053,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c9735,c33]) ).
cnf(c10123,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c10053,e_2_is_not_e_1]) ).
cnf(c10229,plain,
( product(e_1,e_1,e_3)
| ~ product(X236,e_1,e_1)
| equalish(X236,e_1) ),
inference(resolution,[status(thm)],[c10123,product_left_cancellation]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c4,plain,
( ~ group_element(X33)
| product(X33,e_3,e_1)
| product(X33,e_3,e_2)
| product(X33,e_3,e_3) ),
inference(resolution,[status(thm)],[product_total_function1,element_3]) ).
cnf(c17,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)],[c4,element_1]) ).
cnf(c250,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,X181,e_1)
| equalish(X181,e_3) ),
inference(resolution,[status(thm)],[c17,product_right_cancellation]) ).
cnf(c10256,plain,
( product(e_1,e_1,e_1)
| ~ product(X239,e_1,e_3)
| equalish(X239,e_1) ),
inference(resolution,[status(thm)],[c10123,product_left_cancellation]) ).
cnf(c143,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(X139,e_1,e_1)
| equalish(X139,e_3) ),
inference(resolution,[status(thm)],[c13,product_left_cancellation]) ).
cnf(c6344,plain,
( product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c6250,c143]) ).
cnf(c7322,plain,
( product(e_1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c6344,e_1_is_not_e_3]) ).
cnf(c7337,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,X216,e_3)
| equalish(X216,e_1) ),
inference(resolution,[status(thm)],[c7322,product_right_cancellation]) ).
cnf(c7346,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(X270,e_1,e_1)
| product(e_1,X270,e_3) ),
inference(resolution,[status(thm)],[c7322,qg3]) ).
cnf(c12140,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c7346,c13]) ).
cnf(c12241,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c12140,c7337]) ).
cnf(c12404,plain,
( product(e_3,e_1,e_2)
| equalish(e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c12241,c10256]) ).
cnf(c13017,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[c12404,e_3_is_not_e_1]) ).
cnf(c13111,plain,
( product(e_1,e_1,e_1)
| ~ product(X277,e_1,e_2)
| equalish(X277,e_3) ),
inference(resolution,[status(thm)],[c13017,product_left_cancellation]) ).
cnf(c40,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ product(e_1,X57,e_3)
| equalish(X57,e_1) ),
inference(resolution,[status(thm)],[c8,product_right_cancellation]) ).
cnf(c358,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c40,c17]) ).
cnf(c2255,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c358,e_3_is_not_e_1]) ).
cnf(c13125,plain,
( product(e_1,e_1,e_1)
| ~ product(X285,e_3,e_1)
| product(e_1,X285,e_2) ),
inference(resolution,[status(thm)],[c13017,qg3]) ).
cnf(c14040,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c13125,c2255]) ).
cnf(c14517,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c14040,c13111]) ).
cnf(c14622,plain,
( product(e_1,e_3,e_2)
| equalish(e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c14517,c250]) ).
cnf(c15470,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[c14622,e_1_is_not_e_3]) ).
cnf(c15570,plain,
( product(e_1,e_3,e_3)
| ~ product(X293,e_3,e_2)
| equalish(X293,e_1) ),
inference(resolution,[status(thm)],[c15470,product_left_cancellation]) ).
cnf(c12448,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c12241,e_3_is_not_e_1]) ).
cnf(c15587,plain,
( product(e_1,e_3,e_3)
| ~ product(X301,e_1,e_3)
| product(e_3,X301,e_2) ),
inference(resolution,[status(thm)],[c15470,qg3]) ).
cnf(c16162,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c15587,c12448]) ).
cnf(c16506,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c16162,c15570]) ).
cnf(c16584,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c16506,e_3_is_not_e_1]) ).
cnf(c16585,plain,
( product(e_3,e_1,e_2)
| ~ product(X303,e_3,e_3)
| equalish(X303,e_1) ),
inference(resolution,[status(thm)],[c16584,product_left_cancellation]) ).
cnf(c16603,plain,
( product(e_3,e_1,e_2)
| ~ product(X309,e_1,e_3)
| product(e_3,X309,e_3) ),
inference(resolution,[status(thm)],[c16584,qg3]) ).
cnf(c17432,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c16603,c12448]) ).
cnf(c17474,plain,
( product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c17432,c16585]) ).
cnf(c17606,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c17474,e_3_is_not_e_1]) ).
cnf(c17616,plain,
( ~ product(e_3,X311,e_2)
| equalish(X311,e_1) ),
inference(resolution,[status(thm)],[c17606,product_right_cancellation]) ).
cnf(c15588,plain,
( product(e_1,e_3,e_2)
| ~ product(X296,e_3,e_3)
| equalish(X296,e_1) ),
inference(resolution,[status(thm)],[c15470,product_left_cancellation]) ).
cnf(c17627,plain,
( ~ product(X313,e_3,e_1)
| product(e_1,X313,e_2) ),
inference(resolution,[status(thm)],[c17606,qg3]) ).
cnf(c10,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[c1,element_3]) ).
cnf(c96,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_3,X119,e_2)
| equalish(X119,e_3) ),
inference(resolution,[status(thm)],[c10,product_right_cancellation]) ).
cnf(c17448,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c17432,c96]) ).
cnf(c18794,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[c17448,e_1_is_not_e_3]) ).
cnf(c18823,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[c18794,c17627]) ).
cnf(c19010,plain,
( product(e_1,e_3,e_2)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c18823,c15588]) ).
cnf(c19058,plain,
product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[c19010,e_3_is_not_e_1]) ).
cnf(c19147,plain,
( ~ product(X328,e_1,e_3)
| product(e_3,X328,e_2) ),
inference(resolution,[status(thm)],[c19058,qg3]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(c115,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| ~ product(X129,e_1,e_2)
| equalish(X129,e_2) ),
inference(resolution,[status(thm)],[c12,product_left_cancellation]) ).
cnf(c17612,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c17606,c115]) ).
cnf(c19720,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c17612,e_3_is_not_e_2]) ).
cnf(c19750,plain,
( product(e_2,e_1,e_1)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[c19720,c19147]) ).
cnf(c19779,plain,
( product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c19750,c17616]) ).
cnf(c19801,plain,
( equalish(e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c19779,c10229]) ).
cnf(c19896,plain,
product(e_1,e_1,e_3),
inference(resolution,[status(thm)],[c19801,e_2_is_not_e_1]) ).
cnf(c19915,plain,
( ~ product(e_1,X355,e_3)
| equalish(X355,e_1) ),
inference(resolution,[status(thm)],[c19896,product_right_cancellation]) ).
cnf(c19802,plain,
product(e_2,e_1,e_1),
inference(resolution,[status(thm)],[c19779,e_2_is_not_e_1]) ).
cnf(c19921,plain,
( ~ product(X359,e_1,e_1)
| product(e_1,X359,e_3) ),
inference(resolution,[status(thm)],[c19896,qg3]) ).
cnf(c20042,plain,
product(e_1,e_2,e_3),
inference(resolution,[status(thm)],[c19921,c19802]) ).
cnf(c20045,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c20042,c19915]) ).
cnf(c20061,plain,
$false,
inference(resolution,[status(thm)],[c20045,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n023.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 04:43:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 13.02/13.19 % Version: 1.5
% 13.02/13.19 % SZS status Unsatisfiable
% 13.02/13.19 % SZS output start CNFRefutation
% See solution above
% 13.02/13.19
% 13.02/13.19 % Initial clauses : 14
% 13.02/13.19 % Processed clauses : 458
% 13.02/13.19 % Factors computed : 5
% 13.02/13.19 % Resolvents computed: 20057
% 13.02/13.19 % Tautologies deleted: 1
% 13.02/13.19 % Forward subsumed : 1180
% 13.02/13.19 % Backward subsumed : 309
% 13.02/13.19 % -------- CPU Time ---------
% 13.02/13.19 % User time : 12.762 s
% 13.02/13.19 % System time : 0.068 s
% 13.02/13.19 % Total time : 12.830 s
%------------------------------------------------------------------------------