TSTP Solution File: GRP124-9.004 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 17:23:06 EDT 2024
% Result : Unsatisfiable 7.74s 7.92s
% Output : Refutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 22
% Syntax : Number of clauses : 99 ( 22 unt; 65 nHn; 97 RR)
% Number of literals : 246 ( 0 equ; 41 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X33,X32,X30)
| ~ product1(X31,X32,X30)
| equalish(X33,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
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(product1_total_function2,axiom,
( ~ product1(X8,X10,X11)
| ~ product1(X8,X10,X9)
| equalish(X11,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
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(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(product1_idempotence,axiom,
product1(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X21,X24,X23)
| ~ product1(X21,X22,X23)
| equalish(X24,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
cnf(c20,plain,
( ~ product1(X29,X28,X29)
| equalish(X28,X29) ),
inference(resolution,[status(thm)],[product1_right_cancellation,product1_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(c23,plain,
( ~ product1(X39,X38,X38)
| equalish(X39,X38) ),
inference(resolution,[status(thm)],[product1_left_cancellation,product1_idempotence]) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(product1_total_function1,axiom,
( ~ group_element(X16)
| ~ group_element(X17)
| product1(X16,X17,e_1)
| product1(X16,X17,e_2)
| product1(X16,X17,e_3)
| product1(X16,X17,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
cnf(c14,plain,
( ~ group_element(X93)
| product1(X93,e_1,e_1)
| product1(X93,e_1,e_2)
| product1(X93,e_1,e_3)
| product1(X93,e_1,e_4) ),
inference(resolution,[status(thm)],[product1_total_function1,element_1]) ).
cnf(c91,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c14,element_2]) ).
cnf(c124,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c91,c23]) ).
cnf(c155,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c124,e_2_is_not_e_1]) ).
cnf(c159,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c155,c20]) ).
cnf(c178,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c159,e_1_is_not_e_2]) ).
cnf(c184,plain,
( product1(e_2,e_1,e_3)
| ~ product1(X104,e_1,e_4)
| equalish(X104,e_2) ),
inference(resolution,[status(thm)],[c178,product1_left_cancellation]) ).
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(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c92,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c14,element_3]) ).
cnf(c189,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c92,c23]) ).
cnf(c354,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c189,e_3_is_not_e_1]) ).
cnf(c363,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c354,c20]) ).
cnf(c380,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c363,e_1_is_not_e_3]) ).
cnf(c387,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c380,c184]) ).
cnf(c486,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c387,e_3_is_not_e_2]) ).
cnf(c487,plain,
( product1(e_2,e_1,e_3)
| ~ product1(X137,e_1,e_2)
| equalish(X137,e_3) ),
inference(resolution,[status(thm)],[c486,product1_left_cancellation]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(c93,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c14,element_4]) ).
cnf(c213,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4)
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[c93,c23]) ).
cnf(c710,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c213,e_4_is_not_e_1]) ).
cnf(c727,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[c710,c20]) ).
cnf(c743,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c727,e_1_is_not_e_4]) ).
cnf(c747,plain,
( product1(e_4,e_1,e_3)
| product1(e_2,e_1,e_3)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c743,c487]) ).
cnf(c892,plain,
( product1(e_4,e_1,e_3)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c747,e_4_is_not_e_3]) ).
cnf(c905,plain,
( product1(e_2,e_1,e_3)
| ~ product1(e_4,e_1,X189)
| equalish(X189,e_3) ),
inference(resolution,[status(thm)],[c892,product1_total_function2]) ).
cnf(product2_idempotence,axiom,
product2(X5,X5,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
cnf(product2_total_function2,axiom,
( ~ product2(X41,X43,X44)
| ~ product2(X41,X43,X42)
| equalish(X44,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
cnf(c26,plain,
( ~ product2(X51,X51,X50)
| equalish(X50,X51) ),
inference(resolution,[status(thm)],[product2_total_function2,product2_idempotence]) ).
cnf(qg2a,negated_conjecture,
( ~ product1(X73,X74,X76)
| ~ product1(X76,X73,X75)
| product2(X75,X74,X73) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2a) ).
cnf(c495,plain,
( product1(e_3,e_1,e_2)
| ~ product1(X140,e_1,e_3)
| equalish(X140,e_2) ),
inference(resolution,[status(thm)],[c486,product1_left_cancellation]) ).
cnf(c754,plain,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[c743,c495]) ).
cnf(c1056,plain,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c754,e_4_is_not_e_2]) ).
cnf(c1077,plain,
( product1(e_4,e_1,e_2)
| ~ product1(e_1,X252,e_3)
| product2(e_2,X252,e_1) ),
inference(resolution,[status(thm)],[c1056,qg2a]) ).
cnf(c15,plain,
( ~ group_element(X94)
| product1(X94,e_2,e_1)
| product1(X94,e_2,e_2)
| product1(X94,e_2,e_3)
| product1(X94,e_2,e_4) ),
inference(resolution,[status(thm)],[product1_total_function1,element_2]) ).
cnf(c94,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c15,element_1]) ).
cnf(c238,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c94,c20]) ).
cnf(c1315,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c238,e_2_is_not_e_1]) ).
cnf(c1323,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1315,c23]) ).
cnf(c1367,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c1323,e_1_is_not_e_2]) ).
cnf(c1374,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[c1367,c1077]) ).
cnf(c1552,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1374,c26]) ).
cnf(c1586,plain,
( product1(e_1,e_2,e_4)
| product1(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c1552,e_1_is_not_e_2]) ).
cnf(c1609,plain,
( product1(e_1,e_2,e_4)
| product1(e_2,e_1,e_3)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c1586,c905]) ).
cnf(c1959,plain,
( product1(e_1,e_2,e_4)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c1609,e_2_is_not_e_3]) ).
cnf(c1996,plain,
( product1(e_1,e_2,e_4)
| ~ product1(X386,e_1,e_3)
| equalish(X386,e_2) ),
inference(resolution,[status(thm)],[c1959,product1_left_cancellation]) ).
cnf(c96,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c15,element_3]) ).
cnf(c264,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c96,c23]) ).
cnf(c2180,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c264,e_3_is_not_e_2]) ).
cnf(c7362,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c2180,c20]) ).
cnf(c7431,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c7362,e_2_is_not_e_3]) ).
cnf(c7555,plain,
( product1(e_3,e_2,e_1)
| ~ product1(X612,e_2,e_4)
| equalish(X612,e_3) ),
inference(resolution,[status(thm)],[c7431,product1_left_cancellation]) ).
cnf(c382,plain,
( product1(e_3,e_1,e_4)
| ~ product1(X129,e_1,e_2)
| equalish(X129,e_3) ),
inference(resolution,[status(thm)],[c380,product1_left_cancellation]) ).
cnf(c745,plain,
( product1(e_4,e_1,e_3)
| product1(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c743,c382]) ).
cnf(c820,plain,
( product1(e_4,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c745,e_4_is_not_e_3]) ).
cnf(c830,plain,
( product1(e_3,e_1,e_4)
| ~ product1(e_4,e_1,X179)
| equalish(X179,e_3) ),
inference(resolution,[status(thm)],[c820,product1_total_function2]) ).
cnf(c1604,plain,
( product1(e_1,e_2,e_4)
| product1(e_3,e_1,e_4)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c1586,c830]) ).
cnf(c1766,plain,
( product1(e_1,e_2,e_4)
| product1(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c1604,e_2_is_not_e_3]) ).
cnf(c1784,plain,
( product1(e_1,e_2,e_4)
| ~ product1(e_3,X367,e_4)
| equalish(X367,e_1) ),
inference(resolution,[status(thm)],[c1766,product1_right_cancellation]) ).
cnf(c7542,plain,
( product1(e_3,e_2,e_1)
| product1(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c7431,c1784]) ).
cnf(c7783,plain,
( product1(e_3,e_2,e_1)
| product1(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c7542,e_2_is_not_e_1]) ).
cnf(c7817,plain,
( product1(e_3,e_2,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c7783,c7555]) ).
cnf(c7854,plain,
product1(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c7817,e_1_is_not_e_3]) ).
cnf(c7863,plain,
( ~ product1(e_2,X619,e_3)
| product2(e_1,X619,e_2) ),
inference(resolution,[status(thm)],[c7854,qg2a]) ).
cnf(c7901,plain,
( product2(e_1,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c7863,c892]) ).
cnf(c7921,plain,
( product1(e_4,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c7901,c26]) ).
cnf(c7994,plain,
product1(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c7921,e_2_is_not_e_1]) ).
cnf(c8013,plain,
( product1(e_1,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[c7994,c1996]) ).
cnf(c8275,plain,
product1(e_1,e_2,e_4),
inference(resolution,[status(thm)],[c8013,e_4_is_not_e_2]) ).
cnf(c8290,plain,
( ~ product1(X637,e_2,e_4)
| equalish(X637,e_1) ),
inference(resolution,[status(thm)],[c8275,product1_left_cancellation]) ).
cnf(c8008,plain,
( ~ product1(e_4,X621,e_3)
| equalish(X621,e_1) ),
inference(resolution,[status(thm)],[c7994,product1_right_cancellation]) ).
cnf(c7861,plain,
( ~ product1(X618,e_2,e_1)
| equalish(X618,e_3) ),
inference(resolution,[status(thm)],[c7854,product1_left_cancellation]) ).
cnf(c97,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c15,element_4]) ).
cnf(c283,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[c97,c23]) ).
cnf(c2519,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c283,e_4_is_not_e_2]) ).
cnf(c8980,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c2519,c7861]) ).
cnf(c9055,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c8980,e_4_is_not_e_3]) ).
cnf(c9061,plain,
( product1(e_4,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c9055,c8008]) ).
cnf(c9094,plain,
product1(e_4,e_2,e_4),
inference(resolution,[status(thm)],[c9061,e_2_is_not_e_1]) ).
cnf(c9102,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c9094,c8290]) ).
cnf(c9106,plain,
$false,
inference(resolution,[status(thm)],[c9102,e_4_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP124-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n028.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 03:48:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 7.74/7.92 % Version: 1.5
% 7.74/7.92 % SZS status Unsatisfiable
% 7.74/7.92 % SZS output start CNFRefutation
% See solution above
% 7.74/7.92
% 7.74/7.92 % Initial clauses : 29
% 7.74/7.92 % Processed clauses : 656
% 7.74/7.92 % Factors computed : 11
% 7.74/7.92 % Resolvents computed: 9101
% 7.74/7.92 % Tautologies deleted: 0
% 7.74/7.92 % Forward subsumed : 1876
% 7.74/7.92 % Backward subsumed : 329
% 7.74/7.92 % -------- CPU Time ---------
% 7.74/7.92 % User time : 7.511 s
% 7.74/7.92 % System time : 0.034 s
% 7.74/7.92 % Total time : 7.545 s
%------------------------------------------------------------------------------