TSTP Solution File: GRP127-1.004 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 : 600s
% DateTime : Sat Jul 16 11:21:56 EDT 2022
% Result : Unsatisfiable 4.75s 4.93s
% Output : Refutation 4.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X19,X21,X20)
| ~ product(X18,X21,X20)
| equalish(X19,X18) ),
input ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
input ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
input ).
cnf(product_total_function2,axiom,
( ~ product(X7,X8,X6)
| ~ product(X7,X8,X5)
| equalish(X6,X5) ),
input ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
input ).
cnf(product_right_cancellation,axiom,
( ~ product(X14,X13,X15)
| ~ product(X14,X12,X15)
| equalish(X13,X12) ),
input ).
cnf(c6,plain,
( ~ product(X17,X16,X17)
| equalish(X16,X17) ),
inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(c8,plain,
( ~ product(X23,X24,X24)
| equalish(X23,X24) ),
inference(resolution,status(thm),[product_left_cancellation,product_idempotence]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X3)
| ~ group_element(X4)
| product(X3,X4,e_1)
| product(X3,X4,e_2)
| product(X3,X4,e_3)
| product(X3,X4,e_4) ),
input ).
cnf(c0,plain,
( ~ group_element(X32)
| product(X32,e_1,e_1)
| product(X32,e_1,e_2)
| product(X32,e_1,e_3)
| product(X32,e_1,e_4) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c13,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(c29,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c13,c8]) ).
cnf(c61,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c29,e_2_is_not_e_1]) ).
cnf(c62,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c61,c6]) ).
cnf(c84,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c62,e_1_is_not_e_2]) ).
cnf(c87,plain,
( product(e_2,e_1,e_4)
| ~ product(X39,e_1,e_3)
| equalish(X39,e_2) ),
inference(resolution,status(thm),[c84,product_left_cancellation]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
input ).
cnf(element_4,axiom,
group_element(e_4),
input ).
cnf(c15,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c0,element_4]) ).
cnf(c118,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| equalish(e_4,e_1) ),
inference(resolution,status(thm),[c15,c8]) ).
cnf(c476,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,status(thm),[c118,e_4_is_not_e_1]) ).
cnf(c490,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(e_1,e_4) ),
inference(resolution,status(thm),[c476,c6]) ).
cnf(c509,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(resolution,status(thm),[c490,e_1_is_not_e_4]) ).
cnf(c516,plain,
( product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c509,c87]) ).
cnf(c711,plain,
( product(e_4,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c516,e_4_is_not_e_2]) ).
cnf(c728,plain,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_1,X150)
| equalish(X150,e_4) ),
inference(resolution,status(thm),[c711,product_total_function2]) ).
cnf(qg3,negated_conjecture,
( ~ product(X29,X27,X26)
| ~ product(X26,X29,X28)
| product(X28,X29,X27) ),
input ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(c91,plain,
( product(e_2,e_1,e_3)
| ~ product(X42,e_1,e_4)
| equalish(X42,e_2) ),
inference(resolution,status(thm),[c84,product_left_cancellation]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c14,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c96,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c14,c8]) ).
cnf(c260,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c96,e_3_is_not_e_1]) ).
cnf(c265,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c260,c6]) ).
cnf(c286,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c265,e_1_is_not_e_3]) ).
cnf(c294,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c286,c91]) ).
cnf(c389,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c294,e_3_is_not_e_2]) ).
cnf(c403,plain,
( product(e_3,e_1,e_2)
| ~ product(X77,e_1,e_3)
| equalish(X77,e_2) ),
inference(resolution,status(thm),[c389,product_left_cancellation]) ).
cnf(c517,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c509,c403]) ).
cnf(c791,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c517,e_4_is_not_e_2]) ).
cnf(c820,plain,
( product(e_4,e_1,e_2)
| ~ product(e_1,X203,e_3)
| product(e_2,e_1,X203) ),
inference(resolution,status(thm),[c791,qg3]) ).
cnf(c1,plain,
( ~ group_element(X34)
| product(X34,e_2,e_1)
| product(X34,e_2,e_2)
| product(X34,e_2,e_3)
| product(X34,e_2,e_4) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c16,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c1,element_1]) ).
cnf(c143,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c16,c6]) ).
cnf(c1013,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c143,e_2_is_not_e_1]) ).
cnf(c1077,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1013,c8]) ).
cnf(c1123,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,status(thm),[c1077,e_1_is_not_e_2]) ).
cnf(c1125,plain,
( product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c1123,c820]) ).
cnf(c1202,plain,
( product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c1125,c728]) ).
cnf(c1248,plain,
( product(e_1,e_2,e_4)
| product(e_4,e_1,e_2) ),
inference(resolution,status(thm),[c1202,e_2_is_not_e_4]) ).
cnf(c1272,plain,
( product(e_1,e_2,e_4)
| ~ product(X234,e_1,e_2)
| equalish(X234,e_4) ),
inference(resolution,status(thm),[c1248,product_left_cancellation]) ).
cnf(c806,plain,
( product(e_3,e_1,e_2)
| ~ product(e_1,X200,e_4)
| product(e_2,e_1,X200) ),
inference(resolution,status(thm),[c791,qg3]) ).
cnf(c1134,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,status(thm),[c1123,c806]) ).
cnf(c1829,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c1134,c6]) ).
cnf(c1915,plain,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c1829,e_1_is_not_e_2]) ).
cnf(c1918,plain,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,X283)
| equalish(X283,e_3) ),
inference(resolution,status(thm),[c1915,product_total_function2]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(c395,plain,
( product(e_2,e_1,e_3)
| ~ product(X74,e_1,e_2)
| equalish(X74,e_3) ),
inference(resolution,status(thm),[c389,product_left_cancellation]) ).
cnf(c510,plain,
( product(e_4,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c509,c395]) ).
cnf(c560,plain,
( product(e_4,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c510,e_4_is_not_e_3]) ).
cnf(c567,plain,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X127)
| equalish(X127,e_3) ),
inference(resolution,status(thm),[c560,product_total_function2]) ).
cnf(c1263,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_3)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c1248,c567]) ).
cnf(c1351,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c1263,e_2_is_not_e_3]) ).
cnf(c1362,plain,
( product(e_2,e_1,e_3)
| ~ product(X241,e_2,e_4)
| equalish(X241,e_1) ),
inference(resolution,status(thm),[c1351,product_left_cancellation]) ).
cnf(c18,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c1,element_3]) ).
cnf(c169,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c18,c8]) ).
cnf(c1595,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c169,e_3_is_not_e_2]) ).
cnf(c3181,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c1595,c6]) ).
cnf(c3237,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c3181,e_2_is_not_e_3]) ).
cnf(c3255,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_3)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c3237,c1362]) ).
cnf(c3599,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c3255,e_3_is_not_e_1]) ).
cnf(c3622,plain,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_1,X369)
| equalish(X369,e_3) ),
inference(resolution,status(thm),[c3599,product_total_function2]) ).
cnf(c289,plain,
( product(e_3,e_1,e_4)
| ~ product(X67,e_1,e_2)
| equalish(X67,e_3) ),
inference(resolution,status(thm),[c286,product_left_cancellation]) ).
cnf(c511,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c509,c289]) ).
cnf(c633,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,status(thm),[c511,e_4_is_not_e_3]) ).
cnf(c638,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c633,c87]) ).
cnf(c893,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c638,e_4_is_not_e_2]) ).
cnf(c899,plain,
( product(e_2,e_1,e_4)
| ~ product(e_3,X176,e_4)
| equalish(X176,e_1) ),
inference(resolution,status(thm),[c893,product_right_cancellation]) ).
cnf(c3261,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c3237,c899]) ).
cnf(c3989,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(resolution,status(thm),[c3261,e_2_is_not_e_1]) ).
cnf(c4034,plain,
( product(e_3,e_2,e_1)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c3989,c3622]) ).
cnf(c4072,plain,
product(e_3,e_2,e_1),
inference(resolution,status(thm),[c4034,e_4_is_not_e_3]) ).
cnf(c4085,plain,
( ~ product(e_2,X395,e_3)
| product(e_1,e_2,X395) ),
inference(resolution,status(thm),[c4072,qg3]) ).
cnf(c4107,plain,
( product(e_1,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(resolution,status(thm),[c4085,c389]) ).
cnf(c4118,plain,
( product(e_3,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c4107,c1918]) ).
cnf(c4189,plain,
product(e_3,e_1,e_2),
inference(resolution,status(thm),[c4118,e_1_is_not_e_3]) ).
cnf(c4193,plain,
( product(e_1,e_2,e_4)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c4189,c1272]) ).
cnf(c4255,plain,
product(e_1,e_2,e_4),
inference(resolution,status(thm),[c4193,e_3_is_not_e_4]) ).
cnf(c4270,plain,
( ~ product(X405,e_2,e_4)
| equalish(X405,e_1) ),
inference(resolution,status(thm),[c4255,product_left_cancellation]) ).
cnf(c651,plain,
( product(e_4,e_1,e_3)
| ~ product(e_3,e_1,X140)
| equalish(X140,e_4) ),
inference(resolution,status(thm),[c633,product_total_function2]) ).
cnf(c4200,plain,
( product(e_4,e_1,e_3)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c4189,c651]) ).
cnf(c4382,plain,
product(e_4,e_1,e_3),
inference(resolution,status(thm),[c4200,e_2_is_not_e_4]) ).
cnf(c4389,plain,
( ~ product(e_4,X413,e_3)
| equalish(X413,e_1) ),
inference(resolution,status(thm),[c4382,product_right_cancellation]) ).
cnf(c4092,plain,
( ~ product(X392,e_2,e_1)
| equalish(X392,e_3) ),
inference(resolution,status(thm),[c4072,product_left_cancellation]) ).
cnf(c19,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c1,element_4]) ).
cnf(c188,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c19,c8]) ).
cnf(c1873,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c188,e_4_is_not_e_2]) ).
cnf(c5650,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c1873,c4092]) ).
cnf(c5709,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c5650,e_4_is_not_e_3]) ).
cnf(c5719,plain,
( product(e_4,e_2,e_4)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c5709,c4389]) ).
cnf(c5748,plain,
product(e_4,e_2,e_4),
inference(resolution,status(thm),[c5719,e_2_is_not_e_1]) ).
cnf(c5753,plain,
equalish(e_4,e_1),
inference(resolution,status(thm),[c5748,c4270]) ).
cnf(c5813,plain,
$false,
inference(resolution,status(thm),[c5753,e_4_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 04:16:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.75/4.93 # Version: 1.3
% 4.75/4.93 # SZS status Unsatisfiable
% 4.75/4.93 # SZS output start CNFRefutation
% See solution above
% 4.75/4.93
% 4.75/4.93 # Initial clauses : 22
% 4.75/4.93 # Processed clauses : 457
% 4.75/4.93 # Factors computed : 0
% 4.75/4.93 # Resolvents computed: 5814
% 4.75/4.93 # Tautologies deleted: 0
% 4.75/4.93 # Forward subsumed : 1398
% 4.75/4.93 # Backward subsumed : 271
% 4.75/4.93 # -------- CPU Time ---------
% 4.75/4.93 # User time : 4.574 s
% 4.75/4.93 # System time : 0.018 s
% 4.75/4.93 # Total time : 4.592 s
%------------------------------------------------------------------------------