TSTP Solution File: GRP134-1.003 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 11:22:09 EDT 2022
% Result : Unsatisfiable 66.90s 67.16s
% Output : Refutation 66.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(product_total_function2,axiom,
( ~ product(X3,X4,X2)
| ~ product(X3,X4,X5)
| equalish(X2,X5) ),
input ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X10)
| ~ group_element(X11)
| product(X10,X11,e_1)
| product(X10,X11,e_2)
| product(X10,X11,e_3) ),
input ).
cnf(c1,plain,
( ~ group_element(X21)
| product(X21,e_1,e_1)
| product(X21,e_1,e_2)
| product(X21,e_1,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c7,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(qg4,negated_conjecture,
( ~ product(X17,X18,X16)
| ~ product(X18,X17,X19)
| product(X16,X19,X18) ),
input ).
cnf(c66,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| ~ product(e_1,e_1,X151)
| product(X151,e_2,e_1) ),
inference(resolution,status(thm),[c7,qg4]) ).
cnf(c804,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c66,c7]) ).
cnf(c829,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| ~ product(e_1,e_1,X289)
| product(X289,e_3,e_1) ),
inference(resolution,status(thm),[c804,qg4]) ).
cnf(c2585,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c829,c804]) ).
cnf(c2672,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| ~ product(e_3,e_3,X298)
| equalish(X298,e_1) ),
inference(resolution,status(thm),[c2585,product_total_function2]) ).
cnf(product_left_cancellation,axiom,
( ~ product(X12,X14,X13)
| ~ product(X15,X14,X13)
| equalish(X12,X15) ),
input ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c0,plain,
( ~ group_element(X20)
| product(X20,e_3,e_1)
| product(X20,e_3,e_2)
| product(X20,e_3,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_3]) ).
cnf(c3,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),[c0,element_3]) ).
cnf(c18,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X43)
| product(X43,e_2,e_3) ),
inference(resolution,status(thm),[c3,qg4]) ).
cnf(c223,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c18,c3]) ).
cnf(c300,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_2,e_2,X229)
| equalish(X229,e_3) ),
inference(resolution,status(thm),[c223,product_total_function2]) ).
cnf(c2651,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c2585,c300]) ).
cnf(c4932,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c2651,e_1_is_not_e_3]) ).
cnf(c4999,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X346)
| equalish(X346,e_1) ),
inference(resolution,status(thm),[c4932,product_total_function2]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X7,X6,X8)
| ~ product(X7,X9,X8)
| equalish(X6,X9) ),
input ).
cnf(c14,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X29)
| product(X29,e_1,e_3) ),
inference(resolution,status(thm),[c3,qg4]) ).
cnf(c148,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c14,c3]) ).
cnf(c159,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_1,X211,e_3)
| equalish(X211,e_1) ),
inference(resolution,status(thm),[c148,product_right_cancellation]) ).
cnf(c4,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),[c0,element_1]) ).
cnf(c24,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(X57,e_3,e_1)
| equalish(X57,e_1) ),
inference(resolution,status(thm),[c4,product_left_cancellation]) ).
cnf(c393,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c24,c3]) ).
cnf(c4441,plain,
( product(e_1,e_3,e_2)
| equalish(e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c393,c159]) ).
cnf(c9718,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c4441,e_3_is_not_e_1]) ).
cnf(c9873,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c9718,c4999]) ).
cnf(c26658,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c9873,e_2_is_not_e_1]) ).
cnf(c26659,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_1,e_1)
| ~ product(X473,e_3,e_2)
| equalish(X473,e_1) ),
inference(resolution,status(thm),[c26658,product_left_cancellation]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(c161,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_1,e_1,X213)
| equalish(X213,e_3) ),
inference(resolution,status(thm),[c148,product_total_function2]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(c2,plain,
( ~ group_element(X22)
| product(X22,e_2,e_1)
| product(X22,e_2,e_2)
| product(X22,e_2,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c11,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(resolution,status(thm),[c2,element_2]) ).
cnf(c110,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_2,e_2,X195)
| product(X195,e_1,e_2) ),
inference(resolution,status(thm),[c11,qg4]) ).
cnf(c1045,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c110,c11]) ).
cnf(c1060,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| ~ product(e_2,e_2,X304)
| product(X304,e_3,e_2) ),
inference(resolution,status(thm),[c1045,qg4]) ).
cnf(c2865,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c1060,c1045]) ).
cnf(c3042,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c2865,c161]) ).
cnf(c6093,plain,
( product(e_2,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c3042,e_2_is_not_e_3]) ).
cnf(c6121,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_2,e_2,X364)
| equalish(X364,e_2) ),
inference(resolution,status(thm),[c6093,product_total_function2]) ).
cnf(c9832,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_1,X471)
| product(X471,e_2,e_1) ),
inference(resolution,status(thm),[c9718,qg4]) ).
cnf(c160,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| ~ product(X212,e_1,e_3)
| equalish(X212,e_1) ),
inference(resolution,status(thm),[c148,product_left_cancellation]) ).
cnf(c6,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),[c1,element_3]) ).
cnf(c49,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,X131,e_1)
| equalish(X131,e_1) ),
inference(resolution,status(thm),[c6,product_right_cancellation]) ).
cnf(c740,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c49,c3]) ).
cnf(c16546,plain,
( product(e_3,e_1,e_2)
| equalish(e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c740,c160]) ).
cnf(c44742,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c16546,e_3_is_not_e_1]) ).
cnf(c44943,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c44742,c9832]) ).
cnf(c45520,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(e_1,e_2) ),
inference(resolution,status(thm),[c44943,c6121]) ).
cnf(c45744,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c45520,e_1_is_not_e_2]) ).
cnf(c45783,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c45744,c26659]) ).
cnf(c49262,plain,
( product(e_1,e_1,e_1)
| equalish(e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c45783,c2672]) ).
cnf(c54865,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c49262,e_3_is_not_e_1]) ).
cnf(c54944,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,e_1,X589)
| equalish(X589,e_1) ),
inference(resolution,status(thm),[c54865,product_total_function2]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(c3067,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| ~ product(e_3,e_3,X313)
| equalish(X313,e_2) ),
inference(resolution,status(thm),[c2865,product_total_function2]) ).
cnf(c298,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_2,X226,e_3)
| equalish(X226,e_2) ),
inference(resolution,status(thm),[c223,product_right_cancellation]) ).
cnf(c5,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),[c0,element_2]) ).
cnf(c40,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| ~ product(X103,e_3,e_2)
| equalish(X103,e_2) ),
inference(resolution,status(thm),[c5,product_left_cancellation]) ).
cnf(c627,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| equalish(e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c40,c3]) ).
cnf(c12832,plain,
( product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c627,c298]) ).
cnf(c36245,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c12832,e_3_is_not_e_2]) ).
cnf(c36483,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X535)
| equalish(X535,e_1) ),
inference(resolution,status(thm),[c36245,product_total_function2]) ).
cnf(c45823,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c45744,c36483]) ).
cnf(c50626,plain,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_1) ),
inference(resolution,status(thm),[c45823,e_2_is_not_e_1]) ).
cnf(c50676,plain,
( product(e_3,e_3,e_3)
| ~ product(X580,e_3,e_1)
| equalish(X580,e_2) ),
inference(resolution,status(thm),[c50626,product_left_cancellation]) ).
cnf(c4942,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_3)
| ~ product(e_1,X341,e_1)
| equalish(X341,e_1) ),
inference(resolution,status(thm),[c4932,product_right_cancellation]) ).
cnf(c28,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_3)
| ~ product(X66,e_3,e_2)
| equalish(X66,e_1) ),
inference(resolution,status(thm),[c4,product_left_cancellation]) ).
cnf(c481,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_3)
| equalish(e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c28,c3]) ).
cnf(c7515,plain,
( product(e_1,e_3,e_3)
| equalish(e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c481,c4942]) ).
cnf(c21556,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c7515,e_3_is_not_e_1]) ).
cnf(c21760,plain,
( product(e_1,e_3,e_3)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X440)
| equalish(X440,e_1) ),
inference(resolution,status(thm),[c21556,product_total_function2]) ).
cnf(c45778,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_3,e_3)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c45744,c21760]) ).
cnf(c48261,plain,
( product(e_3,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,status(thm),[c45778,e_2_is_not_e_1]) ).
cnf(c48514,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_1,X587)
| product(X587,e_3,e_1) ),
inference(resolution,status(thm),[c48261,qg4]) ).
cnf(c45789,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,X554,e_2)
| equalish(X554,e_3) ),
inference(resolution,status(thm),[c45744,product_right_cancellation]) ).
cnf(c50,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,X135)
| product(X135,e_1,e_3) ),
inference(resolution,status(thm),[c6,qg4]) ).
cnf(c48505,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c48261,c50]) ).
cnf(c65686,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,status(thm),[c48505,c45789]) ).
cnf(c65787,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c65686,e_1_is_not_e_3]) ).
cnf(c65832,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,status(thm),[c65787,c48514]) ).
cnf(c65882,plain,
( product(e_3,e_3,e_3)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c65832,c50676]) ).
cnf(c65917,plain,
( equalish(e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c65882,c3067]) ).
cnf(c66154,plain,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c65917,e_3_is_not_e_2]) ).
cnf(c66233,plain,
( product(e_1,e_1,e_2)
| ~ product(X694,e_2,e_2)
| equalish(X694,e_2) ),
inference(resolution,status(thm),[c66154,product_left_cancellation]) ).
cnf(c118,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_2,e_2,X201)
| product(X201,e_3,e_2) ),
inference(resolution,status(thm),[c11,qg4]) ).
cnf(c1113,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c118,c11]) ).
cnf(c1150,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(X274,e_3,e_2)
| equalish(X274,e_3) ),
inference(resolution,status(thm),[c1113,product_left_cancellation]) ).
cnf(c45,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ product(e_2,X117,e_3)
| equalish(X117,e_3) ),
inference(resolution,status(thm),[c5,product_right_cancellation]) ).
cnf(c727,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| equalish(e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c45,c11]) ).
cnf(c15356,plain,
( product(e_2,e_3,e_1)
| equalish(e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c727,c1150]) ).
cnf(c42910,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,status(thm),[c15356,e_2_is_not_e_3]) ).
cnf(c43187,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| ~ product(e_2,X551,e_2)
| equalish(X551,e_2) ),
inference(resolution,status(thm),[c42910,product_right_cancellation]) ).
cnf(c44,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ product(X115,e_3,e_3)
| equalish(X115,e_2) ),
inference(resolution,status(thm),[c5,product_left_cancellation]) ).
cnf(c50661,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c50626,c44]) ).
cnf(c57725,plain,
( product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c50661,c43187]) ).
cnf(c60952,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,status(thm),[c57725,e_3_is_not_e_2]) ).
cnf(c61178,plain,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_2,X639)
| product(X639,e_1,e_2) ),
inference(resolution,status(thm),[c60952,qg4]) ).
cnf(c63508,plain,
( product(e_2,e_3,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c61178,c60952]) ).
cnf(c63582,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_2,X646)
| product(X646,e_1,e_2) ),
inference(resolution,status(thm),[c63508,qg4]) ).
cnf(c9,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,status(thm),[c2,element_3]) ).
cnf(c93,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| ~ product(e_3,X176,e_3)
| equalish(X176,e_2) ),
inference(resolution,status(thm),[c9,product_right_cancellation]) ).
cnf(c65925,plain,
( equalish(e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c65882,c93]) ).
cnf(c66767,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c65925,e_3_is_not_e_2]) ).
cnf(c66831,plain,
( product(e_3,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c66767,c63582]) ).
cnf(c66874,plain,
( product(e_1,e_1,e_2)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c66831,c66233]) ).
cnf(c66938,plain,
product(e_1,e_1,e_2),
inference(resolution,status(thm),[c66874,e_3_is_not_e_2]) ).
cnf(c66942,plain,
( product(e_2,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c66938,c54944]) ).
cnf(c67131,plain,
product(e_2,e_2,e_1),
inference(resolution,status(thm),[c66942,e_2_is_not_e_1]) ).
cnf(c67147,plain,
( ~ product(e_2,e_2,X706)
| equalish(X706,e_1) ),
inference(resolution,status(thm),[c67131,product_total_function2]) ).
cnf(c67132,plain,
( ~ product(X705,e_2,e_1)
| equalish(X705,e_2) ),
inference(resolution,status(thm),[c67131,product_left_cancellation]) ).
cnf(c67173,plain,
( equalish(e_3,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,status(thm),[c67132,c66767]) ).
cnf(c67548,plain,
product(e_3,e_2,e_2),
inference(resolution,status(thm),[c67173,e_3_is_not_e_2]) ).
cnf(c55010,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,X593,e_1)
| equalish(X593,e_2) ),
inference(resolution,status(thm),[c54865,product_right_cancellation]) ).
cnf(c57676,plain,
( product(e_2,e_3,e_2)
| equalish(e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c50661,c55010]) ).
cnf(c60303,plain,
( product(e_2,e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c57676,e_3_is_not_e_2]) ).
cnf(c60377,plain,
( product(e_2,e_3,e_2)
| ~ product(e_1,e_1,X624)
| equalish(X624,e_1) ),
inference(resolution,status(thm),[c60303,product_total_function2]) ).
cnf(c66958,plain,
( product(e_2,e_3,e_2)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c66938,c60377]) ).
cnf(c67311,plain,
product(e_2,e_3,e_2),
inference(resolution,status(thm),[c66958,e_2_is_not_e_1]) ).
cnf(c67321,plain,
( ~ product(e_3,e_2,X719)
| product(X719,e_2,e_2) ),
inference(resolution,status(thm),[c67311,qg4]) ).
cnf(c67643,plain,
product(e_2,e_2,e_2),
inference(resolution,status(thm),[c67321,c67548]) ).
cnf(c67649,plain,
equalish(e_2,e_1),
inference(resolution,status(thm),[c67643,c67147]) ).
cnf(c67657,plain,
$false,
inference(resolution,status(thm),[c67649,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP134-1.003 : 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 : n022.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 06:38:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 66.90/67.16 # Version: 1.3
% 66.90/67.16 # SZS status Unsatisfiable
% 66.90/67.16 # SZS output start CNFRefutation
% See solution above
% 66.90/67.16
% 66.90/67.16 # Initial clauses : 14
% 66.90/67.16 # Processed clauses : 977
% 66.90/67.16 # Factors computed : 0
% 66.90/67.16 # Resolvents computed: 67658
% 66.90/67.16 # Tautologies deleted: 0
% 66.90/67.16 # Forward subsumed : 2794
% 66.90/67.16 # Backward subsumed : 844
% 66.90/67.16 # -------- CPU Time ---------
% 66.90/67.16 # User time : 66.612 s
% 66.90/67.16 # System time : 0.195 s
% 66.90/67.16 # Total time : 66.807 s
%------------------------------------------------------------------------------