TSTP Solution File: BOO025-1 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n024.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 : Thu Jul 14 23:38:50 EDT 2022
% Result : Unsatisfiable 0.84s 1.20s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : fiesta-wrapper %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 16:39:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.20 Theorem Proved.
% 0.84/1.20 % SZS status Unsatisfiable
% 0.84/1.20 % SZS output start CNFRefutation
% 0.84/1.20 [1=axiom,[],
% 0.84/1.20 pixley(X10,X11,X10) = X10].
% 0.84/1.20 [2=axiom,[],
% 0.84/1.20 pixley(X10,X11,X11) = X10].
% 0.84/1.20 [3=axiom,[],
% 0.84/1.20 pixley(X10,X10,X11) = X11].
% 0.84/1.20 [4=axiom,[],
% 0.84/1.20 pixley(X10,X11,X12) = add(multiply(X10,inverse(X11)),add(multiply(X10,X12),multiply(inverse(X11),X12)))].
% 0.84/1.20 [5=demod(1),[4],
% 0.84/1.20 add(multiply(X10,inverse(X11)),add(multiply(X10,X10),multiply(inverse(X11),X10))) = X10].
% 0.84/1.20 [6=demod(2),[4],
% 0.84/1.20 add(multiply(X10,inverse(X11)),add(multiply(X10,X11),multiply(inverse(X11),X11))) = X10].
% 0.84/1.20 [7=demod(3),[4],
% 0.84/1.20 add(multiply(X10,inverse(X10)),add(multiply(X10,X11),multiply(inverse(X10),X11))) = X11].
% 0.84/1.20 [8=axiom,[],
% 0.84/1.20 add(X10,inverse(X10)) = n1].
% 0.84/1.20 [9=axiom,[],
% 0.84/1.20 add(multiply(X11,X10),multiply(X12,X10)) = multiply(X10,add(X11,X12))].
% 0.84/1.20 [11=demod(5),[9],
% 0.84/1.20 add(multiply(X10,inverse(X11)),multiply(X10,add(X10,inverse(X11)))) = X10].
% 0.84/1.20 [12=demod(6),[9],
% 0.84/1.20 add(multiply(X10,inverse(X11)),multiply(X11,add(X10,inverse(X11)))) = X10].
% 0.84/1.20 [13=demod(7),[9,8],
% 0.84/1.20 add(multiply(X10,inverse(X10)),multiply(X11,n1)) = X11].
% 0.84/1.20 [14=axiom,[],
% 0.84/1.20 multiply(add(X10,X11),X11) = X11].
% 0.84/1.20 [15=axiom,[],
% 0.84/1.20 thtop(X10,X10) = thmfalse].
% 0.84/1.20 [16=axiom,[],
% 0.84/1.20 thtop(multiply(b,inverse(b)),multiply(a,inverse(a))) = thmtrue].
% 0.84/1.20 [17=param(14,8),[],
% 0.84/1.20 multiply(n1,inverse(X10)) = inverse(X10)].
% 0.84/1.20 [18=param(9,14),[],
% 0.84/1.20 multiply(X10,add(add(X12,X10),X11)) = add(X10,multiply(X11,X10))].
% 0.84/1.20 [19=param(9,14),[],
% 0.84/1.20 add(multiply(X10,X11),X11) = multiply(X11,add(X10,add(X12,X11)))].
% 0.84/1.20 [20=param(14,9),[],
% 0.84/1.20 multiply(multiply(X10,add(X11,X12)),multiply(X12,X10)) = multiply(X12,X10)].
% 0.84/1.20 [22=param(9,17),[],
% 0.84/1.20 add(multiply(X10,inverse(X11)),inverse(X11)) = multiply(inverse(X11),add(X10,n1))].
% 0.84/1.20 [24=param(14,13),[],
% 0.84/1.20 multiply(X10,multiply(X10,n1)) = multiply(X10,n1)].
% 0.84/1.20 [25=param(13,17),[],
% 0.84/1.20 add(inverse(n1),multiply(X10,n1)) = X10].
% 0.84/1.20 [26=param(25,14),[],
% 0.84/1.20 add(inverse(n1),n1) = add(X10,n1)].
% 0.84/1.20 [33=param(14,19),[],
% 0.84/1.20 multiply(multiply(X10,add(X11,add(X12,X10))),X10) = X10].
% 0.84/1.20 [35=param(19,26),[],
% 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = add(inverse(n1),n1)].
% 0.84/1.20 [38=param(22,17),[],
% 0.84/1.20 add(inverse(X10),inverse(X10)) = multiply(inverse(X10),add(n1,n1))].
% 0.84/1.20 [41=param(20,8),[],
% 0.84/1.20 multiply(multiply(X10,n1),multiply(inverse(X11),X10)) = multiply(inverse(X11),X10)].
% 0.84/1.20 [43=param(41,14),[],
% 0.84/1.20 multiply(n1,multiply(inverse(X10),add(X11,n1))) = multiply(inverse(X10),add(X11,n1))].
% 0.84/1.20 [46=param(35,26),[],
% 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = add(X12,n1)].
% 0.84/1.20 [47=param(46,18),[14],
% 0.84/1.20 add(X10,n1) = add(n1,n1)].
% 0.84/1.20 [49=demod(26),[],
% 0.84/1.20 add(inverse(n1),n1) = add(X10,n1)].
% 0.84/1.20 [51=param(46,19),[],
% 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = multiply(n1,add(X12,add(X13,n1)))].
% 0.84/1.20 [52=param(18,47),[],
% 0.84/1.20 multiply(X10,add(n1,n1)) = add(X10,multiply(n1,X10))].
% 0.84/1.20 [54=param(52,47),[],
% 0.84/1.20 multiply(X10,add(X11,n1)) = add(X10,multiply(n1,X10))].
% 0.84/1.20 [55=param(52,24),[9],
% 0.84/1.20 multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(n1,n1))].
% 0.84/1.20 [56=param(55,47),[],
% 0.84/1.20 multiply(multiply(n1,n1),add(X10,n1)) = multiply(n1,add(n1,n1))].
% 0.84/1.20 [58=param(54,52),[],
% 0.84/1.20 multiply(X10,add(X11,n1)) = multiply(X10,add(n1,n1))].
% 0.84/1.20 [63=param(58,46),[],
% 0.84/1.20 multiply(X10,multiply(n1,add(X11,add(X12,n1)))) = multiply(X10,add(X13,n1))].
% 0.84/1.20 [64=param(58,47),[],
% 0.84/1.20 multiply(X10,add(X11,n1)) = multiply(X10,add(X12,n1))].
% 0.84/1.20 [65=param(64,14),[],
% 0.84/1.20 multiply(add(X10,add(X11,n1)),add(X12,n1)) = add(X11,n1)].
% 0.84/1.20 [67=param(56,47),[],
% 0.84/1.20 multiply(n1,add(X10,n1)) = multiply(multiply(n1,n1),add(X11,n1))].
% 0.84/1.20 [69=param(63,20),[65],
% 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = multiply(n1,add(X12,add(X10,n1)))].
% 0.84/1.20 [70=param(69,18),[14],
% 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = add(n1,n1)].
% 0.84/1.20 [71=param(69,19),[-26],
% 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = add(inverse(n1),n1)].
% 0.84/1.20 [83=param(9,24),[],
% 0.84/1.20 add(multiply(X10,n1),multiply(X11,multiply(X10,n1))) = multiply(multiply(X10,n1),add(X10,X11))].
% 0.84/1.20 [87=param(12,14),[],
% 0.84/1.20 add(inverse(X10),multiply(X10,add(add(X11,inverse(X10)),inverse(X10)))) = add(X11,inverse(X10))].
% 0.84/1.20 [103=param(9,46),[65],
% 0.84/1.20 add(multiply(X10,add(X11,add(X12,n1))),add(X13,n1)) = add(X12,n1)].
% 0.84/1.20 [105=param(52,46),[65],
% 0.84/1.20 add(add(X10,add(X11,n1)),add(X12,n1)) = add(X11,n1)].
% 0.84/1.20 [111=param(33,105),[],
% 0.84/1.20 multiply(multiply(n1,add(X10,n1)),n1) = n1].
% 0.84/1.20 [112=param(46,105),[],
% 0.84/1.20 multiply(n1,add(X10,n1)) = add(X11,n1)].
% 0.84/1.20 [119=param(111,18),[],
% 0.84/1.20 multiply(add(n1,multiply(n1,n1)),n1) = n1].
% 0.84/1.20 [124=param(13,119),[-26],
% 0.84/1.20 add(inverse(n1),n1) = add(n1,multiply(n1,n1))].
% 0.84/1.20 [128=demod(71),[124],
% 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = add(n1,multiply(n1,n1))].
% 0.84/1.20 [129=demod(49),[124],
% 0.84/1.20 add(n1,multiply(n1,n1)) = add(X10,n1)].
% 0.84/1.20 [143=param(9,112),[],
% 0.84/1.20 add(multiply(X10,add(X11,n1)),add(X12,n1)) = multiply(add(X11,n1),add(X10,n1))].
% 0.84/1.20 [144=param(112,19),[],
% 0.84/1.20 multiply(n1,multiply(n1,add(X10,add(X11,n1)))) = add(X12,n1)].
% 0.84/1.20 [145=param(52,112),[],
% 0.84/1.20 add(add(X10,n1),add(X11,n1)) = multiply(add(X10,n1),add(n1,n1))].
% 0.84/1.20 [147=param(112,112),[],
% 0.84/1.20 multiply(n1,multiply(n1,add(X10,n1))) = add(X11,n1)].
% 0.84/1.20 [173=param(147,112),[],
% 0.84/1.20 multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))) = add(X11,n1)].
% 0.84/1.20 [208=param(51,145),[],
% 0.84/1.20 multiply(n1,multiply(add(X10,n1),add(n1,n1))) = multiply(n1,add(X11,add(X12,n1)))].
% 0.84/1.20 [217=param(56,112),[],
% 0.84/1.20 multiply(multiply(n1,n1),add(X10,n1)) = add(X11,n1)].
% 0.84/1.20 [227=param(9,217),[143],
% 0.84/1.20 multiply(add(X10,n1),add(X11,multiply(n1,n1))) = multiply(add(X10,n1),add(X11,n1))].
% 0.84/1.20 [268=param(67,217),[],
% 0.84/1.20 multiply(multiply(n1,n1),multiply(multiply(n1,n1),add(X10,n1))) = multiply(n1,add(X11,n1))].
% 0.84/1.20 [305=param(173,70),[],
% 0.84/1.20 multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))) = multiply(add(X11,n1),add(X12,n1))].
% 0.84/1.20 [348=param(54,144),[103],
% 0.84/1.20 multiply(multiply(n1,add(X11,add(X10,n1))),add(X12,n1)) = add(X10,n1)].
% 0.84/1.20 [358=param(348,105),[],
% 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = add(X12,n1)].
% 0.84/1.20 [362=param(358,19),[],
% 0.84/1.20 multiply(multiply(n1,add(X10,n1)),multiply(n1,add(X11,add(X12,n1)))) = add(X13,n1)].
% 0.84/1.20 [367=param(358,147),[],
% 0.84/1.20 multiply(multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))),add(X11,n1)) = add(X12,n1)].
% 0.84/1.20 [382=param(358,129),[],
% 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = add(n1,multiply(n1,n1))].
% 0.84/1.20 [389=param(358,217),[],
% 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = multiply(multiply(n1,n1),add(X12,n1))].
% 0.84/1.20 [399=param(227,13),[14,-26,128],
% 0.84/1.20 add(n1,multiply(n1,n1)) = n1].
% 0.84/1.20 [400=demod(382),[399],
% 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = n1].
% 0.84/1.20 [401=demod(389),[400],
% 0.84/1.20 multiply(multiply(n1,n1),add(X10,n1)) = n1].
% 0.84/1.20 [402=demod(268),[401],
% 0.84/1.20 multiply(n1,add(X10,n1)) = multiply(multiply(n1,n1),n1)].
% 0.84/1.20 [408=demod(367),[402],
% 0.84/1.20 multiply(multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))),add(X10,n1)) = add(X11,n1)].
% 0.84/1.20 [411=demod(362),[402],
% 0.84/1.20 multiply(multiply(multiply(n1,n1),n1),multiply(n1,add(X10,add(X11,n1)))) = add(X12,n1)].
% 0.84/1.20 [413=demod(305),[402],
% 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))].
% 0.84/1.20 [417=demod(208),[413],
% 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))))].
% 0.84/1.20 [418=demod(411),[417],
% 0.84/1.20 add(X10,n1) = multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))].
% 0.84/1.20 [422=demod(402),[418],
% 0.84/1.20 multiply(n1,multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = multiply(multiply(n1,n1),n1)].
% 0.84/1.20 [423=demod(401),[418],
% 0.84/1.20 multiply(multiply(n1,n1),multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = n1].
% 0.84/1.20 [433=demod(408),[418,418],
% 0.84/1.20 multiply(multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))),multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))].
% 0.84/1.20 [438=demod(54),[418],
% 0.84/1.20 add(X10,multiply(n1,X10)) = multiply(X10,multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))))))].
% 0.84/1.20 [439=demod(399),[438,422],
% 0.84/1.20 multiply(multiply(n1,n1),n1) = n1].
% 0.84/1.20 [440=demod(438),[439,439,24,24,24],
% 0.84/1.20 add(X10,multiply(n1,X10)) = multiply(X10,multiply(n1,n1))].
% 0.84/1.20 [445=demod(433),[439,24,439,439,24,24,24,439,439,24,24,24],
% 0.84/1.20 multiply(multiply(n1,n1),multiply(n1,n1)) = multiply(n1,n1)].
% 0.84/1.20 [448=demod(423),[439,439,24,24,24,445],
% 0.84/1.20 multiply(n1,n1) = n1].
% 0.84/1.20 [453=demod(440),[448],
% 0.84/1.20 add(X10,multiply(n1,X10)) = multiply(X10,n1)].
% 0.84/1.20 [454=demod(418),[448,448,448,448,448,448,448,448],
% 0.84/1.20 add(X10,n1) = n1].
% 0.84/1.20 [455=demod(43),[454,454],
% 0.84/1.20 multiply(n1,multiply(inverse(X10),n1)) = multiply(inverse(X10),n1)].
% 0.84/1.20 [459=demod(38),[454],
% 0.84/1.20 add(inverse(X10),inverse(X10)) = multiply(inverse(X10),n1)].
% 0.84/1.20 [462=param(83,41),[9,459,455,448,454],
% 0.84/1.20 multiply(multiply(inverse(X10),n1),n1) = multiply(inverse(X10),n1)].
% 0.84/1.20 [474=param(13,462),[13],
% 0.84/1.20 multiply(inverse(X10),n1) = inverse(X10)].
% 0.84/1.20 [485=param(9,474),[],
% 0.84/1.20 add(inverse(X10),multiply(X11,n1)) = multiply(n1,add(inverse(X10),X11))].
% 0.84/1.20 [486=demod(25),[485],
% 0.84/1.20 multiply(n1,add(inverse(n1),X10)) = X10].
% 0.84/1.20 [487=param(9,474),[],
% 0.84/1.20 add(multiply(X10,n1),inverse(X11)) = multiply(n1,add(X10,inverse(X11)))].
% 0.84/1.20 [496=param(486,8),[448],
% 0.84/1.20 inverse(inverse(n1)) = n1].
% 0.84/1.20 [501=param(486,87),[],
% 0.84/1.20 multiply(n1,add(add(X10,inverse(n1)),inverse(n1))) = multiply(n1,add(X10,inverse(n1)))].
% 0.84/1.20 [504=param(11,496),[496,454,9],
% 0.84/1.20 multiply(n1,add(X10,X10)) = X10].
% 0.84/1.20 [509=param(12,496),[496,454,474,487],
% 0.84/1.20 multiply(n1,add(X10,inverse(n1))) = X10].
% 0.84/1.20 [510=demod(501),[509,509],
% 0.84/1.20 add(X10,inverse(n1)) = X10].
% 0.84/1.20 [511=demod(509),[510],
% 0.84/1.20 multiply(n1,X10) = X10].
% 0.84/1.20 [512=demod(453),[511],
% 0.84/1.20 add(X10,X10) = multiply(X10,n1)].
% 0.84/1.20 [517=demod(504),[512,511],
% 0.84/1.20 multiply(X10,n1) = X10].
% 0.84/1.20 [529=demod(512),[517],
% 0.84/1.20 add(X10,X10) = X10].
% 0.84/1.20 [545=demod(486),[511],
% 0.84/1.20 add(inverse(n1),X10) = X10].
% 0.84/1.20 [549=param(529,9),[529],
% 0.84/1.20 multiply(X10,X11) = multiply(X11,X10)].
% 0.84/1.20 [553=param(12,545),[9,545,549],
% 0.84/1.20 multiply(X10,inverse(X10)) = inverse(n1)].
% 0.84/1.20 [560=param(16,553),[553,15],
% 0.84/1.20 thmtrue = thmfalse].
% 0.84/1.20 % SZS output end CNFRefutation
% 0.84/1.20 Space: 477 KB
%------------------------------------------------------------------------------