TSTP Solution File: BOO022-1 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n032.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 0.69s 1.14s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : fiesta-wrapper %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 1 22:52:00 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.69/1.14 Theorem Proved.
% 0.69/1.14 % SZS status Unsatisfiable
% 0.69/1.14 % SZS output start CNFRefutation
% 0.69/1.14 [1=axiom,[],
% 0.69/1.14 multiply(X10,inverse(X10)) = n0].
% 0.69/1.14 [2=axiom,[],
% 0.69/1.14 add(X10,multiply(X11,X12)) = multiply(add(X11,X10),add(X12,X10))].
% 0.69/1.14 [3=axiom,[],
% 0.69/1.14 add(multiply(X10,X11),X11) = X11].
% 0.69/1.14 [4=axiom,[],
% 0.69/1.14 add(X10,inverse(X10)) = n1].
% 0.69/1.14 [5=axiom,[],
% 0.69/1.14 add(multiply(X11,X10),multiply(X12,X10)) = multiply(X10,add(X11,X12))].
% 0.69/1.14 [6=axiom,[],
% 0.69/1.14 multiply(add(X10,X11),X11) = X11].
% 0.69/1.14 [7=axiom,[],
% 0.69/1.14 thtop(X10,X10) = thmfalse].
% 0.69/1.14 [8=axiom,[],
% 0.69/1.14 thtop(multiply(multiply(a,b),c),multiply(a,multiply(b,c))) = thmtrue].
% 0.69/1.14 [9=param(6,4),[],
% 0.69/1.14 multiply(n1,inverse(X10)) = inverse(X10)].
% 0.69/1.14 [10=param(2,1),[],
% 0.69/1.14 add(X10,n0) = multiply(add(X11,X10),add(inverse(X11),X10))].
% 0.69/1.14 [13=param(2,4),[],
% 0.69/1.14 multiply(n1,add(X10,inverse(X11))) = add(inverse(X11),multiply(X11,X10))].
% 0.69/1.14 [15=param(9,1),[],
% 0.69/1.14 inverse(n1) = n0].
% 0.69/1.14 [16=param(2,9),[],
% 0.69/1.14 add(X10,inverse(X11)) = multiply(add(n1,X10),add(inverse(X11),X10))].
% 0.69/1.14 [17=param(1,15),[],
% 0.69/1.14 multiply(n1,n0) = n0].
% 0.69/1.14 [18=param(4,15),[],
% 0.69/1.14 add(n1,n0) = n1].
% 0.69/1.14 [19=param(3,1),[],
% 0.69/1.14 add(n0,inverse(X10)) = inverse(X10)].
% 0.69/1.14 [20=param(3,2),[],
% 0.69/1.14 add(add(X10,multiply(X11,X12)),add(X12,X10)) = add(X12,X10)].
% 0.69/1.14 [23=param(3,6),[],
% 0.69/1.14 add(X10,X10) = X10].
% 0.69/1.14 [24=param(6,3),[],
% 0.69/1.14 multiply(X10,X10) = X10].
% 0.69/1.14 [25=param(2,24),[24],
% 0.69/1.14 add(X10,X11) = add(X11,X10)].
% 0.69/1.14 [26=demod(3),[],
% 0.69/1.14 add(multiply(X10,X11),X11) = X11].
% 0.69/1.14 [27=demod(18),[],
% 0.69/1.14 add(n1,n0) = n1].
% 0.69/1.14 [29=param(2,27),[],
% 0.69/1.14 multiply(add(X10,n0),n1) = add(n0,multiply(X10,n1))].
% 0.69/1.14 [30=param(5,1),[],
% 0.69/1.14 add(n0,multiply(X10,inverse(X11))) = multiply(inverse(X11),add(X11,X10))].
% 0.69/1.14 [31=param(5,1),[],
% 0.69/1.14 add(multiply(X10,inverse(X11)),n0) = multiply(inverse(X11),add(X10,X11))].
% 0.69/1.14 [34=param(6,5),[],
% 0.69/1.14 multiply(multiply(X10,add(X11,X12)),multiply(X12,X10)) = multiply(X12,X10)].
% 0.69/1.14 [36=param(5,24),[],
% 0.69/1.14 add(X10,multiply(X11,X10)) = multiply(X10,add(X10,X11))].
% 0.69/1.14 [39=param(5,24),[26],
% 0.69/1.14 multiply(X10,add(X11,X10)) = X10].
% 0.69/1.14 [44=param(2,23),[6,36],
% 0.69/1.14 multiply(X10,add(X10,X11)) = X10].
% 0.69/1.14 [45=demod(36),[44],
% 0.69/1.14 add(X10,multiply(X11,X10)) = X10].
% 0.69/1.14 [48=param(23,5),[23],
% 0.69/1.14 multiply(X10,X11) = multiply(X11,X10)].
% 0.69/1.14 [51=demod(29),[48],
% 0.69/1.14 multiply(n1,add(X10,n0)) = add(n0,multiply(X10,n1))].
% 0.69/1.14 [52=demod(17),[48],
% 0.69/1.14 multiply(n0,n1) = n0].
% 0.69/1.14 [54=param(2,52),[],
% 0.69/1.14 add(X10,n0) = multiply(add(n0,X10),add(n1,X10))].
% 0.69/1.14 [55=demod(31),[],
% 0.69/1.14 add(multiply(X10,inverse(X11)),n0) = multiply(inverse(X11),add(X10,X11))].
% 0.69/1.14 [56=param(5,52),[],
% 0.69/1.14 add(n0,multiply(X10,n1)) = multiply(n1,add(n0,X10))].
% 0.69/1.14 [57=demod(51),[56],
% 0.69/1.14 multiply(n1,add(X10,n0)) = multiply(n1,add(n0,X10))].
% 0.69/1.14 [60=param(10,4),[23,9],
% 0.69/1.14 add(inverse(X10),n0) = inverse(X10)].
% 0.69/1.14 [62=param(10,4),[48,60],
% 0.69/1.14 multiply(n1,add(X10,inverse(inverse(X10)))) = inverse(inverse(X10))].
% 0.69/1.14 [63=param(10,23),[39],
% 0.69/1.14 add(X10,n0) = X10].
% 0.69/1.14 [64=demod(57),[63],
% 0.69/1.14 multiply(n1,add(n0,X10)) = multiply(n1,X10)].
% 0.69/1.14 [66=demod(54),[63],
% 0.69/1.14 multiply(add(n0,X10),add(n1,X10)) = X10].
% 0.69/1.14 [68=demod(10),[63],
% 0.69/1.14 multiply(add(X11,X10),add(inverse(X11),X10)) = X10].
% 0.69/1.14 [69=demod(55),[63],
% 0.69/1.14 multiply(inverse(X11),add(X10,X11)) = multiply(X10,inverse(X11))].
% 0.69/1.14 [70=param(2,63),[63],
% 0.69/1.14 add(n0,multiply(X10,X11)) = multiply(X10,X11)].
% 0.69/1.14 [71=demod(30),[70],
% 0.69/1.14 multiply(inverse(X11),add(X11,X10)) = multiply(X10,inverse(X11))].
% 0.69/1.14 [74=param(19,4),[],
% 0.69/1.14 inverse(n0) = n1].
% 0.69/1.14 [75=param(13,4),[24,24],
% 0.69/1.14 add(inverse(X10),X10) = n1].
% 0.69/1.14 [77=param(4,74),[],
% 0.69/1.14 add(n0,n1) = n1].
% 0.69/1.14 [78=param(2,77),[39],
% 0.69/1.14 add(n1,multiply(n0,X10)) = n1].
% 0.69/1.14 [81=param(16,23),[39],
% 0.69/1.14 add(n1,inverse(X10)) = n1].
% 0.69/1.14 [83=param(2,81),[48],
% 0.69/1.14 multiply(n1,add(X10,inverse(X11))) = add(inverse(X11),multiply(X10,n1))].
% 0.69/1.14 [84=param(75,2),[],
% 0.69/1.14 multiply(add(X10,inverse(multiply(X10,X11))),add(X11,inverse(multiply(X10,X11)))) = n1].
% 0.69/1.14 [94=param(20,75),[],
% 0.69/1.14 add(n1,add(X10,inverse(multiply(X11,X10)))) = add(X10,inverse(multiply(X11,X10)))].
% 0.69/1.14 [98=param(2,78),[],
% 0.69/1.14 multiply(n1,add(X10,multiply(n0,X11))) = add(multiply(n0,X11),multiply(n1,X10))].
% 0.69/1.14 [99=param(2,78),[48],
% 0.69/1.14 multiply(n1,add(X10,multiply(n0,X11))) = add(multiply(n0,X11),multiply(X10,n1))].
% 0.69/1.14 [108=param(44,4),[],
% 0.69/1.14 multiply(X10,n1) = X10].
% 0.69/1.14 [109=demod(99),[108],
% 0.69/1.14 multiply(n1,add(X10,multiply(n0,X11))) = add(multiply(n0,X11),X10)].
% 0.69/1.14 [111=demod(83),[108],
% 0.69/1.14 multiply(n1,add(X10,inverse(X11))) = add(inverse(X11),X10)].
% 0.69/1.14 [114=param(5,44),[],
% 0.69/1.14 add(X10,multiply(X11,add(X10,X12))) = multiply(add(X10,X12),add(X10,X11))].
% 0.69/1.14 [120=param(45,44),[],
% 0.69/1.14 add(add(X10,X11),X10) = add(X10,X11)].
% 0.69/1.14 [121=param(25,2),[],
% 0.69/1.14 add(multiply(X10,X11),X12) = multiply(add(X10,X12),add(X11,X12))].
% 0.69/1.14 [122=demod(109),[121],
% 0.69/1.14 multiply(n1,add(X10,multiply(n0,X11))) = multiply(add(n0,X10),add(X11,X10))].
% 0.69/1.14 [124=demod(5),[121,45,48],
% 0.69/1.14 multiply(X10,add(X11,multiply(X12,X10))) = multiply(X10,add(X11,X12))].
% 0.69/1.14 [128=demod(98),[121,70,39],
% 0.69/1.14 multiply(n1,add(X10,multiply(n0,X11))) = multiply(n1,X10)].
% 0.69/1.14 [129=demod(122),[128],
% 0.69/1.14 multiply(add(n0,X10),add(X11,X10)) = multiply(n1,X10)].
% 0.69/1.14 [130=demod(66),[129],
% 0.69/1.14 multiply(n1,X10) = X10].
% 0.69/1.14 [133=demod(62),[130],
% 0.69/1.14 add(X10,inverse(inverse(X10))) = inverse(inverse(X10))].
% 0.69/1.14 [136=demod(120),[],
% 0.69/1.14 add(add(X10,X11),X10) = add(X10,X11)].
% 0.69/1.14 [138=demod(136),[],
% 0.69/1.14 add(add(X10,X11),X10) = add(X10,X11)].
% 0.69/1.14 [143=demod(64),[130,130],
% 0.69/1.14 add(n0,X10) = X10].
% 0.69/1.14 [146=demod(45),[],
% 0.69/1.14 add(X10,multiply(X11,X10)) = X10].
% 0.69/1.14 [151=param(44,143),[],
% 0.69/1.14 multiply(n0,X10) = n0].
% 0.69/1.14 [155=demod(138),[],
% 0.69/1.14 add(add(X10,X11),X10) = add(X10,X11)].
% 0.69/1.14 [157=param(130,44),[],
% 0.69/1.14 add(n1,X10) = n1].
% 0.69/1.14 [158=demod(94),[157],
% 0.69/1.14 add(X10,inverse(multiply(X11,X10))) = n1].
% 0.69/1.14 [159=demod(84),[158,48,130],
% 0.69/1.14 add(X10,inverse(multiply(X10,X11))) = n1].
% 0.69/1.14 [163=param(34,23),[],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(X11,X10)) = multiply(X11,X10)].
% 0.69/1.14 [170=param(34,146),[],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(multiply(X12,X11),X10)) = multiply(multiply(X12,X11),X10)].
% 0.69/1.14 [181=param(2,159),[48,130],
% 0.69/1.14 add(X10,inverse(multiply(X11,X12))) = add(inverse(multiply(X11,X12)),multiply(X10,X11))].
% 0.69/1.14 [189=param(158,39),[16,157,130],
% 0.69/1.14 add(inverse(X10),add(X11,X10)) = n1].
% 0.69/1.14 [190=param(158,44),[16,157,130],
% 0.69/1.14 add(inverse(X10),add(X10,X11)) = n1].
% 0.69/1.14 [192=param(2,190),[48,130],
% 0.69/1.14 add(X10,add(X11,X12)) = add(add(X11,X12),multiply(X10,inverse(X11)))].
% 0.69/1.14 [197=param(155,25),[],
% 0.69/1.14 add(X10,add(X10,X11)) = add(X10,X11)].
% 0.69/1.14 [213=param(68,146),[124],
% 0.69/1.14 multiply(X10,add(inverse(X10),X11)) = multiply(X11,X10)].
% 0.69/1.14 [226=param(44,133),[],
% 0.69/1.14 multiply(X10,inverse(inverse(X10))) = X10].
% 0.69/1.14 [230=param(69,4),[48,130,226],
% 0.69/1.14 inverse(inverse(X10)) = X10].
% 0.69/1.14 [234=param(69,189),[48,130],
% 0.69/1.14 multiply(inverse(X11),inverse(add(X10,X11))) = inverse(add(X10,X11))].
% 0.69/1.14 [236=param(69,197),[48,1],
% 0.69/1.14 multiply(X10,inverse(add(X10,X11))) = n0].
% 0.69/1.14 [307=param(114,213),[-111,4,130,48,130],
% 0.69/1.14 add(inverse(X10),multiply(X11,X10)) = add(inverse(X10),X11)].
% 0.69/1.14 [316=param(307,68),[-111,130,192,48,236,63],
% 0.69/1.14 add(X10,inverse(add(inverse(X11),X10))) = add(X11,X10)].
% 0.69/1.14 [321=param(71,316),[69,48,234],
% 0.69/1.14 inverse(add(inverse(X10),X11)) = multiply(X10,inverse(X11))].
% 0.69/1.14 [337=param(321,159),[15,230],
% 0.69/1.14 multiply(X10,multiply(inverse(X10),X11)) = n0].
% 0.69/1.14 [340=param(321,230),[],
% 0.69/1.14 inverse(add(X10,X11)) = multiply(inverse(X10),inverse(X11))].
% 0.69/1.14 [353=param(230,340),[],
% 0.69/1.14 add(X10,X11) = inverse(multiply(inverse(X10),inverse(X11)))].
% 0.69/1.14 [377=demod(25),[353,353],
% 0.69/1.14 inverse(multiply(inverse(X10),inverse(X11))) = inverse(multiply(inverse(X11),inverse(X10)))].
% 0.69/1.14 [411=demod(181),[353,230,353,230],
% 0.69/1.14 inverse(multiply(inverse(X10),multiply(X11,X12))) = inverse(multiply(multiply(X11,X12),inverse(multiply(X10,X11))))].
% 0.69/1.14 [421=demod(307),[353,230,353,230],
% 0.69/1.14 inverse(multiply(X10,inverse(multiply(X11,X10)))) = inverse(multiply(X10,inverse(X11)))].
% 0.69/1.14 [454=param(170,48),[],
% 0.69/1.14 multiply(multiply(multiply(X10,X11),X12),multiply(X12,X11)) = multiply(multiply(X10,X11),X12)].
% 0.69/1.14 [456=param(170,337),[48,151,48],
% 0.69/1.14 multiply(X10,multiply(X11,multiply(inverse(X10),X12))) = n0].
% 0.69/1.14 [460=param(456,230),[],
% 0.69/1.14 multiply(inverse(X10),multiply(X11,multiply(X10,X12))) = n0].
% 0.69/1.14 [462=param(460,48),[],
% 0.69/1.14 multiply(inverse(X10),multiply(multiply(X10,X11),X12)) = n0].
% 0.69/1.14 [500=param(462,163),[],
% 0.69/1.14 multiply(inverse(multiply(X10,X11)),multiply(multiply(X11,X10),X12)) = n0].
% 0.69/1.14 [531=param(230,421),[230],
% 0.69/1.14 multiply(X10,inverse(multiply(X11,X10))) = multiply(X10,inverse(X11))].
% 0.69/1.14 [532=param(531,48),[],
% 0.69/1.14 multiply(X10,inverse(multiply(X10,X11))) = multiply(X10,inverse(X11))].
% 0.69/1.14 [659=param(377,230),[230],
% 0.69/1.14 inverse(multiply(X10,inverse(X11))) = inverse(multiply(inverse(X11),X10))].
% 0.69/1.14 [660=param(659,230),[230],
% 0.69/1.14 inverse(multiply(X10,X11)) = inverse(multiply(X11,X10))].
% 0.69/1.14 [710=param(500,170),[],
% 0.69/1.14 multiply(inverse(multiply(X10,X11)),multiply(multiply(X12,X10),X11)) = n0].
% 0.69/1.14 [715=param(710,660),[],
% 0.69/1.14 multiply(inverse(multiply(X10,X11)),multiply(multiply(X12,X11),X10)) = n0].
% 0.69/1.14 [720=param(715,48),[],
% 0.69/1.14 multiply(inverse(multiply(X10,X11)),multiply(multiply(X11,X12),X10)) = n0].
% 0.69/1.14 [741=param(720,48),[],
% 0.69/1.14 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X11,X12))) = n0].
% 0.69/1.14 [768=param(531,741),[74,48,130,230,48],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(X10,multiply(X11,X12))) = multiply(X10,multiply(X11,X12))].
% 0.69/1.14 [859=param(531,411),[532,230,230],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(X12,X10)) = multiply(multiply(X10,X11),X12)].
% 0.69/1.14 [870=param(859,48),[],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(X10,X12)) = multiply(multiply(X10,X11),X12)].
% 0.69/1.14 [871=demod(768),[870],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(X11,X12)) = multiply(X10,multiply(X11,X12))].
% 0.69/1.14 [872=demod(454),[871],
% 0.69/1.14 multiply(multiply(X10,X11),multiply(X12,X11)) = multiply(multiply(X10,X11),X12)].
% 0.69/1.14 [881=param(872,48),[871],
% 0.69/1.14 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.69/1.14 [969=param(8,881),[48,48,7],
% 0.69/1.14 thmtrue = thmfalse].
% 0.69/1.14 % SZS output end CNFRefutation
% 0.69/1.14 Space: 1424 KB
%------------------------------------------------------------------------------