TSTP Solution File: BOO031-1 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : BOO031-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %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 : 600s
% DateTime : Thu Jul 14 23:38:50 EDT 2022
% Result : Unsatisfiable 31.75s 32.13s
% Output : CNFRefutation 31.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO031-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : fiesta-wrapper %s
% 0.13/0.34 % Computer : n028.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 22:53:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 31.75/32.13 Theorem Proved.
% 31.75/32.13 % SZS status Unsatisfiable
% 31.75/32.13 % SZS output start CNFRefutation
% 31.75/32.13 [1=axiom,[],
% 31.75/32.13 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 31.75/32.13 [2=axiom,[],
% 31.75/32.13 add(add(X10,X11),X12) = add(X10,add(X11,X12))].
% 31.75/32.13 [3=axiom,[],
% 31.75/32.13 multiply(X10,inverse(X10)) = n0].
% 31.75/32.13 [4=axiom,[],
% 31.75/32.13 add(X10,inverse(X10)) = n1].
% 31.75/32.13 [5=axiom,[3],
% 31.75/32.13 add(n0,X10) = X10].
% 31.75/32.13 [6=axiom,[1],
% 31.75/32.13 multiply(add(X10,X11),multiply(add(X11,X12),X11)) = X11].
% 31.75/32.13 [7=axiom,[],
% 31.75/32.13 multiply(X10,add(X11,add(X10,X12))) = X10].
% 31.75/32.13 [8=axiom,[4],
% 31.75/32.13 multiply(n1,X10) = X10].
% 31.75/32.13 [9=axiom,[2],
% 31.75/32.13 add(multiply(X10,X11),add(multiply(X11,X12),X11)) = X11].
% 31.75/32.13 [10=axiom,[],
% 31.75/32.13 add(X10,multiply(X11,multiply(X10,X12))) = X10].
% 31.75/32.13 [11=axiom,[],
% 31.75/32.13 multiply(add(X10,X11),multiply(add(X11,X12),add(X12,X10))) = add(multiply(X10,X11),add(multiply(X11,X12),multiply(X12,X10)))].
% 31.75/32.13 [12=axiom,[],
% 31.75/32.13 thtop(X10,X10) = thmfalse].
% 31.75/32.13 [13=axiom,[],
% 31.75/32.13 thtop(multiply(a,add(b,c)),add(multiply(b,a),multiply(c,a))) = thmtrue].
% 31.75/32.13 [17=param(3,8),[],
% 31.75/32.13 inverse(n1) = n0].
% 31.75/32.13 [19=param(2,4),[],
% 31.75/32.13 add(X10,add(X11,inverse(add(X10,X11)))) = n1].
% 31.75/32.13 [20=param(2,4),[],
% 31.75/32.13 add(X11,add(inverse(X11),X10)) = add(n1,X10)].
% 31.75/32.13 [21=param(4,17),[],
% 31.75/32.13 add(n1,n0) = n1].
% 31.75/32.13 [23=param(6,2),[],
% 31.75/32.13 multiply(add(X10,add(X11,X12)),multiply(add(X12,X13),X12)) = X12].
% 31.75/32.13 [29=param(6,21),[5,8],
% 31.75/32.13 multiply(X10,n0) = n0].
% 31.75/32.13 [30=param(1,29),[],
% 31.75/32.13 multiply(X11,multiply(n0,X10)) = multiply(n0,X10)].
% 31.75/32.13 [35=param(7,4),[],
% 31.75/32.13 multiply(X10,add(X11,n1)) = X10].
% 31.75/32.13 [36=param(7,5),[],
% 31.75/32.13 multiply(X10,add(X10,X11)) = X10].
% 31.75/32.13 [38=param(7,8),[],
% 31.75/32.13 add(X10,add(n1,X11)) = n1].
% 31.75/32.13 [39=param(38,2),[38],
% 31.75/32.13 add(X10,n1) = n1].
% 31.75/32.13 [40=demod(35),[39],
% 31.75/32.13 multiply(X10,n1) = X10].
% 31.75/32.13 [41=param(2,38),[2,38],
% 31.75/32.13 add(n1,X10) = n1].
% 31.75/32.13 [42=demod(20),[41],
% 31.75/32.13 add(X10,add(inverse(X10),X11)) = n1].
% 31.75/32.13 [43=param(6,41),[8],
% 31.75/32.13 multiply(add(X10,X11),X10) = X10].
% 31.75/32.13 [44=demod(23),[43],
% 31.75/32.13 multiply(add(X10,add(X11,X12)),X12) = X12].
% 31.75/32.13 [46=param(9,1),[],
% 31.75/32.13 add(multiply(X10,multiply(X11,X12)),add(multiply(X12,X13),X12)) = X12].
% 31.75/32.13 [51=param(7,9),[1],
% 31.75/32.13 multiply(X10,multiply(X11,X10)) = multiply(X10,X11)].
% 31.75/32.13 [53=param(9,8),[],
% 31.75/32.13 add(X10,add(multiply(X10,X11),X10)) = X10].
% 31.75/32.13 [60=param(10,3),[29],
% 31.75/32.13 add(X10,n0) = X10].
% 31.75/32.13 [61=param(10,5),[30],
% 31.75/32.13 multiply(n0,X10) = n0].
% 31.75/32.13 [63=param(10,7),[],
% 31.75/32.13 add(X10,multiply(X11,X10)) = X10].
% 31.75/32.13 [64=param(7,10),[],
% 31.75/32.13 multiply(X10,add(X11,X10)) = X10].
% 31.75/32.13 [65=param(10,8),[],
% 31.75/32.13 add(X10,multiply(X10,X11)) = X10].
% 31.75/32.13 [66=param(9,61),[5],
% 31.75/32.13 add(multiply(X10,X11),X10) = X10].
% 31.75/32.13 [67=demod(46),[66],
% 31.75/32.13 add(multiply(X10,multiply(X11,X12)),X12) = X12].
% 31.75/32.13 [68=demod(53),[66],
% 31.75/32.13 add(X10,X10) = X10].
% 31.75/32.13 [69=param(68,2),[],
% 31.75/32.13 add(X10,add(X11,add(X10,X11))) = add(X10,X11)].
% 31.75/32.13 [71=param(11,5),[60,36,29,61,5,5],
% 31.75/32.13 multiply(X10,X11) = multiply(X11,X10)].
% 31.75/32.13 [72=demod(44),[71],
% 31.75/32.13 multiply(X10,add(X11,add(X12,X10))) = X10].
% 31.75/32.13 [74=param(11,41),[39,8,8,40,8,65],
% 31.75/32.13 add(X10,X11) = add(X11,X10)].
% 31.75/32.13 [75=demod(67),[74],
% 31.75/32.13 add(X10,multiply(X11,multiply(X12,X10))) = X10].
% 31.75/32.13 [79=param(2,65),[],
% 31.75/32.13 add(X10,add(multiply(X10,X12),X11)) = add(X10,X11)].
% 31.75/32.13 [81=param(1,64),[],
% 31.75/32.13 multiply(X10,multiply(add(X12,X10),X11)) = multiply(X10,X11)].
% 31.75/32.13 [86=param(63,7),[2,2],
% 31.75/32.13 add(X10,add(X11,add(X12,X11))) = add(X10,add(X11,X12))].
% 31.75/32.13 [87=demod(69),[86],
% 31.75/32.13 add(X10,add(X11,X10)) = add(X10,X11)].
% 31.75/32.13 [89=param(1,36),[],
% 31.75/32.13 multiply(X10,multiply(add(X10,X12),X11)) = multiply(X10,X11)].
% 31.75/32.13 [93=param(74,2),[],
% 31.75/32.13 add(X10,add(X11,X12)) = add(X11,add(X12,X10))].
% 31.75/32.13 [94=param(2,74),[2],
% 31.75/32.13 add(X10,add(X11,X12)) = add(X11,add(X10,X12))].
% 31.75/32.13 [97=param(74,19),[2,74],
% 31.75/32.13 add(X10,add(X11,inverse(add(X11,X10)))) = n1].
% 31.75/32.13 [98=param(71,1),[],
% 31.75/32.13 multiply(X10,multiply(X11,X12)) = multiply(X11,multiply(X12,X10))].
% 31.75/32.13 [104=param(87,2),[],
% 31.75/32.13 add(X10,add(X11,add(X12,X10))) = add(X10,add(X11,X12))].
% 31.75/32.13 [106=param(64,87),[],
% 31.75/32.13 multiply(add(X10,X11),add(X11,X10)) = add(X10,X11)].
% 31.75/32.13 [141=param(63,51),[],
% 31.75/32.13 add(multiply(X10,X11),multiply(X11,X10)) = multiply(X10,X11)].
% 31.75/32.13 [142=param(42,74),[2],
% 31.75/32.13 add(inverse(X10),add(X11,X10)) = n1].
% 31.75/32.13 [143=param(42,74),[],
% 31.75/32.13 add(X10,add(X11,inverse(X10))) = n1].
% 31.75/32.13 [152=param(142,74),[],
% 31.75/32.13 add(inverse(X10),add(X10,X11)) = n1].
% 31.75/32.13 [169=param(75,7),[2,2],
% 31.75/32.13 add(X10,add(X11,add(X12,multiply(X13,X11)))) = add(X10,add(X11,X12))].
% 31.75/32.13 [170=param(75,11),[2,79,169],
% 31.75/32.13 add(X10,add(X11,multiply(X12,X10))) = add(X10,X11)].
% 31.75/32.13 [178=param(72,65),[1],
% 31.75/32.13 multiply(X10,multiply(X11,add(X12,X10))) = multiply(X10,X11)].
% 31.75/32.13 [194=param(63,178),[],
% 31.75/32.13 add(multiply(X10,add(X11,X12)),multiply(X12,X10)) = multiply(X10,add(X11,X12))].
% 31.75/32.13 [196=param(178,87),[],
% 31.75/32.13 multiply(add(X10,X11),multiply(X12,add(X11,X10))) = multiply(add(X10,X11),X12)].
% 31.75/32.13 [210=param(170,51),[],
% 31.75/32.13 add(multiply(X10,X11),add(X12,multiply(X11,X10))) = add(multiply(X10,X11),X12)].
% 31.75/32.13 [212=param(64,170),[],
% 31.75/32.13 multiply(add(X10,multiply(X11,X12)),add(X12,X10)) = add(X10,multiply(X11,X12))].
% 31.75/32.13 [234=param(64,79),[71],
% 31.75/32.13 multiply(add(X10,X11),add(multiply(X10,X12),X11)) = add(multiply(X10,X12),X11)].
% 31.75/32.13 [365=param(93,2),[],
% 31.75/32.13 add(X10,add(X11,add(X12,X13))) = add(X12,add(X13,add(X10,X11)))].
% 31.75/32.13 [418=param(93,141),[210],
% 31.75/32.13 add(X10,multiply(X11,X12)) = add(multiply(X12,X11),X10)].
% 31.75/32.13 [419=demod(194),[418],
% 31.75/32.13 add(multiply(X10,X11),multiply(X10,add(X12,X11))) = multiply(X10,add(X12,X11))].
% 31.75/32.13 [492=param(98,106),[196],
% 31.75/32.13 multiply(X10,add(X11,X12)) = multiply(add(X12,X11),X10)].
% 31.75/32.13 [493=demod(212),[492],
% 31.75/32.13 multiply(add(X10,X11),add(X10,multiply(X12,X11))) = add(X10,multiply(X12,X11))].
% 31.75/32.13 [1202=param(419,71),[],
% 31.75/32.13 add(multiply(X10,X11),multiply(X11,add(X12,X10))) = multiply(X11,add(X12,X10))].
% 31.75/32.13 [1438=param(11,4),[8,3,5],
% 31.75/32.13 multiply(add(X10,X11),add(inverse(X11),X10)) = add(multiply(X10,X11),multiply(inverse(X11),X10))].
% 31.75/32.13 [2458=param(1202,36),[],
% 31.75/32.13 add(X10,multiply(add(X10,X11),add(X12,X10))) = multiply(add(X10,X11),add(X12,X10))].
% 31.75/32.13 [2495=param(234,63),[],
% 31.75/32.13 multiply(X10,add(multiply(X10,X11),multiply(X12,X10))) = add(multiply(X10,X11),multiply(X12,X10))].
% 31.75/32.13 [3000=param(1438,4),[74,8,3,71,5],
% 31.75/32.13 multiply(X10,inverse(inverse(X10))) = add(X10,inverse(inverse(X10)))].
% 31.75/32.13 [3007=param(81,1438),[],
% 31.75/32.13 multiply(X10,add(multiply(X11,X10),multiply(inverse(X10),X11))) = multiply(X10,add(inverse(X10),X11))].
% 31.75/32.13 [3009=param(89,1438),[2495,64],
% 31.75/32.13 add(multiply(X10,X11),multiply(inverse(X11),X10)) = X10].
% 31.75/32.13 [3011=demod(1438),[3009],
% 31.75/32.13 multiply(add(X10,X11),add(inverse(X11),X10)) = X10].
% 31.75/32.13 [3012=demod(3007),[3009],
% 31.75/32.13 multiply(X10,add(inverse(X10),X11)) = multiply(X10,X11)].
% 31.75/32.13 [3193=param(196,3012),[98,36,71],
% 31.75/32.13 multiply(X10,add(X11,inverse(X10))) = multiply(X10,X11)].
% 31.75/32.13 [3393=param(10,3000),[],
% 31.75/32.13 add(X10,multiply(X11,add(X10,inverse(inverse(X10))))) = X10].
% 31.75/32.13 [3395=param(51,3000),[64,71,3000],
% 31.75/32.13 add(X10,inverse(inverse(X10))) = inverse(inverse(X10))].
% 31.75/32.13 [3396=demod(3393),[3395],
% 31.75/32.13 add(X10,multiply(X11,inverse(inverse(X10)))) = X10].
% 31.75/32.13 [3398=demod(3000),[3395],
% 31.75/32.13 multiply(X10,inverse(inverse(X10))) = inverse(inverse(X10))].
% 31.75/32.13 [3453=demod(3395),[],
% 31.75/32.13 add(X10,inverse(inverse(X10))) = inverse(inverse(X10))].
% 31.75/32.13 [3459=demod(3398),[],
% 31.75/32.13 multiply(X10,inverse(inverse(X10))) = inverse(inverse(X10))].
% 31.75/32.13 [3469=param(493,3453),[3396,71,3459,3396],
% 31.75/32.13 inverse(inverse(X10)) = X10].
% 31.75/32.13 [3473=param(3193,3469),[],
% 31.75/32.13 multiply(inverse(X10),add(X11,X10)) = multiply(inverse(X10),X11)].
% 31.75/32.13 [3482=param(3473,97),[40,71],
% 31.75/32.13 multiply(X11,inverse(add(X10,inverse(add(X10,X11))))) = inverse(add(X10,inverse(add(X10,X11))))].
% 31.75/32.13 [3750=param(3011,42),[74,8],
% 31.75/32.13 add(X10,inverse(add(inverse(X10),X11))) = X10].
% 31.75/32.13 [3769=param(3011,97),[2,74,40],
% 31.75/32.13 add(X10,add(X11,inverse(add(X10,inverse(X11))))) = add(X10,inverse(add(X10,inverse(X11))))].
% 31.75/32.13 [3775=param(3011,142),[74,8],
% 31.75/32.13 add(inverse(X10),inverse(add(X11,X10))) = inverse(X10)].
% 31.75/32.13 [3776=param(3011,143),[74,8],
% 31.75/32.13 add(X10,inverse(add(X11,inverse(X10)))) = X10].
% 31.75/32.13 [3777=demod(3769),[3776],
% 31.75/32.13 add(X10,inverse(add(X10,inverse(X11)))) = add(X10,X11)].
% 31.75/32.13 [3783=param(3011,152),[74,8],
% 31.75/32.13 add(inverse(X10),inverse(add(X10,X11))) = inverse(X10)].
% 31.75/32.13 [3951=param(2,3783),[],
% 31.75/32.13 add(inverse(X10),add(inverse(add(X10,X12)),X11)) = add(inverse(X10),X11)].
% 31.75/32.13 [3974=param(94,3775),[],
% 31.75/32.13 add(inverse(X11),add(X10,inverse(add(X12,X11)))) = add(X10,inverse(X11))].
% 31.75/32.13 [4016=param(3011,3777),[74,3750,3012],
% 31.75/32.13 multiply(X10,X11) = inverse(add(inverse(X10),inverse(X11)))].
% 31.75/32.14 [4313=demod(2458),[4016,4016],
% 31.75/32.14 add(X10,inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10))))) = inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10))))].
% 31.75/32.14 [4742=demod(3482),[4016,3469,3974],
% 31.75/32.14 inverse(add(X10,inverse(add(X10,X11)))) = inverse(add(X10,inverse(X11)))].
% 31.75/32.14 [5439=param(13,4016),[74,4016,4016,74],
% 31.75/32.14 thtop(inverse(add(inverse(a),inverse(add(c,b)))),add(inverse(add(inverse(c),inverse(a))),inverse(add(inverse(b),inverse(a))))) = thmtrue].
% 31.75/32.14 [5460=param(3469,4742),[3469],
% 31.75/32.14 add(X10,inverse(add(X10,X11))) = add(X10,inverse(X11))].
% 31.75/32.14 [5466=param(5460,74),[],
% 31.75/32.14 add(X10,inverse(add(X11,X10))) = add(X10,inverse(X11))].
% 31.75/32.14 [5467=param(5460,93),[],
% 31.75/32.14 add(X10,inverse(add(X11,add(X12,X10)))) = add(X10,inverse(add(X11,X12)))].
% 31.75/32.14 [5470=param(5460,94),[],
% 31.75/32.14 add(X10,inverse(add(X11,add(X10,X12)))) = add(X10,inverse(add(X11,X12)))].
% 31.75/32.14 [5498=param(5466,2),[2,5467],
% 31.75/32.14 add(X10,add(X11,inverse(add(X12,X10)))) = add(X10,add(X11,inverse(X12)))].
% 31.75/32.14 [5501=param(104,5466),[365,3951],
% 31.75/32.14 add(inverse(add(X11,X10)),add(X12,X10)) = add(X10,add(inverse(X11),X12))].
% 31.75/32.14 [5667=param(5501,74),[],
% 31.75/32.14 add(inverse(add(X10,X11)),add(X11,X12)) = add(X11,add(inverse(X10),X12))].
% 31.75/32.14 [5674=param(5667,74),[],
% 31.75/32.14 add(inverse(add(X10,X11)),add(X10,X12)) = add(X10,add(inverse(X11),X12))].
% 31.75/32.14 [5699=param(5460,5498),[5460],
% 31.75/32.14 add(X10,inverse(add(X11,inverse(add(X12,X10))))) = add(X10,inverse(add(X11,inverse(X12))))].
% 31.75/32.14 [5701=demod(4313),[5699],
% 31.75/32.14 inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10)))) = add(X10,inverse(add(inverse(add(X10,X11)),inverse(X12))))].
% 31.75/32.14 [5739=param(5470,5674),[5460],
% 31.75/32.14 add(X10,inverse(add(inverse(add(X10,X11)),X12))) = add(X10,inverse(add(inverse(X11),X12)))].
% 31.75/32.14 [5741=demod(5701),[5739],
% 31.75/32.14 inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10)))) = add(X10,inverse(add(inverse(X11),inverse(X12))))].
% 31.75/32.14 [6580=param(3469,5741),[],
% 31.75/32.14 add(inverse(add(X10,X11)),inverse(add(X12,X10))) = inverse(add(X10,inverse(add(inverse(X11),inverse(X12)))))].
% 31.75/32.14 [6582=param(6580,74),[],
% 31.75/32.14 add(inverse(add(X10,X11)),inverse(add(X12,X11))) = inverse(add(X11,inverse(add(inverse(X10),inverse(X12)))))].
% 31.75/32.14 [6586=param(5439,6582),[3469,3469,12],
% 31.75/32.14 thmtrue = thmfalse].
% 31.75/32.14 % SZS output end CNFRefutation
% 31.75/32.14 Space: 140429 KB
%------------------------------------------------------------------------------