TSTP Solution File: GRP486-1 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n020.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 09:14:14 EDT 2022
% Result : Unsatisfiable 0.73s 1.16s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n020.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 10:31:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.16 Theorem Proved.
% 0.73/1.16 % SZS status Unsatisfiable
% 0.73/1.16 % SZS output start CNFRefutation
% 0.73/1.16 [1=axiom,[],
% 0.73/1.16 double_divide(X10,inverse(X10)) = identity].
% 0.73/1.16 [2=axiom,[],
% 0.73/1.16 double_divide(X10,identity) = inverse(X10)].
% 0.73/1.16 [3=axiom,[2],
% 0.73/1.16 inverse(double_divide(X11,X10)) = multiply(X10,X11)].
% 0.73/1.16 [4=axiom,[2,2],
% 0.73/1.16 double_divide(double_divide(X10,double_divide(double_divide(double_divide(X10,X11),X12),inverse(X11))),inverse(identity)) = X12].
% 0.73/1.16 [5=axiom,[],
% 0.73/1.16 thtop(X10,X10) = thmfalse].
% 0.73/1.16 [6=axiom,[],
% 0.73/1.16 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue].
% 0.73/1.16 [7=param(3,1),[],
% 0.73/1.16 multiply(inverse(X10),X10) = inverse(identity)].
% 0.73/1.16 [9=param(3,2),[],
% 0.73/1.16 multiply(identity,X10) = inverse(inverse(X10))].
% 0.73/1.16 [10=param(4,1),[3],
% 0.73/1.16 double_divide(double_divide(X10,double_divide(identity,inverse(X11))),inverse(identity)) = multiply(X11,X10)].
% 0.73/1.16 [11=param(4,1),[],
% 0.73/1.16 double_divide(double_divide(X10,double_divide(double_divide(identity,X11),inverse(inverse(X10)))),inverse(identity)) = X11].
% 0.73/1.16 [12=param(4,2),[3],
% 0.73/1.16 double_divide(double_divide(X10,double_divide(multiply(X11,X10),inverse(X11))),inverse(identity)) = identity].
% 0.73/1.16 [15=param(10,1),[2,9],
% 0.73/1.16 double_divide(inverse(X10),inverse(identity)) = inverse(inverse(X10))].
% 0.73/1.16 [17=param(4,10),[2],
% 0.73/1.16 double_divide(double_divide(X10,multiply(X11,inverse(X10))),inverse(identity)) = double_divide(identity,inverse(X11))].
% 0.73/1.16 [18=param(11,2),[],
% 0.73/1.16 double_divide(double_divide(X10,double_divide(inverse(identity),inverse(inverse(X10)))),inverse(identity)) = identity].
% 0.73/1.16 [20=param(4,11),[2],
% 0.73/1.16 double_divide(double_divide(X10,X11),inverse(identity)) = double_divide(double_divide(identity,X11),inverse(inverse(inverse(X10))))].
% 0.73/1.16 [22=param(15,3),[3],
% 0.73/1.16 double_divide(multiply(X10,X11),inverse(identity)) = inverse(multiply(X10,X11))].
% 0.73/1.16 [23=param(3,15),[],
% 0.73/1.16 multiply(inverse(identity),inverse(X10)) = inverse(inverse(inverse(X10)))].
% 0.73/1.16 [25=param(4,12),[2,15,2],
% 0.73/1.16 double_divide(multiply(X11,inverse(X10)),inverse(X11)) = inverse(inverse(X10))].
% 0.73/1.16 [28=param(3,25),[],
% 0.73/1.16 multiply(inverse(X11),multiply(X11,inverse(X10))) = inverse(inverse(inverse(X10)))].
% 0.73/1.16 [29=param(25,22),[9],
% 0.73/1.16 inverse(inverse(inverse(inverse(X10)))) = inverse(inverse(X10))].
% 0.73/1.16 [31=param(29,3),[3],
% 0.73/1.16 inverse(inverse(inverse(multiply(X10,X11)))) = inverse(multiply(X10,X11))].
% 0.73/1.16 [32=param(10,29),[10],
% 0.73/1.16 multiply(inverse(inverse(inverse(X10))),X11) = multiply(inverse(X10),X11)].
% 0.73/1.16 [33=param(3,17),[3],
% 0.73/1.16 multiply(inverse(identity),double_divide(X11,multiply(X10,inverse(X11)))) = multiply(inverse(X10),identity)].
% 0.73/1.16 [34=param(4,17),[10,2],
% 0.73/1.16 multiply(X10,inverse(inverse(X11))) = multiply(X10,X11)].
% 0.73/1.16 [37=param(34,23),[29],
% 0.73/1.16 multiply(inverse(identity),X10) = inverse(inverse(X10))].
% 0.73/1.16 [40=demod(33),[37,3],
% 0.73/1.16 inverse(multiply(multiply(X10,inverse(X11)),X11)) = multiply(inverse(X10),identity)].
% 0.73/1.16 [42=param(37,7),[],
% 0.73/1.16 inverse(inverse(identity)) = inverse(identity)].
% 0.73/1.16 [44=param(18,1),[2,15,42],
% 0.73/1.16 inverse(identity) = identity].
% 0.73/1.16 [47=demod(20),[44,2,3],
% 0.73/1.16 double_divide(double_divide(identity,X10),inverse(inverse(inverse(X11)))) = multiply(X10,X11)].
% 0.73/1.16 [50=demod(17),[44,2,3],
% 0.73/1.16 multiply(multiply(X10,inverse(X11)),X11) = double_divide(identity,inverse(X10))].
% 0.73/1.16 [52=demod(11),[44,2,3],
% 0.73/1.16 multiply(double_divide(double_divide(identity,X10),inverse(inverse(X11))),X11) = X10].
% 0.73/1.16 [53=demod(10),[44,2,3],
% 0.73/1.16 multiply(double_divide(identity,inverse(X10)),X11) = multiply(X10,X11)].
% 0.73/1.16 [54=demod(4),[44,2,3],
% 0.73/1.16 multiply(double_divide(double_divide(double_divide(X10,X11),X12),inverse(X11)),X10) = X12].
% 0.73/1.16 [55=param(53,3),[],
% 0.73/1.16 multiply(double_divide(identity,multiply(X10,X11)),X12) = multiply(double_divide(X11,X10),X12)].
% 0.73/1.16 [57=demod(52),[-55],
% 0.73/1.16 multiply(double_divide(identity,multiply(inverse(inverse(X10)),double_divide(identity,X11))),X10) = X11].
% 0.73/1.16 [58=demod(54),[-55],
% 0.73/1.16 multiply(double_divide(identity,multiply(inverse(X10),double_divide(double_divide(X11,X10),X12))),X11) = X12].
% 0.73/1.16 [71=param(53,40),[55,53],
% 0.73/1.16 multiply(multiply(multiply(X10,inverse(X12)),X12),X11) = multiply(X10,X11)].
% 0.73/1.16 [72=param(47,1),[44,9],
% 0.73/1.16 double_divide(identity,inverse(inverse(inverse(X10)))) = inverse(inverse(X10))].
% 0.73/1.16 [73=param(47,3),[],
% 0.73/1.16 double_divide(double_divide(identity,X10),inverse(inverse(multiply(X11,X12)))) = multiply(X10,double_divide(X12,X11))].
% 0.73/1.16 [74=param(3,47),[32],
% 0.73/1.16 inverse(multiply(X10,X11)) = multiply(inverse(X11),double_divide(identity,X10))].
% 0.73/1.16 [75=param(47,29),[],
% 0.73/1.16 double_divide(double_divide(identity,X10),inverse(inverse(X11))) = multiply(X10,inverse(X11))].
% 0.73/1.16 [76=demod(73),[75],
% 0.73/1.16 multiply(X10,double_divide(X12,X11)) = multiply(X10,inverse(multiply(X11,X12)))].
% 0.73/1.16 [77=demod(58),[76,76],
% 0.73/1.16 multiply(double_divide(identity,multiply(inverse(X10),inverse(multiply(X11,inverse(multiply(X10,X12)))))),X12) = X11].
% 0.73/1.16 [78=demod(57),[76],
% 0.73/1.16 multiply(double_divide(identity,multiply(inverse(inverse(X10)),inverse(multiply(X11,identity)))),X10) = X11].
% 0.73/1.16 [79=demod(74),[76],
% 0.73/1.16 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(multiply(X10,identity)))].
% 0.73/1.16 [81=param(3,72),[32],
% 0.73/1.16 multiply(inverse(X10),identity) = inverse(inverse(inverse(X10)))].
% 0.73/1.16 [84=demod(40),[81],
% 0.73/1.16 inverse(multiply(multiply(X10,inverse(X11)),X11)) = inverse(inverse(inverse(X10)))].
% 0.73/1.16 [86=param(81,3),[3],
% 0.73/1.16 multiply(multiply(X10,X11),identity) = inverse(inverse(multiply(X10,X11)))].
% 0.73/1.16 [91=param(86,50),[44],
% 0.73/1.16 double_divide(identity,inverse(X10)) = inverse(inverse(multiply(X10,identity)))].
% 0.73/1.16 [93=demod(50),[91],
% 0.73/1.16 multiply(multiply(X10,inverse(X11)),X11) = inverse(inverse(multiply(X10,identity)))].
% 0.73/1.16 [94=demod(84),[93,31],
% 0.73/1.16 inverse(multiply(X10,identity)) = inverse(inverse(inverse(X10)))].
% 0.73/1.16 [95=demod(93),[94,29],
% 0.73/1.16 multiply(multiply(X10,inverse(X11)),X11) = inverse(inverse(X10))].
% 0.73/1.16 [96=demod(91),[94,29],
% 0.73/1.16 double_divide(identity,inverse(X10)) = inverse(inverse(X10))].
% 0.73/1.16 [97=demod(79),[94,34],
% 0.73/1.16 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))].
% 0.73/1.16 [98=demod(78),[94,34],
% 0.73/1.16 multiply(double_divide(identity,multiply(inverse(inverse(X10)),inverse(X11))),X10) = X11].
% 0.73/1.16 [99=demod(71),[95],
% 0.73/1.16 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)].
% 0.73/1.16 [100=demod(98),[99],
% 0.73/1.16 multiply(double_divide(identity,multiply(X10,inverse(X11))),X10) = X11].
% 0.73/1.16 [107=param(55,86),[96,31],
% 0.73/1.16 multiply(double_divide(identity,multiply(X10,X11)),X12) = multiply(inverse(multiply(X10,X11)),X12)].
% 0.73/1.16 [109=demod(100),[107],
% 0.73/1.16 multiply(inverse(multiply(X10,inverse(X11))),X10) = X11].
% 0.73/1.16 [110=demod(55),[107],
% 0.73/1.16 multiply(double_divide(X11,X10),X12) = multiply(inverse(multiply(X10,X11)),X12)].
% 0.73/1.16 [112=demod(77),[110,86,31],
% 0.73/1.16 multiply(inverse(multiply(inverse(X10),inverse(multiply(X11,inverse(multiply(X10,X12)))))),X12) = X11].
% 0.73/1.16 [119=param(75,96),[],
% 0.73/1.16 double_divide(inverse(inverse(X10)),inverse(inverse(X11))) = multiply(inverse(X10),inverse(X11))].
% 0.73/1.16 [121=param(99,28),[],
% 0.73/1.16 multiply(X10,multiply(inverse(X10),inverse(X11))) = inverse(inverse(inverse(X11)))].
% 0.73/1.16 [122=param(99,81),[29],
% 0.73/1.16 multiply(X10,identity) = inverse(inverse(X10))].
% 0.73/1.16 [124=param(76,75),[99,76,122,34],
% 0.73/1.16 multiply(X10,multiply(X11,inverse(X12))) = multiply(X10,inverse(multiply(X12,inverse(X11))))].
% 0.73/1.16 [128=param(109,9),[29,99,122],
% 0.73/1.16 inverse(inverse(X10)) = X10].
% 0.73/1.16 [134=demod(119),[128,128],
% 0.73/1.16 double_divide(X10,X11) = multiply(inverse(X10),inverse(X11))].
% 0.73/1.16 [135=demod(110),[134],
% 0.73/1.16 multiply(multiply(inverse(X10),inverse(X11)),X12) = multiply(inverse(multiply(X11,X10)),X12)].
% 0.73/1.16 [136=demod(3),[134],
% 0.73/1.16 inverse(multiply(inverse(X10),inverse(X11))) = multiply(X11,X10)].
% 0.73/1.16 [140=demod(112),[-136,128],
% 0.73/1.16 inverse(multiply(inverse(X10),multiply(inverse(X11),inverse(multiply(X12,inverse(multiply(X11,X10))))))) = X12].
% 0.73/1.16 [144=demod(76),[134],
% 0.73/1.16 multiply(X10,multiply(inverse(X11),inverse(X12))) = multiply(X10,inverse(multiply(X12,X11)))].
% 0.73/1.16 [146=demod(121),[128],
% 0.73/1.16 multiply(X10,multiply(inverse(X10),inverse(X11))) = inverse(X11)].
% 0.73/1.16 [157=param(97,128),[],
% 0.73/1.16 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))].
% 0.73/1.16 [160=param(146,124),[128],
% 0.73/1.16 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)].
% 0.73/1.16 [161=param(160,97),[128,128],
% 0.73/1.16 multiply(inverse(X10),multiply(X10,X11)) = X11].
% 0.73/1.16 [177=param(6,136),[],
% 0.73/1.16 thtop(inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))),multiply(a3,multiply(b3,c3))) = thmtrue].
% 0.73/1.16 [187=param(140,97),[128,128,128],
% 0.73/1.16 inverse(multiply(X10,multiply(X11,inverse(multiply(X12,multiply(X10,X11)))))) = X12].
% 0.73/1.16 [192=param(128,187),[],
% 0.73/1.16 multiply(X11,multiply(X12,inverse(multiply(X10,multiply(X11,X12))))) = inverse(X10)].
% 0.73/1.16 [194=param(192,157),[128,128],
% 0.73/1.16 multiply(X10,multiply(X11,multiply(inverse(multiply(X10,X11)),X12))) = X12].
% 0.73/1.16 [208=param(194,161),[],
% 0.73/1.16 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.73/1.16 [217=demod(135),[208],
% 0.73/1.16 multiply(inverse(multiply(X11,X10)),X12) = multiply(inverse(X10),multiply(inverse(X11),X12))].
% 0.73/1.16 [221=param(144,157),[217,128,128],
% 0.73/1.16 multiply(inverse(X10),inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,X10)))].
% 0.73/1.16 [223=param(177,144),[-97,221,128,5],
% 0.73/1.16 thmtrue = thmfalse].
% 0.73/1.16 % SZS output end CNFRefutation
% 0.73/1.16 Space: 200 KB
%------------------------------------------------------------------------------