TSTP Solution File: GRP167-4 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP167-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 09:13:01 EDT 2022
% Result : Unsatisfiable 3.28s 3.66s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GRP167-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.13 % Command : fiesta-wrapper %s
% 0.13/0.34 % Computer : n020.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 : Mon Jun 13 19:32:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.28/3.66 Theorem Proved.
% 3.28/3.66 % SZS status Unsatisfiable
% 3.28/3.66 % SZS output start CNFRefutation
% 3.28/3.66 [1=axiom,[],
% 3.28/3.66 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))].
% 3.28/3.66 [2=axiom,[],
% 3.28/3.66 inverse(inverse(X10)) = X10].
% 3.28/3.66 [3=axiom,[],
% 3.28/3.66 inverse(identity) = identity].
% 3.28/3.66 [4=axiom,[],
% 3.28/3.66 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.28/3.66 [5=axiom,[],
% 3.28/3.66 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.28/3.66 [6=axiom,[],
% 3.28/3.66 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.28/3.66 [7=axiom,[],
% 3.28/3.66 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.28/3.66 [8=axiom,[],
% 3.28/3.66 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10].
% 3.28/3.66 [9=axiom,[],
% 3.28/3.66 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 3.28/3.66 [12=axiom,[],
% 3.28/3.66 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 3.28/3.66 [13=axiom,[],
% 3.28/3.66 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.28/3.66 [14=axiom,[],
% 3.28/3.66 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 3.28/3.66 [15=axiom,[],
% 3.28/3.66 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 3.28/3.66 [16=axiom,[],
% 3.28/3.66 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 3.28/3.66 [17=axiom,[],
% 3.28/3.66 multiply(inverse(X10),X10) = identity].
% 3.28/3.66 [18=axiom,[],
% 3.28/3.66 multiply(identity,X10) = X10].
% 3.28/3.66 [19=axiom,[],
% 3.28/3.66 thtop(X10,X10) = thmfalse].
% 3.28/3.66 [20=axiom,[5,6,6,18,18,14],
% 3.28/3.66 thtop(a,least_upper_bound(greatest_lower_bound(a,identity),greatest_lower_bound(multiply(a,a),multiply(a,identity)))) = thmtrue].
% 3.28/3.66 [23=param(1,3),[18],
% 3.28/3.66 inverse(multiply(X10,identity)) = inverse(X10)].
% 3.28/3.66 [25=param(1,2),[],
% 3.28/3.66 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))].
% 3.28/3.66 [26=param(1,2),[],
% 3.28/3.66 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))].
% 3.28/3.66 [28=param(17,1),[-25],
% 3.28/3.66 multiply(X10,inverse(X10)) = identity].
% 3.28/3.66 [30=param(28,4),[],
% 3.28/3.66 greatest_lower_bound(multiply(X10,inverse(greatest_lower_bound(X10,X11))),multiply(X11,inverse(greatest_lower_bound(X10,X11)))) = identity].
% 3.28/3.66 [33=param(2,23),[2],
% 3.28/3.66 multiply(X10,identity) = X10].
% 3.28/3.66 [35=param(9,15),[],
% 3.28/3.66 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 3.28/3.66 [37=param(8,14),[],
% 3.28/3.66 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10].
% 3.28/3.66 [39=param(37,35),[15],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(X11,X10)) = greatest_lower_bound(X11,X10)].
% 3.28/3.66 [41=param(8,12),[],
% 3.28/3.66 greatest_lower_bound(least_upper_bound(X10,X11),least_upper_bound(X10,least_upper_bound(X11,X12))) = least_upper_bound(X10,X11)].
% 3.28/3.66 [43=param(12,9),[],
% 3.28/3.66 least_upper_bound(X10,least_upper_bound(greatest_lower_bound(X10,X12),X11)) = least_upper_bound(X10,X11)].
% 3.28/3.66 [48=param(37,12),[],
% 3.28/3.66 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) = X10].
% 3.28/3.66 [53=param(9,13),[],
% 3.28/3.66 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)].
% 3.28/3.66 [54=param(13,15),[],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))].
% 3.28/3.66 [55=param(13,15),[13],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X11,greatest_lower_bound(X10,X12))].
% 3.28/3.66 [56=param(35,13),[],
% 3.28/3.66 least_upper_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,X10))) = X10].
% 3.28/3.66 [58=param(13,37),[],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(least_upper_bound(X12,X10),X11)) = greatest_lower_bound(X10,X11)].
% 3.28/3.66 [60=param(13,39),[13,13],
% 3.28/3.66 greatest_lower_bound(X11,greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.28/3.66 [61=param(1,16),[],
% 3.28/3.66 inverse(multiply(X10,multiply(X11,X12))) = multiply(inverse(X12),inverse(multiply(X10,X11)))].
% 3.28/3.66 [63=param(16,17),[18],
% 3.28/3.66 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 3.28/3.66 [65=param(16,28),[18],
% 3.28/3.66 multiply(X11,multiply(inverse(X11),X10)) = X10].
% 3.28/3.66 [66=param(65,1),[],
% 3.28/3.66 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)].
% 3.28/3.66 [72=param(66,4),[],
% 3.28/3.66 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))].
% 3.28/3.66 [73=param(66,5),[],
% 3.28/3.66 multiply(X10,inverse(least_upper_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(least_upper_bound(X11,X12))].
% 3.28/3.66 [80=param(56,15),[13],
% 3.28/3.66 least_upper_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X10,X12))) = X10].
% 3.28/3.66 [81=param(37,56),[15],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,X10))) = greatest_lower_bound(X11,greatest_lower_bound(X12,X10))].
% 3.28/3.66 [89=param(48,9),[13],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(X11,least_upper_bound(X12,X10))) = greatest_lower_bound(X10,X11)].
% 3.28/3.66 [93=param(48,14),[12],
% 3.28/3.66 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X10,X12))) = X10].
% 3.28/3.66 [180=param(53,39),[],
% 3.28/3.66 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X11,X10)) = greatest_lower_bound(X10,X11)].
% 3.28/3.66 [188=param(89,180),[13,60,81,13],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X11,X10))].
% 3.28/3.66 [341=param(72,17),[],
% 3.28/3.66 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.28/3.66 [342=param(72,18),[],
% 3.28/3.66 multiply(X10,inverse(greatest_lower_bound(X10,multiply(X11,X10)))) = inverse(greatest_lower_bound(identity,X11))].
% 3.28/3.66 [352=param(73,18),[],
% 3.28/3.66 multiply(X10,inverse(least_upper_bound(X10,multiply(X11,X10)))) = inverse(least_upper_bound(identity,X11))].
% 3.28/3.66 [353=param(352,17),[],
% 3.28/3.66 multiply(X10,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.28/3.66 [356=param(61,352),[2,5,66,16,66],
% 3.28/3.66 inverse(multiply(X10,inverse(least_upper_bound(identity,X11)))) = least_upper_bound(inverse(X10),multiply(X11,inverse(X10)))].
% 3.28/3.66 [363=param(66,353),[2,7,26,3,7,18,33,-1,7,33,14],
% 3.28/3.66 least_upper_bound(inverse(least_upper_bound(X10,identity)),inverse(least_upper_bound(X10,multiply(X10,X10)))) = inverse(X10)].
% 3.28/3.66 [364=param(342,17),[],
% 3.28/3.66 multiply(X10,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(identity,inverse(X10)))].
% 3.28/3.66 [373=param(30,364),[18],
% 3.28/3.66 greatest_lower_bound(inverse(greatest_lower_bound(identity,inverse(X10))),inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.28/3.66 [382=param(35,373),[14],
% 3.28/3.66 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))].
% 3.28/3.66 [390=param(8,382),[],
% 3.28/3.66 greatest_lower_bound(identity,inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.28/3.66 [391=param(41,382),[],
% 3.28/3.66 greatest_lower_bound(least_upper_bound(X10,identity),least_upper_bound(X10,inverse(greatest_lower_bound(X11,identity)))) = least_upper_bound(X10,identity)].
% 3.28/3.66 [399=param(6,390),[33,33],
% 3.28/3.66 greatest_lower_bound(X10,multiply(X10,inverse(greatest_lower_bound(X11,identity)))) = X10].
% 3.28/3.66 [407=param(399,364),[],
% 3.28/3.66 greatest_lower_bound(X10,inverse(greatest_lower_bound(identity,inverse(X10)))) = X10].
% 3.28/3.66 [410=param(407,2),[],
% 3.28/3.66 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(identity,X10))) = inverse(X10)].
% 3.28/3.66 [427=param(410,37),[3,15],
% 3.28/3.66 greatest_lower_bound(identity,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(X10,identity))].
% 3.28/3.66 [435=param(9,427),[],
% 3.28/3.66 least_upper_bound(identity,inverse(least_upper_bound(X10,identity))) = identity].
% 3.28/3.66 [443=param(7,435),[33,33],
% 3.28/3.66 least_upper_bound(X10,multiply(X10,inverse(least_upper_bound(X11,identity)))) = X10].
% 3.28/3.66 [499=param(443,353),[],
% 3.28/3.66 least_upper_bound(X10,inverse(least_upper_bound(identity,inverse(X10)))) = X10].
% 3.28/3.66 [502=param(499,2),[],
% 3.28/3.66 least_upper_bound(inverse(X10),inverse(least_upper_bound(identity,X10))) = inverse(X10)].
% 3.28/3.66 [518=param(502,9),[3,14],
% 3.28/3.66 least_upper_bound(identity,inverse(greatest_lower_bound(identity,X10))) = inverse(greatest_lower_bound(identity,X10))].
% 3.28/3.66 [534=param(8,518),[],
% 3.28/3.66 greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X10))) = identity].
% 3.28/3.66 [543=param(4,534),[18,18],
% 3.28/3.66 greatest_lower_bound(X10,multiply(inverse(greatest_lower_bound(identity,X11)),X10)) = X10].
% 3.28/3.66 [567=param(543,1),[6,33],
% 3.28/3.66 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X10,multiply(X10,X11)))) = inverse(X10)].
% 3.28/3.66 [822=param(567,63),[2,2],
% 3.28/3.66 greatest_lower_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = X10].
% 3.28/3.66 [823=param(567,65),[],
% 3.28/3.66 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X10,X11))) = inverse(X10)].
% 3.28/3.66 [829=param(822,15),[],
% 3.28/3.66 greatest_lower_bound(X10,inverse(greatest_lower_bound(X11,inverse(X10)))) = X10].
% 3.28/3.66 [830=param(35,822),[14],
% 3.28/3.66 least_upper_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.28/3.66 [844=param(829,2),[],
% 3.28/3.66 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(X10)].
% 3.28/3.66 [848=param(13,829),[],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(inverse(greatest_lower_bound(X12,inverse(X10))),X11)) = greatest_lower_bound(X10,X11)].
% 3.28/3.66 [861=param(844,8),[15],
% 3.28/3.66 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(least_upper_bound(X10,X11))].
% 3.28/3.66 [865=param(844,37),[15],
% 3.28/3.66 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(least_upper_bound(X11,X10))].
% 3.28/3.66 [886=param(9,865),[],
% 3.28/3.66 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)].
% 3.28/3.66 [1307=param(848,373),[],
% 3.28/3.66 greatest_lower_bound(X10,inverse(greatest_lower_bound(X10,identity))) = greatest_lower_bound(X10,identity)].
% 3.28/3.66 [1317=param(13,1307),[13],
% 3.28/3.66 greatest_lower_bound(X10,greatest_lower_bound(inverse(greatest_lower_bound(X10,identity)),X11)) = greatest_lower_bound(X10,greatest_lower_bound(identity,X11))].
% 3.28/3.66 [1319=param(55,1307),[],
% 3.28/3.66 greatest_lower_bound(X11,greatest_lower_bound(X10,inverse(greatest_lower_bound(X11,identity)))) = greatest_lower_bound(X10,greatest_lower_bound(X11,identity))].
% 3.28/3.66 [1326=param(1319,823),[54,15],
% 3.28/3.66 greatest_lower_bound(identity,greatest_lower_bound(X10,inverse(X10))) = greatest_lower_bound(X10,inverse(X10))].
% 3.28/3.66 [1334=param(80,1326),[],
% 3.28/3.66 least_upper_bound(identity,greatest_lower_bound(X10,greatest_lower_bound(X11,inverse(X11)))) = identity].
% 3.28/3.66 [1411=param(1334,58),[],
% 3.28/3.66 least_upper_bound(identity,greatest_lower_bound(X10,inverse(least_upper_bound(X11,X10)))) = identity].
% 3.28/3.66 [1416=param(1334,188),[],
% 3.28/3.66 least_upper_bound(identity,greatest_lower_bound(inverse(X10),greatest_lower_bound(X10,X11))) = identity].
% 3.28/3.66 [1425=param(865,1416),[3,15,1416,3],
% 3.28/3.66 greatest_lower_bound(identity,inverse(greatest_lower_bound(inverse(X10),greatest_lower_bound(X10,X11)))) = identity].
% 3.28/3.66 [1434=param(1411,861),[],
% 3.28/3.66 least_upper_bound(identity,inverse(least_upper_bound(X10,inverse(X10)))) = identity].
% 3.28/3.66 [1448=param(886,1434),[2,3,14,2],
% 3.28/3.66 least_upper_bound(identity,least_upper_bound(X10,inverse(X10))) = least_upper_bound(X10,inverse(X10))].
% 3.28/3.66 [1472=param(93,1448),[],
% 3.28/3.66 greatest_lower_bound(identity,least_upper_bound(X10,least_upper_bound(X11,inverse(X11)))) = identity].
% 3.28/3.66 [1509=param(1472,43),[],
% 3.28/3.66 greatest_lower_bound(identity,least_upper_bound(X10,inverse(greatest_lower_bound(X10,X11)))) = identity].
% 3.28/3.66 [1554=param(13,1509),[],
% 3.28/3.66 greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(X11,inverse(greatest_lower_bound(X11,X12))),X10)) = greatest_lower_bound(identity,X10)].
% 3.28/3.66 [1732=param(188,1425),[],
% 3.28/3.66 greatest_lower_bound(X10,identity) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X11),greatest_lower_bound(X11,X12))),greatest_lower_bound(identity,X10))].
% 3.28/3.66 [2194=param(1317,55),[],
% 3.28/3.66 greatest_lower_bound(inverse(greatest_lower_bound(X10,identity)),greatest_lower_bound(X10,X11)) = greatest_lower_bound(X10,greatest_lower_bound(identity,X11))].
% 3.28/3.66 [2195=param(2194,15),[],
% 3.28/3.66 greatest_lower_bound(inverse(greatest_lower_bound(identity,X10)),greatest_lower_bound(X10,X11)) = greatest_lower_bound(X10,greatest_lower_bound(identity,X11))].
% 3.28/3.66 [2206=param(2195,1509),[3,1554],
% 3.28/3.66 greatest_lower_bound(least_upper_bound(X11,inverse(greatest_lower_bound(X11,X12))),greatest_lower_bound(identity,X10)) = greatest_lower_bound(identity,X10)].
% 3.28/3.66 [2598=param(363,356),[14,2,2],
% 3.28/3.66 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),multiply(X10,inverse(least_upper_bound(identity,inverse(X10))))) = X10].
% 3.28/3.66 [2774=param(391,830),[15],
% 3.28/3.66 greatest_lower_bound(least_upper_bound(X10,identity),inverse(greatest_lower_bound(identity,inverse(X10)))) = least_upper_bound(X10,identity)].
% 3.28/3.66 [2777=param(829,2774),[15,54,15,427,861],
% 3.28/3.66 greatest_lower_bound(identity,inverse(X10)) = inverse(least_upper_bound(X10,identity))].
% 3.28/3.66 [2803=param(2777,2),[14],
% 3.28/3.66 greatest_lower_bound(identity,X10) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.28/3.66 [2810=demod(341),[2803,2,7,33,66],
% 3.28/3.66 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))].
% 3.28/3.66 [2883=demod(2206),[2803,2803],
% 3.28/3.66 greatest_lower_bound(least_upper_bound(X10,inverse(greatest_lower_bound(X10,X11))),inverse(least_upper_bound(identity,inverse(X12)))) = inverse(least_upper_bound(identity,inverse(X12)))].
% 3.28/3.66 [2895=demod(1732),[2810,2803,2883],
% 3.28/3.66 greatest_lower_bound(X10,identity) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.28/3.66 [3247=param(6,2895),[33,15],
% 3.28/3.66 multiply(X10,inverse(least_upper_bound(identity,inverse(X11)))) = greatest_lower_bound(X10,multiply(X10,X11))].
% 3.28/3.66 [3249=demod(2598),[3247],
% 3.28/3.66 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),greatest_lower_bound(X10,multiply(X10,X10))) = X10].
% 3.28/3.66 [3250=param(20,2895),[33,15,3249,19],
% 3.28/3.66 thmtrue = thmfalse].
% 3.28/3.66 % SZS output end CNFRefutation
% 3.28/3.66 Space: 16242 KB
%------------------------------------------------------------------------------