TSTP Solution File: GRP183-4 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 09:13:11 EDT 2022
% Result : Unsatisfiable 3.34s 3.75s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.11 % Command : fiesta-wrapper %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 14 04:12:42 EDT 2022
% 0.10/0.30 % CPUTime :
% 3.34/3.75 Theorem Proved.
% 3.34/3.75 % SZS status Unsatisfiable
% 3.34/3.75 % SZS output start CNFRefutation
% 3.34/3.75 [1=axiom,[],
% 3.34/3.75 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))].
% 3.34/3.75 [2=axiom,[],
% 3.34/3.75 inverse(inverse(X10)) = X10].
% 3.34/3.75 [3=axiom,[],
% 3.34/3.75 inverse(identity) = identity].
% 3.34/3.75 [4=axiom,[],
% 3.34/3.75 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.34/3.75 [5=axiom,[],
% 3.34/3.75 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.34/3.75 [6=axiom,[],
% 3.34/3.75 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.34/3.75 [7=axiom,[],
% 3.34/3.75 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.34/3.75 [8=axiom,[],
% 3.34/3.75 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10].
% 3.34/3.75 [9=axiom,[],
% 3.34/3.75 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 3.34/3.75 [12=axiom,[],
% 3.34/3.75 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 3.34/3.75 [13=axiom,[],
% 3.34/3.75 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.34/3.75 [14=axiom,[],
% 3.34/3.75 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 3.34/3.75 [15=axiom,[],
% 3.34/3.75 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 3.34/3.75 [16=axiom,[],
% 3.34/3.75 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 3.34/3.75 [17=axiom,[],
% 3.34/3.75 multiply(inverse(X10),X10) = identity].
% 3.34/3.75 [18=axiom,[],
% 3.34/3.75 multiply(identity,X10) = X10].
% 3.34/3.75 [19=axiom,[],
% 3.34/3.75 thtop(X10,X10) = thmfalse].
% 3.34/3.75 [20=axiom,[14],
% 3.34/3.75 thtop(greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(identity,inverse(a))),identity) = thmtrue].
% 3.34/3.75 [23=param(1,3),[18],
% 3.34/3.75 inverse(multiply(X10,identity)) = inverse(X10)].
% 3.34/3.75 [25=param(1,2),[],
% 3.34/3.75 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))].
% 3.34/3.75 [28=param(17,1),[-25],
% 3.34/3.75 multiply(X10,inverse(X10)) = identity].
% 3.34/3.75 [30=param(28,4),[],
% 3.34/3.75 greatest_lower_bound(multiply(X10,inverse(greatest_lower_bound(X10,X11))),multiply(X11,inverse(greatest_lower_bound(X10,X11)))) = identity].
% 3.34/3.75 [31=param(5,28),[],
% 3.34/3.75 least_upper_bound(multiply(X10,inverse(least_upper_bound(X10,X11))),multiply(X11,inverse(least_upper_bound(X10,X11)))) = identity].
% 3.34/3.75 [33=param(2,23),[2],
% 3.34/3.75 multiply(X10,identity) = X10].
% 3.34/3.75 [34=param(9,15),[],
% 3.34/3.75 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 3.34/3.75 [36=param(8,12),[],
% 3.34/3.75 greatest_lower_bound(least_upper_bound(X10,X11),least_upper_bound(X10,least_upper_bound(X11,X12))) = least_upper_bound(X10,X11)].
% 3.34/3.75 [42=param(8,14),[],
% 3.34/3.75 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10].
% 3.34/3.75 [48=param(34,42),[14],
% 3.34/3.75 least_upper_bound(X10,least_upper_bound(X11,X10)) = least_upper_bound(X11,X10)].
% 3.34/3.75 [52=param(13,15),[],
% 3.34/3.75 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))].
% 3.34/3.75 [64=param(16,17),[18],
% 3.34/3.75 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 3.34/3.75 [66=param(16,28),[18],
% 3.34/3.75 multiply(X11,multiply(inverse(X11),X10)) = X10].
% 3.34/3.75 [67=param(66,1),[],
% 3.34/3.75 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)].
% 3.34/3.75 [76=param(67,4),[],
% 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))].
% 3.34/3.75 [77=param(67,5),[],
% 3.34/3.75 multiply(X10,inverse(least_upper_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(least_upper_bound(X11,X12))].
% 3.34/3.75 [122=param(31,18),[14],
% 3.34/3.75 least_upper_bound(inverse(least_upper_bound(X10,identity)),multiply(X10,inverse(least_upper_bound(X10,identity)))) = identity].
% 3.34/3.75 [124=param(48,31),[14,31],
% 3.34/3.75 least_upper_bound(identity,multiply(X10,inverse(least_upper_bound(X11,X10)))) = identity].
% 3.34/3.75 [126=param(7,124),[33,33],
% 3.34/3.75 least_upper_bound(X10,multiply(X10,multiply(X11,inverse(least_upper_bound(X12,X11))))) = X10].
% 3.34/3.75 [370=param(76,17),[],
% 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.34/3.75 [371=param(76,18),[],
% 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(X10,multiply(X11,X10)))) = inverse(greatest_lower_bound(identity,X11))].
% 3.34/3.75 [381=param(77,18),[],
% 3.34/3.75 multiply(X10,inverse(least_upper_bound(X10,multiply(X11,X10)))) = inverse(least_upper_bound(identity,X11))].
% 3.34/3.75 [382=param(381,17),[],
% 3.34/3.75 multiply(X10,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.34/3.75 [383=demod(122),[382],
% 3.34/3.75 least_upper_bound(inverse(least_upper_bound(X10,identity)),inverse(least_upper_bound(identity,inverse(X10)))) = identity].
% 3.34/3.75 [393=param(371,17),[],
% 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(identity,inverse(X10)))].
% 3.34/3.75 [402=param(30,393),[18],
% 3.34/3.75 greatest_lower_bound(inverse(greatest_lower_bound(identity,inverse(X10))),inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.34/3.75 [413=param(34,402),[14],
% 3.34/3.75 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))].
% 3.34/3.75 [421=param(8,413),[],
% 3.34/3.75 greatest_lower_bound(identity,inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.34/3.75 [423=param(36,413),[],
% 3.34/3.75 greatest_lower_bound(least_upper_bound(X10,identity),least_upper_bound(X10,inverse(greatest_lower_bound(X11,identity)))) = least_upper_bound(X10,identity)].
% 3.34/3.75 [431=param(6,421),[33,33],
% 3.34/3.75 greatest_lower_bound(X10,multiply(X10,inverse(greatest_lower_bound(X11,identity)))) = X10].
% 3.34/3.75 [439=param(431,393),[],
% 3.34/3.75 greatest_lower_bound(X10,inverse(greatest_lower_bound(identity,inverse(X10)))) = X10].
% 3.34/3.75 [440=param(439,2),[],
% 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(identity,X10))) = inverse(X10)].
% 3.34/3.75 [457=param(440,42),[3,15],
% 3.34/3.75 greatest_lower_bound(identity,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(X10,identity))].
% 3.34/3.75 [760=param(126,64),[],
% 3.34/3.75 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)].
% 3.34/3.75 [761=param(126,66),[],
% 3.34/3.75 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10].
% 3.34/3.75 [769=param(761,14),[],
% 3.34/3.75 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10].
% 3.34/3.75 [785=param(769,2),[],
% 3.34/3.75 least_upper_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(X10)].
% 3.34/3.75 [816=param(42,785),[15],
% 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(least_upper_bound(X10,X11))].
% 3.34/3.75 [832=param(42,760),[15],
% 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(least_upper_bound(X11,X10))].
% 3.34/3.75 [842=param(832,34),[15,34],
% 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(X10)].
% 3.34/3.75 [859=param(842,2),[2],
% 3.34/3.75 greatest_lower_bound(X10,inverse(greatest_lower_bound(X11,inverse(X10)))) = X10].
% 3.34/3.75 [871=param(859,15),[],
% 3.34/3.75 greatest_lower_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = X10].
% 3.34/3.75 [888=param(34,871),[14],
% 3.34/3.75 least_upper_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.34/3.75 [3049=param(423,888),[15],
% 3.34/3.75 greatest_lower_bound(least_upper_bound(X10,identity),inverse(greatest_lower_bound(identity,inverse(X10)))) = least_upper_bound(X10,identity)].
% 3.34/3.75 [3052=param(842,3049),[2,15,52,15,457,816,2],
% 3.34/3.75 greatest_lower_bound(identity,inverse(X10)) = inverse(least_upper_bound(X10,identity))].
% 3.34/3.75 [3080=param(3052,2),[14],
% 3.34/3.75 greatest_lower_bound(identity,X10) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.34/3.75 [3087=demod(370),[3080,2,7,33,67],
% 3.34/3.75 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))].
% 3.34/3.75 [3579=param(3087,2),[],
% 3.34/3.75 inverse(greatest_lower_bound(X10,X11)) = least_upper_bound(inverse(X10),inverse(X11))].
% 3.34/3.75 [3638=param(2,3579),[],
% 3.34/3.75 greatest_lower_bound(X10,X11) = inverse(least_upper_bound(inverse(X10),inverse(X11)))].
% 3.34/3.75 [4235=param(20,14),[14,3638,383,3,19],
% 3.34/3.75 thmtrue = thmfalse].
% 3.34/3.75 % SZS output end CNFRefutation
% 3.34/3.75 Space: 18919 KB
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