TSTP Solution File: GRP167-3 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP167-3 : 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 09:13:01 EDT 2022
% Result : Unsatisfiable 15.33s 15.78s
% Output : CNFRefutation 15.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP167-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.11 % Command : fiesta-wrapper %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Mon Jun 13 12:58:56 EDT 2022
% 0.11/0.30 % CPUTime :
% 15.33/15.78 Theorem Proved.
% 15.33/15.78 % SZS status Unsatisfiable
% 15.33/15.78 % SZS output start CNFRefutation
% 15.33/15.78 [1=axiom,[],
% 15.33/15.78 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 15.33/15.78 [2=axiom,[],
% 15.33/15.78 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))].
% 15.33/15.78 [3=axiom,[],
% 15.33/15.78 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 15.33/15.78 [4=axiom,[],
% 15.33/15.78 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 15.33/15.78 [5=axiom,[],
% 15.33/15.78 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10].
% 15.33/15.78 [6=axiom,[],
% 15.33/15.78 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 15.33/15.78 [9=axiom,[],
% 15.33/15.78 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 15.33/15.78 [10=axiom,[],
% 15.33/15.78 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 15.33/15.78 [11=axiom,[],
% 15.33/15.78 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 15.33/15.78 [12=axiom,[],
% 15.33/15.78 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 15.33/15.78 [13=axiom,[],
% 15.33/15.78 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 15.33/15.78 [14=axiom,[],
% 15.33/15.78 multiply(inverse(X10),X10) = identity].
% 15.33/15.78 [15=axiom,[],
% 15.33/15.78 multiply(identity,X10) = X10].
% 15.33/15.78 [16=axiom,[],
% 15.33/15.78 thtop(X10,X10) = thmfalse].
% 15.33/15.78 [17=axiom,[2,3,3,15,15,11],
% 15.33/15.78 thtop(a,least_upper_bound(greatest_lower_bound(a,identity),greatest_lower_bound(multiply(a,a),multiply(a,identity)))) = thmtrue].
% 15.33/15.78 [18=param(6,12),[],
% 15.33/15.78 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 15.33/15.78 [21=param(5,11),[],
% 15.33/15.78 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10].
% 15.33/15.78 [22=param(4,14),[],
% 15.33/15.78 least_upper_bound(multiply(inverse(least_upper_bound(X10,X11)),X10),multiply(inverse(least_upper_bound(X10,X11)),X11)) = identity].
% 15.33/15.78 [38=param(6,10),[],
% 15.33/15.78 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)].
% 15.33/15.78 [53=param(13,14),[15],
% 15.33/15.78 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 15.33/15.78 [55=param(53,14),[],
% 15.33/15.78 multiply(inverse(inverse(X10)),identity) = X10].
% 15.33/15.78 [57=param(53,53),[],
% 15.33/15.78 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)].
% 15.33/15.78 [58=demod(55),[57],
% 15.33/15.78 multiply(X10,identity) = X10].
% 15.33/15.78 [59=param(58,14),[],
% 15.33/15.78 inverse(identity) = identity].
% 15.33/15.78 [61=param(57,14),[],
% 15.33/15.78 multiply(X10,inverse(X10)) = identity].
% 15.33/15.78 [63=param(57,58),[58],
% 15.33/15.78 inverse(inverse(X10)) = X10].
% 15.33/15.78 [71=param(61,13),[],
% 15.33/15.78 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity].
% 15.33/15.78 [75=param(22,58),[],
% 15.33/15.78 least_upper_bound(inverse(least_upper_bound(identity,X10)),multiply(inverse(least_upper_bound(identity,X10)),X10)) = identity].
% 15.33/15.78 [123=param(53,71),[58],
% 15.33/15.78 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)].
% 15.33/15.78 [131=param(123,1),[],
% 15.33/15.78 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))].
% 15.33/15.78 [134=param(123,13),[],
% 15.33/15.78 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))].
% 15.33/15.78 [136=param(53,123),[],
% 15.33/15.78 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))].
% 15.33/15.78 [151=param(136,63),[],
% 15.33/15.78 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))].
% 15.33/15.78 [157=demod(75),[151,4,58,14,11],
% 15.33/15.78 least_upper_bound(inverse(least_upper_bound(identity,X10)),inverse(least_upper_bound(identity,inverse(X10)))) = identity].
% 15.33/15.78 [350=param(134,14),[58],
% 15.33/15.78 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))].
% 15.33/15.78 [388=param(5,157),[12],
% 15.33/15.78 greatest_lower_bound(identity,inverse(least_upper_bound(identity,X10))) = inverse(least_upper_bound(identity,X10))].
% 15.33/15.78 [397=param(6,388),[],
% 15.33/15.78 least_upper_bound(identity,inverse(least_upper_bound(identity,X10))) = identity].
% 15.33/15.78 [404=param(38,388),[],
% 15.33/15.78 least_upper_bound(greatest_lower_bound(X10,identity),greatest_lower_bound(X10,inverse(least_upper_bound(identity,X11)))) = greatest_lower_bound(X10,identity)].
% 15.33/15.78 [417=param(397,11),[],
% 15.33/15.78 least_upper_bound(identity,inverse(least_upper_bound(X10,identity))) = identity].
% 15.33/15.78 [422=param(2,417),[15,15],
% 15.33/15.79 least_upper_bound(X10,multiply(inverse(least_upper_bound(X11,identity)),X10)) = X10].
% 15.33/15.79 [461=param(422,151),[4,58,11],
% 15.33/15.79 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),multiply(inverse(X10),X11)))) = X10].
% 15.33/15.79 [567=param(461,53),[],
% 15.33/15.79 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10].
% 15.33/15.79 [572=param(567,11),[],
% 15.33/15.79 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10].
% 15.33/15.79 [595=param(21,572),[12],
% 15.33/15.79 greatest_lower_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = inverse(least_upper_bound(X11,inverse(X10)))].
% 15.33/15.79 [601=param(572,63),[],
% 15.33/15.79 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)].
% 15.33/15.79 [609=param(601,6),[11],
% 15.33/15.79 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X10,X11))) = inverse(greatest_lower_bound(X10,X11))].
% 15.33/15.79 [612=param(601,18),[11],
% 15.33/15.79 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(greatest_lower_bound(X11,X10))].
% 15.33/15.79 [631=param(612,59),[],
% 15.33/15.79 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))].
% 15.33/15.79 [664=param(131,14),[],
% 15.33/15.79 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 15.33/15.79 [665=param(131,15),[],
% 15.33/15.79 multiply(X10,inverse(greatest_lower_bound(X10,multiply(X11,X10)))) = inverse(greatest_lower_bound(identity,X11))].
% 15.33/15.79 [1051=param(665,14),[],
% 15.33/15.79 multiply(X10,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(identity,inverse(X10)))].
% 15.33/15.79 [1057=param(123,1051),[63,3,58,350,63,3,58,12],
% 15.33/15.79 greatest_lower_bound(inverse(greatest_lower_bound(X10,identity)),inverse(greatest_lower_bound(X10,multiply(X10,X10)))) = inverse(X10)].
% 15.33/15.79 [2738=param(404,595),[11],
% 15.33/15.79 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),greatest_lower_bound(X10,identity)) = greatest_lower_bound(X10,identity)].
% 15.33/15.79 [2741=param(567,2738),[9,609,631],
% 15.33/15.79 inverse(greatest_lower_bound(X10,identity)) = least_upper_bound(identity,inverse(X10))].
% 15.33/15.79 [2745=demod(1057),[2741],
% 15.33/15.79 greatest_lower_bound(least_upper_bound(identity,inverse(X10)),inverse(greatest_lower_bound(X10,multiply(X10,X10)))) = inverse(X10)].
% 15.33/15.79 [2755=param(2741,12),[],
% 15.33/15.79 inverse(greatest_lower_bound(identity,X10)) = least_upper_bound(identity,inverse(X10))].
% 15.33/15.79 [2756=demod(664),[2755,4,58,123],
% 15.33/15.79 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))].
% 15.33/15.79 [3141=param(2756,63),[],
% 15.33/15.79 inverse(greatest_lower_bound(X10,X11)) = least_upper_bound(inverse(X10),inverse(X11))].
% 15.33/15.79 [3153=demod(2745),[3141],
% 15.33/15.79 greatest_lower_bound(least_upper_bound(identity,inverse(X10)),least_upper_bound(inverse(X10),inverse(multiply(X10,X10)))) = inverse(X10)].
% 15.33/15.79 [3187=param(63,3141),[],
% 15.33/15.79 greatest_lower_bound(X10,X11) = inverse(least_upper_bound(inverse(X10),inverse(X11)))].
% 15.33/15.79 [3516=demod(3153),[3187],
% 15.33/15.79 inverse(least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),inverse(least_upper_bound(inverse(X10),inverse(multiply(X10,X10)))))) = inverse(X10)].
% 15.33/15.79 [3807=param(17,3187),[59,11,58,3187,11],
% 15.33/15.79 thtop(a,least_upper_bound(inverse(least_upper_bound(identity,inverse(a))),inverse(least_upper_bound(inverse(a),inverse(multiply(a,a)))))) = thmtrue].
% 15.33/15.79 [5740=param(63,3516),[63],
% 15.33/15.79 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),inverse(least_upper_bound(inverse(X10),inverse(multiply(X10,X10))))) = X10].
% 15.33/15.79 [5759=param(3807,5740),[16],
% 15.33/15.79 thmtrue = thmfalse].
% 15.33/15.79 % SZS output end CNFRefutation
% 15.33/15.79 Space: 82941 KB
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