TSTP Solution File: GRP177-2 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP177-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n024.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 09:13:07 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP177-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : fiesta-wrapper %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 14:27:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.09 Theorem Proved.
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09 % SZS output start CNFRefutation
% 0.72/1.09 [1=axiom,[],
% 0.72/1.09 greatest_lower_bound(identity,c) = identity].
% 0.72/1.09 [2=axiom,[],
% 0.72/1.09 greatest_lower_bound(identity,b) = identity].
% 0.72/1.09 [3=axiom,[],
% 0.72/1.09 greatest_lower_bound(identity,a) = identity].
% 0.72/1.09 [4=axiom,[],
% 0.72/1.09 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 0.72/1.09 [6=axiom,[],
% 0.72/1.09 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 0.72/1.09 [8=axiom,[],
% 0.72/1.09 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10].
% 0.72/1.09 [9=axiom,[],
% 0.72/1.09 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 0.72/1.09 [13=axiom,[],
% 0.72/1.09 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 0.72/1.09 [14=axiom,[],
% 0.72/1.09 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 0.72/1.09 [15=axiom,[],
% 0.72/1.09 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 0.72/1.09 [16=demod(1),[15],
% 0.72/1.09 greatest_lower_bound(c,identity) = identity].
% 0.72/1.09 [17=demod(2),[15],
% 0.72/1.09 greatest_lower_bound(b,identity) = identity].
% 0.72/1.09 [18=demod(3),[15],
% 0.72/1.09 greatest_lower_bound(a,identity) = identity].
% 0.72/1.09 [19=axiom,[],
% 0.72/1.09 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.72/1.09 [20=axiom,[],
% 0.72/1.09 multiply(inverse(X10),X10) = identity].
% 0.72/1.09 [21=axiom,[],
% 0.72/1.09 multiply(identity,X10) = X10].
% 0.72/1.09 [22=axiom,[],
% 0.72/1.09 thtop(X10,X10) = thmfalse].
% 0.72/1.09 [23=axiom,[15,15,4,6,6,13,13],
% 0.72/1.09 thtop(greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(b,a),greatest_lower_bound(multiply(a,c),multiply(a,a)))))),greatest_lower_bound(a,multiply(b,c))) = thmtrue].
% 0.72/1.09 [24=param(4,17),[21,21,15],
% 0.72/1.09 greatest_lower_bound(X10,multiply(b,X10)) = X10].
% 0.72/1.09 [25=param(4,18),[21,21,15],
% 0.72/1.09 greatest_lower_bound(X10,multiply(a,X10)) = X10].
% 0.72/1.09 [27=param(6,16),[],
% 0.72/1.09 greatest_lower_bound(multiply(X10,c),multiply(X10,identity)) = multiply(X10,identity)].
% 0.72/1.09 [33=param(25,6),[13],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(multiply(a,X10),multiply(a,X11)))) = greatest_lower_bound(X10,X11)].
% 0.72/1.09 [58=param(9,15),[],
% 0.72/1.09 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 0.72/1.09 [64=param(13,15),[],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))].
% 0.72/1.09 [69=param(13,24),[],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(multiply(b,X10),X11)) = greatest_lower_bound(X10,X11)].
% 0.72/1.09 [70=param(13,25),[],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(multiply(a,X10),X11)) = greatest_lower_bound(X10,X11)].
% 0.72/1.09 [75=param(8,14),[],
% 0.72/1.09 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10].
% 0.72/1.09 [78=param(19,20),[21],
% 0.72/1.09 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 0.72/1.09 [82=param(75,58),[15],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,X10)) = greatest_lower_bound(X11,X10)].
% 0.72/1.09 [94=param(82,13),[],
% 0.72/1.09 greatest_lower_bound(X11,greatest_lower_bound(X12,greatest_lower_bound(X10,greatest_lower_bound(X11,X12)))) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 0.72/1.09 [95=param(82,13),[13],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,X10))) = greatest_lower_bound(X11,greatest_lower_bound(X12,X10))].
% 0.72/1.09 [96=demod(94),[95],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X10,X12))) = greatest_lower_bound(X11,greatest_lower_bound(X10,X12))].
% 0.72/1.09 [105=param(78,20),[],
% 0.72/1.09 multiply(inverse(inverse(X10)),identity) = X10].
% 0.72/1.09 [109=param(78,78),[],
% 0.72/1.09 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)].
% 0.72/1.09 [110=demod(105),[109],
% 0.72/1.09 multiply(X10,identity) = X10].
% 0.72/1.09 [118=demod(27),[110,15,110],
% 0.72/1.09 greatest_lower_bound(X10,multiply(X10,c)) = X10].
% 0.72/1.09 [147=param(33,15),[70],
% 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,multiply(a,X10))) = greatest_lower_bound(X10,X11)].
% 0.72/1.09 [419=param(23,64),[15,96,69],
% 0.72/1.09 thtop(greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(a,c),multiply(a,a)))),greatest_lower_bound(a,multiply(b,c))) = thmtrue].
% 0.72/1.09 [431=param(419,64),[15,147,118,15,22],
% 0.72/1.09 thmtrue = thmfalse].
% 0.72/1.09 % SZS output end CNFRefutation
% 0.72/1.09 Space: 311 KB
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