TSTP Solution File: GRP193-2 by Fiesta---2

View Problem - Process Solution

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% File     : Fiesta---2
% Problem  : GRP193-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n019.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 09:13:17 EDT 2022

% Result   : Unsatisfiable 0.44s 1.10s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP193-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : fiesta-wrapper %s
% 0.13/0.34  % Computer : n019.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 : Tue Jun 14 09:12:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.44/1.10  Theorem Proved.
% 0.44/1.10  % SZS status Unsatisfiable
% 0.44/1.10  % SZS output start CNFRefutation
% 0.44/1.10  [1=axiom,[],
% 0.44/1.10  			greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [2=axiom,[],
% 0.44/1.10  			greatest_lower_bound(a,b) 	= identity].
% 0.44/1.10  [3=demod(1),[2],
% 0.44/1.10  			greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(identity,greatest_lower_bound(a,c))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [5=axiom,[],
% 0.44/1.10  			greatest_lower_bound(identity,b) 	= identity].
% 0.44/1.10  [7=axiom,[],
% 0.44/1.10  			multiply(greatest_lower_bound(X10,X11),X12) 	= greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 0.44/1.10  [9=axiom,[],
% 0.44/1.10  			multiply(X10,greatest_lower_bound(X11,X12)) 	= greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 0.44/1.10  [10=demod(3),[9],
% 0.44/1.10  			greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(multiply(identity,a),multiply(identity,c))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [14=axiom,[],
% 0.44/1.10  			greatest_lower_bound(X10,X10) 	= X10].
% 0.44/1.10  [17=axiom,[],
% 0.44/1.10  			greatest_lower_bound(greatest_lower_bound(X10,X11),X12) 	= greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 0.44/1.10  [18=demod(10),[17],
% 0.44/1.10  			greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(identity,a),multiply(identity,c)))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [20=axiom,[],
% 0.44/1.10  			greatest_lower_bound(X10,X11) 	= greatest_lower_bound(X11,X10)].
% 0.44/1.10  [22=demod(18),[20],
% 0.44/1.10  			greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(identity,c),multiply(identity,a)))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [24=demod(5),[20],
% 0.44/1.10  			greatest_lower_bound(b,identity) 	= identity].
% 0.44/1.10  [28=axiom,[],
% 0.44/1.10  			multiply(identity,X10) 	= X10].
% 0.44/1.10  [29=demod(22),[28,28,20,17],
% 0.44/1.10  			greatest_lower_bound(a,greatest_lower_bound(c,greatest_lower_bound(a,multiply(b,c)))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [30=axiom,[],
% 0.44/1.10  			thtop(X10,X10) 	= thmfalse].
% 0.44/1.10  [31=axiom,[20],
% 0.44/1.10  			thtop(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(c,a)) 	= thmtrue].
% 0.44/1.10  [32=param(7,24),[28,28,20],
% 0.44/1.10  			greatest_lower_bound(X10,multiply(b,X10)) 	= X10].
% 0.44/1.10  [45=param(32,9),[17],
% 0.44/1.10  			greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(multiply(b,X10),multiply(b,X11)))) 	= greatest_lower_bound(X10,X11)].
% 0.44/1.10  [72=param(17,32),[],
% 0.44/1.10  			greatest_lower_bound(X10,greatest_lower_bound(multiply(b,X10),X11)) 	= greatest_lower_bound(X10,X11)].
% 0.44/1.10  [78=param(20,17),[],
% 0.44/1.10  			greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) 	= greatest_lower_bound(X11,greatest_lower_bound(X12,X10))].
% 0.44/1.10  [80=demod(29),[],
% 0.44/1.10  			greatest_lower_bound(a,greatest_lower_bound(c,greatest_lower_bound(a,multiply(b,c)))) 	= greatest_lower_bound(a,multiply(b,c))].
% 0.44/1.10  [199=param(45,20),[72],
% 0.44/1.10  			greatest_lower_bound(X10,greatest_lower_bound(X11,multiply(b,X10))) 	= greatest_lower_bound(X10,X11)].
% 0.44/1.10  [200=demod(80),[199,78,14],
% 0.44/1.10  			greatest_lower_bound(a,multiply(b,c)) 	= greatest_lower_bound(c,a)].
% 0.44/1.10  [202=param(31,200),[30],
% 0.44/1.10  			thmtrue 	= thmfalse].
% 0.44/1.10  % SZS output end CNFRefutation
% 0.44/1.10  Space:    156 KB 
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