TSTP Solution File: RNG009-5 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : RNG009-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n027.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 : Mon Jul 18 20:27:47 EDT 2022

% Result   : Unsatisfiable 2.05s 2.49s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : RNG009-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : fiesta-wrapper %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 16:53:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.05/2.49  Theorem Proved.
% 2.05/2.49  % SZS status Unsatisfiable
% 2.05/2.49  % SZS output start CNFRefutation
% 2.05/2.49  [1=axiom,[],
% 2.05/2.49  			multiply(X10,multiply(X10,X10)) 	= X10].
% 2.05/2.49  [2=axiom,[],
% 2.05/2.49  			multiply(multiply(X10,X11),X12) 	= multiply(X10,multiply(X11,X12))].
% 2.05/2.49  [3=axiom,[],
% 2.05/2.49  			add(X10,X11) 	= add(X11,X10)].
% 2.05/2.49  [4=axiom,[],
% 2.05/2.49  			add(add(X10,X11),X12) 	= add(X10,add(X11,X12))].
% 2.05/2.49  [5=axiom,[],
% 2.05/2.49  			add(multiply(X10,X12),multiply(X11,X12)) 	= multiply(add(X10,X11),X12)].
% 2.05/2.49  [6=axiom,[],
% 2.05/2.49  			add(multiply(X10,X11),multiply(X10,X12)) 	= multiply(X10,add(X11,X12))].
% 2.05/2.49  [7=axiom,[],
% 2.05/2.49  			add(X10,additive_inverse(X10)) 	= additive_identity].
% 2.05/2.49  [8=axiom,[],
% 2.05/2.49  			add(X10,additive_identity) 	= X10].
% 2.05/2.49  [9=axiom,[],
% 2.05/2.49  			thtop(X10,X10) 	= thmfalse].
% 2.05/2.49  [10=axiom,[],
% 2.05/2.49  			thtop(multiply(a,b),multiply(b,a)) 	= thmtrue].
% 2.05/2.49  [11=param(2,1),[2],
% 2.05/2.49  			multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11))))) 	= multiply(X10,X11)].
% 2.05/2.49  [12=param(2,1),[2],
% 2.05/2.49  			multiply(X10,multiply(X10,multiply(X10,X11))) 	= multiply(X10,X11)].
% 2.05/2.49  [13=param(3,8),[],
% 2.05/2.49  			add(additive_identity,X10) 	= X10].
% 2.05/2.49  [14=param(13,7),[],
% 2.05/2.49  			additive_inverse(additive_identity) 	= additive_identity].
% 2.05/2.49  [16=param(4,3),[4],
% 2.05/2.49  			add(X10,add(X11,X12)) 	= add(X11,add(X10,X12))].
% 2.05/2.49  [17=param(4,7),[],
% 2.05/2.49  			add(X10,add(X11,additive_inverse(add(X10,X11)))) 	= additive_identity].
% 2.05/2.49  [18=param(4,7),[13],
% 2.05/2.49  			add(X11,add(additive_inverse(X11),X10)) 	= X10].
% 2.05/2.49  [19=param(18,3),[],
% 2.05/2.49  			add(X10,add(X11,additive_inverse(X10))) 	= X11].
% 2.05/2.49  [21=param(18,7),[8],
% 2.05/2.49  			additive_inverse(additive_inverse(X10)) 	= X10].
% 2.05/2.49  [22=param(5,1),[],
% 2.05/2.49  			add(X10,multiply(X11,multiply(X10,X10))) 	= multiply(add(X10,X11),multiply(X10,X10))].
% 2.05/2.49  [28=param(6,1),[],
% 2.05/2.49  			multiply(X10,add(multiply(X10,X10),X11)) 	= add(X10,multiply(X10,X11))].
% 2.05/2.49  [33=param(18,17),[8],
% 2.05/2.49  			add(X11,additive_inverse(add(additive_inverse(X10),X11))) 	= X10].
% 2.05/2.49  [36=param(18,33),[],
% 2.05/2.49  			add(X10,X11) 	= additive_inverse(add(additive_inverse(X11),additive_inverse(X10)))].
% 2.05/2.49  [37=param(6,12),[6],
% 2.05/2.49  			multiply(X10,add(multiply(X10,multiply(X10,X11)),X12)) 	= multiply(X10,add(X11,X12))].
% 2.05/2.49  [38=param(6,12),[6],
% 2.05/2.49  			multiply(X10,add(X11,multiply(X10,multiply(X10,X12)))) 	= multiply(X10,add(X11,X12))].
% 2.05/2.49  [39=param(36,3),[],
% 2.05/2.49  			additive_inverse(add(additive_inverse(X10),additive_inverse(X11))) 	= add(X10,X11)].
% 2.05/2.49  [46=param(39,21),[],
% 2.05/2.49  			add(additive_inverse(X10),X11) 	= additive_inverse(add(X10,additive_inverse(X11)))].
% 2.05/2.49  [61=param(19,46),[21],
% 2.05/2.49  			add(X10,additive_inverse(add(X11,X10))) 	= additive_inverse(X11)].
% 2.05/2.49  [62=param(61,3),[],
% 2.05/2.49  			add(X10,additive_inverse(add(X10,X11))) 	= additive_inverse(X11)].
% 2.05/2.49  [66=param(61,5),[],
% 2.05/2.49  			add(multiply(X10,X11),additive_inverse(multiply(add(X12,X10),X11))) 	= additive_inverse(multiply(X12,X11))].
% 2.05/2.49  [98=param(28,8),[1],
% 2.05/2.49  			add(X10,multiply(X10,additive_identity)) 	= X10].
% 2.05/2.49  [109=param(62,98),[7],
% 2.05/2.49  			additive_inverse(multiply(X10,additive_identity)) 	= additive_identity].
% 2.05/2.49  [112=param(7,109),[3,13],
% 2.05/2.49  			multiply(X10,additive_identity) 	= additive_identity].
% 2.05/2.49  [118=param(2,112),[],
% 2.05/2.49  			multiply(X11,multiply(additive_identity,X10)) 	= multiply(additive_identity,X10)].
% 2.05/2.49  [150=param(37,7),[112],
% 2.05/2.49  			multiply(X10,add(X11,additive_inverse(multiply(X10,multiply(X10,X11))))) 	= additive_identity].
% 2.05/2.49  [156=param(118,38),[118,118],
% 2.05/2.49  			multiply(additive_identity,add(X10,multiply(additive_identity,X11))) 	= multiply(additive_identity,add(X10,X11))].
% 2.05/2.49  [157=param(156,5),[8,3],
% 2.05/2.49  			multiply(additive_identity,add(X11,multiply(X10,X11))) 	= multiply(additive_identity,multiply(X10,X11))].
% 2.05/2.49  [158=param(156,22),[8,1,157],
% 2.05/2.49  			multiply(additive_identity,multiply(X10,X10)) 	= multiply(additive_identity,X10)].
% 2.05/2.49  [163=param(22,158),[8,1],
% 2.05/2.49  			add(X10,multiply(additive_identity,X10)) 	= X10].
% 2.05/2.49  [177=param(62,163),[7],
% 2.05/2.49  			additive_inverse(multiply(additive_identity,X10)) 	= additive_identity].
% 2.05/2.49  [178=param(7,177),[3,13],
% 2.05/2.49  			multiply(additive_identity,X10) 	= additive_identity].
% 2.05/2.49  [205=param(2,150),[178],
% 2.05/2.49  			multiply(X10,multiply(add(X11,additive_inverse(multiply(X10,multiply(X10,X11)))),X12)) 	= additive_identity].
% 2.05/2.49  [210=param(66,7),[178,14,3,13],
% 2.05/2.49  			multiply(additive_inverse(X10),X11) 	= additive_inverse(multiply(X10,X11))].
% 2.05/2.49  [222=param(5,210),[],
% 2.05/2.49  			add(multiply(X10,X11),additive_inverse(multiply(X12,X11))) 	= multiply(add(X10,additive_inverse(X12)),X11)].
% 2.05/2.49  [237=param(11,205),[112],
% 2.05/2.49  			multiply(add(X10,additive_inverse(multiply(X11,multiply(X11,X10)))),X11) 	= additive_identity].
% 2.05/2.49  [248=param(5,2),[],
% 2.05/2.49  			add(multiply(X10,multiply(X11,X12)),multiply(X13,X12)) 	= multiply(add(multiply(X10,X11),X13),X12)].
% 2.05/2.49  [249=param(5,2),[],
% 2.05/2.49  			add(multiply(X10,X11),multiply(X12,multiply(X13,X11))) 	= multiply(add(X10,multiply(X12,X13)),X11)].
% 2.05/2.49  [305=param(5,237),[3,13],
% 2.05/2.49  			multiply(add(X10,add(X12,additive_inverse(multiply(X11,multiply(X11,X12))))),X11) 	= multiply(X10,X11)].
% 2.05/2.49  [320=param(222,237),[13,4,46,21],
% 2.05/2.49  			multiply(add(X12,additive_inverse(add(multiply(X11,multiply(X11,X12)),X10))),X11) 	= additive_inverse(multiply(X10,X11))].
% 2.05/2.49  [422=param(249,1),[248],
% 2.05/2.49  			multiply(add(multiply(X10,X11),X12),X11) 	= multiply(add(X10,multiply(X12,X11)),multiply(X11,X11))].
% 2.05/2.49  [427=param(422,7),[178,210,2],
% 2.05/2.49  			multiply(add(X10,additive_inverse(multiply(X10,multiply(X11,X11)))),multiply(X11,X11)) 	= additive_identity].
% 2.05/2.49  [446=param(2,427),[178,2],
% 2.05/2.49  			multiply(add(X10,additive_inverse(multiply(X10,multiply(X11,X11)))),multiply(X11,multiply(X11,X12))) 	= additive_identity].
% 2.05/2.49  [449=param(248,1),[249],
% 2.05/2.49  			multiply(add(multiply(X10,X12),X11),multiply(X12,X12)) 	= multiply(add(X10,multiply(X11,X12)),X12)].
% 2.05/2.49  [452=param(449,5),[2,1,2],
% 2.05/2.49  			multiply(add(X10,multiply(X11,multiply(X12,X12))),X12) 	= multiply(add(X10,X11),X12)].
% 2.05/2.49  [459=param(452,427),[8],
% 2.05/2.49  			multiply(add(X10,add(X12,additive_inverse(multiply(X12,multiply(X11,X11))))),X11) 	= multiply(X10,X11)].
% 2.05/2.49  [481=param(459,16),[],
% 2.05/2.49  			multiply(add(X10,add(X11,additive_inverse(multiply(X10,multiply(X12,X12))))),X12) 	= multiply(X11,X12)].
% 2.05/2.49  [503=param(305,16),[],
% 2.05/2.49  			multiply(add(X10,add(X11,additive_inverse(multiply(X12,multiply(X12,X10))))),X12) 	= multiply(X11,X12)].
% 2.05/2.49  [505=param(503,7),[8,2,2],
% 2.05/2.49  			multiply(X11,multiply(X11,multiply(X10,X11))) 	= multiply(X10,X11)].
% 2.05/2.49  [509=param(505,2),[2],
% 2.05/2.49  			multiply(X10,multiply(X10,multiply(X11,multiply(X12,X10)))) 	= multiply(X11,multiply(X12,X10))].
% 2.05/2.49  [510=param(2,505),[2,2,2],
% 2.05/2.49  			multiply(X11,multiply(X11,multiply(X10,multiply(X11,X12)))) 	= multiply(X10,multiply(X11,X12))].
% 2.05/2.49  [511=param(6,505),[],
% 2.05/2.49  			add(multiply(X10,X11),multiply(X12,X10)) 	= multiply(X10,add(X11,multiply(X10,multiply(X12,X10))))].
% 2.05/2.49  [531=param(511,248),[249],
% 2.05/2.49  			multiply(add(multiply(X10,X11),X12),X10) 	= multiply(X10,multiply(add(X11,multiply(X10,X12)),X10))].
% 2.05/2.49  [536=param(510,11),[],
% 2.05/2.49  			multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11)))) 	= multiply(X10,multiply(X10,X11))].
% 2.05/2.49  [541=param(510,536),[],
% 2.05/2.49  			multiply(X10,multiply(X11,multiply(X11,X10))) 	= multiply(X11,multiply(X10,multiply(X11,X10)))].
% 2.05/2.49  [550=param(510,541),[],
% 2.05/2.49  			multiply(X10,multiply(X11,multiply(X10,multiply(X10,X11)))) 	= multiply(X11,multiply(X10,X11))].
% 2.05/2.49  [571=param(320,61),[21,210,21],
% 2.05/2.49  			multiply(add(X10,X11),X12) 	= multiply(add(X11,multiply(X12,multiply(X12,X10))),X12)].
% 2.05/2.49  [572=param(571,3),[],
% 2.05/2.49  			multiply(add(X10,multiply(X12,multiply(X12,X11))),X12) 	= multiply(add(X10,X11),X12)].
% 2.05/2.49  [621=param(446,12),[],
% 2.05/2.49  			multiply(add(X10,additive_inverse(multiply(X10,multiply(X11,X11)))),multiply(X11,X12)) 	= additive_identity].
% 2.05/2.49  [627=param(505,621),[112],
% 2.05/2.49  			multiply(X10,add(X11,additive_inverse(multiply(X11,multiply(X10,X10))))) 	= additive_identity].
% 2.05/2.49  [638=param(6,627),[3,13],
% 2.05/2.49  			multiply(X10,add(X11,add(X12,additive_inverse(multiply(X12,multiply(X10,X10)))))) 	= multiply(X10,X11)].
% 2.05/2.49  [662=param(638,16),[],
% 2.05/2.49  			multiply(X10,add(X11,add(X12,additive_inverse(multiply(X11,multiply(X10,X10)))))) 	= multiply(X10,X12)].
% 2.05/2.49  [663=param(662,7),[8],
% 2.05/2.49  			multiply(X10,multiply(X11,multiply(X10,X10))) 	= multiply(X10,X11)].
% 2.05/2.49  [668=param(2,663),[2,2,2],
% 2.05/2.49  			multiply(X10,multiply(X11,multiply(X10,multiply(X10,X12)))) 	= multiply(X10,multiply(X11,X12))].
% 2.05/2.49  [669=demod(550),[668],
% 2.05/2.49  			multiply(X10,multiply(X11,X11)) 	= multiply(X11,multiply(X10,X11))].
% 2.05/2.49  [688=param(248,663),[669,531,505],
% 2.05/2.49  			add(multiply(X10,X11),multiply(X12,multiply(X10,X10))) 	= multiply(add(X11,multiply(X10,X12)),X10)].
% 2.05/2.49  [697=param(509,663),[],
% 2.05/2.49  			multiply(X10,multiply(X10,X11)) 	= multiply(X11,multiply(X10,X10))].
% 2.05/2.49  [701=param(6,697),[688],
% 2.05/2.49  			multiply(add(X10,multiply(X11,X12)),X11) 	= multiply(X11,add(X10,multiply(X11,X12)))].
% 2.05/2.49  [702=demod(572),[701,38],
% 2.05/2.49  			multiply(X10,add(X11,X12)) 	= multiply(add(X11,X12),X10)].
% 2.05/2.49  [705=demod(481),[-702,662],
% 2.05/2.49  			multiply(X10,X11) 	= multiply(X11,X10)].
% 2.05/2.49  [779=param(10,705),[9],
% 2.05/2.49  			thmtrue 	= thmfalse].
% 2.05/2.49  % SZS output end CNFRefutation
% 2.05/2.49  Space:   8657 KB 
%------------------------------------------------------------------------------