TSTP Solution File: RNG026-7 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:27:49 EDT 2022

% Result   : Unsatisfiable 153.65s 154.21s
% Output   : CNFRefutation 153.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG026-7 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon May 30 07:09:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 153.65/154.21  Theorem Proved.
% 153.65/154.21  % SZS status Unsatisfiable
% 153.65/154.21  % SZS output start CNFRefutation
% 153.65/154.21  [3=axiom,[],
% 153.65/154.21  			add(multiply(X10,X12),additive_inverse(multiply(X11,X12))) 	= multiply(add(X10,additive_inverse(X11)),X12)].
% 153.65/154.21  [4=axiom,[],
% 153.65/154.21  			add(multiply(X10,X11),additive_inverse(multiply(X10,X12))) 	= multiply(X10,add(X11,additive_inverse(X12)))].
% 153.65/154.21  [5=axiom,[],
% 153.65/154.21  			multiply(X10,additive_inverse(X11)) 	= additive_inverse(multiply(X10,X11))].
% 153.65/154.21  [7=axiom,[],
% 153.65/154.21  			multiply(additive_inverse(X10),X11) 	= additive_inverse(multiply(X10,X11))].
% 153.65/154.21  [10=axiom,[],
% 153.65/154.21  			add(multiply(X11,X10),additive_inverse(multiply(X10,X11))) 	= commutator(X10,X11)].
% 153.65/154.21  [11=axiom,[],
% 153.65/154.21  			associator(X10,X11,X12) 	= add(multiply(multiply(X10,X11),X12),additive_inverse(multiply(X10,multiply(X11,X12))))].
% 153.65/154.21  [14=axiom,[],
% 153.65/154.21  			add(add(X10,X11),X12) 	= add(X10,add(X11,X12))].
% 153.65/154.21  [15=axiom,[],
% 153.65/154.21  			add(X10,X11) 	= add(X11,X10)].
% 153.65/154.21  [16=demod(11),[15],
% 153.65/154.21  			associator(X10,X11,X12) 	= add(additive_inverse(multiply(X10,multiply(X11,X12))),multiply(multiply(X10,X11),X12))].
% 153.65/154.21  [17=axiom,[],
% 153.65/154.21  			add(multiply(X10,X12),multiply(X11,X12)) 	= multiply(add(X10,X11),X12)].
% 153.65/154.21  [18=axiom,[],
% 153.65/154.21  			add(multiply(X10,X11),multiply(X10,X12)) 	= multiply(X10,add(X11,X12))].
% 153.65/154.21  [19=axiom,[],
% 153.65/154.21  			additive_inverse(additive_inverse(X10)) 	= X10].
% 153.65/154.21  [20=axiom,[],
% 153.65/154.21  			add(X10,additive_inverse(X10)) 	= additive_identity].
% 153.65/154.21  [22=axiom,[],
% 153.65/154.21  			multiply(additive_identity,X10) 	= additive_identity].
% 153.65/154.21  [23=axiom,[],
% 153.65/154.21  			add(X10,additive_identity) 	= X10].
% 153.65/154.21  [24=axiom,[],
% 153.65/154.21  			add(additive_identity,X10) 	= X10].
% 153.65/154.21  [25=axiom,[],
% 153.65/154.21  			thtop(X10,X10) 	= thmfalse].
% 153.65/154.21  [26=axiom,[16,16,14,16,16,14,16,14,14,14,14,14],
% 153.65/154.21  			thtop(add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d))))))))),additive_identity) 	= thmtrue].
% 153.65/154.21  [36=param(14,15),[],
% 153.65/154.21  			add(X10,add(X11,X12)) 	= add(X12,add(X10,X11))].
% 153.65/154.21  [37=param(14,15),[14],
% 153.65/154.21  			add(X10,add(X11,X12)) 	= add(X11,add(X10,X12))].
% 153.65/154.21  [38=param(14,20),[],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(add(X10,X11)))) 	= additive_identity].
% 153.65/154.21  [39=param(14,20),[24],
% 153.65/154.21  			add(X11,add(additive_inverse(X11),X10)) 	= X10].
% 153.65/154.21  [42=param(39,15),[],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(X10))) 	= X11].
% 153.65/154.21  [50=param(42,14),[],
% 153.65/154.21  			add(X10,add(X11,add(X12,additive_inverse(X10)))) 	= add(X11,X12)].
% 153.65/154.21  [54=param(10,5),[7,19],
% 153.65/154.21  			add(additive_inverse(multiply(X10,X11)),multiply(X11,X10)) 	= commutator(additive_inverse(X11),X10)].
% 153.65/154.21  [55=param(10,5),[7,19,54],
% 153.65/154.21  			commutator(additive_inverse(X10),X11) 	= commutator(X10,additive_inverse(X11))].
% 153.65/154.21  [56=demod(54),[55],
% 153.65/154.21  			add(additive_inverse(multiply(X10,X11)),multiply(X11,X10)) 	= commutator(X11,additive_inverse(X10))].
% 153.65/154.21  [57=param(10,15),[56],
% 153.65/154.21  			commutator(X10,X11) 	= commutator(X11,additive_inverse(X10))].
% 153.65/154.21  [60=param(42,10),[15],
% 153.65/154.21  			add(commutator(X10,X11),multiply(X10,X11)) 	= multiply(X11,X10)].
% 153.65/154.21  [62=param(14,60),[],
% 153.65/154.21  			add(multiply(X10,X11),X12) 	= add(commutator(X11,X10),add(multiply(X11,X10),X12))].
% 153.65/154.21  [65=param(60,57),[5,7],
% 153.65/154.21  			add(commutator(X10,X11),additive_inverse(multiply(X11,X10))) 	= additive_inverse(multiply(X10,X11))].
% 153.65/154.21  [70=param(38,15),[14,15],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(add(X11,X10)))) 	= additive_identity].
% 153.65/154.21  [82=param(39,70),[23],
% 153.65/154.21  			add(X11,additive_inverse(add(X11,additive_inverse(X10)))) 	= X10].
% 153.65/154.21  [85=param(39,82),[],
% 153.65/154.21  			additive_inverse(add(additive_inverse(X10),additive_inverse(X11))) 	= add(X10,X11)].
% 153.65/154.21  [89=param(85,19),[],
% 153.65/154.21  			add(additive_inverse(X10),X11) 	= additive_inverse(add(X10,additive_inverse(X11)))].
% 153.65/154.21  [92=demod(56),[89,10],
% 153.65/154.21  			commutator(X10,additive_inverse(X11)) 	= additive_inverse(commutator(X10,X11))].
% 153.65/154.21  [93=demod(55),[92],
% 153.65/154.21  			commutator(additive_inverse(X10),X11) 	= additive_inverse(commutator(X10,X11))].
% 153.65/154.21  [94=demod(57),[92],
% 153.65/154.21  			commutator(X10,X11) 	= additive_inverse(commutator(X11,X10))].
% 153.65/154.21  [98=param(89,15),[],
% 153.65/154.21  			additive_inverse(add(X10,additive_inverse(X11))) 	= add(X11,additive_inverse(X10))].
% 153.65/154.21  [100=param(42,89),[19],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,X10))) 	= additive_inverse(X11)].
% 153.65/154.21  [102=param(36,14),[14],
% 153.65/154.21  			add(X10,add(X11,add(X12,X13))) 	= add(X11,add(X12,add(X13,X10)))].
% 153.65/154.21  [103=param(14,36),[14,14,14],
% 153.65/154.21  			add(X10,add(X11,add(X12,X13))) 	= add(X11,add(X12,add(X10,X13)))].
% 153.65/154.21  [105=param(36,60),[36],
% 153.65/154.21  			add(X10,multiply(X11,X12)) 	= add(commutator(X12,X11),add(multiply(X12,X11),X10))].
% 153.65/154.21  [107=param(36,89),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,additive_inverse(X12)))) 	= add(X12,add(X10,additive_inverse(X11)))].
% 153.65/154.21  [109=param(36,89),[],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(X12))) 	= additive_inverse(add(X12,additive_inverse(add(X10,X11))))].
% 153.65/154.21  [111=param(20,94),[],
% 153.65/154.21  			add(commutator(X10,X11),commutator(X11,X10)) 	= additive_identity].
% 153.65/154.21  [112=param(89,94),[],
% 153.65/154.21  			add(commutator(X10,X11),X12) 	= additive_inverse(add(commutator(X11,X10),additive_inverse(X12)))].
% 153.65/154.21  [114=param(93,94),[],
% 153.65/154.21  			commutator(commutator(X10,X11),X12) 	= additive_inverse(commutator(commutator(X11,X10),X12))].
% 153.65/154.21  [118=param(100,15),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X10,X11))) 	= additive_inverse(X11)].
% 153.65/154.21  [120=param(37,15),[14],
% 153.65/154.21  			add(X10,add(X11,X12)) 	= add(X10,add(X12,X11))].
% 153.65/154.21  [121=param(37,36),[],
% 153.65/154.21  			add(X10,add(X11,X12)) 	= add(X12,add(X11,X10))].
% 153.65/154.21  [123=param(37,60),[],
% 153.65/154.21  			add(X10,multiply(X11,X12)) 	= add(commutator(X12,X11),add(X10,multiply(X12,X11)))].
% 153.65/154.21  [125=param(37,100),[],
% 153.65/154.21  			add(X12,add(X10,additive_inverse(add(X11,X12)))) 	= add(X10,additive_inverse(X11))].
% 153.65/154.21  [126=param(118,36),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,add(X10,X12)))) 	= additive_inverse(add(X12,X11))].
% 153.65/154.21  [127=param(118,37),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,add(X10,X12)))) 	= additive_inverse(add(X11,X12))].
% 153.65/154.21  [128=demod(126),[127],
% 153.65/154.21  			additive_inverse(add(X10,X11)) 	= additive_inverse(add(X11,X10))].
% 153.65/154.21  [129=param(37,118),[],
% 153.65/154.21  			add(X12,add(X10,additive_inverse(add(X12,X11)))) 	= add(X10,additive_inverse(X11))].
% 153.65/154.21  [130=param(14,111),[24],
% 153.65/154.21  			add(commutator(X11,X12),add(commutator(X12,X11),X10)) 	= X10].
% 153.65/154.21  [131=param(36,111),[23],
% 153.65/154.21  			add(commutator(X11,X12),add(X10,commutator(X12,X11))) 	= X10].
% 153.65/154.21  [134=param(128,14),[],
% 153.65/154.21  			additive_inverse(add(X10,add(X11,X12))) 	= additive_inverse(add(X12,add(X10,X11)))].
% 153.65/154.21  [136=param(89,128),[89,14,14],
% 153.65/154.21  			additive_inverse(add(X10,add(X11,additive_inverse(X12)))) 	= additive_inverse(add(X11,add(X10,additive_inverse(X12))))].
% 153.65/154.21  [143=param(98,98),[14,89,19],
% 153.65/154.21  			additive_inverse(add(X10,add(X11,additive_inverse(X12)))) 	= add(X12,additive_inverse(add(X11,X10)))].
% 153.65/154.21  [145=param(14,131),[14],
% 153.65/154.21  			add(commutator(X12,X13),add(X10,add(commutator(X13,X12),X11))) 	= add(X10,X11)].
% 153.65/154.21  [146=param(37,131),[],
% 153.65/154.21  			add(commutator(X12,X13),add(X10,add(X11,commutator(X13,X12)))) 	= add(X10,X11)].
% 153.65/154.21  [149=param(50,130),[],
% 153.65/154.21  			add(commutator(X10,X11),X12) 	= add(X12,additive_inverse(commutator(X11,X10)))].
% 153.65/154.21  [155=param(121,89),[89],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,additive_inverse(X12)))) 	= add(X12,additive_inverse(add(X11,additive_inverse(X10))))].
% 153.65/154.21  [161=param(120,18),[18],
% 153.65/154.21  			add(X10,multiply(X11,add(X12,X13))) 	= add(X10,multiply(X11,add(X13,X12)))].
% 153.65/154.21  [164=param(120,89),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,additive_inverse(X12)))) 	= add(X10,add(X12,additive_inverse(X11)))].
% 153.65/154.21  [167=param(128,120),[14],
% 153.65/154.21  			additive_inverse(add(X10,add(X11,X12))) 	= additive_inverse(add(X12,add(X11,X10)))].
% 153.65/154.21  [190=param(62,15),[],
% 153.65/154.21  			add(commutator(X10,X11),add(X12,multiply(X10,X11))) 	= add(multiply(X11,X10),X12)].
% 153.65/154.21  [191=param(62,37),[],
% 153.65/154.21  			add(multiply(X10,X11),X12) 	= add(multiply(X11,X10),add(commutator(X11,X10),X12))].
% 153.65/154.21  [192=param(149,15),[],
% 153.65/154.21  			add(X10,additive_inverse(commutator(X11,X12))) 	= add(X10,commutator(X12,X11))].
% 153.65/154.21  [195=param(192,15),[89],
% 153.65/154.21  			add(X10,commutator(X11,X12)) 	= additive_inverse(add(commutator(X12,X11),additive_inverse(X10)))].
% 153.65/154.21  [198=param(94,114),[19],
% 153.65/154.21  			commutator(commutator(X10,X11),X12) 	= commutator(X12,commutator(X11,X10))].
% 153.65/154.21  [200=param(20,114),[],
% 153.65/154.21  			add(commutator(commutator(X10,X11),X12),commutator(commutator(X11,X10),X12)) 	= additive_identity].
% 153.65/154.21  [206=param(111,198),[],
% 153.65/154.21  			add(commutator(X10,commutator(X11,X12)),commutator(X10,commutator(X12,X11))) 	= additive_identity].
% 153.65/154.21  [214=param(14,206),[24],
% 153.65/154.21  			add(commutator(X11,commutator(X12,X13)),add(commutator(X11,commutator(X13,X12)),X10)) 	= X10].
% 153.65/154.21  [217=param(36,200),[23],
% 153.65/154.21  			add(commutator(commutator(X11,X12),X13),add(X10,commutator(commutator(X12,X11),X13))) 	= X10].
% 153.65/154.21  [219=param(167,107),[89,19],
% 153.65/154.21  			additive_inverse(add(X10,additive_inverse(add(X11,additive_inverse(X12))))) 	= add(X11,additive_inverse(add(X10,X12)))].
% 153.65/154.21  [311=param(145,206),[23],
% 153.65/154.21  			add(commutator(commutator(X10,X11),X12),X13) 	= add(X13,commutator(X12,commutator(X11,X10)))].
% 153.65/154.21  [322=param(161,15),[],
% 153.65/154.21  			add(X10,multiply(X11,add(X12,X13))) 	= add(multiply(X11,add(X13,X12)),X10)].
% 153.65/154.21  [334=param(146,217),[],
% 153.65/154.21  			add(commutator(X10,commutator(X11,X12)),X13) 	= add(commutator(commutator(X12,X11),X10),X13)].
% 153.65/154.21  [347=param(14,17),[],
% 153.65/154.21  			add(multiply(add(X10,X11),X12),X13) 	= add(multiply(X10,X12),add(multiply(X11,X12),X13))].
% 153.65/154.21  [352=param(14,18),[],
% 153.65/154.21  			add(multiply(X10,add(X11,X12)),X13) 	= add(multiply(X10,X11),add(multiply(X10,X12),X13))].
% 153.65/154.21  [353=demod(322),[352],
% 153.65/154.21  			add(X10,multiply(X11,add(X12,X13))) 	= add(multiply(X11,X13),add(multiply(X11,X12),X10))].
% 153.65/154.21  [427=param(129,60),[],
% 153.65/154.21  			add(commutator(X10,X11),add(X12,additive_inverse(multiply(X11,X10)))) 	= add(X12,additive_inverse(multiply(X10,X11)))].
% 153.65/154.21  [437=param(62,17),[],
% 153.65/154.21  			add(multiply(X11,X10),multiply(X12,X11)) 	= add(commutator(X10,X11),multiply(add(X10,X12),X11))].
% 153.65/154.21  [448=param(127,60),[],
% 153.65/154.21  			add(commutator(X10,X11),additive_inverse(add(X12,multiply(X11,X10)))) 	= additive_inverse(add(X12,multiply(X10,X11)))].
% 153.65/154.21  [492=param(37,192),[],
% 153.65/154.21  			add(X10,add(X11,commutator(X12,X13))) 	= add(X11,add(X10,additive_inverse(commutator(X13,X12))))].
% 153.65/154.21  [506=demod(191),[],
% 153.65/154.21  			add(multiply(X10,X11),X12) 	= add(multiply(X11,X10),add(commutator(X11,X10),X12))].
% 153.65/154.21  [631=param(112,192),[19],
% 153.65/154.21  			additive_inverse(add(commutator(X10,X11),commutator(X12,X13))) 	= add(commutator(X11,X10),commutator(X13,X12))].
% 153.65/154.21  [1282=param(506,118),[],
% 153.65/154.21  			add(multiply(X10,X11),add(commutator(X10,X11),additive_inverse(add(multiply(X11,X10),X12)))) 	= additive_inverse(X12)].
% 153.65/154.21  [1537=param(1282,164),[19],
% 153.65/154.21  			add(multiply(X10,X11),add(commutator(X10,X11),add(X12,additive_inverse(multiply(X11,X10))))) 	= X12].
% 153.65/154.21  [1652=param(62,3),[],
% 153.65/154.21  			add(multiply(X11,X10),additive_inverse(multiply(X12,X11))) 	= add(commutator(X10,X11),multiply(add(X10,additive_inverse(X12)),X11))].
% 153.65/154.21  [1653=param(62,4),[],
% 153.65/154.21  			add(multiply(X11,X10),additive_inverse(multiply(X10,X12))) 	= add(commutator(X10,X11),multiply(X10,add(X11,additive_inverse(X12))))].
% 153.65/154.21  [1708=param(129,129),[],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(add(X12,additive_inverse(X13))))) 	= add(X11,additive_inverse(add(X12,additive_inverse(add(X10,X13)))))].
% 153.65/154.21  [1717=param(127,127),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,additive_inverse(add(X12,X13))))) 	= additive_inverse(add(X11,additive_inverse(add(X12,add(X10,X13)))))].
% 153.65/154.21  [1718=param(127,129),[],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,add(X12,additive_inverse(X13))))) 	= additive_inverse(add(X11,add(X12,additive_inverse(add(X10,X13)))))].
% 153.65/154.21  [1721=param(125,18),[],
% 153.65/154.21  			add(multiply(X10,X11),add(X12,additive_inverse(multiply(X10,add(X13,X11))))) 	= add(X12,additive_inverse(multiply(X10,X13)))].
% 153.65/154.21  [1786=param(103,60),[],
% 153.65/154.21  			add(X10,add(X11,multiply(X12,X13))) 	= add(X11,add(commutator(X13,X12),add(X10,multiply(X13,X12))))].
% 153.65/154.21  [1887=demod(50),[],
% 153.65/154.21  			add(X10,add(X11,add(X12,additive_inverse(X10)))) 	= add(X11,X12)].
% 153.65/154.21  [1922=param(109,149),[89,19],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,commutator(X12,X13)))) 	= additive_inverse(add(X11,additive_inverse(add(X10,commutator(X13,X12)))))].
% 153.65/154.21  [2203=param(134,143),[89,14,19],
% 153.65/154.21  			additive_inverse(add(X10,additive_inverse(add(X11,add(X12,additive_inverse(X13)))))) 	= add(X12,add(X11,additive_inverse(add(X10,X13))))].
% 153.65/154.21  [2395=param(134,155),[89,14,89,19,19],
% 153.65/154.21  			additive_inverse(add(X10,add(X11,additive_inverse(add(X12,additive_inverse(X13)))))) 	= add(X12,additive_inverse(add(X11,add(X10,X13))))].
% 153.65/154.21  [2711=param(214,145),[],
% 153.65/154.21  			add(commutator(X10,commutator(X11,X12)),add(X13,X14)) 	= add(X13,add(commutator(commutator(X12,X11),X10),X14))].
% 153.65/154.21  [2712=param(145,214),[],
% 153.65/154.21  			add(commutator(commutator(X10,X11),X12),add(X13,X14)) 	= add(X13,add(commutator(X12,commutator(X11,X10)),X14))].
% 153.65/154.21  [9986=param(1721,65),[1652,100,7],
% 153.65/154.21  			add(commutator(add(X12,X10),X11),additive_inverse(multiply(X11,X12))) 	= add(commutator(X10,X11),additive_inverse(multiply(X12,X11)))].
% 153.65/154.21  [9999=param(1537,9986),[1887],
% 153.65/154.21  			add(commutator(X10,X11),commutator(X12,X11)) 	= commutator(add(X10,X12),X11)].
% 153.65/154.21  [10000=param(14,9999),[],
% 153.65/154.21  			add(commutator(add(X10,X11),X12),X13) 	= add(commutator(X10,X12),add(commutator(X11,X12),X13))].
% 153.65/154.21  [10235=param(9999,93),[],
% 153.65/154.21  			add(commutator(X10,X11),additive_inverse(commutator(X12,X11))) 	= commutator(add(X10,additive_inverse(X12)),X11)].
% 153.65/154.21  [10237=param(9999,94),[],
% 153.65/154.21  			add(commutator(X10,X11),additive_inverse(commutator(X11,X12))) 	= commutator(add(X10,X12),X11)].
% 153.65/154.21  [10314=param(631,9999),[],
% 153.65/154.21  			add(commutator(X12,X10),commutator(X12,X11)) 	= additive_inverse(commutator(add(X10,X11),X12))].
% 153.65/154.21  [10367=param(10314,92),[],
% 153.65/154.21  			add(commutator(X10,X11),additive_inverse(commutator(X10,X12))) 	= additive_inverse(commutator(add(X11,additive_inverse(X12)),X10))].
% 153.65/154.21  [10463=param(1887,10237),[],
% 153.65/154.21  			add(commutator(X10,X11),add(X12,commutator(add(X13,X11),X10))) 	= add(X12,commutator(X13,X10))].
% 153.65/154.21  [10797=param(146,10463),[],
% 153.65/154.21  			add(commutator(X10,add(X11,X12)),add(X13,commutator(X11,X10))) 	= add(commutator(X10,X12),X13)].
% 153.65/154.21  [10813=param(146,10797),[],
% 153.65/154.21  			add(commutator(X10,add(X11,X12)),X13) 	= add(commutator(X10,X11),add(commutator(X10,X12),X13))].
% 153.65/154.21  [12117=param(103,65),[],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(multiply(X12,X13)))) 	= add(X11,add(commutator(X12,X13),add(X10,additive_inverse(multiply(X13,X12)))))].
% 153.65/154.21  [12185=param(107,107),[14,89],
% 153.65/154.21  			add(X10,additive_inverse(add(X11,add(X12,additive_inverse(X13))))) 	= add(X13,additive_inverse(add(X11,additive_inverse(add(X10,additive_inverse(X12))))))].
% 153.65/154.21  [12234=param(103,112),[],
% 153.65/154.21  			add(X10,additive_inverse(add(commutator(X11,X12),additive_inverse(add(X13,X14))))) 	= add(commutator(X12,X11),add(X13,add(X10,X14)))].
% 153.65/154.21  [12235=param(103,112),[],
% 153.65/154.21  			add(X10,add(X11,additive_inverse(add(commutator(X12,X13),additive_inverse(X14))))) 	= add(X11,add(commutator(X13,X12),add(X10,X14)))].
% 153.65/154.21  [12365=param(10813,60),[],
% 153.65/154.21  			add(commutator(X10,multiply(X11,X12)),X13) 	= add(commutator(X10,commutator(X12,X11)),add(commutator(X10,multiply(X12,X11)),X13))].
% 153.65/154.21  [12382=param(134,102),[14,14],
% 153.65/154.21  			additive_inverse(add(X10,add(X11,add(X12,add(X13,X14))))) 	= additive_inverse(add(X11,add(X12,add(X13,add(X10,X14)))))].
% 153.65/154.21  [12466=param(10000,60),[],
% 153.65/154.21  			add(commutator(multiply(X10,X11),X12),X13) 	= add(commutator(commutator(X11,X10),X12),add(commutator(multiply(X11,X10),X12),X13))].
% 153.65/154.21  [12770=param(37,437),[],
% 153.65/154.21  			add(X10,add(commutator(X11,X12),multiply(add(X11,X13),X12))) 	= add(multiply(X12,X11),add(X10,multiply(X13,X12)))].
% 153.65/154.21  [12777=param(352,60),[],
% 153.65/154.21  			add(multiply(X10,multiply(X11,X12)),X13) 	= add(multiply(X10,commutator(X12,X11)),add(multiply(X10,multiply(X12,X11)),X13))].
% 153.65/154.21  [12796=param(347,60),[],
% 153.65/154.21  			add(multiply(multiply(X10,X11),X12),X13) 	= add(multiply(commutator(X11,X10),X12),add(multiply(multiply(X11,X10),X12),X13))].
% 153.65/154.21  [15054=param(353,60),[],
% 153.65/154.21  			add(X10,multiply(X11,multiply(X12,X13))) 	= add(multiply(X11,multiply(X13,X12)),add(multiply(X11,commutator(X13,X12)),X10))].
% 153.65/154.21  [16148=param(103,62),[],
% 153.65/154.21  			add(X10,add(X11,add(multiply(X12,X13),X14))) 	= add(commutator(X13,X12),add(multiply(X13,X12),add(X10,add(X11,X14))))].
% 153.65/154.21  [16149=param(103,62),[],
% 153.65/154.21  			add(X10,add(commutator(X11,X12),add(multiply(X11,X12),add(X13,X14)))) 	= add(multiply(X12,X11),add(X13,add(X10,X14)))].
% 153.65/154.21  [16155=param(103,102),[],
% 153.65/154.21  			add(X10,add(X11,add(X12,add(X13,add(X14,X15))))) 	= add(X11,add(X15,add(X10,add(X12,add(X13,X14)))))].
% 153.65/154.21  [21245=param(352,195),[5,89,352,5,89,19],
% 153.65/154.21  			additive_inverse(add(multiply(X10,commutator(X11,X12)),additive_inverse(add(multiply(X10,X13),X14)))) 	= add(multiply(X10,X13),add(multiply(X10,commutator(X12,X11)),X14))].
% 153.65/154.21  [21250=param(10813,195),[92,89,10813,92,89,19],
% 153.65/154.21  			additive_inverse(add(commutator(X10,commutator(X11,X12)),additive_inverse(add(commutator(X10,X13),X14)))) 	= add(commutator(X10,X13),add(commutator(X10,commutator(X12,X11)),X14))].
% 153.75/154.23  [26075=param(352,311),[352],
% 153.75/154.23  			add(multiply(X10,X11),add(multiply(X10,commutator(X12,commutator(X13,X14))),X15)) 	= add(multiply(X10,commutator(commutator(X14,X13),X12)),add(multiply(X10,X11),X15))].
% 153.75/154.23  [26884=param(103,334),[],
% 153.75/154.23  			add(X10,add(commutator(commutator(X11,X12),X13),add(X14,X15))) 	= add(commutator(X13,commutator(X12,X11)),add(X14,add(X10,X15)))].
% 153.75/154.23  [28136=param(26,15),[105,12777,12365,-12234,57,92,89,19,19,-2712,57,92,57,19,105,12777,12365,-12234,57,92,89,19,19,-2712,57,92,57,19,352,352,352,352,5,89,14,14,14,14,15,-219,19,62,437,57,92,-12235,57,92,89,19,19,-12235,57,92,89,19,19,1887,-123,-12770,57,92,60,89,118,19,89,118,19,16148,57,92,16148,57,92,16148,57,92,1708,89,12777,19,-21245,57,92,5,136,89,19,19,62,26075,57,92,57,19,89,118,19,62,26075,57,92,57,19,89,118,19,62,26075,57,92,57,19,89,118,19,-2395,1718,62,12777,12796,62,12777,62,-16149,57,92,-16149,57,92,62,-16149,57,92,62,-16149,57,92,62,89,118,19,89,118,19,89,118,19,62,-12234,57,92,-2395,89,19,19,26884,57,92,57,92,93,19,-2711,57,92,57,92,93,19,19,-2711,57,92,57,92,93,19,89,118,19,-12234,57,92,12382,89,19,19,-2711,57,92,57,92,93,19,-2711,57,92,57,92,93,19,12365,57,92,89,118,19,-2711,57,92,57,92,93,19,12365,57,92,12466,89,12365,57,92,89,19,1708,118,19,-2395,-219,19,-21250,57,92,92,89,19,19,-2395,-219,19,19,-21250,57,92,92,89,19,19,19,-2395,-219,19,19,-21250,57,92,92,89,19,19,-2395,1717,19,-21250,57,92,92,89,19,19,19,26884,57,92,57,92,93,19,-2203,-2395,1717,89,127,19,19,-2395,-219,19,-219,19,19,-219,19,19,62,26884,57,92,57,92,93,19,-2203,-2395,1717,16148,57,92,16148,57,92,16148,57,92,16148,57,92,12117,57,92,3,20,22,15,24,62,-492,57,92,89,118,19,62,-12234,57,92,89,19,19,-2711,57,92,57,92,93,19,89,118,19,62,-12234,57,92,89,19,19,-2711,57,92,57,92,93,19,89,118,19,62,-12234,57,92,89,19,19,-2711,57,92,57,92,93,19,89,118,19,19,-2395,-219,19,-219,19,19,-219,19,19,26884,57,92,57,92,93,19,-2203,-2395,1717,16148,57,92,16148,57,92,16148,57,92,1887,62,1786,57,92,17,60,89,-219,19,-448,57,92,89,19,12365,57,92,89,19,129,118,19,89,1717,62,-2711,57,92,57,92,93,19,1717,89,118,19,1717,62,-2711,57,92,57,92,93,19,-219,19,89,118,19,-219,19,19,-2711,57,92,57,92,93,19,19,-2711,57,92,57,92,93,19,26884,57,92,57,92,93,19,-219,19,1708,-219,19,1708,26884,57,92,57,92,93,19,-2395,1718,16155,18,60,36,15,-427,57,92,89,12365,57,92,12466,89,12365,57,92,89,19,1717,1718,12117,1653,57,92,65,5,89,19,12365,-2395,12365,57,92,12466,89,12365,57,92,89,19,118,19,129,1717,-427,57,92,89,12365,57,92,89,19,1708,118,19,118,19,1717,1718,12117,1652,57,92,3,20,22,22,15,24,20,-190,57,92,24,89,65,19,1717,1718,18,15054,-21245,57,92,5,89,19,19,19,1708,26884,57,92,57,92,93,19,4,127,5,1708,26884,57,92,57,92,93,19,4,1922,57,92,10367,1652,57,92,20,22,15,24,57,19,19,-190,57,92,1786,89,118,19,60,5,19,1708,26884,57,92,57,92,93,19,4,65,5,1708,1887,9999,60,1717,10235,1652,57,92,20,22,15,24,93,-12185,20,15,24,-98,10237,60,57,92,19,10367,1652,57,92,20,22,15,24,93,19,20,25],
% 153.75/154.23  			thmtrue 	= thmfalse].
% 153.75/154.23  % SZS output end CNFRefutation
% 153.75/154.23  Space: 515946 KB 
%------------------------------------------------------------------------------