TSTP Solution File: RNG021-6 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : RNG021-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n020.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 20:27:48 EDT 2022
% Result : Unsatisfiable 186.97s 187.48s
% Output : CNFRefutation 186.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : RNG021-6 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.14 % Command : fiesta-wrapper %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 16:39:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 186.97/187.48 Theorem Proved.
% 186.97/187.48 % SZS status Unsatisfiable
% 186.97/187.48 % SZS output start CNFRefutation
% 186.97/187.48 [1=axiom,[],
% 186.97/187.48 add(multiply(X11,X10),additive_inverse(multiply(X10,X11))) = commutator(X10,X11)].
% 186.97/187.48 [2=axiom,[],
% 186.97/187.48 associator(X10,X11,X12) = add(multiply(multiply(X10,X11),X12),additive_inverse(multiply(X10,multiply(X11,X12))))].
% 186.97/187.48 [5=axiom,[],
% 186.97/187.48 add(add(X10,X11),X12) = add(X10,add(X11,X12))].
% 186.97/187.48 [6=axiom,[],
% 186.97/187.48 add(X10,X11) = add(X11,X10)].
% 186.97/187.48 [7=demod(2),[6],
% 186.97/187.48 associator(X10,X11,X12) = add(additive_inverse(multiply(X10,multiply(X11,X12))),multiply(multiply(X10,X11),X12))].
% 186.97/187.48 [8=axiom,[],
% 186.97/187.48 add(multiply(X10,X12),multiply(X11,X12)) = multiply(add(X10,X11),X12)].
% 186.97/187.48 [9=axiom,[],
% 186.97/187.48 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))].
% 186.97/187.48 [10=axiom,[],
% 186.97/187.48 additive_inverse(additive_inverse(X10)) = X10].
% 186.97/187.48 [11=axiom,[],
% 186.97/187.48 add(X10,additive_inverse(X10)) = additive_identity].
% 186.97/187.48 [12=axiom,[],
% 186.97/187.48 multiply(X10,additive_identity) = additive_identity].
% 186.97/187.48 [13=axiom,[],
% 186.97/187.48 multiply(additive_identity,X10) = additive_identity].
% 186.97/187.48 [14=axiom,[],
% 186.97/187.48 add(X10,additive_identity) = X10].
% 186.97/187.48 [15=axiom,[],
% 186.97/187.48 add(additive_identity,X10) = X10].
% 186.97/187.48 [16=axiom,[],
% 186.97/187.48 thtop(X10,X10) = thmfalse].
% 186.97/187.48 [17=axiom,[6,7,7,7,5],
% 186.97/187.48 thtop(add(additive_inverse(multiply(add(v,u),multiply(x,y))),multiply(multiply(add(v,u),x),y)),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(u,x),y),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y))))) = thmtrue].
% 186.97/187.48 [23=param(11,15),[],
% 186.97/187.48 additive_inverse(additive_identity) = additive_identity].
% 186.97/187.48 [25=param(5,11),[15],
% 186.97/187.48 add(X11,add(additive_inverse(X11),X10)) = X10].
% 186.97/187.48 [26=param(6,1),[],
% 186.97/187.48 add(additive_inverse(multiply(X10,X11)),multiply(X11,X10)) = commutator(X10,X11)].
% 186.97/187.48 [27=param(6,5),[],
% 186.97/187.48 add(X10,add(X11,X12)) = add(X11,add(X12,X10))].
% 186.97/187.48 [28=param(5,6),[5],
% 186.97/187.48 add(X10,add(X11,X12)) = add(X11,add(X10,X12))].
% 186.97/187.48 [30=param(25,6),[5],
% 186.97/187.48 add(additive_inverse(X11),add(X10,X11)) = X10].
% 186.97/187.48 [31=param(25,6),[],
% 186.97/187.48 add(X10,add(X11,additive_inverse(X10))) = X11].
% 186.97/187.48 [32=param(31,1),[6],
% 186.97/187.48 add(commutator(X10,X11),multiply(X10,X11)) = multiply(X11,X10)].
% 186.97/187.48 [39=param(30,6),[],
% 186.97/187.48 add(additive_inverse(X10),add(X10,X11)) = X11].
% 186.97/187.48 [42=param(30,30),[6],
% 186.97/187.48 add(X10,additive_inverse(add(X10,X11))) = additive_inverse(X11)].
% 186.97/187.48 [43=param(39,1),[6],
% 186.97/187.48 add(commutator(X10,X11),additive_inverse(multiply(X11,X10))) = additive_inverse(multiply(X10,X11))].
% 186.97/187.48 [46=param(30,39),[6],
% 186.97/187.48 add(X10,additive_inverse(add(X11,X10))) = additive_inverse(X11)].
% 186.97/187.48 [53=param(46,5),[],
% 186.97/187.48 add(X10,additive_inverse(add(X11,add(X12,X10)))) = additive_inverse(add(X11,X12))].
% 186.97/187.48 [55=param(46,8),[],
% 186.97/187.48 add(multiply(X10,X11),additive_inverse(multiply(add(X12,X10),X11))) = additive_inverse(multiply(X12,X11))].
% 186.97/187.48 [56=param(46,9),[],
% 186.97/187.48 add(multiply(X10,X11),additive_inverse(multiply(X10,add(X12,X11)))) = additive_inverse(multiply(X10,X12))].
% 186.97/187.48 [57=param(25,46),[],
% 186.97/187.48 add(X10,additive_inverse(X11)) = additive_inverse(add(X11,additive_inverse(X10)))].
% 186.97/187.48 [58=param(39,46),[],
% 186.97/187.48 add(additive_inverse(X10),additive_inverse(X11)) = additive_inverse(add(X11,X10))].
% 186.97/187.48 [62=param(39,42),[],
% 186.97/187.48 add(additive_inverse(X10),additive_inverse(X11)) = additive_inverse(add(X10,X11))].
% 186.97/187.48 [63=demod(58),[62],
% 186.97/187.48 additive_inverse(add(X10,X11)) = additive_inverse(add(X11,X10))].
% 186.97/187.48 [65=param(62,10),[],
% 186.97/187.48 add(additive_inverse(X10),X11) = additive_inverse(add(X10,additive_inverse(X11)))].
% 186.97/187.48 [67=demod(26),[65,1],
% 186.97/187.48 additive_inverse(commutator(X10,X11)) = commutator(X11,X10)].
% 186.97/187.48 [72=param(11,67),[],
% 186.97/187.48 add(commutator(X10,X11),commutator(X11,X10)) = additive_identity].
% 186.97/187.48 [73=param(65,67),[],
% 186.97/187.48 add(commutator(X10,X11),X12) = additive_inverse(add(commutator(X11,X10),additive_inverse(X12)))].
% 186.97/187.48 [74=param(5,72),[15],
% 186.97/187.48 add(commutator(X11,X12),add(commutator(X12,X11),X10)) = X10].
% 186.97/187.48 [82=param(27,65),[],
% 186.97/187.48 add(X10,additive_inverse(add(X11,additive_inverse(X12)))) = add(X12,add(X10,additive_inverse(X11)))].
% 186.97/187.48 [83=param(27,72),[14],
% 186.97/187.48 add(commutator(X11,X12),add(X10,commutator(X12,X11))) = X10].
% 186.97/187.48 [84=param(63,5),[],
% 186.97/187.48 additive_inverse(add(X10,add(X11,X12))) = additive_inverse(add(X12,add(X10,X11)))].
% 186.97/187.48 [88=param(5,32),[],
% 186.97/187.48 add(multiply(X10,X11),X12) = add(commutator(X11,X10),add(multiply(X11,X10),X12))].
% 186.97/187.48 [89=param(27,32),[],
% 186.97/187.48 add(X10,multiply(X11,X12)) = add(multiply(X12,X11),add(X10,commutator(X12,X11)))].
% 186.97/187.48 [94=param(28,42),[],
% 186.97/187.48 add(X12,add(X10,additive_inverse(add(X12,X11)))) = add(X10,additive_inverse(X11))].
% 186.97/187.48 [95=param(28,46),[],
% 186.97/187.48 add(X12,add(X10,additive_inverse(add(X11,X12)))) = add(X10,additive_inverse(X11))].
% 186.97/187.48 [97=param(28,65),[65],
% 186.97/187.48 add(X10,additive_inverse(add(X11,additive_inverse(X12)))) = additive_inverse(add(X11,additive_inverse(add(X10,X12))))].
% 186.97/187.48 [99=demod(31),[],
% 186.97/187.48 add(X10,add(X11,additive_inverse(X10))) = X11].
% 186.97/187.48 [102=param(5,83),[5],
% 186.97/187.48 add(commutator(X12,X13),add(X10,add(commutator(X13,X12),X11))) = add(X10,X11)].
% 186.97/187.48 [103=param(28,83),[],
% 186.97/187.48 add(commutator(X12,X13),add(X10,add(X11,commutator(X13,X12)))) = add(X10,X11)].
% 186.97/187.48 [153=param(53,6),[],
% 186.97/187.48 add(X10,additive_inverse(add(X11,add(X10,X12)))) = additive_inverse(add(X11,X12))].
% 186.97/187.48 [157=param(55,11),[13,23,6,15],
% 186.97/187.48 multiply(additive_inverse(X10),X11) = additive_inverse(multiply(X10,X11))].
% 186.97/187.48 [161=param(1,157),[65,10],
% 186.97/187.48 additive_inverse(add(multiply(X10,X11),multiply(X11,additive_inverse(X10)))) = commutator(X11,additive_inverse(X10))].
% 186.97/187.48 [163=param(8,157),[],
% 186.97/187.48 add(multiply(X10,X11),additive_inverse(multiply(X12,X11))) = multiply(add(X10,additive_inverse(X12)),X11)].
% 186.97/187.48 [166=param(56,11),[12,23,6,15],
% 186.97/187.48 multiply(X10,additive_inverse(X11)) = additive_inverse(multiply(X10,X11))].
% 186.97/187.48 [168=demod(161),[166,1],
% 186.97/187.48 commutator(X10,additive_inverse(X11)) = additive_inverse(commutator(X10,X11))].
% 186.97/187.48 [170=param(67,168),[10],
% 186.97/187.48 commutator(X10,X11) = commutator(additive_inverse(X11),X10)].
% 186.97/187.48 [177=param(170,67),[],
% 186.97/187.48 commutator(additive_inverse(X10),X11) = additive_inverse(commutator(X10,X11))].
% 186.97/187.48 [178=param(177,57),[],
% 186.97/187.48 commutator(add(X10,additive_inverse(X11)),X12) = additive_inverse(commutator(add(X11,additive_inverse(X10)),X12))].
% 186.97/187.48 [179=param(177,63),[177],
% 186.97/187.48 additive_inverse(commutator(add(X10,X11),X12)) = additive_inverse(commutator(add(X11,X10),X12))].
% 186.97/187.48 [208=param(84,57),[65,10],
% 186.97/187.48 additive_inverse(add(X10,additive_inverse(add(X11,additive_inverse(X12))))) = add(X11,additive_inverse(add(X10,X12)))].
% 186.97/187.48 [209=param(10,179),[10],
% 186.97/187.48 commutator(add(X10,X11),X12) = commutator(add(X11,X10),X12)].
% 186.97/187.48 [230=param(209,67),[],
% 186.97/187.48 commutator(add(X10,X11),X12) = additive_inverse(commutator(X12,add(X11,X10)))].
% 186.97/187.48 [246=param(67,230),[10],
% 186.97/187.48 commutator(X10,add(X11,X12)) = commutator(X10,add(X12,X11))].
% 186.97/187.48 [250=param(230,230),[10],
% 186.97/187.48 commutator(add(X10,X11),add(X12,X13)) = commutator(add(X11,X10),add(X13,X12))].
% 186.97/187.48 [302=param(67,178),[10],
% 186.97/187.48 commutator(add(X10,additive_inverse(X11)),X12) = commutator(X12,add(X11,additive_inverse(X10)))].
% 186.97/187.48 [337=param(5,9),[],
% 186.97/187.48 add(multiply(X10,add(X11,X12)),X13) = add(multiply(X10,X11),add(multiply(X10,X12),X13))].
% 186.97/187.48 [342=param(28,1),[],
% 186.97/187.48 add(multiply(X12,X11),add(X10,additive_inverse(multiply(X11,X12)))) = add(X10,commutator(X11,X12))].
% 186.97/187.48 [356=param(28,43),[],
% 186.97/187.48 add(X10,additive_inverse(multiply(X11,X12))) = add(commutator(X11,X12),add(X10,additive_inverse(multiply(X12,X11))))].
% 186.97/187.48 [396=param(94,74),[],
% 186.97/187.48 add(commutator(X10,X11),add(X12,additive_inverse(X13))) = add(X12,additive_inverse(add(commutator(X11,X10),X13)))].
% 186.97/187.48 [397=param(73,27),[],
% 186.97/187.48 additive_inverse(add(commutator(X10,X11),additive_inverse(add(X12,X13)))) = add(X12,add(X13,commutator(X11,X10)))].
% 186.97/187.48 [401=param(73,28),[],
% 186.97/187.48 additive_inverse(add(commutator(X10,X11),additive_inverse(add(X12,X13)))) = add(X12,add(commutator(X11,X10),X13))].
% 186.97/187.48 [418=param(230,246),[],
% 186.97/187.48 additive_inverse(commutator(add(X10,X11),add(X12,X13))) = commutator(add(X13,X12),add(X11,X10))].
% 186.97/187.48 [569=param(88,8),[],
% 186.97/187.48 add(multiply(X11,X10),multiply(X12,X11)) = add(commutator(X10,X11),multiply(add(X10,X12),X11))].
% 186.97/187.48 [570=param(88,9),[],
% 186.97/187.48 add(multiply(X11,X10),multiply(X10,X12)) = add(commutator(X10,X11),multiply(X10,add(X11,X12)))].
% 186.97/187.48 [573=param(570,8),[],
% 186.97/187.48 add(commutator(X10,X11),multiply(X10,add(X11,X10))) = multiply(add(X11,X10),X10)].
% 186.97/187.48 [575=param(46,573),[1,170,177],
% 186.97/187.48 additive_inverse(commutator(X10,add(X11,X10))) = additive_inverse(commutator(X10,X11))].
% 186.97/187.48 [588=param(10,575),[10],
% 186.97/187.48 commutator(X10,add(X11,X10)) = commutator(X10,X11)].
% 186.97/187.48 [589=param(588,5),[],
% 186.97/187.48 commutator(X10,add(X11,add(X12,X10))) = commutator(X10,add(X11,X12))].
% 186.97/187.48 [590=param(588,6),[],
% 186.97/187.48 commutator(X10,add(X10,X11)) = commutator(X10,X11)].
% 186.97/187.48 [595=param(588,28),[],
% 186.97/187.48 commutator(add(X10,X11),add(X10,add(X12,X11))) = commutator(add(X10,X11),X12)].
% 186.97/187.48 [625=param(590,82),[],
% 186.97/187.48 commutator(X10,add(X11,additive_inverse(add(X12,additive_inverse(X10))))) = commutator(X10,add(X11,additive_inverse(X12)))].
% 186.97/187.48 [628=param(590,94),[],
% 186.97/187.48 commutator(X10,add(X11,additive_inverse(add(X10,X12)))) = commutator(X10,add(X11,additive_inverse(X12)))].
% 186.97/187.48 [786=param(625,46),[10],
% 186.97/187.48 commutator(add(X10,X11),add(X12,X10)) = commutator(add(X10,X11),add(X12,additive_inverse(X11)))].
% 186.97/187.48 [1380=param(786,418),[65,177,10],
% 186.97/187.48 commutator(add(X10,X11),add(X12,X10)) = commutator(add(X11,additive_inverse(X12)),add(X11,X10))].
% 186.97/187.48 [1447=param(1380,250),[],
% 186.97/187.48 commutator(add(X10,additive_inverse(X11)),add(X10,X12)) = commutator(add(X10,X12),add(X12,X11))].
% 186.97/187.48 [1461=param(1447,302),[10],
% 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X11,additive_inverse(X12)),add(X10,X12))].
% 186.97/187.48 [1477=param(1461,418),[65,168,10],
% 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X12,X10),add(X12,additive_inverse(X11)))].
% 186.97/187.48 [1486=param(1477,302),[10],
% 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X11,X10),add(X12,additive_inverse(X11)))].
% 186.97/187.48 [1499=param(1486,418),[65,177,10],
% 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X11,additive_inverse(X12)),add(X10,X11))].
% 186.97/187.48 [1504=param(1499,302),[10],
% 186.97/187.48 commutator(add(X10,X11),add(X12,X10)) = commutator(add(X11,additive_inverse(X12)),add(X12,X10))].
% 186.97/187.48 [1727=param(153,95),[],
% 186.97/187.48 add(X10,additive_inverse(add(X11,add(X12,additive_inverse(X13))))) = additive_inverse(add(X11,add(X12,additive_inverse(add(X13,X10)))))].
% 186.97/187.48 [1733=param(94,9),[],
% 186.97/187.48 add(multiply(X10,X11),add(X12,additive_inverse(multiply(X10,add(X11,X13))))) = add(X12,additive_inverse(multiply(X10,X13)))].
% 186.97/187.48 [1901=param(27,88),[],
% 186.97/187.48 add(X10,add(commutator(X11,X12),add(multiply(X11,X12),X13))) = add(X13,add(X10,multiply(X12,X11)))].
% 186.97/187.48 [1930=param(88,163),[],
% 186.97/187.48 add(multiply(X11,X10),additive_inverse(multiply(X12,X11))) = add(commutator(X10,X11),multiply(add(X10,additive_inverse(X12)),X11))].
% 186.97/187.48 [2028=param(97,97),[10],
% 186.97/187.48 additive_inverse(add(X10,add(X11,additive_inverse(add(X12,additive_inverse(X13)))))) = add(X12,additive_inverse(add(X10,add(X11,X13))))].
% 186.97/187.48 [6678=param(1733,43),[1930,42,157],
% 186.97/187.48 add(commutator(add(X10,X12),X11),additive_inverse(multiply(X11,X12))) = add(commutator(X10,X11),additive_inverse(multiply(X12,X11)))].
% 186.97/187.48 [6682=param(99,6678),[342],
% 186.97/187.48 add(commutator(X10,X11),commutator(X12,X11)) = commutator(add(X10,X12),X11)].
% 186.97/187.48 [6691=param(5,6682),[],
% 186.97/187.48 add(commutator(add(X10,X11),X12),X13) = add(commutator(X10,X12),add(commutator(X11,X12),X13))].
% 186.97/187.48 [6935=param(102,6682),[],
% 186.97/187.48 add(commutator(X10,X11),add(X12,commutator(add(X11,X13),X10))) = add(X12,commutator(X13,X10))].
% 186.97/187.48 [7000=param(6682,590),[],
% 186.97/187.48 add(commutator(X10,X11),commutator(X12,add(X10,X11))) = commutator(add(X10,X12),add(X10,X11))].
% 186.97/187.48 [7354=param(7000,589),[595],
% 186.97/187.48 add(commutator(X10,add(X11,X12)),commutator(X12,add(X10,X11))) = commutator(add(X10,X12),X11)].
% 186.97/187.48 [7426=param(7354,246),[],
% 186.97/187.48 add(commutator(X10,add(X11,X12)),commutator(X11,add(X10,X12))) = commutator(add(X10,X11),X12)].
% 186.97/187.48 [7442=param(7426,1504),[5,65,628,10,99],
% 186.97/187.48 add(commutator(X10,add(X11,X12)),commutator(add(X12,X11),add(X10,X12))) = commutator(X11,X12)].
% 186.97/187.48 [7502=param(103,6935),[-397],
% 186.97/187.48 additive_inverse(add(commutator(X10,X11),additive_inverse(add(commutator(X10,add(X12,X11)),X13)))) = add(commutator(X10,X12),X13)].
% 186.97/187.48 [7599=param(5,7442),[6691,588,-401,7502],
% 186.97/187.48 add(commutator(X13,X10),add(commutator(X10,add(X13,X11)),X12)) = add(commutator(X10,X11),X12)].
% 186.97/187.48 [7615=param(74,7599),[],
% 186.97/187.48 add(commutator(X10,add(X11,X12)),X13) = add(commutator(X10,X11),add(commutator(X10,X12),X13))].
% 186.97/187.48 [9194=param(17,1901),[89,6,356,170,177,6,65,337,88,88,-401,170,177,65,10,10,-396,170,177,-396,170,177,-2028,10,65,7615,170,177,170,177,65,10,65,10,10,-396,170,177,-396,170,177,65,65,10,-396,170,177,-396,170,177,10,65,65,10,10,65,153,10,65,42,10,1727,32,569,170,177,8,65,42,10,65,-208,10,65,10,16],
% 186.97/187.50 thmtrue = thmfalse].
% 186.97/187.50 % SZS output end CNFRefutation
% 186.97/187.50 Space: 532467 KB
%------------------------------------------------------------------------------