TSTP Solution File: RNG009-7 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : RNG009-7 : 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 20:27:47 EDT 2022
% Result : Unsatisfiable 2.29s 2.68s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG009-7 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n020.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 20:26:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.29/2.68 Theorem Proved.
% 2.29/2.68 % SZS status Unsatisfiable
% 2.29/2.68 % SZS output start CNFRefutation
% 2.29/2.68 [1=axiom,[],
% 2.29/2.68 multiply(a,b) = c].
% 2.29/2.68 [2=axiom,[],
% 2.29/2.68 multiply(X10,multiply(X10,X10)) = X10].
% 2.29/2.68 [3=axiom,[],
% 2.29/2.68 add(multiply(X10,X12),multiply(X11,X12)) = multiply(add(X10,X11),X12)].
% 2.29/2.68 [4=axiom,[],
% 2.29/2.68 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))].
% 2.29/2.68 [5=axiom,[],
% 2.29/2.68 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 2.29/2.68 [6=axiom,[],
% 2.29/2.68 add(X10,X11) = add(X11,X10)].
% 2.29/2.68 [7=axiom,[],
% 2.29/2.68 add(add(X10,X11),X12) = add(X10,add(X11,X12))].
% 2.29/2.68 [8=axiom,[],
% 2.29/2.68 add(X10,additive_inverse(X10)) = additive_identity].
% 2.29/2.68 [9=axiom,[],
% 2.29/2.68 add(X10,additive_identity) = X10].
% 2.29/2.68 [10=axiom,[],
% 2.29/2.68 add(additive_identity,X10) = X10].
% 2.29/2.68 [11=axiom,[],
% 2.29/2.68 thtop(X10,X10) = thmfalse].
% 2.29/2.68 [12=axiom,[],
% 2.29/2.68 thtop(multiply(b,a),c) = thmtrue].
% 2.29/2.68 [13=param(8,10),[],
% 2.29/2.68 additive_inverse(additive_identity) = additive_identity].
% 2.29/2.68 [14=param(3,1),[],
% 2.29/2.68 multiply(add(a,X10),b) = add(c,multiply(X10,b))].
% 2.29/2.68 [19=param(14,8),[],
% 2.29/2.68 add(c,multiply(additive_inverse(a),b)) = multiply(additive_identity,b)].
% 2.29/2.68 [20=param(14,9),[1],
% 2.29/2.68 add(c,multiply(additive_identity,b)) = c].
% 2.29/2.68 [21=param(4,1),[],
% 2.29/2.68 multiply(a,add(b,X10)) = add(c,multiply(a,X10))].
% 2.29/2.68 [23=param(4,2),[],
% 2.29/2.68 multiply(X10,add(multiply(X10,X10),X11)) = add(X10,multiply(X10,X11))].
% 2.29/2.68 [26=param(4,6),[4],
% 2.29/2.68 multiply(X10,add(X11,X12)) = multiply(X10,add(X12,X11))].
% 2.29/2.68 [29=param(5,1),[],
% 2.29/2.68 multiply(a,multiply(b,X10)) = multiply(c,X10)].
% 2.29/2.68 [30=param(5,2),[5],
% 2.29/2.68 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11))))) = multiply(X10,X11)].
% 2.29/2.68 [31=param(5,2),[5],
% 2.29/2.68 multiply(X10,multiply(X10,multiply(X10,X11))) = multiply(X10,X11)].
% 2.29/2.68 [33=param(5,21),[],
% 2.29/2.68 multiply(a,multiply(add(b,X10),X11)) = multiply(add(c,multiply(a,X10)),X11)].
% 2.29/2.68 [34=param(29,2),[1],
% 2.29/2.68 multiply(c,multiply(b,b)) = c].
% 2.29/2.68 [37=param(7,6),[],
% 2.29/2.68 add(X10,add(X11,X12)) = add(X12,add(X10,X11))].
% 2.29/2.68 [38=param(7,6),[7],
% 2.29/2.68 add(X10,add(X11,X12)) = add(X11,add(X10,X12))].
% 2.29/2.68 [40=param(7,8),[10],
% 2.29/2.68 add(X11,add(additive_inverse(X11),X10)) = X10].
% 2.29/2.68 [41=param(7,20),[],
% 2.29/2.68 add(c,add(multiply(additive_identity,b),X10)) = add(c,X10)].
% 2.29/2.68 [44=param(4,34),[],
% 2.29/2.68 multiply(c,add(multiply(b,b),X10)) = add(c,multiply(c,X10))].
% 2.29/2.68 [46=param(5,34),[5],
% 2.29/2.68 multiply(c,multiply(b,multiply(b,X10))) = multiply(c,X10)].
% 2.29/2.68 [47=param(40,6),[],
% 2.29/2.68 add(X10,add(X11,additive_inverse(X10))) = X11].
% 2.29/2.68 [48=param(40,7),[],
% 2.29/2.68 add(X11,add(X12,add(additive_inverse(add(X11,X12)),X10))) = X10].
% 2.29/2.68 [49=param(40,8),[9],
% 2.29/2.68 additive_inverse(additive_inverse(X10)) = X10].
% 2.29/2.68 [80=param(4,46),[4],
% 2.29/2.68 multiply(c,add(multiply(b,multiply(b,X10)),X11)) = multiply(c,add(X10,X11))].
% 2.29/2.68 [97=param(23,3),[],
% 2.29/2.68 add(X10,multiply(X10,multiply(X11,X10))) = multiply(X10,multiply(add(X10,X11),X10))].
% 2.29/2.68 [100=param(23,9),[2],
% 2.29/2.68 add(X10,multiply(X10,additive_identity)) = X10].
% 2.29/2.68 [106=param(100,10),[],
% 2.29/2.68 multiply(additive_identity,additive_identity) = additive_identity].
% 2.29/2.68 [108=param(40,100),[8],
% 2.29/2.68 multiply(additive_inverse(X10),additive_identity) = additive_identity].
% 2.29/2.68 [113=param(3,108),[6,10],
% 2.29/2.68 multiply(add(X10,additive_inverse(X11)),additive_identity) = multiply(X10,additive_identity)].
% 2.29/2.68 [139=param(4,26),[4,7,7],
% 2.29/2.68 multiply(X10,add(X11,add(X12,X13))) = multiply(X10,add(X12,add(X11,X13)))].
% 2.29/2.68 [154=param(30,29),[29],
% 2.29/2.68 multiply(b,multiply(c,multiply(c,a))) = multiply(b,a)].
% 2.29/2.68 [155=param(29,30),[29],
% 2.29/2.68 multiply(c,multiply(X10,multiply(b,multiply(X10,multiply(b,X10))))) = multiply(c,X10)].
% 2.29/2.68 [159=param(31,1),[1],
% 2.29/2.68 multiply(a,multiply(a,c)) = c].
% 2.29/2.68 [160=param(4,31),[4],
% 2.29/2.68 multiply(X10,add(multiply(X10,multiply(X10,X11)),X12)) = multiply(X10,add(X11,X12))].
% 2.29/2.68 [164=param(31,29),[29],
% 2.29/2.68 multiply(a,multiply(a,multiply(c,X10))) = multiply(c,X10)].
% 2.29/2.68 [176=param(113,8),[106],
% 2.29/2.68 multiply(X10,additive_identity) = additive_identity].
% 2.29/2.68 [178=param(5,176),[],
% 2.29/2.68 multiply(X11,multiply(additive_identity,X10)) = multiply(additive_identity,X10)].
% 2.29/2.68 [198=param(164,30),[159],
% 2.29/2.68 multiply(c,multiply(a,multiply(c,multiply(a,c)))) = c].
% 2.29/2.68 [199=param(4,154),[4],
% 2.29/2.68 multiply(b,add(multiply(c,multiply(c,a)),X10)) = multiply(b,add(a,X10))].
% 2.29/2.68 [201=param(5,154),[5,5,5],
% 2.29/2.68 multiply(b,multiply(c,multiply(c,multiply(a,X10)))) = multiply(b,multiply(a,X10))].
% 2.29/2.68 [209=param(37,47),[],
% 2.29/2.68 add(additive_inverse(X10),add(X10,X11)) = X11].
% 2.29/2.68 [261=param(41,47),[8],
% 2.29/2.68 multiply(additive_identity,b) = additive_identity].
% 2.29/2.68 [266=demod(19),[261],
% 2.29/2.68 add(c,multiply(additive_inverse(a),b)) = additive_identity].
% 2.29/2.68 [290=param(44,4),[],
% 2.29/2.68 multiply(c,multiply(b,add(b,X10))) = add(c,multiply(c,multiply(b,X10)))].
% 2.29/2.68 [305=param(48,47),[],
% 2.29/2.68 add(X10,additive_inverse(add(X10,X11))) = additive_inverse(X11)].
% 2.29/2.68 [307=param(305,3),[],
% 2.29/2.68 add(multiply(X10,X11),additive_inverse(multiply(add(X10,X12),X11))) = additive_inverse(multiply(X12,X11))].
% 2.29/2.68 [308=param(305,4),[],
% 2.29/2.68 add(multiply(X10,X11),additive_inverse(multiply(X10,add(X11,X12)))) = additive_inverse(multiply(X10,X12))].
% 2.29/2.68 [309=param(305,6),[],
% 2.29/2.68 add(X10,additive_inverse(add(X11,X10))) = additive_inverse(X11)].
% 2.29/2.68 [331=param(305,209),[],
% 2.29/2.68 add(additive_inverse(X10),additive_inverse(X11)) = additive_inverse(add(X10,X11))].
% 2.29/2.68 [342=param(38,331),[],
% 2.29/2.68 add(X10,additive_inverse(add(X11,X12))) = add(additive_inverse(X11),add(X10,additive_inverse(X12)))].
% 2.29/2.68 [343=param(331,49),[],
% 2.29/2.68 add(additive_inverse(X10),X11) = additive_inverse(add(X10,additive_inverse(X11)))].
% 2.29/2.68 [374=param(309,266),[13,6,10],
% 2.29/2.68 multiply(additive_inverse(a),b) = additive_inverse(c)].
% 2.29/2.68 [378=param(3,374),[6,343],
% 2.29/2.68 additive_inverse(add(c,additive_inverse(multiply(X10,b)))) = multiply(add(X10,additive_inverse(a)),b)].
% 2.29/2.68 [521=param(80,8),[176],
% 2.29/2.68 multiply(c,add(X10,additive_inverse(multiply(b,multiply(b,X10))))) = additive_identity].
% 2.29/2.68 [568=param(14,97),[5,5,1,5,5,1],
% 2.29/2.68 multiply(a,multiply(add(a,X10),c)) = add(c,multiply(a,multiply(X10,c)))].
% 2.29/2.68 [570=param(97,178),[9,2],
% 2.29/2.68 add(X10,multiply(additive_identity,X10)) = X10].
% 2.29/2.68 [576=param(305,570),[8],
% 2.29/2.68 additive_inverse(multiply(additive_identity,X10)) = additive_identity].
% 2.29/2.68 [577=param(8,576),[6,10],
% 2.29/2.68 multiply(additive_identity,X10) = additive_identity].
% 2.29/2.68 [656=param(31,155),[2],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(b,c)))) = c].
% 2.29/2.68 [659=param(5,656),[5,5,5],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,X10))))) = multiply(c,X10)].
% 2.29/2.68 [660=param(160,8),[176],
% 2.29/2.68 multiply(X10,add(X11,additive_inverse(multiply(X10,multiply(X10,X11))))) = additive_identity].
% 2.29/2.68 [673=param(5,660),[577],
% 2.29/2.68 multiply(X10,multiply(add(X11,additive_inverse(multiply(X10,multiply(X10,X11)))),X12)) = additive_identity].
% 2.29/2.68 [710=param(199,8),[176],
% 2.29/2.68 multiply(b,add(a,additive_inverse(multiply(c,multiply(c,a))))) = additive_identity].
% 2.29/2.68 [721=param(201,30),[154],
% 2.29/2.68 multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,a))))) = multiply(b,a)].
% 2.29/2.68 [722=param(201,198),[],
% 2.29/2.68 multiply(b,multiply(a,multiply(c,multiply(a,c)))) = multiply(b,multiply(c,c))].
% 2.29/2.68 [726=param(5,521),[577],
% 2.29/2.68 multiply(c,multiply(add(X10,additive_inverse(multiply(b,multiply(b,X10)))),X11)) = additive_identity].
% 2.29/2.68 [792=param(307,8),[577,13,6,10],
% 2.29/2.68 additive_inverse(multiply(additive_inverse(X10),X11)) = multiply(X10,X11)].
% 2.29/2.68 [800=param(307,343),[792,3,-342,305],
% 2.29/2.68 multiply(additive_inverse(X10),X11) = additive_inverse(multiply(X10,X11))].
% 2.29/2.68 [855=param(308,8),[176,13,6,10],
% 2.29/2.68 additive_inverse(multiply(X10,additive_inverse(X11))) = multiply(X10,X11)].
% 2.29/2.68 [860=param(308,343),[855,4,-342,305],
% 2.29/2.68 multiply(X10,additive_inverse(X11)) = additive_inverse(multiply(X10,X11))].
% 2.29/2.68 [862=param(4,860),[],
% 2.29/2.68 add(multiply(X10,X11),additive_inverse(multiply(X10,X12))) = multiply(X10,add(X11,additive_inverse(X12)))].
% 2.29/2.68 [877=param(30,726),[176],
% 2.29/2.68 multiply(add(X10,additive_inverse(multiply(b,multiply(b,X10)))),c) = additive_identity].
% 2.29/2.68 [879=param(568,877),[176,800,5,5,860,29],
% 2.29/2.68 add(c,additive_inverse(multiply(c,multiply(b,multiply(a,c))))) = additive_identity].
% 2.29/2.68 [884=param(305,879),[13,9,49],
% 2.29/2.68 multiply(c,multiply(b,multiply(a,c))) = c].
% 2.29/2.68 [887=param(5,884),[5,5],
% 2.29/2.68 multiply(c,multiply(b,multiply(a,multiply(c,X10)))) = multiply(c,X10)].
% 2.29/2.68 [889=param(887,722),[],
% 2.29/2.68 multiply(c,multiply(a,c)) = multiply(c,multiply(b,multiply(c,c)))].
% 2.29/2.68 [894=param(887,721),[],
% 2.29/2.68 multiply(c,multiply(a,multiply(c,a))) = multiply(c,multiply(b,a))].
% 2.29/2.68 [901=param(30,673),[176],
% 2.29/2.68 multiply(add(X10,additive_inverse(multiply(X11,multiply(X11,X10)))),X11) = additive_identity].
% 2.29/2.68 [903=param(901,14),[800,5,5,1],
% 2.29/2.68 add(c,additive_inverse(multiply(b,multiply(b,c)))) = additive_identity].
% 2.29/2.68 [904=param(33,901),[176,860],
% 2.29/2.68 multiply(add(c,additive_inverse(multiply(a,multiply(X10,multiply(X10,b))))),X10) = additive_identity].
% 2.29/2.68 [911=param(305,903),[13,9,49],
% 2.29/2.68 multiply(b,multiply(b,c)) = c].
% 2.29/2.68 [914=param(4,911),[],
% 2.29/2.68 multiply(b,add(multiply(b,c),X10)) = add(c,multiply(b,X10))].
% 2.29/2.68 [916=param(5,911),[5],
% 2.29/2.68 multiply(b,multiply(b,multiply(c,X10))) = multiply(c,X10)].
% 2.29/2.68 [918=param(29,911),[],
% 2.29/2.68 multiply(a,c) = multiply(c,multiply(b,c))].
% 2.29/2.68 [921=demod(889),[918],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,c))) = multiply(c,multiply(c,multiply(b,c)))].
% 2.29/2.68 [938=param(5,918),[5,5],
% 2.29/2.68 multiply(a,multiply(c,X10)) = multiply(c,multiply(b,multiply(c,X10)))].
% 2.29/2.68 [946=demod(894),[938],
% 2.29/2.68 multiply(c,multiply(c,multiply(b,multiply(c,a)))) = multiply(c,multiply(b,a))].
% 2.29/2.68 [977=param(914,3),[],
% 2.29/2.68 multiply(b,multiply(add(b,X10),c)) = add(c,multiply(b,multiply(X10,c)))].
% 2.29/2.68 [984=param(977,901),[176,800,5,5,860],
% 2.29/2.68 add(c,additive_inverse(multiply(b,multiply(c,multiply(c,multiply(b,c)))))) = additive_identity].
% 2.29/2.68 [987=param(31,946),[],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,a))) = multiply(c,multiply(c,multiply(b,a)))].
% 2.29/2.68 [990=param(659,987),[],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,a))))) = multiply(c,a)].
% 2.29/2.68 [997=param(305,984),[13,9,49],
% 2.29/2.68 multiply(b,multiply(c,multiply(c,multiply(b,c)))) = c].
% 2.29/2.68 [1000=param(916,997),[],
% 2.29/2.68 multiply(c,multiply(c,multiply(b,c))) = multiply(b,c)].
% 2.29/2.68 [1001=demod(921),[1000],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,c))) = multiply(b,c)].
% 2.29/2.68 [1002=param(5,1001),[5,5,5],
% 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(c,X10)))) = multiply(b,multiply(c,X10))].
% 2.29/2.68 [1003=demod(990),[1002],
% 2.29/2.68 multiply(b,multiply(c,multiply(b,a))) = multiply(c,a)].
% 2.29/2.68 [1012=param(916,1003),[],
% 2.29/2.68 multiply(b,multiply(c,a)) = multiply(c,multiply(b,a))].
% 2.29/2.68 [1013=param(5,1012),[5,5,5],
% 2.29/2.68 multiply(b,multiply(c,multiply(a,X10))) = multiply(c,multiply(b,multiply(a,X10)))].
% 2.29/2.68 [1014=param(5,1000),[5,5,5],
% 2.29/2.68 multiply(c,multiply(c,multiply(b,multiply(c,X10)))) = multiply(b,multiply(c,X10))].
% 2.29/2.68 [1017=param(1013,29),[29],
% 2.29/2.68 multiply(b,multiply(c,multiply(c,X10))) = multiply(c,multiply(b,multiply(c,X10)))].
% 2.29/2.68 [1018=demod(154),[1017,1012],
% 2.29/2.68 multiply(c,multiply(c,multiply(b,a))) = multiply(b,a)].
% 2.29/2.68 [1042=param(904,673),[13,9],
% 2.29/2.68 multiply(c,add(X10,additive_inverse(multiply(a,multiply(a,X10))))) = additive_identity].
% 2.29/2.68 [1049=param(1042,44),[29,938,860,1014],
% 2.29/2.68 add(c,additive_inverse(multiply(b,multiply(c,b)))) = additive_identity].
% 2.29/2.68 [1054=param(305,1049),[13,9,49],
% 2.29/2.68 multiply(b,multiply(c,b)) = c].
% 2.29/2.68 [1057=param(4,1054),[],
% 2.29/2.68 multiply(b,add(multiply(c,b),X10)) = add(c,multiply(b,X10))].
% 2.29/2.68 [1058=param(4,1054),[6],
% 2.29/2.68 add(c,multiply(b,X10)) = multiply(b,add(X10,multiply(c,b)))].
% 2.29/2.68 [1068=param(29,1054),[918],
% 2.29/2.68 multiply(c,multiply(b,c)) = multiply(c,multiply(c,b))].
% 2.29/2.68 [1070=demod(1000),[1068,31],
% 2.29/2.68 multiply(b,c) = multiply(c,b)].
% 2.29/2.68 [1102=param(5,1070),[5],
% 2.29/2.68 multiply(b,multiply(c,X10)) = multiply(c,multiply(b,X10))].
% 2.29/2.68 [1117=param(1102,290),[46],
% 2.29/2.68 multiply(c,add(b,X10)) = multiply(b,add(c,multiply(c,multiply(b,X10))))].
% 2.29/2.68 [1147=param(1058,710),[9,6,139,862,1117,860,1102,860,1018],
% 2.29/2.68 multiply(b,add(a,multiply(b,add(c,additive_inverse(multiply(b,a)))))) = c].
% 2.29/2.68 [1255=param(5,1057),[],
% 2.29/2.68 multiply(b,multiply(add(multiply(c,b),X10),X11)) = multiply(add(c,multiply(b,X10)),X11)].
% 2.29/2.68 [1799=param(1255,378),[5,34,8,13,176,860],
% 2.29/2.68 multiply(add(c,additive_inverse(multiply(b,a))),b) = additive_identity].
% 2.29/2.68 [1813=param(5,1799),[577],
% 2.29/2.68 multiply(add(c,additive_inverse(multiply(b,a))),multiply(b,X10)) = additive_identity].
% 2.29/2.68 [1828=param(30,1813),[176],
% 2.29/2.68 multiply(b,add(c,additive_inverse(multiply(b,a)))) = additive_identity].
% 2.29/2.68 [1829=demod(1147),[1828,9],
% 2.29/2.68 multiply(b,a) = c].
% 2.29/2.68 [1901=param(12,1829),[11],
% 2.29/2.68 thmtrue = thmfalse].
% 2.29/2.68 % SZS output end CNFRefutation
% 2.29/2.68 Space: 11108 KB
%------------------------------------------------------------------------------