TSTP Solution File: TOP051-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n024.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 : Thu Jul 21 21:25:58 EDT 2022

% Result   : Unsatisfiable 0.42s 1.05s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12  % Command  : fiesta-wrapper %s
% 0.12/0.33  % Computer : n024.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 : Sun May 29 14:22:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.05  Theorem Proved.
% 0.42/1.05  % SZS status Unsatisfiable
% 0.42/1.05  % SZS output start CNFRefutation
% 0.42/1.05  [1=axiom,[],
% 0.42/1.05  			product(a10,a5) 	= a11].
% 0.42/1.05  [2=axiom,[],
% 0.42/1.05  			product(a9,a4) 	= a10].
% 0.42/1.05  [3=axiom,[],
% 0.42/1.05  			product(a8,a6) 	= a9].
% 0.42/1.05  [4=axiom,[],
% 0.42/1.05  			product(a7,a3) 	= a8].
% 0.42/1.05  [5=axiom,[],
% 0.42/1.05  			product(a6,a2) 	= a7].
% 0.42/1.05  [6=axiom,[],
% 0.42/1.05  			product(a5,a9) 	= a6].
% 0.42/1.05  [7=axiom,[],
% 0.42/1.05  			product(a4,a10) 	= a5].
% 0.42/1.05  [8=axiom,[],
% 0.42/1.05  			product(a3,a1) 	= a4].
% 0.42/1.05  [9=axiom,[],
% 0.42/1.05  			product(a2,a7) 	= a3].
% 0.42/1.05  [10=axiom,[],
% 0.42/1.05  			product(a1,a6) 	= a2].
% 0.42/1.05  [11=axiom,[],
% 0.42/1.05  			product(product(X10,X11),X12) 	= product(product(X10,X12),product(X11,X12))].
% 0.42/1.05  [12=axiom,[],
% 0.42/1.05  			product(product(X10,X11),X11) 	= X10].
% 0.42/1.05  [13=axiom,[],
% 0.42/1.05  			product(X10,X10) 	= X10].
% 0.42/1.05  [14=axiom,[],
% 0.42/1.05  			thtop(X10,X10) 	= thmfalse].
% 0.42/1.05  [15=axiom,[],
% 0.42/1.05  			thtop(tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8),tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9)) 	= thmtrue].
% 0.42/1.05  [16=param(12,1),[],
% 0.42/1.05  			product(a11,a5) 	= a10].
% 0.42/1.05  [17=param(12,2),[],
% 0.42/1.05  			product(a10,a4) 	= a9].
% 0.42/1.05  [18=param(12,3),[],
% 0.42/1.05  			product(a9,a6) 	= a8].
% 0.42/1.05  [19=param(12,4),[],
% 0.42/1.05  			product(a8,a3) 	= a7].
% 0.42/1.05  [20=param(12,5),[],
% 0.42/1.05  			product(a7,a2) 	= a6].
% 0.42/1.05  [22=param(12,7),[],
% 0.42/1.05  			product(a5,a10) 	= a4].
% 0.42/1.05  [23=param(12,8),[],
% 0.42/1.05  			product(a4,a1) 	= a3].
% 0.42/1.05  [24=param(12,9),[],
% 0.42/1.05  			product(a3,a7) 	= a2].
% 0.42/1.05  [25=param(12,10),[],
% 0.42/1.05  			product(a2,a6) 	= a1].
% 0.42/1.05  [26=param(11,1),[],
% 0.42/1.05  			product(product(a10,X10),product(a5,X10)) 	= product(a11,X10)].
% 0.42/1.05  [27=param(11,2),[],
% 0.42/1.05  			product(product(a9,X10),product(a4,X10)) 	= product(a10,X10)].
% 0.42/1.05  [28=param(11,3),[],
% 0.42/1.05  			product(product(a8,X10),product(a6,X10)) 	= product(a9,X10)].
% 0.42/1.05  [29=param(11,4),[],
% 0.42/1.05  			product(product(a7,X10),product(a3,X10)) 	= product(a8,X10)].
% 0.42/1.05  [30=param(11,5),[],
% 0.42/1.05  			product(product(a6,X10),product(a2,X10)) 	= product(a7,X10)].
% 0.42/1.05  [32=param(11,7),[],
% 0.42/1.05  			product(product(a4,X10),product(a10,X10)) 	= product(a5,X10)].
% 0.42/1.05  [33=param(11,8),[],
% 0.42/1.05  			product(product(a3,X10),product(a1,X10)) 	= product(a4,X10)].
% 0.42/1.05  [34=param(11,9),[],
% 0.42/1.05  			product(product(a2,X10),product(a7,X10)) 	= product(a3,X10)].
% 0.42/1.05  [35=param(11,10),[],
% 0.42/1.05  			product(product(a1,X10),product(a6,X10)) 	= product(a2,X10)].
% 0.42/1.05  [36=param(11,12),[],
% 0.42/1.05  			product(product(product(X10,X12),X11),product(X12,X11)) 	= product(X10,X11)].
% 0.42/1.05  [42=param(11,4),[],
% 0.42/1.05  			product(product(a7,X10),a3) 	= product(a8,product(X10,a3))].
% 0.42/1.05  [46=param(11,8),[],
% 0.42/1.05  			product(product(a3,X10),a1) 	= product(a4,product(X10,a1))].
% 0.42/1.05  [51=param(11,13),[],
% 0.42/1.05  			product(product(X10,X11),X10) 	= product(X10,product(X11,X10))].
% 0.42/1.05  [54=param(11,25),[],
% 0.42/1.05  			product(product(X10,a6),a1) 	= product(product(X10,a2),a6)].
% 0.42/1.05  [56=param(11,24),[],
% 0.42/1.05  			product(product(a3,X10),a7) 	= product(a2,product(X10,a7))].
% 0.42/1.05  [57=param(11,24),[],
% 0.42/1.05  			product(product(X10,a7),a2) 	= product(product(X10,a3),a7)].
% 0.42/1.05  [58=param(11,16),[],
% 0.42/1.05  			product(product(a11,X10),product(a5,X10)) 	= product(a10,X10)].
% 0.42/1.05  [74=param(11,20),[57],
% 0.42/1.05  			product(product(X10,a2),a6) 	= product(product(X10,a3),a7)].
% 0.42/1.05  [75=demod(54),[74],
% 0.42/1.05  			product(product(X10,a6),a1) 	= product(product(X10,a3),a7)].
% 0.42/1.05  [76=param(11,18),[],
% 0.42/1.05  			product(product(a9,X10),product(a6,X10)) 	= product(a8,X10)].
% 0.42/1.05  [81=param(11,19),[],
% 0.42/1.05  			product(product(X10,a3),a7) 	= product(product(X10,a8),a3)].
% 0.42/1.05  [82=demod(75),[81],
% 0.42/1.05  			product(product(X10,a6),a1) 	= product(product(X10,a8),a3)].
% 0.42/1.05  [84=demod(57),[81],
% 0.42/1.05  			product(product(X10,a7),a2) 	= product(product(X10,a8),a3)].
% 0.42/1.05  [88=param(84,13),[20,42,19],
% 0.42/1.05  			product(a8,a7) 	= a6].
% 0.42/1.05  [92=param(26,17),[],
% 0.42/1.05  			product(a9,product(a5,a4)) 	= product(a11,a4)].
% 0.42/1.05  [100=param(27,13),[],
% 0.42/1.05  			product(a9,product(a4,a9)) 	= product(a10,a9)].
% 0.42/1.05  [103=param(11,88),[],
% 0.42/1.05  			product(product(a8,X10),a7) 	= product(a6,product(X10,a7))].
% 0.42/1.05  [104=param(11,88),[],
% 0.42/1.05  			product(product(X10,a7),a6) 	= product(product(X10,a8),a7)].
% 0.42/1.05  [105=param(12,88),[],
% 0.42/1.05  			product(a6,a7) 	= a8].
% 0.42/1.05  [109=param(28,5),[103,9],
% 0.42/1.05  			product(a6,a3) 	= product(a9,a2)].
% 0.42/1.05  [124=param(29,20),[],
% 0.42/1.05  			product(a6,product(a3,a2)) 	= product(a8,a2)].
% 0.42/1.05  [129=param(30,13),[25],
% 0.42/1.05  			product(a6,a1) 	= product(a7,a6)].
% 0.42/1.05  [136=param(11,129),[82],
% 0.42/1.05  			product(product(X10,a1),product(a7,a6)) 	= product(product(X10,a8),a3)].
% 0.42/1.05  [137=param(28,129),[136,13,19],
% 0.42/1.05  			product(a9,a1) 	= a7].
% 0.42/1.05  [141=param(11,137),[11],
% 0.42/1.05  			product(product(X10,a7),product(a1,a7)) 	= product(product(X10,a9),a1)].
% 0.42/1.05  [144=param(27,137),[23,4],
% 0.42/1.05  			product(a10,a1) 	= a8].
% 0.42/1.05  [152=param(12,144),[],
% 0.42/1.05  			product(a8,a1) 	= a10].
% 0.42/1.05  [158=param(28,152),[129,137],
% 0.42/1.05  			product(a10,product(a7,a6)) 	= a7].
% 0.42/1.05  [159=param(32,1),[11,13],
% 0.42/1.05  			product(product(a4,a11),product(a5,a11)) 	= a5].
% 0.42/1.05  [160=param(32,13),[17],
% 0.42/1.05  			product(a4,a9) 	= product(a5,a4)].
% 0.42/1.05  [161=demod(100),[160,92],
% 0.42/1.05  			product(a10,a9) 	= product(a11,a4)].
% 0.42/1.05  [164=param(32,23),[144],
% 0.42/1.05  			product(a3,a8) 	= product(a5,a1)].
% 0.42/1.05  [173=param(33,10),[11,5,56,9],
% 0.42/1.05  			product(a2,a3) 	= product(a4,a6)].
% 0.42/1.05  [182=param(12,173),[11,109],
% 0.42/1.05  			product(product(a4,a3),product(a9,a2)) 	= a2].
% 0.42/1.05  [188=param(34,13),[20,25],
% 0.42/1.05  			product(a3,a2) 	= a1].
% 0.42/1.05  [194=demod(124),[188,129],
% 0.42/1.05  			product(a7,a6) 	= product(a8,a2)].
% 0.42/1.05  [195=demod(158),[194],
% 0.42/1.05  			product(a10,product(a8,a2)) 	= a7].
% 0.42/1.05  [197=demod(129),[194],
% 0.42/1.05  			product(a6,a1) 	= product(a8,a2)].
% 0.42/1.05  [198=param(34,25),[194],
% 0.42/1.05  			product(a1,product(a8,a2)) 	= product(a3,a6)].
% 0.42/1.05  [203=param(12,188),[],
% 0.42/1.05  			product(a1,a2) 	= a3].
% 0.42/1.05  [209=param(35,13),[197,198],
% 0.42/1.05  			product(a2,a1) 	= product(a3,a6)].
% 0.42/1.05  [211=param(35,105),[11,9],
% 0.42/1.05  			product(product(a1,a8),product(a7,a8)) 	= a3].
% 0.42/1.05  [218=param(12,209),[46,197],
% 0.42/1.05  			product(a4,product(a8,a2)) 	= a2].
% 0.42/1.05  [223=param(36,5),[11,5,11,9,11,4,11,164,11,11,141,6,197],
% 0.42/1.05  			product(product(product(X10,a8),a7),product(a8,a2)) 	= product(X10,a2)].
% 0.42/1.05  [225=param(36,7),[11,7,11,1,11,11,51,16,22],
% 0.42/1.05  			product(product(product(X10,a11),a5),a4) 	= product(X10,a10)].
% 0.42/1.05  [245=param(36,197),[82],
% 0.42/1.05  			product(product(product(X10,a8),a3),product(a8,a2)) 	= product(X10,a1)].
% 0.42/1.05  [249=param(36,194),[104,223],
% 0.42/1.05  			product(X10,a6) 	= product(X10,a2)].
% 0.42/1.05  [250=demod(3),[249],
% 0.42/1.05  			product(a8,a2) 	= a9].
% 0.42/1.05  [252=demod(245),[250,11],
% 0.42/1.05  			product(product(product(X10,a8),a9),product(a3,a9)) 	= product(X10,a1)].
% 0.42/1.05  [253=demod(223),[250,11],
% 0.42/1.05  			product(product(product(X10,a8),a9),product(a7,a9)) 	= product(X10,a2)].
% 0.42/1.05  [254=demod(218),[250,160],
% 0.42/1.05  			product(a5,a4) 	= a2].
% 0.42/1.05  [259=demod(92),[254],
% 0.42/1.05  			product(a9,a2) 	= product(a11,a4)].
% 0.42/1.05  [260=demod(182),[259],
% 0.42/1.05  			product(product(a4,a3),product(a11,a4)) 	= a2].
% 0.42/1.05  [265=demod(197),[250],
% 0.42/1.05  			product(a6,a1) 	= a9].
% 0.42/1.05  [268=demod(195),[250,161],
% 0.42/1.05  			product(a11,a4) 	= a7].
% 0.42/1.05  [273=demod(260),[268,81],
% 0.42/1.05  			product(product(a4,a8),a3) 	= a2].
% 0.42/1.05  [283=demod(10),[249,203],
% 0.42/1.05  			a2 	= a3].
% 0.42/1.05  [284=demod(273),[283],
% 0.42/1.05  			product(product(a4,a8),a3) 	= a3].
% 0.42/1.05  [289=demod(254),[283],
% 0.42/1.05  			product(a5,a4) 	= a3].
% 0.42/1.05  [290=demod(253),[283],
% 0.42/1.05  			product(product(product(X10,a8),a9),product(a7,a9)) 	= product(X10,a3)].
% 0.42/1.05  [291=demod(250),[283,19],
% 0.42/1.05  			a7 	= a9].
% 0.42/1.05  [292=demod(290),[291,13,12],
% 0.42/1.05  			product(X10,a3) 	= product(X10,a8)].
% 0.42/1.05  [294=demod(284),[292,12],
% 0.42/1.05  			a3 	= a4].
% 0.42/1.05  [295=demod(292),[294],
% 0.42/1.05  			product(X10,a4) 	= product(X10,a8)].
% 0.42/1.05  [296=demod(2),[295],
% 0.42/1.05  			product(a9,a8) 	= a10].
% 0.42/1.05  [298=demod(17),[295],
% 0.42/1.05  			product(a10,a8) 	= a9].
% 0.42/1.05  [302=demod(225),[295,11],
% 0.42/1.05  			product(product(product(X10,a11),a8),product(a5,a8)) 	= product(X10,a10)].
% 0.42/1.05  [306=demod(289),[295,294],
% 0.42/1.05  			product(a5,a8) 	= a4].
% 0.42/1.05  [307=demod(302),[306,295,12],
% 0.42/1.05  			product(X10,a10) 	= product(X10,a11)].
% 0.42/1.05  [308=demod(7),[307],
% 0.42/1.05  			product(a4,a11) 	= a5].
% 0.42/1.05  [309=demod(159),[308],
% 0.42/1.05  			product(a5,product(a5,a11)) 	= a5].
% 0.42/1.05  [310=demod(22),[307],
% 0.42/1.05  			product(a5,a11) 	= a4].
% 0.42/1.05  [311=demod(309),[310,295,306],
% 0.42/1.05  			a4 	= a5].
% 0.42/1.05  [312=demod(310),[311],
% 0.42/1.05  			product(a5,a11) 	= a5].
% 0.42/1.05  [315=demod(295),[311],
% 0.42/1.05  			product(X10,a5) 	= product(X10,a8)].
% 0.42/1.05  [316=demod(1),[315,298],
% 0.42/1.05  			a9 	= a11].
% 0.42/1.05  [321=demod(296),[316],
% 0.42/1.05  			product(a11,a8) 	= a10].
% 0.42/1.05  [323=demod(291),[316],
% 0.42/1.05  			a7 	= a11].
% 0.42/1.05  [326=demod(265),[316],
% 0.42/1.05  			product(a6,a1) 	= a11].
% 0.42/1.05  [330=demod(76),[316],
% 0.42/1.05  			product(product(a11,X10),product(a6,X10)) 	= product(a8,X10)].
% 0.42/1.05  [337=demod(6),[316,312],
% 0.42/1.05  			a6 	= a5].
% 0.42/1.05  [341=demod(330),[337,58],
% 0.42/1.05  			product(a10,X10) 	= product(a8,X10)].
% 0.42/1.05  [342=demod(144),[341,152],
% 0.42/1.05  			a10 	= a8].
% 0.42/1.05  [343=demod(321),[342],
% 0.42/1.05  			product(a11,a8) 	= a8].
% 0.42/1.05  [344=demod(307),[342],
% 0.42/1.05  			product(X10,a8) 	= product(X10,a11)].
% 0.42/1.05  [345=demod(315),[344],
% 0.42/1.05  			product(X10,a5) 	= product(X10,a11)].
% 0.42/1.05  [346=demod(343),[344,13],
% 0.42/1.05  			a8 	= a11].
% 0.42/1.05  [347=demod(342),[346],
% 0.42/1.05  			a10 	= a11].
% 0.42/1.05  [356=demod(326),[337],
% 0.42/1.05  			product(a5,a1) 	= a11].
% 0.42/1.05  [359=demod(294),[311],
% 0.42/1.05  			a3 	= a5].
% 0.42/1.05  [362=demod(283),[359],
% 0.42/1.05  			a2 	= a5].
% 0.42/1.05  [363=demod(252),[346,316,12,359,316,312,345],
% 0.42/1.05  			product(X10,a1) 	= product(X10,a11)].
% 0.42/1.05  [366=demod(356),[363,312],
% 0.42/1.05  			a5 	= a11].
% 0.42/1.05  [367=demod(362),[366],
% 0.42/1.05  			a2 	= a11].
% 0.42/1.05  [369=demod(359),[366],
% 0.42/1.05  			a3 	= a11].
% 0.42/1.05  [370=demod(337),[366],
% 0.42/1.05  			a6 	= a11].
% 0.42/1.05  [371=demod(311),[366],
% 0.42/1.05  			a4 	= a11].
% 0.42/1.05  [373=demod(211),[346,323,346,13,12,369],
% 0.42/1.05  			a1 	= a11].
% 0.42/1.05  [374=param(15,373),[370,366,367,323,369,371,316,347,346,367,323,370,369,346,371,366,347,316,14],
% 0.42/1.05  			thmtrue 	= thmfalse].
% 0.42/1.05  % SZS output end CNFRefutation
% 0.42/1.05  Space:    140 KB 
%------------------------------------------------------------------------------