TSTP Solution File: TOP053-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n029.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 1.06s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.12  % Command  : fiesta-wrapper %s
% 0.12/0.33  % Computer : n029.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 14:30:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.06  Theorem Proved.
% 0.42/1.06  % SZS status Unsatisfiable
% 0.42/1.06  % SZS output start CNFRefutation
% 0.42/1.06  [1=axiom,[],
% 0.42/1.06  			product(a11,a10) 	= a1].
% 0.42/1.06  [2=axiom,[],
% 0.42/1.06  			product(a4,a7) 	= a11].
% 0.42/1.06  [3=axiom,[],
% 0.42/1.06  			product(a15,a8) 	= a4].
% 0.42/1.06  [4=axiom,[],
% 0.42/1.06  			product(a14,a3) 	= a15].
% 0.42/1.06  [5=axiom,[],
% 0.42/1.06  			product(a2,a12) 	= a14].
% 0.42/1.06  [6=axiom,[],
% 0.42/1.06  			product(a6,a7) 	= a2].
% 0.42/1.06  [7=axiom,[],
% 0.42/1.06  			product(a13,a8) 	= a6].
% 0.42/1.06  [8=axiom,[],
% 0.42/1.06  			product(a12,a3) 	= a13].
% 0.42/1.06  [9=axiom,[],
% 0.42/1.06  			product(a10,a11) 	= a12].
% 0.42/1.06  [10=axiom,[],
% 0.42/1.06  			product(a9,a1) 	= a10].
% 0.42/1.06  [11=axiom,[],
% 0.42/1.06  			product(a8,a2) 	= a9].
% 0.42/1.06  [12=axiom,[],
% 0.42/1.06  			product(a7,a3) 	= a8].
% 0.42/1.06  [13=axiom,[],
% 0.42/1.06  			product(a5,a6) 	= a7].
% 0.42/1.06  [14=axiom,[],
% 0.42/1.06  			product(a3,a4) 	= a5].
% 0.42/1.06  [15=axiom,[],
% 0.42/1.06  			product(a1,a2) 	= a3].
% 0.42/1.06  [16=axiom,[],
% 0.42/1.06  			product(product(X10,X11),X12) 	= product(product(X10,X12),product(X11,X12))].
% 0.42/1.06  [17=axiom,[],
% 0.42/1.06  			product(product(X10,X11),X11) 	= X10].
% 0.42/1.06  [18=axiom,[],
% 0.42/1.06  			product(X10,X10) 	= X10].
% 0.42/1.06  [19=axiom,[],
% 0.42/1.06  			thtop(X10,X10) 	= thmfalse].
% 0.42/1.06  [20=axiom,[],
% 0.42/1.06  			thtop(tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)) 	= thmtrue].
% 0.42/1.06  [21=param(17,1),[],
% 0.42/1.06  			product(a1,a10) 	= a11].
% 0.42/1.06  [22=param(17,2),[],
% 0.42/1.06  			product(a11,a7) 	= a4].
% 0.42/1.06  [23=param(17,3),[],
% 0.42/1.06  			product(a4,a8) 	= a15].
% 0.42/1.06  [24=param(17,4),[],
% 0.42/1.06  			product(a15,a3) 	= a14].
% 0.42/1.06  [25=param(17,5),[],
% 0.42/1.06  			product(a14,a12) 	= a2].
% 0.42/1.06  [26=param(17,6),[],
% 0.42/1.06  			product(a2,a7) 	= a6].
% 0.42/1.06  [27=param(17,7),[],
% 0.42/1.06  			product(a6,a8) 	= a13].
% 0.42/1.06  [28=param(17,8),[],
% 0.42/1.06  			product(a13,a3) 	= a12].
% 0.42/1.06  [29=param(17,9),[],
% 0.42/1.06  			product(a12,a11) 	= a10].
% 0.42/1.06  [30=param(17,10),[],
% 0.42/1.06  			product(a10,a1) 	= a9].
% 0.42/1.06  [31=param(17,11),[],
% 0.42/1.06  			product(a9,a2) 	= a8].
% 0.42/1.06  [32=param(17,12),[],
% 0.42/1.06  			product(a8,a3) 	= a7].
% 0.42/1.06  [33=param(17,13),[],
% 0.42/1.06  			product(a7,a6) 	= a5].
% 0.42/1.06  [34=param(17,14),[],
% 0.42/1.06  			product(a5,a4) 	= a3].
% 0.42/1.06  [35=param(17,15),[],
% 0.42/1.06  			product(a3,a2) 	= a1].
% 0.42/1.06  [36=param(16,1),[],
% 0.42/1.06  			product(product(a11,X10),product(a10,X10)) 	= product(a1,X10)].
% 0.42/1.06  [37=param(16,2),[],
% 0.42/1.06  			product(product(a4,X10),product(a7,X10)) 	= product(a11,X10)].
% 0.42/1.06  [38=param(16,3),[],
% 0.42/1.06  			product(product(a15,X10),product(a8,X10)) 	= product(a4,X10)].
% 0.42/1.06  [39=param(16,4),[],
% 0.42/1.06  			product(product(a14,X10),product(a3,X10)) 	= product(a15,X10)].
% 0.42/1.06  [40=param(16,5),[],
% 0.42/1.06  			product(product(a2,X10),product(a12,X10)) 	= product(a14,X10)].
% 0.42/1.06  [41=param(16,6),[],
% 0.42/1.06  			product(product(a6,X10),product(a7,X10)) 	= product(a2,X10)].
% 0.42/1.06  [42=param(16,7),[],
% 0.42/1.06  			product(product(a13,X10),product(a8,X10)) 	= product(a6,X10)].
% 0.42/1.06  [43=param(16,8),[],
% 0.42/1.06  			product(product(a12,X10),product(a3,X10)) 	= product(a13,X10)].
% 0.42/1.06  [44=param(16,9),[],
% 0.42/1.06  			product(product(a10,X10),product(a11,X10)) 	= product(a12,X10)].
% 0.42/1.06  [45=param(16,10),[],
% 0.42/1.06  			product(product(a9,X10),product(a1,X10)) 	= product(a10,X10)].
% 0.42/1.06  [46=param(16,11),[],
% 0.42/1.06  			product(product(a8,X10),product(a2,X10)) 	= product(a9,X10)].
% 0.42/1.06  [47=param(16,12),[],
% 0.42/1.06  			product(product(a7,X10),product(a3,X10)) 	= product(a8,X10)].
% 0.42/1.06  [50=param(16,15),[],
% 0.42/1.06  			product(product(a1,X10),product(a2,X10)) 	= product(a3,X10)].
% 0.42/1.06  [63=param(16,7),[],
% 0.42/1.06  			product(product(X10,a8),a6) 	= product(product(X10,a13),a8)].
% 0.42/1.06  [70=param(16,11),[16],
% 0.42/1.06  			product(product(X10,a8),a2) 	= product(product(X10,a9),product(a2,a9))].
% 0.42/1.06  [79=param(16,35),[],
% 0.42/1.06  			product(product(X10,a2),a1) 	= product(product(X10,a3),a2)].
% 0.42/1.06  [86=param(16,21),[],
% 0.42/1.06  			product(product(a1,X10),product(a10,X10)) 	= product(a11,X10)].
% 0.42/1.06  [93=param(16,31),[16],
% 0.42/1.06  			product(product(X10,a8),product(a2,a8)) 	= product(product(X10,a9),a2)].
% 0.42/1.06  [95=param(16,22),[],
% 0.42/1.06  			product(product(a11,X10),a7) 	= product(a4,product(X10,a7))].
% 0.42/1.06  [100=param(16,29),[],
% 0.42/1.06  			product(product(a12,X10),product(a11,X10)) 	= product(a10,X10)].
% 0.42/1.06  [105=param(16,23),[],
% 0.42/1.06  			product(product(a4,X10),product(a8,X10)) 	= product(a15,X10)].
% 0.42/1.06  [106=param(16,23),[],
% 0.42/1.06  			product(product(a4,X10),a8) 	= product(a15,product(X10,a8))].
% 0.42/1.06  [114=param(16,24),[16],
% 0.42/1.06  			product(product(X10,a14),product(a3,a14)) 	= product(product(X10,a15),a3)].
% 0.42/1.06  [126=param(37,12),[106],
% 0.42/1.06  			product(a15,product(a3,a8)) 	= product(a11,a3)].
% 0.42/1.06  [132=param(38,11),[16],
% 0.42/1.06  			product(product(a15,a9),product(a2,a9)) 	= product(a4,a2)].
% 0.42/1.06  [134=param(38,24),[32],
% 0.42/1.06  			product(a4,a3) 	= product(a14,a7)].
% 0.42/1.06  [143=param(39,14),[16],
% 0.42/1.06  			product(product(a14,a5),product(a4,a5)) 	= product(a15,a4)].
% 0.42/1.06  [145=param(39,25),[],
% 0.42/1.06  			product(a2,product(a3,a12)) 	= product(a15,a12)].
% 0.42/1.06  [150=param(40,18),[],
% 0.42/1.06  			product(a2,product(a12,a2)) 	= product(a14,a2)].
% 0.42/1.06  [151=param(40,26),[],
% 0.42/1.06  			product(a6,product(a12,a7)) 	= product(a14,a7)].
% 0.42/1.06  [152=param(40,145),[],
% 0.42/1.06  			product(product(a15,a12),product(a12,product(a3,a12))) 	= product(a14,product(a3,a12))].
% 0.42/1.06  [154=param(16,150),[],
% 0.42/1.06  			product(product(a2,X10),product(product(a12,a2),X10)) 	= product(product(a14,a2),X10)].
% 0.42/1.06  [155=param(40,150),[],
% 0.42/1.06  			product(product(a14,a2),product(a12,product(a12,a2))) 	= product(a14,product(a12,a2))].
% 0.42/1.06  [158=param(41,27),[],
% 0.42/1.06  			product(a2,a8) 	= product(a13,product(a7,a8))].
% 0.42/1.06  [159=demod(93),[158],
% 0.42/1.06  			product(product(X10,a8),product(a13,product(a7,a8))) 	= product(product(X10,a9),a2)].
% 0.42/1.06  [166=param(40,158),[16,-16],
% 0.42/1.06  			product(product(a13,product(a12,a8)),product(product(a7,a12),a8)) 	= product(a14,a8)].
% 0.42/1.06  [169=param(42,28),[32],
% 0.42/1.06  			product(a6,a3) 	= product(a12,a7)].
% 0.42/1.06  [172=param(16,169),[],
% 0.42/1.06  			product(product(X10,a3),product(a12,a7)) 	= product(product(X10,a6),a3)].
% 0.42/1.06  [178=param(43,18),[],
% 0.42/1.06  			product(a12,product(a3,a12)) 	= product(a13,a12)].
% 0.42/1.06  [179=demod(152),[178,-16],
% 0.42/1.06  			product(product(a15,a13),a12) 	= product(a14,product(a3,a12))].
% 0.42/1.06  [190=param(44,1),[18,30],
% 0.42/1.06  			product(a12,a10) 	= a9].
% 0.42/1.06  [195=param(17,190),[],
% 0.42/1.06  			product(a9,a10) 	= a12].
% 0.42/1.06  [196=param(43,190),[],
% 0.42/1.06  			product(a9,product(a3,a10)) 	= product(a13,a10)].
% 0.42/1.06  [199=param(45,15),[31,32],
% 0.42/1.06  			product(a10,a2) 	= a7].
% 0.42/1.06  [207=param(17,199),[],
% 0.42/1.06  			product(a7,a2) 	= a10].
% 0.42/1.06  [208=param(36,199),[95,26,15],
% 0.42/1.06  			product(a4,a6) 	= a3].
% 0.42/1.06  [209=param(44,199),[],
% 0.42/1.06  			product(a7,product(a11,a2)) 	= product(a12,a2)].
% 0.42/1.06  [212=param(17,208),[],
% 0.42/1.06  			product(a3,a6) 	= a4].
% 0.42/1.06  [222=param(16,207),[],
% 0.42/1.06  			product(product(a7,X10),product(a2,X10)) 	= product(a10,X10)].
% 0.42/1.06  [225=param(37,207),[16],
% 0.42/1.06  			product(product(a4,a10),product(a2,a10)) 	= product(a11,a2)].
% 0.42/1.06  [226=param(41,207),[16,18],
% 0.42/1.06  			product(product(a6,a10),product(a2,a10)) 	= a2].
% 0.42/1.06  [227=param(47,14),[16],
% 0.42/1.06  			product(product(a7,a5),product(a4,a5)) 	= product(a8,a4)].
% 0.42/1.06  [229=param(47,33),[212,34],
% 0.42/1.06  			product(a8,a6) 	= a3].
% 0.42/1.06  [233=param(16,229),[63],
% 0.42/1.06  			product(product(X10,a6),a3) 	= product(product(X10,a13),a8)].
% 0.42/1.06  [234=demod(172),[233],
% 0.42/1.06  			product(product(X10,a3),product(a12,a7)) 	= product(product(X10,a13),a8)].
% 0.42/1.06  [235=param(17,229),[212],
% 0.42/1.06  			a4 	= a8].
% 0.42/1.06  [236=demod(227),[235,-16,235,18],
% 0.42/1.06  			product(product(a7,a8),a5) 	= a8].
% 0.42/1.06  [237=demod(225),[235,46,195],
% 0.42/1.06  			product(a11,a2) 	= a12].
% 0.42/1.06  [238=demod(209),[237],
% 0.42/1.06  			product(a7,a12) 	= product(a12,a2)].
% 0.42/1.06  [239=demod(166),[238,16,158,159],
% 0.42/1.06  			product(product(a13,product(a12,a8)),product(product(a12,a9),a2)) 	= product(a14,a8)].
% 0.42/1.06  [247=demod(143),[235,-16,235],
% 0.42/1.06  			product(product(a14,a8),a5) 	= product(a15,a8)].
% 0.42/1.06  [256=demod(134),[235,32],
% 0.42/1.06  			product(a14,a7) 	= a7].
% 0.42/1.06  [258=demod(151),[256],
% 0.42/1.06  			product(a6,product(a12,a7)) 	= a7].
% 0.42/1.06  [261=demod(132),[235,11],
% 0.42/1.06  			product(product(a15,a9),product(a2,a9)) 	= a9].
% 0.42/1.06  [269=demod(105),[235,18],
% 0.42/1.06  			product(a8,X10) 	= product(a15,X10)].
% 0.42/1.06  [271=demod(32),[269,24],
% 0.42/1.06  			a7 	= a14].
% 0.42/1.06  [273=demod(258),[271,271],
% 0.42/1.06  			product(a6,product(a12,a14)) 	= a14].
% 0.42/1.06  [276=demod(238),[271,25],
% 0.42/1.06  			product(a12,a2) 	= a2].
% 0.42/1.06  [277=demod(155),[276,276,17,276],
% 0.42/1.06  			product(a14,a2) 	= a14].
% 0.42/1.06  [278=demod(154),[276,18,277],
% 0.42/1.06  			product(a2,X10) 	= product(a14,X10)].
% 0.42/1.06  [279=demod(226),[278,-16],
% 0.42/1.06  			product(product(a6,a14),a10) 	= a2].
% 0.42/1.06  [281=demod(5),[278,25],
% 0.42/1.06  			a2 	= a14].
% 0.42/1.06  [282=demod(279),[281],
% 0.42/1.06  			product(product(a6,a14),a10) 	= a14].
% 0.42/1.06  [283=demod(276),[281,281],
% 0.42/1.06  			product(a12,a14) 	= a14].
% 0.42/1.06  [285=demod(273),[283],
% 0.42/1.06  			product(a6,a14) 	= a14].
% 0.42/1.06  [286=demod(282),[285],
% 0.42/1.06  			product(a14,a10) 	= a14].
% 0.42/1.06  [287=demod(239),[281,16,283],
% 0.42/1.06  			product(product(a13,product(a12,a8)),product(a14,product(a9,a14))) 	= product(a14,a8)].
% 0.42/1.06  [288=demod(237),[281],
% 0.42/1.06  			product(a11,a14) 	= a12].
% 0.42/1.06  [291=demod(79),[281,281,16,114],
% 0.42/1.06  			product(product(X10,a14),a1) 	= product(product(X10,a15),a3)].
% 0.42/1.06  [294=demod(35),[281],
% 0.42/1.06  			product(a3,a14) 	= a1].
% 0.42/1.06  [298=demod(31),[281],
% 0.42/1.06  			product(a9,a14) 	= a8].
% 0.42/1.06  [299=demod(287),[298,16,-16,283,17],
% 0.42/1.06  			product(a14,a8) 	= a13].
% 0.42/1.06  [301=demod(247),[299],
% 0.42/1.06  			product(a13,a5) 	= product(a15,a8)].
% 0.42/1.06  [303=demod(15),[281],
% 0.42/1.06  			product(a1,a14) 	= a3].
% 0.42/1.06  [310=demod(50),[281],
% 0.42/1.06  			product(product(a1,X10),product(a14,X10)) 	= product(a3,X10)].
% 0.42/1.06  [311=demod(145),[281],
% 0.42/1.06  			product(a14,product(a3,a12)) 	= product(a15,a12)].
% 0.42/1.06  [312=demod(179),[311],
% 0.42/1.06  			product(product(a15,a13),a12) 	= product(a15,a12)].
% 0.42/1.06  [313=demod(261),[281,-16],
% 0.42/1.06  			product(product(a15,a14),a9) 	= a9].
% 0.42/1.06  [315=demod(70),[281,16,269,-16,281,-16],
% 0.42/1.06  			product(product(X10,a14),a9) 	= product(product(X10,a15),a14)].
% 0.42/1.06  [316=demod(313),[315,18],
% 0.42/1.06  			product(a15,a14) 	= a9].
% 0.42/1.06  [321=demod(236),[271,299,301],
% 0.42/1.06  			product(a15,a8) 	= a8].
% 0.42/1.06  [323=demod(234),[271,283,16,294,291],
% 0.42/1.06  			product(product(X10,a13),a8) 	= product(product(X10,a15),a3)].
% 0.42/1.06  [329=demod(222),[271,281,18],
% 0.42/1.06  			product(a10,X10) 	= product(a14,X10)].
% 0.42/1.06  [333=demod(100),[329],
% 0.42/1.06  			product(product(a12,X10),product(a11,X10)) 	= product(a14,X10)].
% 0.42/1.06  [335=demod(86),[329,310],
% 0.42/1.06  			product(a3,X10) 	= product(a11,X10)].
% 0.42/1.06  [336=demod(196),[335,1,10],
% 0.42/1.06  			product(a13,a10) 	= a10].
% 0.42/1.06  [338=demod(126),[335],
% 0.42/1.06  			product(a11,a3) 	= product(a15,product(a11,a8))].
% 0.42/1.06  [352=demod(43),[335,333],
% 0.42/1.06  			product(a13,X10) 	= product(a14,X10)].
% 0.42/1.06  [353=demod(336),[352,286],
% 0.42/1.06  			a10 	= a14].
% 0.42/1.06  [355=demod(195),[353,298],
% 0.42/1.06  			a8 	= a12].
% 0.42/1.06  [357=demod(338),[355],
% 0.42/1.06  			product(a11,a3) 	= product(a15,product(a11,a12))].
% 0.42/1.06  [359=demod(323),[355],
% 0.42/1.06  			product(product(X10,a13),a12) 	= product(product(X10,a15),a3)].
% 0.42/1.06  [360=demod(312),[359,18,24],
% 0.42/1.06  			product(a15,a12) 	= a14].
% 0.42/1.06  [363=demod(321),[355,360,355],
% 0.42/1.06  			a12 	= a14].
% 0.42/1.06  [366=demod(360),[363,316],
% 0.42/1.06  			a9 	= a14].
% 0.42/1.06  [372=demod(316),[366],
% 0.42/1.06  			product(a15,a14) 	= a14].
% 0.42/1.06  [379=demod(357),[363],
% 0.42/1.06  			product(a11,a3) 	= product(a15,product(a11,a14))].
% 0.42/1.06  [381=demod(355),[363],
% 0.42/1.06  			a8 	= a14].
% 0.42/1.06  [387=demod(288),[363],
% 0.42/1.06  			product(a11,a14) 	= a14].
% 0.42/1.06  [388=demod(379),[387,372],
% 0.42/1.06  			product(a11,a3) 	= a14].
% 0.42/1.06  [393=demod(8),[363,4],
% 0.42/1.06  			a13 	= a15].
% 0.42/1.06  [394=demod(352),[393],
% 0.42/1.06  			product(a14,X10) 	= product(a15,X10)].
% 0.42/1.06  [395=demod(4),[394,24],
% 0.42/1.06  			a14 	= a15].
% 0.42/1.06  [398=demod(388),[395],
% 0.42/1.06  			product(a11,a3) 	= a15].
% 0.42/1.06  [401=demod(381),[395],
% 0.42/1.06  			a8 	= a15].
% 0.42/1.06  [405=demod(366),[395],
% 0.42/1.06  			a9 	= a15].
% 0.42/1.06  [406=demod(363),[395],
% 0.42/1.06  			a12 	= a15].
% 0.42/1.06  [407=demod(353),[395],
% 0.42/1.06  			a10 	= a15].
% 0.42/1.06  [409=demod(303),[395],
% 0.42/1.06  			product(a1,a15) 	= a3].
% 0.42/1.06  [411=demod(281),[395],
% 0.42/1.06  			a2 	= a15].
% 0.42/1.06  [412=demod(271),[395],
% 0.42/1.06  			a7 	= a15].
% 0.42/1.06  [428=demod(235),[401],
% 0.42/1.06  			a4 	= a15].
% 0.42/1.06  [430=demod(21),[407,409],
% 0.42/1.06  			a3 	= a11].
% 0.42/1.06  [433=demod(398),[430,18],
% 0.42/1.06  			a11 	= a15].
% 0.42/1.06  [435=demod(430),[433],
% 0.42/1.06  			a3 	= a15].
% 0.42/1.06  [441=demod(1),[433,407,18],
% 0.42/1.06  			a1 	= a15].
% 0.42/1.06  [442=demod(7),[393,401,18],
% 0.42/1.06  			a6 	= a15].
% 0.42/1.06  [447=demod(33),[412,442,18],
% 0.42/1.06  			a5 	= a15].
% 0.42/1.06  [448=param(20,447),[441,411,435,428,442,412,401,405,407,433,406,393,395,411,435,428,447,442,412,401,405,407,433,406,393,395,19],
% 0.42/1.06  			thmtrue 	= thmfalse].
% 0.42/1.06  % SZS output end CNFRefutation
% 0.42/1.06  Space:    151 KB 
%------------------------------------------------------------------------------