TSTP Solution File: GRP002-2 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n016.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 : Sat Jul 16 09:12:05 EDT 2022
% Result : Unsatisfiable 0.86s 1.23s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % Command : fiesta-wrapper %s
% 0.13/0.34 % Computer : n016.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 Jun 13 07:16:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.86/1.23 Theorem Proved.
% 0.86/1.23 % SZS status Unsatisfiable
% 0.86/1.23 % SZS output start CNFRefutation
% 0.86/1.23 [1=axiom,[],
% 0.86/1.23 multiply(j,inverse(h)) = k].
% 0.86/1.23 [2=axiom,[],
% 0.86/1.23 multiply(h,b) = j].
% 0.86/1.23 [3=axiom,[],
% 0.86/1.23 multiply(d,inverse(b)) = h].
% 0.86/1.23 [4=axiom,[],
% 0.86/1.23 multiply(c,inverse(a)) = d].
% 0.86/1.23 [5=axiom,[],
% 0.86/1.23 multiply(a,b) = c].
% 0.86/1.23 [6=axiom,[],
% 0.86/1.23 multiply(X10,multiply(X10,X10)) = identity].
% 0.86/1.23 [7=axiom,[],
% 0.86/1.23 multiply(X10,inverse(X10)) = identity].
% 0.86/1.23 [8=axiom,[],
% 0.86/1.23 multiply(X10,identity) = X10].
% 0.86/1.23 [9=axiom,[],
% 0.86/1.23 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.86/1.23 [10=axiom,[],
% 0.86/1.23 multiply(inverse(X10),X10) = identity].
% 0.86/1.23 [11=axiom,[],
% 0.86/1.23 multiply(identity,X10) = X10].
% 0.86/1.23 [12=axiom,[],
% 0.86/1.23 thtop(X10,X10) = thmfalse].
% 0.86/1.23 [13=axiom,[],
% 0.86/1.23 thtop(multiply(k,inverse(b)),identity) = thmtrue].
% 0.86/1.23 [15=param(9,1),[],
% 0.86/1.23 multiply(j,multiply(inverse(h),X10)) = multiply(k,X10)].
% 0.86/1.23 [16=param(9,2),[],
% 0.86/1.23 multiply(h,multiply(b,X10)) = multiply(j,X10)].
% 0.86/1.23 [17=param(9,3),[],
% 0.86/1.23 multiply(d,multiply(inverse(b),X10)) = multiply(h,X10)].
% 0.86/1.23 [19=param(9,5),[],
% 0.86/1.23 multiply(a,multiply(b,X10)) = multiply(c,X10)].
% 0.86/1.23 [20=param(9,6),[9],
% 0.86/1.23 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11))))) = identity].
% 0.86/1.23 [21=param(9,6),[11,9],
% 0.86/1.23 multiply(X11,multiply(X11,multiply(X11,X10))) = X10].
% 0.86/1.23 [27=param(15,10),[8],
% 0.86/1.23 multiply(k,h) = j].
% 0.86/1.23 [30=param(16,6),[8],
% 0.86/1.23 multiply(j,multiply(b,b)) = h].
% 0.86/1.23 [31=param(16,7),[8],
% 0.86/1.23 multiply(j,inverse(b)) = h].
% 0.86/1.23 [33=param(9,30),[9],
% 0.86/1.23 multiply(j,multiply(b,multiply(b,X10))) = multiply(h,X10)].
% 0.86/1.23 [36=param(17,10),[8,2],
% 0.86/1.23 d = j].
% 0.86/1.23 [40=demod(4),[36],
% 0.86/1.23 multiply(c,inverse(a)) = j].
% 0.86/1.23 [42=param(19,7),[8],
% 0.86/1.23 multiply(c,inverse(b)) = a].
% 0.86/1.23 [46=param(9,20),[11,9,9,9,9],
% 0.86/1.23 multiply(X11,multiply(X12,multiply(X11,multiply(X12,multiply(X11,multiply(X12,X10)))))) = X10].
% 0.86/1.23 [55=param(21,2),[],
% 0.86/1.23 multiply(h,multiply(h,j)) = b].
% 0.86/1.23 [56=param(21,7),[8],
% 0.86/1.23 multiply(X10,X10) = inverse(X10)].
% 0.86/1.23 [57=param(21,10),[8,56],
% 0.86/1.23 inverse(inverse(X10)) = X10].
% 0.86/1.23 [58=param(21,15),[],
% 0.86/1.23 multiply(inverse(h),X10) = multiply(j,multiply(j,multiply(k,X10)))].
% 0.86/1.23 [60=param(21,16),[],
% 0.86/1.23 multiply(b,X10) = multiply(h,multiply(h,multiply(j,X10)))].
% 0.86/1.23 [63=demod(33),[60,60],
% 0.86/1.23 multiply(j,multiply(h,multiply(h,multiply(j,multiply(h,multiply(h,multiply(j,X10))))))) = multiply(h,X10)].
% 0.86/1.23 [67=param(21,20),[8,56],
% 0.86/1.23 multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11)))) = inverse(X10)].
% 0.86/1.23 [68=param(21,27),[],
% 0.86/1.23 multiply(k,multiply(k,j)) = h].
% 0.86/1.23 [69=param(21,31),[],
% 0.86/1.23 multiply(j,multiply(j,h)) = inverse(b)].
% 0.86/1.23 [70=param(21,40),[],
% 0.86/1.23 multiply(c,multiply(c,j)) = inverse(a)].
% 0.86/1.23 [71=param(21,42),[],
% 0.86/1.23 multiply(c,multiply(c,a)) = inverse(b)].
% 0.86/1.23 [72=param(56,9),[],
% 0.86/1.23 multiply(X10,multiply(X11,multiply(X10,X11))) = inverse(multiply(X10,X11))].
% 0.86/1.23 [73=demod(67),[72],
% 0.86/1.23 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)].
% 0.86/1.23 [74=param(9,56),[],
% 0.86/1.23 multiply(inverse(X10),X11) = multiply(X10,multiply(X10,X11))].
% 0.86/1.23 [76=demod(58),[74],
% 0.86/1.23 multiply(h,multiply(h,X10)) = multiply(j,multiply(j,multiply(k,X10)))].
% 0.86/1.23 [79=demod(63),[76,21,76,21],
% 0.86/1.23 multiply(h,X10) = multiply(k,multiply(k,multiply(j,X10)))].
% 0.86/1.23 [80=demod(2),[79],
% 0.86/1.23 multiply(k,multiply(k,multiply(j,b))) = j].
% 0.86/1.23 [81=demod(76),[79,79],
% 0.86/1.23 multiply(j,multiply(j,multiply(k,X10))) = multiply(k,multiply(k,multiply(j,multiply(k,multiply(k,multiply(j,X10))))))].
% 0.86/1.23 [86=demod(60),[79,79],
% 0.86/1.23 multiply(b,X10) = multiply(k,multiply(k,multiply(j,multiply(k,multiply(k,multiply(j,multiply(j,X10)))))))].
% 0.86/1.23 [89=demod(55),[79,56,79],
% 0.86/1.23 multiply(k,multiply(k,multiply(j,multiply(k,multiply(k,inverse(j)))))) = b].
% 0.86/1.23 [92=param(46,31),[],
% 0.86/1.23 multiply(X10,multiply(j,multiply(X10,multiply(j,multiply(X10,h))))) = inverse(b)].
% 0.86/1.23 [94=param(46,42),[],
% 0.86/1.23 multiply(X10,multiply(c,multiply(X10,multiply(c,multiply(X10,a))))) = inverse(b)].
% 0.86/1.23 [97=param(21,72),[],
% 0.86/1.23 multiply(X10,multiply(X10,inverse(multiply(X10,X11)))) = multiply(X11,multiply(X10,X11))].
% 0.86/1.23 [98=param(72,68),[9,68],
% 0.86/1.23 multiply(k,multiply(k,multiply(j,h))) = inverse(h)].
% 0.86/1.23 [99=param(72,69),[9,79,31,27,-97,69,57],
% 0.86/1.23 multiply(j,multiply(k,multiply(k,inverse(multiply(k,j))))) = b].
% 0.86/1.23 [102=param(73,9),[],
% 0.86/1.23 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))].
% 0.86/1.23 [103=param(21,73),[],
% 0.86/1.23 multiply(X10,multiply(X10,inverse(X11))) = inverse(multiply(X11,X10))].
% 0.86/1.23 [104=param(73,70),[57,9],
% 0.86/1.23 multiply(c,multiply(j,a)) = inverse(c)].
% 0.86/1.23 [108=param(21,104),[7,8],
% 0.86/1.23 multiply(j,a) = c].
% 0.86/1.23 [110=param(21,108),[],
% 0.86/1.23 multiply(j,multiply(j,c)) = a].
% 0.86/1.23 [112=param(21,80),[],
% 0.86/1.23 multiply(j,b) = multiply(k,j)].
% 0.86/1.23 [115=param(72,110),[9,110],
% 0.86/1.23 multiply(j,multiply(j,multiply(c,a))) = inverse(a)].
% 0.86/1.23 [116=param(81,68),[69,-97,21],
% 0.86/1.23 multiply(k,multiply(k,multiply(j,multiply(k,inverse(multiply(k,j)))))) = inverse(b)].
% 0.86/1.23 [117=param(21,115),[],
% 0.86/1.23 multiply(c,a) = multiply(j,inverse(a))].
% 0.86/1.23 [118=demod(71),[117],
% 0.86/1.23 multiply(c,multiply(j,inverse(a))) = inverse(b)].
% 0.86/1.23 [123=param(21,98),[],
% 0.86/1.23 multiply(j,h) = multiply(k,inverse(h))].
% 0.86/1.23 [124=demod(69),[123],
% 0.86/1.23 multiply(j,multiply(k,inverse(h))) = inverse(b)].
% 0.86/1.23 [125=param(72,123),[79,124,123],
% 0.86/1.23 multiply(j,multiply(k,multiply(k,inverse(b)))) = inverse(multiply(k,inverse(h)))].
% 0.86/1.23 [127=param(46,124),[],
% 0.86/1.23 multiply(j,multiply(k,multiply(j,multiply(k,inverse(b))))) = inverse(h)].
% 0.86/1.23 [132=param(103,73),[9,56],
% 0.86/1.23 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))].
% 0.86/1.23 [134=param(57,103),[],
% 0.86/1.23 inverse(multiply(X10,multiply(X10,inverse(X11)))) = multiply(X11,X10)].
% 0.86/1.23 [138=param(132,9),[],
% 0.86/1.23 inverse(multiply(X10,inverse(multiply(X11,X12)))) = multiply(X11,multiply(X12,inverse(X10)))].
% 0.86/1.23 [139=param(132,79),[],
% 0.86/1.23 inverse(multiply(X10,inverse(h))) = multiply(k,multiply(k,multiply(j,inverse(X10))))].
% 0.86/1.23 [140=param(103,132),[],
% 0.86/1.23 multiply(X10,inverse(multiply(X11,inverse(X10)))) = inverse(multiply(X11,X10))].
% 0.86/1.23 [141=param(132,9),[],
% 0.86/1.23 inverse(multiply(X10,multiply(X11,inverse(X12)))) = multiply(X12,inverse(multiply(X10,X11)))].
% 0.86/1.23 [142=param(132,79),[],
% 0.86/1.23 inverse(multiply(k,multiply(k,multiply(j,inverse(X10))))) = multiply(X10,inverse(h))].
% 0.86/1.23 [145=param(134,9),[],
% 0.86/1.23 inverse(multiply(X10,multiply(X10,inverse(multiply(X11,X12))))) = multiply(X11,multiply(X12,X10))].
% 0.86/1.23 [150=param(21,89),[],
% 0.86/1.23 multiply(j,multiply(k,multiply(k,inverse(j)))) = multiply(k,b)].
% 0.86/1.23 [152=param(102,68),[9],
% 0.86/1.23 multiply(k,multiply(j,inverse(multiply(X10,h)))) = inverse(multiply(X10,k))].
% 0.86/1.23 [153=param(102,110),[9],
% 0.86/1.23 multiply(j,multiply(c,inverse(multiply(X10,a)))) = inverse(multiply(X10,j))].
% 0.86/1.23 [156=param(21,153),[73],
% 0.86/1.23 multiply(c,inverse(multiply(X10,a))) = multiply(j,inverse(X10))].
% 0.86/1.23 [157=param(156,9),[],
% 0.86/1.23 multiply(c,inverse(multiply(X10,multiply(X11,a)))) = multiply(j,inverse(multiply(X10,X11)))].
% 0.86/1.23 [160=param(92,27),[56],
% 0.86/1.23 multiply(k,multiply(j,multiply(k,inverse(j)))) = inverse(b)].
% 0.86/1.23 [161=param(21,160),[],
% 0.86/1.23 multiply(j,multiply(k,inverse(j))) = multiply(k,multiply(k,inverse(b)))].
% 0.86/1.23 [162=param(21,161),[125],
% 0.86/1.23 multiply(j,inverse(multiply(k,inverse(h)))) = multiply(k,inverse(j))].
% 0.86/1.23 [163=param(72,161),[9,74,125,162,150,161],
% 0.86/1.23 inverse(multiply(k,multiply(k,inverse(b)))) = multiply(k,b)].
% 0.86/1.23 [164=param(94,108),[56],
% 0.86/1.23 multiply(j,multiply(c,multiply(j,inverse(c)))) = inverse(b)].
% 0.86/1.23 [165=param(57,163),[],
% 0.86/1.23 multiply(k,multiply(k,inverse(b))) = inverse(multiply(k,b))].
% 0.86/1.23 [177=param(21,164),[31,123],
% 0.86/1.23 multiply(c,multiply(j,inverse(c))) = multiply(k,inverse(h))].
% 0.86/1.23 [183=param(21,152),[73],
% 0.86/1.23 multiply(j,inverse(multiply(X10,h))) = multiply(k,inverse(X10))].
% 0.86/1.23 [185=param(183,9),[],
% 0.86/1.23 multiply(j,inverse(multiply(X10,multiply(X11,h)))) = multiply(k,inverse(multiply(X10,X11)))].
% 0.86/1.23 [192=param(185,56),[],
% 0.86/1.23 multiply(j,inverse(multiply(X10,inverse(h)))) = multiply(k,inverse(multiply(X10,h)))].
% 0.86/1.23 [193=param(21,116),[],
% 0.86/1.23 multiply(j,multiply(k,inverse(multiply(k,j)))) = multiply(k,inverse(b))].
% 0.86/1.23 [196=param(157,56),[],
% 0.86/1.23 multiply(c,inverse(multiply(X10,inverse(a)))) = multiply(j,inverse(multiply(X10,a)))].
% 0.86/1.23 [203=param(138,132),[],
% 0.86/1.23 multiply(X10,inverse(multiply(X11,inverse(X12)))) = inverse(multiply(X11,inverse(multiply(X10,X12))))].
% 0.86/1.23 [207=param(21,139),[],
% 0.86/1.23 multiply(k,inverse(multiply(X10,inverse(h)))) = multiply(j,inverse(X10))].
% 0.86/1.23 [214=param(141,132),[],
% 0.86/1.23 inverse(multiply(X10,inverse(multiply(X11,inverse(X12))))) = multiply(X11,inverse(multiply(X10,X12)))].
% 0.86/1.23 [231=param(145,196),[-134,57,117,118,57],
% 0.86/1.23 inverse(multiply(c,multiply(j,inverse(multiply(X10,a))))) = multiply(X10,b)].
% 0.86/1.23 [232=param(145,127),[-134,57,-134,-141,-141,203,-134,203,86,56,7,8,56,-207,203,27,203,203,68,57,-214,203,86,123,124,165,-214,31,203,27,203,57,57,21,57,57,68,192,27,203,-134,-214,140,57,68,-142,7,8,56,57,57,56,57,132,57],
% 0.86/1.23 multiply(k,inverse(multiply(j,multiply(k,inverse(b))))) = inverse(h)].
% 0.86/1.23 [233=param(21,232),[],
% 0.86/1.23 inverse(multiply(j,multiply(k,inverse(b)))) = multiply(k,multiply(k,inverse(h)))].
% 0.86/1.23 [234=param(57,233),[],
% 0.86/1.23 multiply(j,multiply(k,inverse(b))) = inverse(multiply(k,multiply(k,inverse(h))))].
% 0.86/1.23 [235=demod(127),[234],
% 0.86/1.23 multiply(j,multiply(k,inverse(multiply(k,multiply(k,inverse(h)))))) = inverse(h)].
% 0.86/1.23 [238=param(57,231),[],
% 0.86/1.23 multiply(c,multiply(j,inverse(multiply(X10,a)))) = inverse(multiply(X10,b))].
% 0.86/1.23 [240=param(238,79),[108,-214,-214,57,-214,203,177,203,27,57,203,57,79,112,68,27],
% 0.86/1.23 multiply(k,inverse(multiply(k,j))) = inverse(j)].
% 0.86/1.23 [241=demod(193),[240,7],
% 0.86/1.23 multiply(k,inverse(b)) = identity].
% 0.86/1.23 [242=demod(234),[241,8],
% 0.86/1.23 inverse(multiply(k,multiply(k,inverse(h)))) = j].
% 0.86/1.23 [243=demod(235),[242,-97,240],
% 0.86/1.23 multiply(k,inverse(j)) = inverse(h)].
% 0.86/1.23 [253=demod(99),[240,243,-142,7,8,56,57],
% 0.86/1.23 b = k].
% 0.86/1.23 [265=param(13,253),[7,12],
% 0.86/1.23 thmtrue = thmfalse].
% 0.86/1.23 % SZS output end CNFRefutation
% 0.86/1.23 Space: 669 KB
%------------------------------------------------------------------------------