%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO031-1 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n028.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 14 23:38:50 EDT 2022 % Result : Unsatisfiable 31.75s 32.13s % Output : CNFRefutation 31.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : BOO031-1 : TPTP v8.1.0. Released v2.2.0. % 0.11/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n028.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 : Wed Jun 1 22:53:08 EDT 2022 % 0.13/0.34 % CPUTime : % 31.75/32.13 Theorem Proved. % 31.75/32.13 % SZS status Unsatisfiable % 31.75/32.13 % SZS output start CNFRefutation % 31.75/32.13 [1=axiom,[], % 31.75/32.13 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 31.75/32.13 [2=axiom,[], % 31.75/32.13 add(add(X10,X11),X12) = add(X10,add(X11,X12))]. % 31.75/32.13 [3=axiom,[], % 31.75/32.13 multiply(X10,inverse(X10)) = n0]. % 31.75/32.13 [4=axiom,[], % 31.75/32.13 add(X10,inverse(X10)) = n1]. % 31.75/32.13 [5=axiom,[3], % 31.75/32.13 add(n0,X10) = X10]. % 31.75/32.13 [6=axiom,[1], % 31.75/32.13 multiply(add(X10,X11),multiply(add(X11,X12),X11)) = X11]. % 31.75/32.13 [7=axiom,[], % 31.75/32.13 multiply(X10,add(X11,add(X10,X12))) = X10]. % 31.75/32.13 [8=axiom,[4], % 31.75/32.13 multiply(n1,X10) = X10]. % 31.75/32.13 [9=axiom,[2], % 31.75/32.13 add(multiply(X10,X11),add(multiply(X11,X12),X11)) = X11]. % 31.75/32.13 [10=axiom,[], % 31.75/32.13 add(X10,multiply(X11,multiply(X10,X12))) = X10]. % 31.75/32.13 [11=axiom,[], % 31.75/32.13 multiply(add(X10,X11),multiply(add(X11,X12),add(X12,X10))) = add(multiply(X10,X11),add(multiply(X11,X12),multiply(X12,X10)))]. % 31.75/32.13 [12=axiom,[], % 31.75/32.13 thtop(X10,X10) = thmfalse]. % 31.75/32.13 [13=axiom,[], % 31.75/32.13 thtop(multiply(a,add(b,c)),add(multiply(b,a),multiply(c,a))) = thmtrue]. % 31.75/32.13 [17=param(3,8),[], % 31.75/32.13 inverse(n1) = n0]. % 31.75/32.13 [19=param(2,4),[], % 31.75/32.13 add(X10,add(X11,inverse(add(X10,X11)))) = n1]. % 31.75/32.13 [20=param(2,4),[], % 31.75/32.13 add(X11,add(inverse(X11),X10)) = add(n1,X10)]. % 31.75/32.13 [21=param(4,17),[], % 31.75/32.13 add(n1,n0) = n1]. % 31.75/32.13 [23=param(6,2),[], % 31.75/32.13 multiply(add(X10,add(X11,X12)),multiply(add(X12,X13),X12)) = X12]. % 31.75/32.13 [29=param(6,21),[5,8], % 31.75/32.13 multiply(X10,n0) = n0]. % 31.75/32.13 [30=param(1,29),[], % 31.75/32.13 multiply(X11,multiply(n0,X10)) = multiply(n0,X10)]. % 31.75/32.13 [35=param(7,4),[], % 31.75/32.13 multiply(X10,add(X11,n1)) = X10]. % 31.75/32.13 [36=param(7,5),[], % 31.75/32.13 multiply(X10,add(X10,X11)) = X10]. % 31.75/32.13 [38=param(7,8),[], % 31.75/32.13 add(X10,add(n1,X11)) = n1]. % 31.75/32.13 [39=param(38,2),[38], % 31.75/32.13 add(X10,n1) = n1]. % 31.75/32.13 [40=demod(35),[39], % 31.75/32.13 multiply(X10,n1) = X10]. % 31.75/32.13 [41=param(2,38),[2,38], % 31.75/32.13 add(n1,X10) = n1]. % 31.75/32.13 [42=demod(20),[41], % 31.75/32.13 add(X10,add(inverse(X10),X11)) = n1]. % 31.75/32.13 [43=param(6,41),[8], % 31.75/32.13 multiply(add(X10,X11),X10) = X10]. % 31.75/32.13 [44=demod(23),[43], % 31.75/32.13 multiply(add(X10,add(X11,X12)),X12) = X12]. % 31.75/32.13 [46=param(9,1),[], % 31.75/32.13 add(multiply(X10,multiply(X11,X12)),add(multiply(X12,X13),X12)) = X12]. % 31.75/32.13 [51=param(7,9),[1], % 31.75/32.13 multiply(X10,multiply(X11,X10)) = multiply(X10,X11)]. % 31.75/32.13 [53=param(9,8),[], % 31.75/32.13 add(X10,add(multiply(X10,X11),X10)) = X10]. % 31.75/32.13 [60=param(10,3),[29], % 31.75/32.13 add(X10,n0) = X10]. % 31.75/32.13 [61=param(10,5),[30], % 31.75/32.13 multiply(n0,X10) = n0]. % 31.75/32.13 [63=param(10,7),[], % 31.75/32.13 add(X10,multiply(X11,X10)) = X10]. % 31.75/32.13 [64=param(7,10),[], % 31.75/32.13 multiply(X10,add(X11,X10)) = X10]. % 31.75/32.13 [65=param(10,8),[], % 31.75/32.13 add(X10,multiply(X10,X11)) = X10]. % 31.75/32.13 [66=param(9,61),[5], % 31.75/32.13 add(multiply(X10,X11),X10) = X10]. % 31.75/32.13 [67=demod(46),[66], % 31.75/32.13 add(multiply(X10,multiply(X11,X12)),X12) = X12]. % 31.75/32.13 [68=demod(53),[66], % 31.75/32.13 add(X10,X10) = X10]. % 31.75/32.13 [69=param(68,2),[], % 31.75/32.13 add(X10,add(X11,add(X10,X11))) = add(X10,X11)]. % 31.75/32.13 [71=param(11,5),[60,36,29,61,5,5], % 31.75/32.13 multiply(X10,X11) = multiply(X11,X10)]. % 31.75/32.13 [72=demod(44),[71], % 31.75/32.13 multiply(X10,add(X11,add(X12,X10))) = X10]. % 31.75/32.13 [74=param(11,41),[39,8,8,40,8,65], % 31.75/32.13 add(X10,X11) = add(X11,X10)]. % 31.75/32.13 [75=demod(67),[74], % 31.75/32.13 add(X10,multiply(X11,multiply(X12,X10))) = X10]. % 31.75/32.13 [79=param(2,65),[], % 31.75/32.13 add(X10,add(multiply(X10,X12),X11)) = add(X10,X11)]. % 31.75/32.13 [81=param(1,64),[], % 31.75/32.13 multiply(X10,multiply(add(X12,X10),X11)) = multiply(X10,X11)]. % 31.75/32.13 [86=param(63,7),[2,2], % 31.75/32.13 add(X10,add(X11,add(X12,X11))) = add(X10,add(X11,X12))]. % 31.75/32.13 [87=demod(69),[86], % 31.75/32.13 add(X10,add(X11,X10)) = add(X10,X11)]. % 31.75/32.13 [89=param(1,36),[], % 31.75/32.13 multiply(X10,multiply(add(X10,X12),X11)) = multiply(X10,X11)]. % 31.75/32.13 [93=param(74,2),[], % 31.75/32.13 add(X10,add(X11,X12)) = add(X11,add(X12,X10))]. % 31.75/32.13 [94=param(2,74),[2], % 31.75/32.13 add(X10,add(X11,X12)) = add(X11,add(X10,X12))]. % 31.75/32.13 [97=param(74,19),[2,74], % 31.75/32.13 add(X10,add(X11,inverse(add(X11,X10)))) = n1]. % 31.75/32.13 [98=param(71,1),[], % 31.75/32.13 multiply(X10,multiply(X11,X12)) = multiply(X11,multiply(X12,X10))]. % 31.75/32.13 [104=param(87,2),[], % 31.75/32.13 add(X10,add(X11,add(X12,X10))) = add(X10,add(X11,X12))]. % 31.75/32.13 [106=param(64,87),[], % 31.75/32.13 multiply(add(X10,X11),add(X11,X10)) = add(X10,X11)]. % 31.75/32.13 [141=param(63,51),[], % 31.75/32.13 add(multiply(X10,X11),multiply(X11,X10)) = multiply(X10,X11)]. % 31.75/32.13 [142=param(42,74),[2], % 31.75/32.13 add(inverse(X10),add(X11,X10)) = n1]. % 31.75/32.13 [143=param(42,74),[], % 31.75/32.13 add(X10,add(X11,inverse(X10))) = n1]. % 31.75/32.13 [152=param(142,74),[], % 31.75/32.13 add(inverse(X10),add(X10,X11)) = n1]. % 31.75/32.13 [169=param(75,7),[2,2], % 31.75/32.13 add(X10,add(X11,add(X12,multiply(X13,X11)))) = add(X10,add(X11,X12))]. % 31.75/32.13 [170=param(75,11),[2,79,169], % 31.75/32.13 add(X10,add(X11,multiply(X12,X10))) = add(X10,X11)]. % 31.75/32.13 [178=param(72,65),[1], % 31.75/32.13 multiply(X10,multiply(X11,add(X12,X10))) = multiply(X10,X11)]. % 31.75/32.13 [194=param(63,178),[], % 31.75/32.13 add(multiply(X10,add(X11,X12)),multiply(X12,X10)) = multiply(X10,add(X11,X12))]. % 31.75/32.13 [196=param(178,87),[], % 31.75/32.13 multiply(add(X10,X11),multiply(X12,add(X11,X10))) = multiply(add(X10,X11),X12)]. % 31.75/32.13 [210=param(170,51),[], % 31.75/32.13 add(multiply(X10,X11),add(X12,multiply(X11,X10))) = add(multiply(X10,X11),X12)]. % 31.75/32.13 [212=param(64,170),[], % 31.75/32.13 multiply(add(X10,multiply(X11,X12)),add(X12,X10)) = add(X10,multiply(X11,X12))]. % 31.75/32.13 [234=param(64,79),[71], % 31.75/32.13 multiply(add(X10,X11),add(multiply(X10,X12),X11)) = add(multiply(X10,X12),X11)]. % 31.75/32.13 [365=param(93,2),[], % 31.75/32.13 add(X10,add(X11,add(X12,X13))) = add(X12,add(X13,add(X10,X11)))]. % 31.75/32.13 [418=param(93,141),[210], % 31.75/32.13 add(X10,multiply(X11,X12)) = add(multiply(X12,X11),X10)]. % 31.75/32.13 [419=demod(194),[418], % 31.75/32.13 add(multiply(X10,X11),multiply(X10,add(X12,X11))) = multiply(X10,add(X12,X11))]. % 31.75/32.13 [492=param(98,106),[196], % 31.75/32.13 multiply(X10,add(X11,X12)) = multiply(add(X12,X11),X10)]. % 31.75/32.13 [493=demod(212),[492], % 31.75/32.13 multiply(add(X10,X11),add(X10,multiply(X12,X11))) = add(X10,multiply(X12,X11))]. % 31.75/32.13 [1202=param(419,71),[], % 31.75/32.13 add(multiply(X10,X11),multiply(X11,add(X12,X10))) = multiply(X11,add(X12,X10))]. % 31.75/32.13 [1438=param(11,4),[8,3,5], % 31.75/32.13 multiply(add(X10,X11),add(inverse(X11),X10)) = add(multiply(X10,X11),multiply(inverse(X11),X10))]. % 31.75/32.13 [2458=param(1202,36),[], % 31.75/32.13 add(X10,multiply(add(X10,X11),add(X12,X10))) = multiply(add(X10,X11),add(X12,X10))]. % 31.75/32.13 [2495=param(234,63),[], % 31.75/32.13 multiply(X10,add(multiply(X10,X11),multiply(X12,X10))) = add(multiply(X10,X11),multiply(X12,X10))]. % 31.75/32.13 [3000=param(1438,4),[74,8,3,71,5], % 31.75/32.13 multiply(X10,inverse(inverse(X10))) = add(X10,inverse(inverse(X10)))]. % 31.75/32.13 [3007=param(81,1438),[], % 31.75/32.13 multiply(X10,add(multiply(X11,X10),multiply(inverse(X10),X11))) = multiply(X10,add(inverse(X10),X11))]. % 31.75/32.13 [3009=param(89,1438),[2495,64], % 31.75/32.13 add(multiply(X10,X11),multiply(inverse(X11),X10)) = X10]. % 31.75/32.13 [3011=demod(1438),[3009], % 31.75/32.13 multiply(add(X10,X11),add(inverse(X11),X10)) = X10]. % 31.75/32.13 [3012=demod(3007),[3009], % 31.75/32.13 multiply(X10,add(inverse(X10),X11)) = multiply(X10,X11)]. % 31.75/32.13 [3193=param(196,3012),[98,36,71], % 31.75/32.13 multiply(X10,add(X11,inverse(X10))) = multiply(X10,X11)]. % 31.75/32.13 [3393=param(10,3000),[], % 31.75/32.13 add(X10,multiply(X11,add(X10,inverse(inverse(X10))))) = X10]. % 31.75/32.13 [3395=param(51,3000),[64,71,3000], % 31.75/32.13 add(X10,inverse(inverse(X10))) = inverse(inverse(X10))]. % 31.75/32.13 [3396=demod(3393),[3395], % 31.75/32.13 add(X10,multiply(X11,inverse(inverse(X10)))) = X10]. % 31.75/32.13 [3398=demod(3000),[3395], % 31.75/32.13 multiply(X10,inverse(inverse(X10))) = inverse(inverse(X10))]. % 31.75/32.13 [3453=demod(3395),[], % 31.75/32.13 add(X10,inverse(inverse(X10))) = inverse(inverse(X10))]. % 31.75/32.13 [3459=demod(3398),[], % 31.75/32.13 multiply(X10,inverse(inverse(X10))) = inverse(inverse(X10))]. % 31.75/32.13 [3469=param(493,3453),[3396,71,3459,3396], % 31.75/32.13 inverse(inverse(X10)) = X10]. % 31.75/32.13 [3473=param(3193,3469),[], % 31.75/32.13 multiply(inverse(X10),add(X11,X10)) = multiply(inverse(X10),X11)]. % 31.75/32.13 [3482=param(3473,97),[40,71], % 31.75/32.13 multiply(X11,inverse(add(X10,inverse(add(X10,X11))))) = inverse(add(X10,inverse(add(X10,X11))))]. % 31.75/32.13 [3750=param(3011,42),[74,8], % 31.75/32.13 add(X10,inverse(add(inverse(X10),X11))) = X10]. % 31.75/32.13 [3769=param(3011,97),[2,74,40], % 31.75/32.13 add(X10,add(X11,inverse(add(X10,inverse(X11))))) = add(X10,inverse(add(X10,inverse(X11))))]. % 31.75/32.13 [3775=param(3011,142),[74,8], % 31.75/32.13 add(inverse(X10),inverse(add(X11,X10))) = inverse(X10)]. % 31.75/32.13 [3776=param(3011,143),[74,8], % 31.75/32.13 add(X10,inverse(add(X11,inverse(X10)))) = X10]. % 31.75/32.13 [3777=demod(3769),[3776], % 31.75/32.13 add(X10,inverse(add(X10,inverse(X11)))) = add(X10,X11)]. % 31.75/32.13 [3783=param(3011,152),[74,8], % 31.75/32.13 add(inverse(X10),inverse(add(X10,X11))) = inverse(X10)]. % 31.75/32.13 [3951=param(2,3783),[], % 31.75/32.13 add(inverse(X10),add(inverse(add(X10,X12)),X11)) = add(inverse(X10),X11)]. % 31.75/32.13 [3974=param(94,3775),[], % 31.75/32.13 add(inverse(X11),add(X10,inverse(add(X12,X11)))) = add(X10,inverse(X11))]. % 31.75/32.13 [4016=param(3011,3777),[74,3750,3012], % 31.75/32.13 multiply(X10,X11) = inverse(add(inverse(X10),inverse(X11)))]. % 31.75/32.14 [4313=demod(2458),[4016,4016], % 31.75/32.14 add(X10,inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10))))) = inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10))))]. % 31.75/32.14 [4742=demod(3482),[4016,3469,3974], % 31.75/32.14 inverse(add(X10,inverse(add(X10,X11)))) = inverse(add(X10,inverse(X11)))]. % 31.75/32.14 [5439=param(13,4016),[74,4016,4016,74], % 31.75/32.14 thtop(inverse(add(inverse(a),inverse(add(c,b)))),add(inverse(add(inverse(c),inverse(a))),inverse(add(inverse(b),inverse(a))))) = thmtrue]. % 31.75/32.14 [5460=param(3469,4742),[3469], % 31.75/32.14 add(X10,inverse(add(X10,X11))) = add(X10,inverse(X11))]. % 31.75/32.14 [5466=param(5460,74),[], % 31.75/32.14 add(X10,inverse(add(X11,X10))) = add(X10,inverse(X11))]. % 31.75/32.14 [5467=param(5460,93),[], % 31.75/32.14 add(X10,inverse(add(X11,add(X12,X10)))) = add(X10,inverse(add(X11,X12)))]. % 31.75/32.14 [5470=param(5460,94),[], % 31.75/32.14 add(X10,inverse(add(X11,add(X10,X12)))) = add(X10,inverse(add(X11,X12)))]. % 31.75/32.14 [5498=param(5466,2),[2,5467], % 31.75/32.14 add(X10,add(X11,inverse(add(X12,X10)))) = add(X10,add(X11,inverse(X12)))]. % 31.75/32.14 [5501=param(104,5466),[365,3951], % 31.75/32.14 add(inverse(add(X11,X10)),add(X12,X10)) = add(X10,add(inverse(X11),X12))]. % 31.75/32.14 [5667=param(5501,74),[], % 31.75/32.14 add(inverse(add(X10,X11)),add(X11,X12)) = add(X11,add(inverse(X10),X12))]. % 31.75/32.14 [5674=param(5667,74),[], % 31.75/32.14 add(inverse(add(X10,X11)),add(X10,X12)) = add(X10,add(inverse(X11),X12))]. % 31.75/32.14 [5699=param(5460,5498),[5460], % 31.75/32.14 add(X10,inverse(add(X11,inverse(add(X12,X10))))) = add(X10,inverse(add(X11,inverse(X12))))]. % 31.75/32.14 [5701=demod(4313),[5699], % 31.75/32.14 inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10)))) = add(X10,inverse(add(inverse(add(X10,X11)),inverse(X12))))]. % 31.75/32.14 [5739=param(5470,5674),[5460], % 31.75/32.14 add(X10,inverse(add(inverse(add(X10,X11)),X12))) = add(X10,inverse(add(inverse(X11),X12)))]. % 31.75/32.14 [5741=demod(5701),[5739], % 31.75/32.14 inverse(add(inverse(add(X10,X11)),inverse(add(X12,X10)))) = add(X10,inverse(add(inverse(X11),inverse(X12))))]. % 31.75/32.14 [6580=param(3469,5741),[], % 31.75/32.14 add(inverse(add(X10,X11)),inverse(add(X12,X10))) = inverse(add(X10,inverse(add(inverse(X11),inverse(X12)))))]. % 31.75/32.14 [6582=param(6580,74),[], % 31.75/32.14 add(inverse(add(X10,X11)),inverse(add(X12,X11))) = inverse(add(X11,inverse(add(inverse(X10),inverse(X12)))))]. % 31.75/32.14 [6586=param(5439,6582),[3469,3469,12], % 31.75/32.14 thmtrue = thmfalse]. % 31.75/32.14 % SZS output end CNFRefutation % 31.75/32.14 Space: 140429 KB 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