%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0. % 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 14 23:38:50 EDT 2022 % Result : Unsatisfiable 0.84s 1.20s % Output : CNFRefutation 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n024.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 16:39:51 EDT 2022 % 0.13/0.34 % CPUTime : % 0.84/1.20 Theorem Proved. % 0.84/1.20 % SZS status Unsatisfiable % 0.84/1.20 % SZS output start CNFRefutation % 0.84/1.20 [1=axiom,[], % 0.84/1.20 pixley(X10,X11,X10) = X10]. % 0.84/1.20 [2=axiom,[], % 0.84/1.20 pixley(X10,X11,X11) = X10]. % 0.84/1.20 [3=axiom,[], % 0.84/1.20 pixley(X10,X10,X11) = X11]. % 0.84/1.20 [4=axiom,[], % 0.84/1.20 pixley(X10,X11,X12) = add(multiply(X10,inverse(X11)),add(multiply(X10,X12),multiply(inverse(X11),X12)))]. % 0.84/1.20 [5=demod(1),[4], % 0.84/1.20 add(multiply(X10,inverse(X11)),add(multiply(X10,X10),multiply(inverse(X11),X10))) = X10]. % 0.84/1.20 [6=demod(2),[4], % 0.84/1.20 add(multiply(X10,inverse(X11)),add(multiply(X10,X11),multiply(inverse(X11),X11))) = X10]. % 0.84/1.20 [7=demod(3),[4], % 0.84/1.20 add(multiply(X10,inverse(X10)),add(multiply(X10,X11),multiply(inverse(X10),X11))) = X11]. % 0.84/1.20 [8=axiom,[], % 0.84/1.20 add(X10,inverse(X10)) = n1]. % 0.84/1.20 [9=axiom,[], % 0.84/1.20 add(multiply(X11,X10),multiply(X12,X10)) = multiply(X10,add(X11,X12))]. % 0.84/1.20 [11=demod(5),[9], % 0.84/1.20 add(multiply(X10,inverse(X11)),multiply(X10,add(X10,inverse(X11)))) = X10]. % 0.84/1.20 [12=demod(6),[9], % 0.84/1.20 add(multiply(X10,inverse(X11)),multiply(X11,add(X10,inverse(X11)))) = X10]. % 0.84/1.20 [13=demod(7),[9,8], % 0.84/1.20 add(multiply(X10,inverse(X10)),multiply(X11,n1)) = X11]. % 0.84/1.20 [14=axiom,[], % 0.84/1.20 multiply(add(X10,X11),X11) = X11]. % 0.84/1.20 [15=axiom,[], % 0.84/1.20 thtop(X10,X10) = thmfalse]. % 0.84/1.20 [16=axiom,[], % 0.84/1.20 thtop(multiply(b,inverse(b)),multiply(a,inverse(a))) = thmtrue]. % 0.84/1.20 [17=param(14,8),[], % 0.84/1.20 multiply(n1,inverse(X10)) = inverse(X10)]. % 0.84/1.20 [18=param(9,14),[], % 0.84/1.20 multiply(X10,add(add(X12,X10),X11)) = add(X10,multiply(X11,X10))]. % 0.84/1.20 [19=param(9,14),[], % 0.84/1.20 add(multiply(X10,X11),X11) = multiply(X11,add(X10,add(X12,X11)))]. % 0.84/1.20 [20=param(14,9),[], % 0.84/1.20 multiply(multiply(X10,add(X11,X12)),multiply(X12,X10)) = multiply(X12,X10)]. % 0.84/1.20 [22=param(9,17),[], % 0.84/1.20 add(multiply(X10,inverse(X11)),inverse(X11)) = multiply(inverse(X11),add(X10,n1))]. % 0.84/1.20 [24=param(14,13),[], % 0.84/1.20 multiply(X10,multiply(X10,n1)) = multiply(X10,n1)]. % 0.84/1.20 [25=param(13,17),[], % 0.84/1.20 add(inverse(n1),multiply(X10,n1)) = X10]. % 0.84/1.20 [26=param(25,14),[], % 0.84/1.20 add(inverse(n1),n1) = add(X10,n1)]. % 0.84/1.20 [33=param(14,19),[], % 0.84/1.20 multiply(multiply(X10,add(X11,add(X12,X10))),X10) = X10]. % 0.84/1.20 [35=param(19,26),[], % 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = add(inverse(n1),n1)]. % 0.84/1.20 [38=param(22,17),[], % 0.84/1.20 add(inverse(X10),inverse(X10)) = multiply(inverse(X10),add(n1,n1))]. % 0.84/1.20 [41=param(20,8),[], % 0.84/1.20 multiply(multiply(X10,n1),multiply(inverse(X11),X10)) = multiply(inverse(X11),X10)]. % 0.84/1.20 [43=param(41,14),[], % 0.84/1.20 multiply(n1,multiply(inverse(X10),add(X11,n1))) = multiply(inverse(X10),add(X11,n1))]. % 0.84/1.20 [46=param(35,26),[], % 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = add(X12,n1)]. % 0.84/1.20 [47=param(46,18),[14], % 0.84/1.20 add(X10,n1) = add(n1,n1)]. % 0.84/1.20 [49=demod(26),[], % 0.84/1.20 add(inverse(n1),n1) = add(X10,n1)]. % 0.84/1.20 [51=param(46,19),[], % 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = multiply(n1,add(X12,add(X13,n1)))]. % 0.84/1.20 [52=param(18,47),[], % 0.84/1.20 multiply(X10,add(n1,n1)) = add(X10,multiply(n1,X10))]. % 0.84/1.20 [54=param(52,47),[], % 0.84/1.20 multiply(X10,add(X11,n1)) = add(X10,multiply(n1,X10))]. % 0.84/1.20 [55=param(52,24),[9], % 0.84/1.20 multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(n1,n1))]. % 0.84/1.20 [56=param(55,47),[], % 0.84/1.20 multiply(multiply(n1,n1),add(X10,n1)) = multiply(n1,add(n1,n1))]. % 0.84/1.20 [58=param(54,52),[], % 0.84/1.20 multiply(X10,add(X11,n1)) = multiply(X10,add(n1,n1))]. % 0.84/1.20 [63=param(58,46),[], % 0.84/1.20 multiply(X10,multiply(n1,add(X11,add(X12,n1)))) = multiply(X10,add(X13,n1))]. % 0.84/1.20 [64=param(58,47),[], % 0.84/1.20 multiply(X10,add(X11,n1)) = multiply(X10,add(X12,n1))]. % 0.84/1.20 [65=param(64,14),[], % 0.84/1.20 multiply(add(X10,add(X11,n1)),add(X12,n1)) = add(X11,n1)]. % 0.84/1.20 [67=param(56,47),[], % 0.84/1.20 multiply(n1,add(X10,n1)) = multiply(multiply(n1,n1),add(X11,n1))]. % 0.84/1.20 [69=param(63,20),[65], % 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = multiply(n1,add(X12,add(X10,n1)))]. % 0.84/1.20 [70=param(69,18),[14], % 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = add(n1,n1)]. % 0.84/1.20 [71=param(69,19),[-26], % 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = add(inverse(n1),n1)]. % 0.84/1.20 [83=param(9,24),[], % 0.84/1.20 add(multiply(X10,n1),multiply(X11,multiply(X10,n1))) = multiply(multiply(X10,n1),add(X10,X11))]. % 0.84/1.20 [87=param(12,14),[], % 0.84/1.20 add(inverse(X10),multiply(X10,add(add(X11,inverse(X10)),inverse(X10)))) = add(X11,inverse(X10))]. % 0.84/1.20 [103=param(9,46),[65], % 0.84/1.20 add(multiply(X10,add(X11,add(X12,n1))),add(X13,n1)) = add(X12,n1)]. % 0.84/1.20 [105=param(52,46),[65], % 0.84/1.20 add(add(X10,add(X11,n1)),add(X12,n1)) = add(X11,n1)]. % 0.84/1.20 [111=param(33,105),[], % 0.84/1.20 multiply(multiply(n1,add(X10,n1)),n1) = n1]. % 0.84/1.20 [112=param(46,105),[], % 0.84/1.20 multiply(n1,add(X10,n1)) = add(X11,n1)]. % 0.84/1.20 [119=param(111,18),[], % 0.84/1.20 multiply(add(n1,multiply(n1,n1)),n1) = n1]. % 0.84/1.20 [124=param(13,119),[-26], % 0.84/1.20 add(inverse(n1),n1) = add(n1,multiply(n1,n1))]. % 0.84/1.20 [128=demod(71),[124], % 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = add(n1,multiply(n1,n1))]. % 0.84/1.20 [129=demod(49),[124], % 0.84/1.20 add(n1,multiply(n1,n1)) = add(X10,n1)]. % 0.84/1.20 [143=param(9,112),[], % 0.84/1.20 add(multiply(X10,add(X11,n1)),add(X12,n1)) = multiply(add(X11,n1),add(X10,n1))]. % 0.84/1.20 [144=param(112,19),[], % 0.84/1.20 multiply(n1,multiply(n1,add(X10,add(X11,n1)))) = add(X12,n1)]. % 0.84/1.20 [145=param(52,112),[], % 0.84/1.20 add(add(X10,n1),add(X11,n1)) = multiply(add(X10,n1),add(n1,n1))]. % 0.84/1.20 [147=param(112,112),[], % 0.84/1.20 multiply(n1,multiply(n1,add(X10,n1))) = add(X11,n1)]. % 0.84/1.20 [173=param(147,112),[], % 0.84/1.20 multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))) = add(X11,n1)]. % 0.84/1.20 [208=param(51,145),[], % 0.84/1.20 multiply(n1,multiply(add(X10,n1),add(n1,n1))) = multiply(n1,add(X11,add(X12,n1)))]. % 0.84/1.20 [217=param(56,112),[], % 0.84/1.20 multiply(multiply(n1,n1),add(X10,n1)) = add(X11,n1)]. % 0.84/1.20 [227=param(9,217),[143], % 0.84/1.20 multiply(add(X10,n1),add(X11,multiply(n1,n1))) = multiply(add(X10,n1),add(X11,n1))]. % 0.84/1.20 [268=param(67,217),[], % 0.84/1.20 multiply(multiply(n1,n1),multiply(multiply(n1,n1),add(X10,n1))) = multiply(n1,add(X11,n1))]. % 0.84/1.20 [305=param(173,70),[], % 0.84/1.20 multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))) = multiply(add(X11,n1),add(X12,n1))]. % 0.84/1.20 [348=param(54,144),[103], % 0.84/1.20 multiply(multiply(n1,add(X11,add(X10,n1))),add(X12,n1)) = add(X10,n1)]. % 0.84/1.20 [358=param(348,105),[], % 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = add(X12,n1)]. % 0.84/1.20 [362=param(358,19),[], % 0.84/1.20 multiply(multiply(n1,add(X10,n1)),multiply(n1,add(X11,add(X12,n1)))) = add(X13,n1)]. % 0.84/1.20 [367=param(358,147),[], % 0.84/1.20 multiply(multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))),add(X11,n1)) = add(X12,n1)]. % 0.84/1.20 [382=param(358,129),[], % 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = add(n1,multiply(n1,n1))]. % 0.84/1.20 [389=param(358,217),[], % 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = multiply(multiply(n1,n1),add(X12,n1))]. % 0.84/1.20 [399=param(227,13),[14,-26,128], % 0.84/1.20 add(n1,multiply(n1,n1)) = n1]. % 0.84/1.20 [400=demod(382),[399], % 0.84/1.20 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = n1]. % 0.84/1.20 [401=demod(389),[400], % 0.84/1.20 multiply(multiply(n1,n1),add(X10,n1)) = n1]. % 0.84/1.20 [402=demod(268),[401], % 0.84/1.20 multiply(n1,add(X10,n1)) = multiply(multiply(n1,n1),n1)]. % 0.84/1.20 [408=demod(367),[402], % 0.84/1.20 multiply(multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))),add(X10,n1)) = add(X11,n1)]. % 0.84/1.20 [411=demod(362),[402], % 0.84/1.20 multiply(multiply(multiply(n1,n1),n1),multiply(n1,add(X10,add(X11,n1)))) = add(X12,n1)]. % 0.84/1.20 [413=demod(305),[402], % 0.84/1.20 multiply(add(X10,n1),add(X11,n1)) = multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))]. % 0.84/1.20 [417=demod(208),[413], % 0.84/1.20 multiply(n1,add(X10,add(X11,n1))) = multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))))]. % 0.84/1.20 [418=demod(411),[417], % 0.84/1.20 add(X10,n1) = multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))]. % 0.84/1.20 [422=demod(402),[418], % 0.84/1.20 multiply(n1,multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = multiply(multiply(n1,n1),n1)]. % 0.84/1.20 [423=demod(401),[418], % 0.84/1.20 multiply(multiply(n1,n1),multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = n1]. % 0.84/1.20 [433=demod(408),[418,418], % 0.84/1.20 multiply(multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))),multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))]. % 0.84/1.20 [438=demod(54),[418], % 0.84/1.20 add(X10,multiply(n1,X10)) = multiply(X10,multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))))))]. % 0.84/1.20 [439=demod(399),[438,422], % 0.84/1.20 multiply(multiply(n1,n1),n1) = n1]. % 0.84/1.20 [440=demod(438),[439,439,24,24,24], % 0.84/1.20 add(X10,multiply(n1,X10)) = multiply(X10,multiply(n1,n1))]. % 0.84/1.20 [445=demod(433),[439,24,439,439,24,24,24,439,439,24,24,24], % 0.84/1.20 multiply(multiply(n1,n1),multiply(n1,n1)) = multiply(n1,n1)]. % 0.84/1.20 [448=demod(423),[439,439,24,24,24,445], % 0.84/1.20 multiply(n1,n1) = n1]. % 0.84/1.20 [453=demod(440),[448], % 0.84/1.20 add(X10,multiply(n1,X10)) = multiply(X10,n1)]. % 0.84/1.20 [454=demod(418),[448,448,448,448,448,448,448,448], % 0.84/1.20 add(X10,n1) = n1]. % 0.84/1.20 [455=demod(43),[454,454], % 0.84/1.20 multiply(n1,multiply(inverse(X10),n1)) = multiply(inverse(X10),n1)]. % 0.84/1.20 [459=demod(38),[454], % 0.84/1.20 add(inverse(X10),inverse(X10)) = multiply(inverse(X10),n1)]. % 0.84/1.20 [462=param(83,41),[9,459,455,448,454], % 0.84/1.20 multiply(multiply(inverse(X10),n1),n1) = multiply(inverse(X10),n1)]. % 0.84/1.20 [474=param(13,462),[13], % 0.84/1.20 multiply(inverse(X10),n1) = inverse(X10)]. % 0.84/1.20 [485=param(9,474),[], % 0.84/1.20 add(inverse(X10),multiply(X11,n1)) = multiply(n1,add(inverse(X10),X11))]. % 0.84/1.20 [486=demod(25),[485], % 0.84/1.20 multiply(n1,add(inverse(n1),X10)) = X10]. % 0.84/1.20 [487=param(9,474),[], % 0.84/1.20 add(multiply(X10,n1),inverse(X11)) = multiply(n1,add(X10,inverse(X11)))]. % 0.84/1.20 [496=param(486,8),[448], % 0.84/1.20 inverse(inverse(n1)) = n1]. % 0.84/1.20 [501=param(486,87),[], % 0.84/1.20 multiply(n1,add(add(X10,inverse(n1)),inverse(n1))) = multiply(n1,add(X10,inverse(n1)))]. % 0.84/1.20 [504=param(11,496),[496,454,9], % 0.84/1.20 multiply(n1,add(X10,X10)) = X10]. % 0.84/1.20 [509=param(12,496),[496,454,474,487], % 0.84/1.20 multiply(n1,add(X10,inverse(n1))) = X10]. % 0.84/1.20 [510=demod(501),[509,509], % 0.84/1.20 add(X10,inverse(n1)) = X10]. % 0.84/1.20 [511=demod(509),[510], % 0.84/1.20 multiply(n1,X10) = X10]. % 0.84/1.20 [512=demod(453),[511], % 0.84/1.20 add(X10,X10) = multiply(X10,n1)]. % 0.84/1.20 [517=demod(504),[512,511], % 0.84/1.20 multiply(X10,n1) = X10]. % 0.84/1.20 [529=demod(512),[517], % 0.84/1.20 add(X10,X10) = X10]. % 0.84/1.20 [545=demod(486),[511], % 0.84/1.20 add(inverse(n1),X10) = X10]. % 0.84/1.20 [549=param(529,9),[529], % 0.84/1.20 multiply(X10,X11) = multiply(X11,X10)]. % 0.84/1.20 [553=param(12,545),[9,545,549], % 0.84/1.20 multiply(X10,inverse(X10)) = inverse(n1)]. % 0.84/1.20 [560=param(16,553),[553,15], % 0.84/1.20 thmtrue = thmfalse]. % 0.84/1.20 % SZS output end CNFRefutation % 0.84/1.20 Space: 477 KB 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