%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0. % 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 14 23:38:50 EDT 2022 % Result : Unsatisfiable 0.91s 1.26s % Output : CNFRefutation 0.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0. % 0.04/0.13 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 1 21:08:01 EDT 2022 % 0.12/0.34 % CPUTime : % 0.91/1.26 Theorem Proved. % 0.91/1.26 % SZS status Unsatisfiable % 0.91/1.26 % SZS output start CNFRefutation % 0.91/1.26 [1=axiom,[], % 0.91/1.26 pixley(X10,X11,X10) = X10]. % 0.91/1.26 [2=axiom,[], % 0.91/1.26 pixley(X10,X11,X11) = X10]. % 0.91/1.26 [3=axiom,[], % 0.91/1.26 pixley(X10,X10,X11) = X11]. % 0.91/1.26 [4=axiom,[], % 0.91/1.26 pixley(X10,X11,X12) = add(multiply(X10,inverse(X11)),add(multiply(X10,X12),multiply(inverse(X11),X12)))]. % 0.91/1.26 [5=demod(1),[4], % 0.91/1.26 add(multiply(X10,inverse(X11)),add(multiply(X10,X10),multiply(inverse(X11),X10))) = X10]. % 0.91/1.26 [6=demod(2),[4], % 0.91/1.26 add(multiply(X10,inverse(X11)),add(multiply(X10,X11),multiply(inverse(X11),X11))) = X10]. % 0.91/1.26 [7=demod(3),[4], % 0.91/1.26 add(multiply(X10,inverse(X10)),add(multiply(X10,X11),multiply(inverse(X10),X11))) = X11]. % 0.91/1.26 [8=axiom,[], % 0.91/1.26 add(X10,inverse(X10)) = n1]. % 0.91/1.26 [9=axiom,[], % 0.91/1.26 add(multiply(X11,X10),multiply(X12,X10)) = multiply(X10,add(X11,X12))]. % 0.91/1.26 [11=demod(5),[9], % 0.91/1.26 add(multiply(X10,inverse(X11)),multiply(X10,add(X10,inverse(X11)))) = X10]. % 0.91/1.26 [12=demod(6),[9], % 0.91/1.26 add(multiply(X10,inverse(X11)),multiply(X11,add(X10,inverse(X11)))) = X10]. % 0.91/1.26 [13=demod(7),[9,8], % 0.91/1.26 add(multiply(X10,inverse(X10)),multiply(X11,n1)) = X11]. % 0.91/1.26 [14=axiom,[], % 0.91/1.26 multiply(add(X10,X11),X11) = X11]. % 0.91/1.26 [15=axiom,[], % 0.91/1.26 thtop(X10,X10) = thmfalse]. % 0.91/1.26 [16=axiom,[], % 0.91/1.26 thtop(add(a,multiply(b,c)),multiply(add(a,b),add(a,c))) = thmtrue]. % 0.91/1.26 [17=param(14,8),[], % 0.91/1.26 multiply(n1,inverse(X10)) = inverse(X10)]. % 0.91/1.26 [18=param(9,14),[], % 0.91/1.26 multiply(X10,add(add(X12,X10),X11)) = add(X10,multiply(X11,X10))]. % 0.91/1.26 [19=param(9,14),[], % 0.91/1.26 add(multiply(X10,X11),X11) = multiply(X11,add(X10,add(X12,X11)))]. % 0.91/1.26 [20=param(14,9),[], % 0.91/1.26 multiply(multiply(X10,add(X11,X12)),multiply(X12,X10)) = multiply(X12,X10)]. % 0.91/1.26 [22=param(9,17),[], % 0.91/1.26 add(multiply(X10,inverse(X11)),inverse(X11)) = multiply(inverse(X11),add(X10,n1))]. % 0.91/1.26 [24=param(14,13),[], % 0.91/1.26 multiply(X10,multiply(X10,n1)) = multiply(X10,n1)]. % 0.91/1.26 [25=param(13,17),[], % 0.91/1.26 add(inverse(n1),multiply(X10,n1)) = X10]. % 0.91/1.26 [26=param(25,14),[], % 0.91/1.26 add(inverse(n1),n1) = add(X10,n1)]. % 0.91/1.26 [28=param(11,17),[], % 0.91/1.26 add(inverse(X10),multiply(n1,add(n1,inverse(X10)))) = n1]. % 0.91/1.26 [31=param(14,12),[], % 0.91/1.26 multiply(X10,multiply(X11,add(X10,inverse(X11)))) = multiply(X11,add(X10,inverse(X11)))]. % 0.91/1.26 [32=param(12,17),[], % 0.91/1.26 add(inverse(X10),multiply(X10,add(n1,inverse(X10)))) = n1]. % 0.91/1.26 [33=param(14,19),[], % 0.91/1.26 multiply(multiply(X10,add(X11,add(X12,X10))),X10) = X10]. % 0.91/1.26 [35=param(19,26),[], % 0.91/1.26 multiply(n1,add(X10,add(X11,n1))) = add(inverse(n1),n1)]. % 0.91/1.26 [38=param(22,17),[], % 0.91/1.26 add(inverse(X10),inverse(X10)) = multiply(inverse(X10),add(n1,n1))]. % 0.91/1.26 [41=param(20,8),[], % 0.91/1.26 multiply(multiply(X10,n1),multiply(inverse(X11),X10)) = multiply(inverse(X11),X10)]. % 0.91/1.26 [43=param(41,14),[], % 0.91/1.26 multiply(n1,multiply(inverse(X10),add(X11,n1))) = multiply(inverse(X10),add(X11,n1))]. % 0.91/1.26 [46=param(35,26),[], % 0.91/1.26 multiply(n1,add(X10,add(X11,n1))) = add(X12,n1)]. % 0.91/1.26 [47=param(46,18),[14], % 0.91/1.26 add(X10,n1) = add(n1,n1)]. % 0.91/1.26 [49=demod(26),[], % 0.91/1.26 add(inverse(n1),n1) = add(X10,n1)]. % 0.91/1.26 [51=param(46,19),[], % 0.91/1.26 multiply(n1,add(X10,add(X11,n1))) = multiply(n1,add(X12,add(X13,n1)))]. % 0.91/1.26 [52=param(18,47),[], % 0.91/1.26 multiply(X10,add(n1,n1)) = add(X10,multiply(n1,X10))]. % 0.91/1.26 [54=param(52,47),[], % 0.91/1.26 multiply(X10,add(X11,n1)) = add(X10,multiply(n1,X10))]. % 0.91/1.26 [55=param(52,24),[9], % 0.91/1.26 multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(n1,n1))]. % 0.91/1.26 [56=param(55,47),[], % 0.91/1.26 multiply(multiply(n1,n1),add(X10,n1)) = multiply(n1,add(n1,n1))]. % 0.91/1.26 [58=param(54,52),[], % 0.91/1.26 multiply(X10,add(X11,n1)) = multiply(X10,add(n1,n1))]. % 0.91/1.26 [63=param(58,46),[], % 0.91/1.26 multiply(X10,multiply(n1,add(X11,add(X12,n1)))) = multiply(X10,add(X13,n1))]. % 0.91/1.26 [64=param(58,47),[], % 0.91/1.26 multiply(X10,add(X11,n1)) = multiply(X10,add(X12,n1))]. % 0.91/1.26 [65=param(64,14),[], % 0.91/1.26 multiply(add(X10,add(X11,n1)),add(X12,n1)) = add(X11,n1)]. % 0.91/1.26 [67=param(56,47),[], % 0.91/1.26 multiply(n1,add(X10,n1)) = multiply(multiply(n1,n1),add(X11,n1))]. % 0.91/1.26 [69=param(63,20),[65], % 0.91/1.26 multiply(add(X10,n1),add(X11,n1)) = multiply(n1,add(X12,add(X10,n1)))]. % 0.91/1.26 [70=param(69,18),[14], % 0.91/1.26 multiply(add(X10,n1),add(X11,n1)) = add(n1,n1)]. % 0.91/1.26 [71=param(69,19),[-26], % 0.91/1.26 multiply(add(X10,n1),add(X11,n1)) = add(inverse(n1),n1)]. % 0.91/1.26 [83=param(9,24),[], % 0.91/1.26 add(multiply(X10,n1),multiply(X11,multiply(X10,n1))) = multiply(multiply(X10,n1),add(X10,X11))]. % 0.91/1.26 [84=param(9,24),[], % 0.91/1.26 add(multiply(X10,multiply(X11,n1)),multiply(X11,n1)) = multiply(multiply(X11,n1),add(X10,X11))]. % 0.91/1.26 [87=param(12,14),[], % 0.91/1.26 add(inverse(X10),multiply(X10,add(add(X11,inverse(X10)),inverse(X10)))) = add(X11,inverse(X10))]. % 0.91/1.26 [103=param(9,46),[65], % 0.91/1.26 add(multiply(X10,add(X11,add(X12,n1))),add(X13,n1)) = add(X12,n1)]. % 0.91/1.26 [105=param(52,46),[65], % 0.91/1.26 add(add(X10,add(X11,n1)),add(X12,n1)) = add(X11,n1)]. % 0.91/1.26 [111=param(33,105),[], % 0.91/1.26 multiply(multiply(n1,add(X10,n1)),n1) = n1]. % 0.91/1.26 [112=param(46,105),[], % 0.91/1.26 multiply(n1,add(X10,n1)) = add(X11,n1)]. % 0.91/1.26 [119=param(111,18),[], % 0.91/1.26 multiply(add(n1,multiply(n1,n1)),n1) = n1]. % 0.91/1.26 [124=param(13,119),[-26], % 0.91/1.26 add(inverse(n1),n1) = add(n1,multiply(n1,n1))]. % 0.91/1.26 [128=demod(71),[124], % 0.91/1.26 multiply(add(X10,n1),add(X11,n1)) = add(n1,multiply(n1,n1))]. % 0.91/1.26 [129=demod(49),[124], % 0.91/1.26 add(n1,multiply(n1,n1)) = add(X10,n1)]. % 0.91/1.26 [141=param(9,112),[], % 0.91/1.26 add(add(X10,n1),multiply(X11,add(X12,n1))) = multiply(add(X12,n1),add(n1,X11))]. % 0.91/1.26 [143=param(9,112),[], % 0.91/1.26 add(multiply(X10,add(X11,n1)),add(X12,n1)) = multiply(add(X11,n1),add(X10,n1))]. % 0.91/1.26 [144=param(112,19),[], % 0.91/1.26 multiply(n1,multiply(n1,add(X10,add(X11,n1)))) = add(X12,n1)]. % 0.91/1.26 [145=param(52,112),[], % 0.91/1.26 add(add(X10,n1),add(X11,n1)) = multiply(add(X10,n1),add(n1,n1))]. % 0.91/1.26 [147=param(112,112),[], % 0.91/1.26 multiply(n1,multiply(n1,add(X10,n1))) = add(X11,n1)]. % 0.91/1.26 [173=param(147,112),[], % 0.91/1.26 multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))) = add(X11,n1)]. % 0.91/1.26 [208=param(51,145),[], % 0.91/1.26 multiply(n1,multiply(add(X10,n1),add(n1,n1))) = multiply(n1,add(X11,add(X12,n1)))]. % 0.91/1.26 [217=param(56,112),[], % 0.91/1.26 multiply(multiply(n1,n1),add(X10,n1)) = add(X11,n1)]. % 0.91/1.26 [227=param(9,217),[143], % 0.91/1.26 multiply(add(X10,n1),add(X11,multiply(n1,n1))) = multiply(add(X10,n1),add(X11,n1))]. % 0.91/1.26 [268=param(67,217),[], % 0.91/1.26 multiply(multiply(n1,n1),multiply(multiply(n1,n1),add(X10,n1))) = multiply(n1,add(X11,n1))]. % 0.91/1.26 [305=param(173,70),[], % 0.91/1.26 multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))) = multiply(add(X11,n1),add(X12,n1))]. % 0.91/1.26 [348=param(54,144),[103], % 0.91/1.26 multiply(multiply(n1,add(X11,add(X10,n1))),add(X12,n1)) = add(X10,n1)]. % 0.91/1.26 [358=param(348,105),[], % 0.91/1.26 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = add(X12,n1)]. % 0.91/1.26 [362=param(358,19),[], % 0.91/1.26 multiply(multiply(n1,add(X10,n1)),multiply(n1,add(X11,add(X12,n1)))) = add(X13,n1)]. % 0.91/1.26 [367=param(358,147),[], % 0.91/1.26 multiply(multiply(n1,multiply(n1,multiply(n1,add(X10,n1)))),add(X11,n1)) = add(X12,n1)]. % 0.91/1.26 [382=param(358,129),[], % 0.91/1.26 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = add(n1,multiply(n1,n1))]. % 0.91/1.26 [389=param(358,217),[], % 0.91/1.26 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = multiply(multiply(n1,n1),add(X12,n1))]. % 0.91/1.26 [399=param(227,13),[14,-26,128], % 0.91/1.26 add(n1,multiply(n1,n1)) = n1]. % 0.91/1.26 [400=demod(382),[399], % 0.91/1.26 multiply(multiply(n1,add(X10,n1)),add(X11,n1)) = n1]. % 0.91/1.26 [401=demod(389),[400], % 0.91/1.26 multiply(multiply(n1,n1),add(X10,n1)) = n1]. % 0.91/1.26 [402=demod(268),[401], % 0.91/1.26 multiply(n1,add(X10,n1)) = multiply(multiply(n1,n1),n1)]. % 0.91/1.26 [408=demod(367),[402], % 0.91/1.26 multiply(multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))),add(X10,n1)) = add(X11,n1)]. % 0.91/1.26 [411=demod(362),[402], % 0.91/1.26 multiply(multiply(multiply(n1,n1),n1),multiply(n1,add(X10,add(X11,n1)))) = add(X12,n1)]. % 0.91/1.26 [413=demod(305),[402], % 0.91/1.26 multiply(add(X10,n1),add(X11,n1)) = multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))]. % 0.91/1.26 [417=demod(208),[413], % 0.91/1.26 multiply(n1,add(X10,add(X11,n1))) = multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))))]. % 0.91/1.26 [418=demod(411),[417], % 0.91/1.26 add(X10,n1) = multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))]. % 0.91/1.26 [422=demod(402),[418], % 0.91/1.26 multiply(n1,multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = multiply(multiply(n1,n1),n1)]. % 0.91/1.26 [423=demod(401),[418], % 0.91/1.26 multiply(multiply(n1,n1),multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1)))))) = n1]. % 0.91/1.26 [433=demod(408),[418,418], % 0.91/1.26 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)))))]. % 0.91/1.26 [438=demod(54),[418], % 0.91/1.26 add(X10,multiply(n1,X10)) = multiply(X10,multiply(multiply(multiply(n1,n1),n1),multiply(n1,multiply(n1,multiply(n1,multiply(multiply(n1,n1),n1))))))]. % 0.91/1.26 [439=demod(399),[438,422], % 0.91/1.26 multiply(multiply(n1,n1),n1) = n1]. % 0.91/1.26 [440=demod(438),[439,439,24,24,24], % 0.91/1.26 add(X10,multiply(n1,X10)) = multiply(X10,multiply(n1,n1))]. % 0.91/1.26 [445=demod(433),[439,24,439,439,24,24,24,439,439,24,24,24], % 0.91/1.26 multiply(multiply(n1,n1),multiply(n1,n1)) = multiply(n1,n1)]. % 0.91/1.26 [448=demod(423),[439,439,24,24,24,445], % 0.91/1.26 multiply(n1,n1) = n1]. % 0.91/1.26 [453=demod(440),[448], % 0.91/1.26 add(X10,multiply(n1,X10)) = multiply(X10,n1)]. % 0.91/1.26 [454=demod(418),[448,448,448,448,448,448,448,448], % 0.91/1.26 add(X10,n1) = n1]. % 0.91/1.26 [455=demod(43),[454,454], % 0.91/1.26 multiply(n1,multiply(inverse(X10),n1)) = multiply(inverse(X10),n1)]. % 0.91/1.26 [457=demod(141),[454,454,454], % 0.91/1.26 add(n1,multiply(X10,n1)) = multiply(n1,add(n1,X10))]. % 0.91/1.26 [459=demod(38),[454], % 0.91/1.26 add(inverse(X10),inverse(X10)) = multiply(inverse(X10),n1)]. % 0.91/1.26 [462=param(83,41),[9,459,455,448,454], % 0.91/1.26 multiply(multiply(inverse(X10),n1),n1) = multiply(inverse(X10),n1)]. % 0.91/1.26 [466=param(18,453),[], % 0.91/1.26 add(X10,multiply(multiply(n1,add(X11,X10)),X10)) = multiply(X10,multiply(add(X11,X10),n1))]. % 0.91/1.26 [474=param(13,462),[13], % 0.91/1.26 multiply(inverse(X10),n1) = inverse(X10)]. % 0.91/1.26 [485=param(9,474),[], % 0.91/1.26 add(inverse(X10),multiply(X11,n1)) = multiply(n1,add(inverse(X10),X11))]. % 0.91/1.26 [486=demod(25),[485], % 0.91/1.26 multiply(n1,add(inverse(n1),X10)) = X10]. % 0.91/1.26 [487=param(9,474),[], % 0.91/1.26 add(multiply(X10,n1),inverse(X11)) = multiply(n1,add(X10,inverse(X11)))]. % 0.91/1.26 [490=param(457,474),[], % 0.91/1.26 multiply(n1,add(n1,inverse(X10))) = add(n1,inverse(X10))]. % 0.91/1.26 [491=demod(28),[490], % 0.91/1.26 add(inverse(X10),add(n1,inverse(X10))) = n1]. % 0.91/1.26 [496=param(486,8),[448], % 0.91/1.26 inverse(inverse(n1)) = n1]. % 0.91/1.26 [497=param(9,486),[], % 0.91/1.26 add(X10,multiply(X11,add(inverse(n1),X10))) = multiply(add(inverse(n1),X10),add(n1,X11))]. % 0.91/1.26 [501=param(486,87),[], % 0.91/1.26 multiply(n1,add(add(X10,inverse(n1)),inverse(n1))) = multiply(n1,add(X10,inverse(n1)))]. % 0.91/1.26 [504=param(11,496),[496,454,9], % 0.91/1.26 multiply(n1,add(X10,X10)) = X10]. % 0.91/1.26 [509=param(12,496),[496,454,474,487], % 0.91/1.26 multiply(n1,add(X10,inverse(n1))) = X10]. % 0.91/1.26 [510=demod(501),[509,509], % 0.91/1.26 add(X10,inverse(n1)) = X10]. % 0.91/1.26 [511=demod(509),[510], % 0.91/1.26 multiply(n1,X10) = X10]. % 0.91/1.26 [512=demod(453),[511], % 0.91/1.26 add(X10,X10) = multiply(X10,n1)]. % 0.91/1.26 [517=demod(504),[512,511], % 0.91/1.26 multiply(X10,n1) = X10]. % 0.91/1.26 [518=demod(84),[517,517,517], % 0.91/1.26 add(multiply(X10,X11),X11) = multiply(X11,add(X10,X11))]. % 0.91/1.26 [521=demod(19),[518], % 0.91/1.26 multiply(X10,add(X11,add(X12,X10))) = multiply(X10,add(X11,X10))]. % 0.91/1.26 [529=demod(512),[517], % 0.91/1.26 add(X10,X10) = X10]. % 0.91/1.26 [532=demod(83),[517,517,517], % 0.91/1.26 add(X10,multiply(X11,X10)) = multiply(X10,add(X10,X11))]. % 0.91/1.26 [542=demod(466),[511,14,529,517], % 0.91/1.26 multiply(X10,add(X11,X10)) = X10]. % 0.91/1.26 [543=demod(521),[542], % 0.91/1.26 multiply(X10,add(X11,add(X12,X10))) = X10]. % 0.91/1.26 [544=demod(518),[542], % 0.91/1.26 add(multiply(X10,X11),X11) = X11]. % 0.91/1.26 [545=demod(486),[511], % 0.91/1.26 add(inverse(n1),X10) = X10]. % 0.91/1.26 [546=demod(497),[545,532,545], % 0.91/1.26 multiply(X10,add(X10,X11)) = multiply(X10,add(n1,X11))]. % 0.91/1.26 [549=param(529,9),[529], % 0.91/1.26 multiply(X10,X11) = multiply(X11,X10)]. % 0.91/1.26 [553=param(12,545),[9,545,549], % 0.91/1.26 multiply(X10,inverse(X10)) = inverse(n1)]. % 0.91/1.26 [557=param(9,553),[545], % 0.91/1.26 multiply(inverse(X11),add(X11,X10)) = multiply(X10,inverse(X11))]. % 0.91/1.26 [558=param(9,553),[510], % 0.91/1.26 multiply(inverse(X11),add(X10,X11)) = multiply(X10,inverse(X11))]. % 0.91/1.26 [570=param(9,542),[], % 0.91/1.26 add(X10,multiply(X11,add(X12,X10))) = multiply(add(X12,X10),add(X10,X11))]. % 0.91/1.26 [571=demod(32),[570], % 0.91/1.26 multiply(add(n1,inverse(X10)),add(inverse(X10),X10)) = n1]. % 0.91/1.26 [574=param(532,542),[546], % 0.91/1.26 add(add(X10,X11),X11) = multiply(add(X10,X11),add(n1,X11))]. % 0.91/1.26 [576=param(544,542),[], % 0.91/1.26 add(X10,add(X11,X10)) = add(X11,X10)]. % 0.91/1.26 [577=demod(491),[576], % 0.91/1.26 add(n1,inverse(X10)) = n1]. % 0.91/1.26 [579=demod(571),[577,511], % 0.91/1.26 add(inverse(X10),X10) = n1]. % 0.91/1.26 [581=param(12,579),[549,553,517,545], % 0.91/1.26 inverse(inverse(X10)) = X10]. % 0.91/1.26 [583=param(11,581),[581], % 0.91/1.26 add(multiply(X10,X11),multiply(X10,add(X10,X11))) = X10]. % 0.91/1.26 [587=param(577,581),[], % 0.91/1.26 add(n1,X10) = n1]. % 0.91/1.26 [588=demod(574),[587,517], % 0.91/1.26 add(add(X10,X11),X11) = add(X10,X11)]. % 0.91/1.26 [589=demod(546),[587,517], % 0.91/1.26 multiply(X10,add(X10,X11)) = X10]. % 0.91/1.26 [590=demod(583),[589], % 0.91/1.26 add(multiply(X10,X11),X10) = X10]. % 0.91/1.26 [592=demod(532),[589], % 0.91/1.26 add(X10,multiply(X11,X10)) = X10]. % 0.91/1.26 [597=param(544,543),[], % 0.91/1.26 add(X10,add(X11,add(X12,X10))) = add(X11,add(X12,X10))]. % 0.91/1.26 [603=param(590,31),[], % 0.91/1.26 add(multiply(X10,add(X11,inverse(X10))),X11) = X11]. % 0.91/1.26 [608=param(16,549),[549], % 0.91/1.26 thtop(add(a,multiply(c,b)),multiply(add(a,c),add(a,b))) = thmtrue]. % 0.91/1.26 [610=param(592,549),[], % 0.91/1.26 add(X10,multiply(X10,X11)) = X10]. % 0.91/1.26 [618=param(9,589),[], % 0.91/1.26 add(multiply(X10,add(X11,X12)),X11) = multiply(add(X11,X12),add(X10,X11))]. % 0.91/1.26 [619=demod(603),[618], % 0.91/1.26 multiply(add(X10,inverse(X11)),add(X11,X10)) = X10]. % 0.91/1.26 [621=param(592,589),[], % 0.91/1.26 add(add(X10,X11),X10) = add(X10,X11)]. % 0.91/1.26 [623=param(543,621),[], % 0.91/1.26 multiply(X10,add(X11,add(X10,X12))) = X10]. % 0.91/1.26 [625=param(557,581),[581], % 0.91/1.26 multiply(X10,add(inverse(X10),X11)) = multiply(X11,X10)]. % 0.91/1.26 [631=param(557,588),[549,553], % 0.91/1.26 multiply(X10,inverse(add(X11,X10))) = inverse(n1)]. % 0.91/1.26 [663=param(570,557),[610], % 0.91/1.26 multiply(add(X11,X10),add(X10,inverse(X11))) = X10]. % 0.91/1.26 [664=param(570,558),[8,517], % 0.91/1.26 add(X10,multiply(X11,inverse(X10))) = add(X11,X10)]. % 0.91/1.26 [670=demod(621),[-664,549,557], % 0.91/1.26 add(X10,multiply(X11,inverse(X10))) = add(X10,X11)]. % 0.91/1.26 [671=demod(664),[670], % 0.91/1.26 add(X10,X11) = add(X11,X10)]. % 0.91/1.26 [680=param(670,549),[], % 0.91/1.26 add(X10,multiply(inverse(X10),X11)) = add(X10,X11)]. % 0.91/1.26 [682=param(670,581),[], % 0.91/1.26 add(inverse(X10),multiply(X11,X10)) = add(inverse(X10),X11)]. % 0.91/1.26 [689=param(680,581),[], % 0.91/1.26 add(inverse(X10),multiply(X10,X11)) = add(inverse(X10),X11)]. % 0.91/1.26 [746=param(623,671),[], % 0.91/1.26 multiply(X10,add(add(X10,X11),X12)) = X10]. % 0.91/1.26 [799=param(689,631),[510], % 0.91/1.26 add(inverse(X10),inverse(add(X11,X10))) = inverse(X10)]. % 0.91/1.26 [800=param(689,746),[671,8], % 0.91/1.26 add(inverse(X10),add(add(X10,X11),X12)) = n1]. % 0.91/1.26 [880=param(800,597),[], % 0.91/1.26 add(add(X10,X11),add(X12,inverse(X10))) = n1]. % 0.91/1.26 [976=param(619,671),[549], % 0.91/1.26 multiply(add(X10,X11),add(inverse(X10),X11)) = X11]. % 0.91/1.26 [977=param(682,619),[671], % 0.91/1.26 add(inverse(add(X11,X10)),add(X10,inverse(X11))) = add(X10,inverse(add(X11,X10)))]. % 0.91/1.26 [1111=param(976,880),[511], % 0.91/1.26 add(inverse(add(X10,X11)),add(X12,inverse(X10))) = add(X12,inverse(X10))]. % 0.91/1.26 [1112=demod(977),[1111], % 0.91/1.26 add(X10,inverse(add(X11,X10))) = add(X10,inverse(X11))]. % 0.91/1.26 [1131=param(663,799),[581,671,1112,557], % 0.91/1.26 inverse(add(X10,X11)) = multiply(inverse(X10),inverse(X11))]. % 0.91/1.26 [1153=param(1131,9),[], % 0.91/1.26 inverse(multiply(X10,add(X11,X12))) = multiply(inverse(multiply(X11,X10)),inverse(multiply(X12,X10)))]. % 0.91/1.26 [1154=param(581,1131),[], % 0.91/1.26 add(X10,X11) = inverse(multiply(inverse(X10),inverse(X11)))]. % 0.91/1.26 [1217=demod(1153),[1154], % 0.91/1.26 multiply(inverse(multiply(X11,X10)),inverse(multiply(X12,X10))) = inverse(multiply(X10,inverse(multiply(inverse(X11),inverse(X12)))))]. % 0.91/1.26 [1255=demod(625),[1154,581], % 0.91/1.26 multiply(X10,inverse(multiply(X10,inverse(X11)))) = multiply(X11,X10)]. % 0.91/1.26 [1256=demod(682),[1154,581,1154,581], % 0.91/1.26 inverse(multiply(X10,inverse(multiply(X11,X10)))) = inverse(multiply(X10,inverse(X11)))]. % 0.91/1.26 [1257=demod(689),[1154,581,1154,581], % 0.91/1.26 inverse(multiply(X10,inverse(multiply(X10,X11)))) = inverse(multiply(X10,inverse(X11)))]. % 0.91/1.26 [1409=param(608,1154),[1154,-1255,581,-1255,581,-1255,1257,581,1256,1256,1154,-1255,581,-1255,581,-1255,1257,581,1256,1256,1217,581,581,15], % 0.91/1.26 thmtrue = thmfalse]. % 0.91/1.26 % SZS output end CNFRefutation % 0.91/1.26 Space: 1155 KB %------------------------------------------------------------------------------