%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : RNG021-6 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n020.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 : Mon Jul 18 20:27:48 EDT 2022 % Result : Unsatisfiable 186.97s 187.48s % Output : CNFRefutation 186.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.13 % Problem : RNG021-6 : TPTP v8.1.0. Released v1.0.0. % 0.09/0.14 % Command : fiesta-wrapper %s % 0.13/0.35 % Computer : n020.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon May 30 16:39:39 EDT 2022 % 0.13/0.35 % CPUTime : % 186.97/187.48 Theorem Proved. % 186.97/187.48 % SZS status Unsatisfiable % 186.97/187.48 % SZS output start CNFRefutation % 186.97/187.48 [1=axiom,[], % 186.97/187.48 add(multiply(X11,X10),additive_inverse(multiply(X10,X11))) = commutator(X10,X11)]. % 186.97/187.48 [2=axiom,[], % 186.97/187.48 associator(X10,X11,X12) = add(multiply(multiply(X10,X11),X12),additive_inverse(multiply(X10,multiply(X11,X12))))]. % 186.97/187.48 [5=axiom,[], % 186.97/187.48 add(add(X10,X11),X12) = add(X10,add(X11,X12))]. % 186.97/187.48 [6=axiom,[], % 186.97/187.48 add(X10,X11) = add(X11,X10)]. % 186.97/187.48 [7=demod(2),[6], % 186.97/187.48 associator(X10,X11,X12) = add(additive_inverse(multiply(X10,multiply(X11,X12))),multiply(multiply(X10,X11),X12))]. % 186.97/187.48 [8=axiom,[], % 186.97/187.48 add(multiply(X10,X12),multiply(X11,X12)) = multiply(add(X10,X11),X12)]. % 186.97/187.48 [9=axiom,[], % 186.97/187.48 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))]. % 186.97/187.48 [10=axiom,[], % 186.97/187.48 additive_inverse(additive_inverse(X10)) = X10]. % 186.97/187.48 [11=axiom,[], % 186.97/187.48 add(X10,additive_inverse(X10)) = additive_identity]. % 186.97/187.48 [12=axiom,[], % 186.97/187.48 multiply(X10,additive_identity) = additive_identity]. % 186.97/187.48 [13=axiom,[], % 186.97/187.48 multiply(additive_identity,X10) = additive_identity]. % 186.97/187.48 [14=axiom,[], % 186.97/187.48 add(X10,additive_identity) = X10]. % 186.97/187.48 [15=axiom,[], % 186.97/187.48 add(additive_identity,X10) = X10]. % 186.97/187.48 [16=axiom,[], % 186.97/187.48 thtop(X10,X10) = thmfalse]. % 186.97/187.48 [17=axiom,[6,7,7,7,5], % 186.97/187.48 thtop(add(additive_inverse(multiply(add(v,u),multiply(x,y))),multiply(multiply(add(v,u),x),y)),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(u,x),y),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(v,x),y))))) = thmtrue]. % 186.97/187.48 [23=param(11,15),[], % 186.97/187.48 additive_inverse(additive_identity) = additive_identity]. % 186.97/187.48 [25=param(5,11),[15], % 186.97/187.48 add(X11,add(additive_inverse(X11),X10)) = X10]. % 186.97/187.48 [26=param(6,1),[], % 186.97/187.48 add(additive_inverse(multiply(X10,X11)),multiply(X11,X10)) = commutator(X10,X11)]. % 186.97/187.48 [27=param(6,5),[], % 186.97/187.48 add(X10,add(X11,X12)) = add(X11,add(X12,X10))]. % 186.97/187.48 [28=param(5,6),[5], % 186.97/187.48 add(X10,add(X11,X12)) = add(X11,add(X10,X12))]. % 186.97/187.48 [30=param(25,6),[5], % 186.97/187.48 add(additive_inverse(X11),add(X10,X11)) = X10]. % 186.97/187.48 [31=param(25,6),[], % 186.97/187.48 add(X10,add(X11,additive_inverse(X10))) = X11]. % 186.97/187.48 [32=param(31,1),[6], % 186.97/187.48 add(commutator(X10,X11),multiply(X10,X11)) = multiply(X11,X10)]. % 186.97/187.48 [39=param(30,6),[], % 186.97/187.48 add(additive_inverse(X10),add(X10,X11)) = X11]. % 186.97/187.48 [42=param(30,30),[6], % 186.97/187.48 add(X10,additive_inverse(add(X10,X11))) = additive_inverse(X11)]. % 186.97/187.48 [43=param(39,1),[6], % 186.97/187.48 add(commutator(X10,X11),additive_inverse(multiply(X11,X10))) = additive_inverse(multiply(X10,X11))]. % 186.97/187.48 [46=param(30,39),[6], % 186.97/187.48 add(X10,additive_inverse(add(X11,X10))) = additive_inverse(X11)]. % 186.97/187.48 [53=param(46,5),[], % 186.97/187.48 add(X10,additive_inverse(add(X11,add(X12,X10)))) = additive_inverse(add(X11,X12))]. % 186.97/187.48 [55=param(46,8),[], % 186.97/187.48 add(multiply(X10,X11),additive_inverse(multiply(add(X12,X10),X11))) = additive_inverse(multiply(X12,X11))]. % 186.97/187.48 [56=param(46,9),[], % 186.97/187.48 add(multiply(X10,X11),additive_inverse(multiply(X10,add(X12,X11)))) = additive_inverse(multiply(X10,X12))]. % 186.97/187.48 [57=param(25,46),[], % 186.97/187.48 add(X10,additive_inverse(X11)) = additive_inverse(add(X11,additive_inverse(X10)))]. % 186.97/187.48 [58=param(39,46),[], % 186.97/187.48 add(additive_inverse(X10),additive_inverse(X11)) = additive_inverse(add(X11,X10))]. % 186.97/187.48 [62=param(39,42),[], % 186.97/187.48 add(additive_inverse(X10),additive_inverse(X11)) = additive_inverse(add(X10,X11))]. % 186.97/187.48 [63=demod(58),[62], % 186.97/187.48 additive_inverse(add(X10,X11)) = additive_inverse(add(X11,X10))]. % 186.97/187.48 [65=param(62,10),[], % 186.97/187.48 add(additive_inverse(X10),X11) = additive_inverse(add(X10,additive_inverse(X11)))]. % 186.97/187.48 [67=demod(26),[65,1], % 186.97/187.48 additive_inverse(commutator(X10,X11)) = commutator(X11,X10)]. % 186.97/187.48 [72=param(11,67),[], % 186.97/187.48 add(commutator(X10,X11),commutator(X11,X10)) = additive_identity]. % 186.97/187.48 [73=param(65,67),[], % 186.97/187.48 add(commutator(X10,X11),X12) = additive_inverse(add(commutator(X11,X10),additive_inverse(X12)))]. % 186.97/187.48 [74=param(5,72),[15], % 186.97/187.48 add(commutator(X11,X12),add(commutator(X12,X11),X10)) = X10]. % 186.97/187.48 [82=param(27,65),[], % 186.97/187.48 add(X10,additive_inverse(add(X11,additive_inverse(X12)))) = add(X12,add(X10,additive_inverse(X11)))]. % 186.97/187.48 [83=param(27,72),[14], % 186.97/187.48 add(commutator(X11,X12),add(X10,commutator(X12,X11))) = X10]. % 186.97/187.48 [84=param(63,5),[], % 186.97/187.48 additive_inverse(add(X10,add(X11,X12))) = additive_inverse(add(X12,add(X10,X11)))]. % 186.97/187.48 [88=param(5,32),[], % 186.97/187.48 add(multiply(X10,X11),X12) = add(commutator(X11,X10),add(multiply(X11,X10),X12))]. % 186.97/187.48 [89=param(27,32),[], % 186.97/187.48 add(X10,multiply(X11,X12)) = add(multiply(X12,X11),add(X10,commutator(X12,X11)))]. % 186.97/187.48 [94=param(28,42),[], % 186.97/187.48 add(X12,add(X10,additive_inverse(add(X12,X11)))) = add(X10,additive_inverse(X11))]. % 186.97/187.48 [95=param(28,46),[], % 186.97/187.48 add(X12,add(X10,additive_inverse(add(X11,X12)))) = add(X10,additive_inverse(X11))]. % 186.97/187.48 [97=param(28,65),[65], % 186.97/187.48 add(X10,additive_inverse(add(X11,additive_inverse(X12)))) = additive_inverse(add(X11,additive_inverse(add(X10,X12))))]. % 186.97/187.48 [99=demod(31),[], % 186.97/187.48 add(X10,add(X11,additive_inverse(X10))) = X11]. % 186.97/187.48 [102=param(5,83),[5], % 186.97/187.48 add(commutator(X12,X13),add(X10,add(commutator(X13,X12),X11))) = add(X10,X11)]. % 186.97/187.48 [103=param(28,83),[], % 186.97/187.48 add(commutator(X12,X13),add(X10,add(X11,commutator(X13,X12)))) = add(X10,X11)]. % 186.97/187.48 [153=param(53,6),[], % 186.97/187.48 add(X10,additive_inverse(add(X11,add(X10,X12)))) = additive_inverse(add(X11,X12))]. % 186.97/187.48 [157=param(55,11),[13,23,6,15], % 186.97/187.48 multiply(additive_inverse(X10),X11) = additive_inverse(multiply(X10,X11))]. % 186.97/187.48 [161=param(1,157),[65,10], % 186.97/187.48 additive_inverse(add(multiply(X10,X11),multiply(X11,additive_inverse(X10)))) = commutator(X11,additive_inverse(X10))]. % 186.97/187.48 [163=param(8,157),[], % 186.97/187.48 add(multiply(X10,X11),additive_inverse(multiply(X12,X11))) = multiply(add(X10,additive_inverse(X12)),X11)]. % 186.97/187.48 [166=param(56,11),[12,23,6,15], % 186.97/187.48 multiply(X10,additive_inverse(X11)) = additive_inverse(multiply(X10,X11))]. % 186.97/187.48 [168=demod(161),[166,1], % 186.97/187.48 commutator(X10,additive_inverse(X11)) = additive_inverse(commutator(X10,X11))]. % 186.97/187.48 [170=param(67,168),[10], % 186.97/187.48 commutator(X10,X11) = commutator(additive_inverse(X11),X10)]. % 186.97/187.48 [177=param(170,67),[], % 186.97/187.48 commutator(additive_inverse(X10),X11) = additive_inverse(commutator(X10,X11))]. % 186.97/187.48 [178=param(177,57),[], % 186.97/187.48 commutator(add(X10,additive_inverse(X11)),X12) = additive_inverse(commutator(add(X11,additive_inverse(X10)),X12))]. % 186.97/187.48 [179=param(177,63),[177], % 186.97/187.48 additive_inverse(commutator(add(X10,X11),X12)) = additive_inverse(commutator(add(X11,X10),X12))]. % 186.97/187.48 [208=param(84,57),[65,10], % 186.97/187.48 additive_inverse(add(X10,additive_inverse(add(X11,additive_inverse(X12))))) = add(X11,additive_inverse(add(X10,X12)))]. % 186.97/187.48 [209=param(10,179),[10], % 186.97/187.48 commutator(add(X10,X11),X12) = commutator(add(X11,X10),X12)]. % 186.97/187.48 [230=param(209,67),[], % 186.97/187.48 commutator(add(X10,X11),X12) = additive_inverse(commutator(X12,add(X11,X10)))]. % 186.97/187.48 [246=param(67,230),[10], % 186.97/187.48 commutator(X10,add(X11,X12)) = commutator(X10,add(X12,X11))]. % 186.97/187.48 [250=param(230,230),[10], % 186.97/187.48 commutator(add(X10,X11),add(X12,X13)) = commutator(add(X11,X10),add(X13,X12))]. % 186.97/187.48 [302=param(67,178),[10], % 186.97/187.48 commutator(add(X10,additive_inverse(X11)),X12) = commutator(X12,add(X11,additive_inverse(X10)))]. % 186.97/187.48 [337=param(5,9),[], % 186.97/187.48 add(multiply(X10,add(X11,X12)),X13) = add(multiply(X10,X11),add(multiply(X10,X12),X13))]. % 186.97/187.48 [342=param(28,1),[], % 186.97/187.48 add(multiply(X12,X11),add(X10,additive_inverse(multiply(X11,X12)))) = add(X10,commutator(X11,X12))]. % 186.97/187.48 [356=param(28,43),[], % 186.97/187.48 add(X10,additive_inverse(multiply(X11,X12))) = add(commutator(X11,X12),add(X10,additive_inverse(multiply(X12,X11))))]. % 186.97/187.48 [396=param(94,74),[], % 186.97/187.48 add(commutator(X10,X11),add(X12,additive_inverse(X13))) = add(X12,additive_inverse(add(commutator(X11,X10),X13)))]. % 186.97/187.48 [397=param(73,27),[], % 186.97/187.48 additive_inverse(add(commutator(X10,X11),additive_inverse(add(X12,X13)))) = add(X12,add(X13,commutator(X11,X10)))]. % 186.97/187.48 [401=param(73,28),[], % 186.97/187.48 additive_inverse(add(commutator(X10,X11),additive_inverse(add(X12,X13)))) = add(X12,add(commutator(X11,X10),X13))]. % 186.97/187.48 [418=param(230,246),[], % 186.97/187.48 additive_inverse(commutator(add(X10,X11),add(X12,X13))) = commutator(add(X13,X12),add(X11,X10))]. % 186.97/187.48 [569=param(88,8),[], % 186.97/187.48 add(multiply(X11,X10),multiply(X12,X11)) = add(commutator(X10,X11),multiply(add(X10,X12),X11))]. % 186.97/187.48 [570=param(88,9),[], % 186.97/187.48 add(multiply(X11,X10),multiply(X10,X12)) = add(commutator(X10,X11),multiply(X10,add(X11,X12)))]. % 186.97/187.48 [573=param(570,8),[], % 186.97/187.48 add(commutator(X10,X11),multiply(X10,add(X11,X10))) = multiply(add(X11,X10),X10)]. % 186.97/187.48 [575=param(46,573),[1,170,177], % 186.97/187.48 additive_inverse(commutator(X10,add(X11,X10))) = additive_inverse(commutator(X10,X11))]. % 186.97/187.48 [588=param(10,575),[10], % 186.97/187.48 commutator(X10,add(X11,X10)) = commutator(X10,X11)]. % 186.97/187.48 [589=param(588,5),[], % 186.97/187.48 commutator(X10,add(X11,add(X12,X10))) = commutator(X10,add(X11,X12))]. % 186.97/187.48 [590=param(588,6),[], % 186.97/187.48 commutator(X10,add(X10,X11)) = commutator(X10,X11)]. % 186.97/187.48 [595=param(588,28),[], % 186.97/187.48 commutator(add(X10,X11),add(X10,add(X12,X11))) = commutator(add(X10,X11),X12)]. % 186.97/187.48 [625=param(590,82),[], % 186.97/187.48 commutator(X10,add(X11,additive_inverse(add(X12,additive_inverse(X10))))) = commutator(X10,add(X11,additive_inverse(X12)))]. % 186.97/187.48 [628=param(590,94),[], % 186.97/187.48 commutator(X10,add(X11,additive_inverse(add(X10,X12)))) = commutator(X10,add(X11,additive_inverse(X12)))]. % 186.97/187.48 [786=param(625,46),[10], % 186.97/187.48 commutator(add(X10,X11),add(X12,X10)) = commutator(add(X10,X11),add(X12,additive_inverse(X11)))]. % 186.97/187.48 [1380=param(786,418),[65,177,10], % 186.97/187.48 commutator(add(X10,X11),add(X12,X10)) = commutator(add(X11,additive_inverse(X12)),add(X11,X10))]. % 186.97/187.48 [1447=param(1380,250),[], % 186.97/187.48 commutator(add(X10,additive_inverse(X11)),add(X10,X12)) = commutator(add(X10,X12),add(X12,X11))]. % 186.97/187.48 [1461=param(1447,302),[10], % 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X11,additive_inverse(X12)),add(X10,X12))]. % 186.97/187.48 [1477=param(1461,418),[65,168,10], % 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X12,X10),add(X12,additive_inverse(X11)))]. % 186.97/187.48 [1486=param(1477,302),[10], % 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X11,X10),add(X12,additive_inverse(X11)))]. % 186.97/187.48 [1499=param(1486,418),[65,177,10], % 186.97/187.48 commutator(add(X10,X11),add(X10,X12)) = commutator(add(X11,additive_inverse(X12)),add(X10,X11))]. % 186.97/187.48 [1504=param(1499,302),[10], % 186.97/187.48 commutator(add(X10,X11),add(X12,X10)) = commutator(add(X11,additive_inverse(X12)),add(X12,X10))]. % 186.97/187.48 [1727=param(153,95),[], % 186.97/187.48 add(X10,additive_inverse(add(X11,add(X12,additive_inverse(X13))))) = additive_inverse(add(X11,add(X12,additive_inverse(add(X13,X10)))))]. % 186.97/187.48 [1733=param(94,9),[], % 186.97/187.48 add(multiply(X10,X11),add(X12,additive_inverse(multiply(X10,add(X11,X13))))) = add(X12,additive_inverse(multiply(X10,X13)))]. % 186.97/187.48 [1901=param(27,88),[], % 186.97/187.48 add(X10,add(commutator(X11,X12),add(multiply(X11,X12),X13))) = add(X13,add(X10,multiply(X12,X11)))]. % 186.97/187.48 [1930=param(88,163),[], % 186.97/187.48 add(multiply(X11,X10),additive_inverse(multiply(X12,X11))) = add(commutator(X10,X11),multiply(add(X10,additive_inverse(X12)),X11))]. % 186.97/187.48 [2028=param(97,97),[10], % 186.97/187.48 additive_inverse(add(X10,add(X11,additive_inverse(add(X12,additive_inverse(X13)))))) = add(X12,additive_inverse(add(X10,add(X11,X13))))]. % 186.97/187.48 [6678=param(1733,43),[1930,42,157], % 186.97/187.48 add(commutator(add(X10,X12),X11),additive_inverse(multiply(X11,X12))) = add(commutator(X10,X11),additive_inverse(multiply(X12,X11)))]. % 186.97/187.48 [6682=param(99,6678),[342], % 186.97/187.48 add(commutator(X10,X11),commutator(X12,X11)) = commutator(add(X10,X12),X11)]. % 186.97/187.48 [6691=param(5,6682),[], % 186.97/187.48 add(commutator(add(X10,X11),X12),X13) = add(commutator(X10,X12),add(commutator(X11,X12),X13))]. % 186.97/187.48 [6935=param(102,6682),[], % 186.97/187.48 add(commutator(X10,X11),add(X12,commutator(add(X11,X13),X10))) = add(X12,commutator(X13,X10))]. % 186.97/187.48 [7000=param(6682,590),[], % 186.97/187.48 add(commutator(X10,X11),commutator(X12,add(X10,X11))) = commutator(add(X10,X12),add(X10,X11))]. % 186.97/187.48 [7354=param(7000,589),[595], % 186.97/187.48 add(commutator(X10,add(X11,X12)),commutator(X12,add(X10,X11))) = commutator(add(X10,X12),X11)]. % 186.97/187.48 [7426=param(7354,246),[], % 186.97/187.48 add(commutator(X10,add(X11,X12)),commutator(X11,add(X10,X12))) = commutator(add(X10,X11),X12)]. % 186.97/187.48 [7442=param(7426,1504),[5,65,628,10,99], % 186.97/187.48 add(commutator(X10,add(X11,X12)),commutator(add(X12,X11),add(X10,X12))) = commutator(X11,X12)]. % 186.97/187.48 [7502=param(103,6935),[-397], % 186.97/187.48 additive_inverse(add(commutator(X10,X11),additive_inverse(add(commutator(X10,add(X12,X11)),X13)))) = add(commutator(X10,X12),X13)]. % 186.97/187.48 [7599=param(5,7442),[6691,588,-401,7502], % 186.97/187.48 add(commutator(X13,X10),add(commutator(X10,add(X13,X11)),X12)) = add(commutator(X10,X11),X12)]. % 186.97/187.48 [7615=param(74,7599),[], % 186.97/187.48 add(commutator(X10,add(X11,X12)),X13) = add(commutator(X10,X11),add(commutator(X10,X12),X13))]. % 186.97/187.48 [9194=param(17,1901),[89,6,356,170,177,6,65,337,88,88,-401,170,177,65,10,10,-396,170,177,-396,170,177,-2028,10,65,7615,170,177,170,177,65,10,65,10,10,-396,170,177,-396,170,177,65,65,10,-396,170,177,-396,170,177,10,65,65,10,10,65,153,10,65,42,10,1727,32,569,170,177,8,65,42,10,65,-208,10,65,10,16], % 186.97/187.50 thmtrue = thmfalse]. % 186.97/187.50 % SZS output end CNFRefutation % 186.97/187.50 Space: 532467 KB %------------------------------------------------------------------------------