%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n026.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 0.70s 1.13s % Output : CNFRefutation 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 14 01:06:51 EDT 2022 % 0.12/0.33 % CPUTime : % 0.70/1.13 Theorem Proved. % 0.70/1.13 % SZS status Unsatisfiable % 0.70/1.13 % SZS output start CNFRefutation % 0.70/1.13 [1=axiom,[], % 0.70/1.13 multiply(X10,multiply(X10,X10)) = identity]. % 0.70/1.13 [2=axiom,[], % 0.70/1.13 multiply(X10,multiply(X11,multiply(inverse(X10),inverse(X11)))) = commutator(X10,X11)]. % 0.70/1.13 [3=axiom,[], % 0.70/1.13 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.70/1.13 [4=axiom,[], % 0.70/1.13 multiply(inverse(X10),X10) = identity]. % 0.70/1.13 [5=axiom,[], % 0.70/1.13 multiply(identity,X10) = X10]. % 0.70/1.13 [6=axiom,[], % 0.70/1.13 thtop(X10,X10) = thmfalse]. % 0.70/1.13 [7=axiom,[], % 0.70/1.13 thtop(commutator(commutator(a,b),b),identity) = thmtrue]. % 0.70/1.13 [9=param(2,5),[], % 0.70/1.13 multiply(X10,multiply(inverse(identity),inverse(X10))) = commutator(identity,X10)]. % 0.70/1.13 [10=param(2,5),[], % 0.70/1.13 multiply(X10,multiply(inverse(X10),inverse(identity))) = commutator(X10,identity)]. % 0.70/1.13 [11=param(3,1),[3], % 0.70/1.13 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11))))) = identity]. % 0.70/1.13 [12=param(3,1),[5,3], % 0.70/1.13 multiply(X11,multiply(X11,multiply(X11,X10))) = X10]. % 0.70/1.13 [13=param(3,4),[5], % 0.70/1.13 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.70/1.13 [18=param(3,10),[3], % 0.70/1.13 multiply(commutator(X10,identity),X11) = multiply(X10,multiply(inverse(X10),multiply(inverse(identity),X11)))]. % 0.70/1.13 [19=param(13,1),[], % 0.70/1.13 multiply(inverse(X10),identity) = multiply(X10,X10)]. % 0.70/1.13 [25=param(13,4),[19], % 0.70/1.13 multiply(inverse(X10),inverse(X10)) = X10]. % 0.70/1.13 [26=param(13,5),[], % 0.70/1.13 multiply(inverse(identity),X10) = X10]. % 0.70/1.13 [27=demod(9),[26], % 0.70/1.13 multiply(X10,inverse(X10)) = commutator(identity,X10)]. % 0.70/1.13 [29=demod(18),[26], % 0.70/1.13 multiply(commutator(X10,identity),X11) = multiply(X10,multiply(inverse(X10),X11))]. % 0.70/1.13 [31=param(3,11),[5,3,3,3,3], % 0.70/1.13 multiply(X11,multiply(X12,multiply(X11,multiply(X12,multiply(X11,multiply(X12,X10)))))) = X10]. % 0.70/1.13 [32=param(11,13),[27], % 0.70/1.13 multiply(X10,multiply(inverse(X10),commutator(identity,X10))) = identity]. % 0.70/1.13 [33=param(13,11),[19], % 0.70/1.13 multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11)))) = multiply(X10,X10)]. % 0.70/1.13 [34=param(26,1),[26], % 0.70/1.13 inverse(identity) = identity]. % 0.70/1.13 [35=demod(10),[34,19,1], % 0.70/1.13 commutator(X10,identity) = identity]. % 0.70/1.13 [36=demod(29),[35,5], % 0.70/1.13 multiply(X11,multiply(inverse(X11),X10)) = X10]. % 0.70/1.13 [38=demod(32),[36], % 0.70/1.13 commutator(identity,X10) = identity]. % 0.70/1.13 [39=demod(27),[38], % 0.70/1.13 multiply(X10,inverse(X10)) = identity]. % 0.70/1.13 [40=param(12,1),[], % 0.70/1.13 multiply(X10,identity) = X10]. % 0.70/1.13 [41=demod(19),[40], % 0.70/1.13 multiply(X10,X10) = inverse(X10)]. % 0.70/1.13 [42=demod(33),[41], % 0.70/1.13 multiply(X10,multiply(X11,multiply(X10,multiply(X11,X10)))) = inverse(X11)]. % 0.70/1.13 [43=demod(25),[41], % 0.70/1.13 inverse(inverse(X10)) = X10]. % 0.70/1.13 [45=param(12,2),[], % 0.70/1.13 multiply(X11,multiply(inverse(X10),inverse(X11))) = multiply(X10,multiply(X10,commutator(X10,X11)))]. % 0.70/1.13 [48=param(13,12),[], % 0.70/1.13 multiply(inverse(X10),X11) = multiply(X10,multiply(X10,X11))]. % 0.70/1.13 [49=demod(45),[48], % 0.70/1.13 multiply(X10,multiply(X11,multiply(X11,inverse(X10)))) = multiply(X11,multiply(X11,commutator(X11,X10)))]. % 0.70/1.13 [50=param(41,3),[], % 0.70/1.13 multiply(X10,multiply(X11,multiply(X10,X11))) = inverse(multiply(X10,X11))]. % 0.70/1.13 [51=demod(42),[50], % 0.70/1.13 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.70/1.13 [54=param(51,3),[], % 0.70/1.13 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 0.70/1.13 [55=param(12,51),[], % 0.70/1.13 multiply(X10,multiply(X10,inverse(X11))) = inverse(multiply(X11,X10))]. % 0.70/1.13 [57=param(12,50),[], % 0.70/1.13 multiply(X10,multiply(X10,inverse(multiply(X10,X11)))) = multiply(X11,multiply(X10,X11))]. % 0.70/1.13 [59=param(49,48),[48,12,48,48,12], % 0.70/1.13 multiply(X10,multiply(X11,inverse(X10))) = multiply(X11,commutator(inverse(X11),X10))]. % 0.70/1.13 [60=param(12,49),[], % 0.70/1.13 multiply(X10,multiply(X11,multiply(X10,multiply(X10,inverse(X11))))) = commutator(X10,X11)]. % 0.70/1.13 [62=param(55,48),[48,12], % 0.70/1.13 inverse(multiply(X10,inverse(X11))) = multiply(X11,inverse(X10))]. % 0.70/1.13 [63=param(49,55),[], % 0.70/1.13 multiply(X10,inverse(multiply(X10,X11))) = multiply(X11,multiply(X11,commutator(X11,X10)))]. % 0.70/1.13 [64=param(43,55),[], % 0.70/1.13 inverse(multiply(X10,multiply(X10,inverse(X11)))) = multiply(X11,X10)]. % 0.70/1.13 [66=param(55,62),[], % 0.70/1.13 multiply(X10,inverse(multiply(X11,inverse(X10)))) = inverse(multiply(X11,X10))]. % 0.70/1.13 [69=param(66,51),[43,3], % 0.70/1.13 multiply(X10,multiply(X11,X10)) = inverse(multiply(X11,multiply(X10,X11)))]. % 0.70/1.13 [70=param(64,55),[3,48,3,48,60], % 0.70/1.13 multiply(X11,multiply(X10,commutator(X10,X11))) = multiply(X10,X11)]. % 0.70/1.13 [75=param(54,49),[41,43], % 0.70/1.13 multiply(commutator(X10,X11),inverse(multiply(X11,multiply(X10,multiply(X10,inverse(X11)))))) = X10]. % 0.70/1.13 [76=param(55,54),[3,3,41], % 0.70/1.13 multiply(X10,inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,inverse(X10))))]. % 0.70/1.13 [79=param(31,70),[], % 0.70/1.13 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X11,X10))))) = commutator(X11,X10)]. % 0.70/1.13 [82=param(54,70),[76], % 0.70/1.13 inverse(multiply(X10,multiply(X11,inverse(commutator(X10,X11))))) = inverse(multiply(X11,X10))]. % 0.70/1.13 [85=param(43,82),[43], % 0.70/1.13 multiply(X11,multiply(X10,inverse(commutator(X11,X10)))) = multiply(X10,X11)]. % 0.70/1.13 [87=param(31,85),[79], % 0.70/1.13 commutator(X10,X11) = inverse(commutator(X11,X10))]. % 0.70/1.13 [113=param(60,55),[], % 0.70/1.13 multiply(X10,multiply(X11,inverse(multiply(X11,X10)))) = commutator(X10,X11)]. % 0.70/1.13 [114=param(60,57),[69,3,41], % 0.70/1.13 multiply(X10,inverse(multiply(X11,multiply(X10,inverse(X11))))) = commutator(X10,multiply(X10,X11))]. % 0.70/1.13 [118=param(113,54),[3,113,87], % 0.70/1.13 inverse(commutator(X11,multiply(X10,X11))) = commutator(X10,X11)]. % 0.70/1.13 [119=param(113,62),[3,114], % 0.70/1.13 commutator(X10,multiply(X10,X11)) = commutator(X10,X11)]. % 0.70/1.13 [141=param(43,118),[], % 0.70/1.13 commutator(X11,multiply(X10,X11)) = inverse(commutator(X10,X11))]. % 0.70/1.13 [149=param(141,3),[], % 0.70/1.13 commutator(X10,multiply(X11,multiply(X12,X10))) = inverse(commutator(multiply(X11,X12),X10))]. % 0.70/1.13 [150=param(141,12),[87,149,41,43,119,119], % 0.70/1.13 commutator(inverse(X10),X11) = inverse(commutator(X10,X11))]. % 0.70/1.13 [175=param(87,150),[43], % 0.70/1.13 commutator(X10,X11) = commutator(X11,inverse(X10))]. % 0.70/1.13 [178=param(7,175),[87,43], % 0.70/1.13 thtop(commutator(b,commutator(b,a)),identity) = thmtrue]. % 0.70/1.13 [221=param(75,57),[119,69,3,41,43], % 0.70/1.13 multiply(commutator(X10,X11),multiply(X11,multiply(X10,inverse(X11)))) = X10]. % 0.70/1.13 [222=param(221,63),[119,3,12], % 0.70/1.13 multiply(commutator(X10,X11),multiply(X10,commutator(X11,X10))) = X10]. % 0.70/1.13 [225=param(222,87),[59,150], % 0.70/1.13 multiply(X10,inverse(commutator(X10,commutator(X10,X11)))) = X10]. % 0.70/1.13 [226=param(12,225),[41,39], % 0.70/1.13 inverse(commutator(X10,commutator(X10,X11))) = identity]. % 0.70/1.13 [228=param(43,226),[34], % 0.70/1.13 commutator(X10,commutator(X10,X11)) = identity]. % 0.70/1.13 [239=param(178,228),[6], % 0.70/1.13 thmtrue = thmfalse]. % 0.70/1.13 % SZS output end CNFRefutation % 0.70/1.13 Space: 379 KB %------------------------------------------------------------------------------