%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP002-4 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n015.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 09:12:06 EDT 2022 % Result : Unsatisfiable 0.70s 1.16s % Output : CNFRefutation 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP002-4 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n015.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 : Mon Jun 13 16:36:38 EDT 2022 % 0.13/0.34 % CPUTime : % 0.70/1.16 Theorem Proved. % 0.70/1.16 % SZS status Unsatisfiable % 0.70/1.16 % SZS output start CNFRefutation % 0.70/1.16 [1=axiom,[], % 0.70/1.16 multiply(X10,multiply(X10,X10)) = identity]. % 0.70/1.16 [2=axiom,[], % 0.70/1.16 multiply(X10,multiply(X11,multiply(inverse(X10),inverse(X11)))) = commutator(X10,X11)]. % 0.70/1.16 [3=axiom,[], % 0.70/1.16 multiply(X10,inverse(X10)) = identity]. % 0.70/1.16 [4=axiom,[], % 0.70/1.16 multiply(X10,identity) = X10]. % 0.70/1.16 [5=axiom,[], % 0.70/1.16 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.70/1.16 [6=axiom,[], % 0.70/1.16 multiply(inverse(X10),X10) = identity]. % 0.70/1.16 [7=axiom,[], % 0.70/1.16 multiply(identity,X10) = X10]. % 0.70/1.16 [8=axiom,[], % 0.70/1.16 thtop(X10,X10) = thmfalse]. % 0.70/1.16 [9=axiom,[], % 0.70/1.16 thtop(commutator(commutator(a,b),b),identity) = thmtrue]. % 0.70/1.16 [10=param(6,4),[], % 0.70/1.16 inverse(identity) = identity]. % 0.70/1.16 [15=param(5,1),[5], % 0.70/1.16 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11))))) = identity]. % 0.70/1.16 [16=param(5,1),[7,5], % 0.70/1.16 multiply(X11,multiply(X11,multiply(X11,X10))) = X10]. % 0.70/1.16 [19=param(5,6),[7], % 0.70/1.16 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.70/1.16 [20=param(5,15),[7,5,5,5,5], % 0.70/1.16 multiply(X11,multiply(X12,multiply(X11,multiply(X12,multiply(X11,multiply(X12,X10)))))) = X10]. % 0.70/1.16 [21=param(19,1),[4], % 0.70/1.16 multiply(X10,X10) = inverse(X10)]. % 0.70/1.16 [25=param(19,6),[4], % 0.70/1.16 inverse(inverse(X10)) = X10]. % 0.70/1.16 [27=param(19,15),[4], % 0.70/1.16 multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11)))) = inverse(X10)]. % 0.70/1.16 [28=param(16,2),[], % 0.70/1.16 multiply(X11,multiply(inverse(X10),inverse(X11))) = multiply(X10,multiply(X10,commutator(X10,X11)))]. % 0.70/1.16 [31=param(19,16),[], % 0.70/1.16 multiply(inverse(X10),X11) = multiply(X10,multiply(X10,X11))]. % 0.70/1.16 [32=demod(28),[31], % 0.70/1.16 multiply(X10,multiply(X11,multiply(X11,inverse(X10)))) = multiply(X11,multiply(X11,commutator(X11,X10)))]. % 0.70/1.16 [33=param(21,5),[], % 0.70/1.16 multiply(X10,multiply(X11,multiply(X10,X11))) = inverse(multiply(X10,X11))]. % 0.70/1.16 [34=demod(27),[33], % 0.70/1.16 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.70/1.16 [37=param(34,5),[], % 0.70/1.16 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 0.70/1.16 [38=param(16,34),[], % 0.70/1.16 multiply(X10,multiply(X10,inverse(X11))) = inverse(multiply(X11,X10))]. % 0.70/1.16 [42=param(16,32),[], % 0.70/1.16 multiply(X10,multiply(X11,multiply(X10,multiply(X10,inverse(X11))))) = commutator(X10,X11)]. % 0.70/1.16 [45=param(38,31),[31,16], % 0.70/1.16 inverse(multiply(X10,inverse(X11))) = multiply(X11,inverse(X10))]. % 0.70/1.16 [47=param(25,38),[], % 0.70/1.16 inverse(multiply(X10,multiply(X10,inverse(X11)))) = multiply(X11,X10)]. % 0.70/1.16 [51=param(38,45),[], % 0.70/1.16 multiply(X10,inverse(multiply(X11,inverse(X10)))) = inverse(multiply(X11,X10))]. % 0.70/1.16 [56=param(38,37),[5,5,21], % 0.70/1.16 multiply(X10,inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,inverse(X10))))]. % 0.70/1.16 [57=param(47,38),[5,31,5,31,42], % 0.70/1.16 multiply(X11,multiply(X10,commutator(X10,X11))) = multiply(X10,X11)]. % 0.70/1.16 [61=param(5,57),[5,5], % 0.70/1.16 multiply(X11,multiply(X10,multiply(commutator(X10,X11),X12))) = multiply(X10,multiply(X11,X12))]. % 0.70/1.16 [63=param(20,57),[], % 0.70/1.16 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X11,X10))))) = commutator(X11,X10)]. % 0.70/1.16 [66=param(37,57),[56], % 0.70/1.16 inverse(multiply(X10,multiply(X11,inverse(commutator(X10,X11))))) = inverse(multiply(X11,X10))]. % 0.70/1.16 [75=param(25,66),[25], % 0.70/1.16 multiply(X11,multiply(X10,inverse(commutator(X11,X10)))) = multiply(X10,X11)]. % 0.70/1.16 [77=param(20,75),[63], % 0.70/1.16 commutator(X10,X11) = inverse(commutator(X11,X10))]. % 0.70/1.16 [80=param(42,38),[], % 0.70/1.16 multiply(X10,multiply(X11,inverse(multiply(X11,X10)))) = commutator(X10,X11)]. % 0.70/1.16 [81=param(42,51),[34,5,31,42], % 0.70/1.16 commutator(X10,multiply(X11,inverse(X10))) = commutator(X10,X11)]. % 0.70/1.16 [85=param(9,77),[77], % 0.70/1.16 thtop(inverse(commutator(b,inverse(commutator(b,a)))),identity) = thmtrue]. % 0.70/1.16 [96=param(75,81),[5,31,5,-47,25,21,3,10,4], % 0.70/1.16 multiply(X10,multiply(X11,multiply(X10,multiply(X10,inverse(commutator(X10,X11)))))) = X11]. % 0.70/1.16 [166=param(61,42),[96], % 0.70/1.16 multiply(X10,commutator(X11,commutator(X11,X10))) = X10]. % 0.70/1.16 [170=param(16,166),[21,3], % 0.70/1.16 commutator(X10,commutator(X10,X11)) = identity]. % 0.70/1.16 [175=param(170,77),[], % 0.70/1.16 commutator(X10,inverse(commutator(X11,X10))) = identity]. % 0.70/1.16 [200=param(63,31),[31,31,16,33,80], % 0.70/1.16 commutator(X10,X11) = commutator(inverse(X11),X10)]. % 0.70/1.16 [209=param(200,77),[], % 0.70/1.16 commutator(inverse(X10),X11) = inverse(commutator(X10,X11))]. % 0.70/1.16 [247=param(175,209),[25], % 0.70/1.16 commutator(X10,commutator(X11,X10)) = identity]. % 0.70/1.16 [250=param(247,77),[], % 0.70/1.16 commutator(X10,inverse(commutator(X10,X11))) = identity]. % 0.70/1.16 [255=param(85,250),[10,8], % 0.70/1.16 thmtrue = thmfalse]. % 0.70/1.16 % SZS output end CNFRefutation % 0.70/1.16 Space: 444 KB %------------------------------------------------------------------------------