%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n032.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 09:14:15 EDT 2022 % Result : Unsatisfiable 0.42s 0.87s % Output : CNFRefutation 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0. % 0.00/0.08 % Command : fiesta-wrapper %s % 0.08/0.27 % Computer : n032.cluster.edu % 0.08/0.27 % Model : x86_64 x86_64 % 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.27 % Memory : 8042.1875MB % 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.27 % CPULimit : 300 % 0.08/0.27 % WCLimit : 600 % 0.08/0.27 % DateTime : Tue Jun 14 10:28:42 EDT 2022 % 0.08/0.27 % CPUTime : % 0.42/0.87 Theorem Proved. % 0.42/0.87 % SZS status Unsatisfiable % 0.42/0.87 % SZS output start CNFRefutation % 0.42/0.87 [1=axiom,[], % 0.42/0.87 double_divide(X10,inverse(X10)) = identity]. % 0.42/0.87 [2=axiom,[], % 0.42/0.87 double_divide(X10,identity) = inverse(X10)]. % 0.42/0.87 [3=axiom,[2], % 0.42/0.87 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.42/0.87 [4=axiom,[2,2,3], % 0.42/0.87 double_divide(X10,multiply(X11,double_divide(identity,double_divide(inverse(X10),double_divide(X11,X12))))) = X12]. % 0.42/0.87 [5=axiom,[], % 0.42/0.87 thtop(X10,X10) = thmfalse]. % 0.42/0.87 [6=axiom,[], % 0.42/0.87 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.42/0.87 [7=param(3,1),[], % 0.42/0.87 multiply(inverse(X10),X10) = inverse(identity)]. % 0.42/0.87 [9=param(3,2),[], % 0.42/0.87 multiply(identity,X10) = inverse(inverse(X10))]. % 0.42/0.87 [10=param(4,1),[2], % 0.42/0.87 double_divide(X10,multiply(X11,double_divide(identity,inverse(inverse(X10))))) = inverse(X11)]. % 0.42/0.87 [11=param(4,2),[], % 0.42/0.87 double_divide(X10,multiply(X11,double_divide(identity,double_divide(inverse(X10),inverse(X11))))) = identity]. % 0.42/0.87 [12=param(3,4),[], % 0.42/0.87 multiply(multiply(X11,double_divide(identity,double_divide(inverse(X12),double_divide(X11,X10)))),X12) = inverse(X10)]. % 0.42/0.87 [13=param(4,9),[3], % 0.42/0.87 double_divide(X10,inverse(multiply(double_divide(inverse(X10),double_divide(identity,X11)),identity))) = X11]. % 0.42/0.87 [15=param(10,3),[], % 0.42/0.87 double_divide(double_divide(X10,X11),multiply(X12,double_divide(identity,inverse(multiply(X11,X10))))) = inverse(X12)]. % 0.42/0.87 [16=param(3,10),[], % 0.42/0.87 multiply(multiply(X10,double_divide(identity,inverse(inverse(X11)))),X11) = inverse(inverse(X10))]. % 0.42/0.87 [17=param(10,7),[3], % 0.42/0.87 double_divide(X10,inverse(identity)) = inverse(multiply(inverse(inverse(X10)),identity))]. % 0.42/0.87 [19=param(11,1),[2], % 0.42/0.87 double_divide(X10,multiply(inverse(X10),inverse(identity))) = identity]. % 0.42/0.87 [21=param(4,11),[2,10], % 0.42/0.87 multiply(X11,double_divide(identity,double_divide(inverse(X10),inverse(X11)))) = inverse(X10)]. % 0.42/0.87 [22=param(17,1),[], % 0.42/0.87 inverse(multiply(inverse(inverse(identity)),identity)) = identity]. % 0.42/0.87 [24=param(10,22),[1], % 0.42/0.87 double_divide(multiply(inverse(inverse(identity)),identity),multiply(X10,identity)) = inverse(X10)]. % 0.42/0.87 [26=param(4,19),[2,10], % 0.42/0.87 multiply(inverse(X10),inverse(identity)) = inverse(X10)]. % 0.42/0.87 [27=param(26,3),[3], % 0.42/0.87 multiply(multiply(X10,X11),inverse(identity)) = multiply(X10,X11)]. % 0.42/0.87 [28=param(26,7),[], % 0.42/0.87 inverse(inverse(identity)) = inverse(identity)]. % 0.42/0.87 [29=demod(24),[28,7], % 0.42/0.87 double_divide(inverse(identity),multiply(X10,identity)) = inverse(X10)]. % 0.42/0.87 [30=demod(22),[28,7,28], % 0.42/0.87 inverse(identity) = identity]. % 0.42/0.87 [31=demod(29),[30], % 0.42/0.87 double_divide(identity,multiply(X10,identity)) = inverse(X10)]. % 0.42/0.87 [32=demod(27),[30], % 0.42/0.87 multiply(multiply(X10,X11),identity) = multiply(X10,X11)]. % 0.42/0.87 [33=demod(26),[30], % 0.42/0.87 multiply(inverse(X10),identity) = inverse(X10)]. % 0.42/0.87 [36=demod(17),[30,2,33], % 0.42/0.87 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.42/0.87 [38=demod(7),[30], % 0.42/0.87 multiply(inverse(X10),X10) = identity]. % 0.42/0.87 [41=param(4,30),[], % 0.42/0.87 double_divide(identity,multiply(X10,double_divide(identity,double_divide(identity,double_divide(X10,X11))))) = X11]. % 0.42/0.87 [42=param(13,30),[], % 0.42/0.87 double_divide(identity,inverse(multiply(double_divide(identity,double_divide(identity,X10)),identity))) = X10]. % 0.42/0.87 [46=param(15,38),[2,3,3,33], % 0.42/0.87 inverse(inverse(multiply(X10,X11))) = multiply(X10,X11)]. % 0.42/0.87 [48=param(13,36),[], % 0.42/0.87 double_divide(inverse(inverse(X10)),inverse(multiply(double_divide(inverse(X10),double_divide(identity,X11)),identity))) = X11]. % 0.42/0.87 [51=param(10,16),[3,33,36], % 0.42/0.87 double_divide(X10,inverse(inverse(X11))) = inverse(multiply(X11,double_divide(identity,inverse(X10))))]. % 0.42/0.87 [53=demod(10),[51,30,2,30], % 0.42/0.87 double_divide(X10,multiply(X11,inverse(multiply(X10,identity)))) = inverse(X11)]. % 0.42/0.87 [54=demod(16),[51,30,2,30], % 0.42/0.87 multiply(multiply(X10,inverse(multiply(X11,identity))),X11) = inverse(inverse(X10))]. % 0.42/0.87 [55=param(3,31),[32], % 0.42/0.87 multiply(X10,identity) = inverse(inverse(X10))]. % 0.42/0.87 [56=demod(53),[55,36], % 0.42/0.87 double_divide(X10,multiply(X11,inverse(X10))) = inverse(X11)]. % 0.42/0.87 [58=demod(54),[55,36], % 0.42/0.87 multiply(multiply(X10,inverse(X11)),X11) = inverse(inverse(X10))]. % 0.42/0.87 [59=demod(48),[55,3,46], % 0.42/0.87 double_divide(inverse(inverse(X10)),multiply(double_divide(identity,X11),inverse(X10))) = X11]. % 0.42/0.87 [60=demod(13),[55,3,46,56,3,55], % 0.42/0.87 inverse(inverse(X10)) = X10]. % 0.42/0.87 [61=demod(59),[60,56,3], % 0.42/0.87 multiply(X10,identity) = X10]. % 0.42/0.87 [62=demod(58),[60], % 0.42/0.87 multiply(multiply(X10,inverse(X11)),X11) = X10]. % 0.42/0.87 [64=demod(51),[60], % 0.42/0.87 double_divide(X10,X11) = inverse(multiply(X11,double_divide(identity,inverse(X10))))]. % 0.42/0.87 [66=demod(12),[64,60,64,30,2,30,61,60], % 0.42/0.87 multiply(multiply(X10,multiply(double_divide(X10,X11),double_divide(identity,X12))),X12) = inverse(X11)]. % 0.42/0.87 [69=demod(41),[64,30,2,30,61,3,64,30,2,30,61,64,30,2,30,61], % 0.42/0.87 inverse(multiply(X10,inverse(multiply(X11,X10)))) = X11]. % 0.42/0.87 [72=demod(21),[64,60,64,30,2,30,61,60], % 0.42/0.87 multiply(X10,multiply(inverse(X10),double_divide(identity,X11))) = inverse(X11)]. % 0.42/0.87 [76=demod(42),[64,30,2,30,61,3,61,61], % 0.42/0.87 double_divide(identity,inverse(X10)) = X10]. % 0.42/0.87 [77=demod(64),[76], % 0.42/0.87 double_divide(X10,X11) = inverse(multiply(X11,X10))]. % 0.42/0.87 [79=demod(66),[77,77,61], % 0.42/0.87 multiply(multiply(X10,multiply(inverse(multiply(X11,X10)),inverse(X12))),X12) = inverse(X11)]. % 0.42/0.87 [80=demod(72),[77,61], % 0.42/0.87 multiply(X10,multiply(inverse(X10),inverse(X11))) = inverse(X11)]. % 0.42/0.87 [82=param(60,69),[], % 0.42/0.87 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 0.42/0.87 [83=param(82,62),[], % 0.42/0.87 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))]. % 0.42/0.87 [86=param(82,79),[60], % 0.42/0.87 multiply(X10,X11) = inverse(multiply(X12,multiply(inverse(multiply(X11,X12)),inverse(X10))))]. % 0.42/0.87 [88=param(80,60),[60], % 0.42/0.87 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.42/0.87 [89=param(88,60),[], % 0.42/0.87 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.42/0.87 [91=param(89,82),[], % 0.42/0.87 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 0.42/0.87 [92=param(83,60),[], % 0.42/0.87 multiply(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))]. % 0.42/0.87 [116=param(92,60),[], % 0.42/0.87 inverse(multiply(inverse(X10),X11)) = multiply(inverse(X11),X10)]. % 0.42/0.87 [133=param(116,86),[60,60], % 0.42/0.87 multiply(X10,multiply(inverse(multiply(X11,X10)),X12)) = multiply(inverse(X11),X12)]. % 0.42/0.87 [157=param(89,133),[], % 0.42/0.87 multiply(inverse(multiply(X11,X10)),X12) = multiply(inverse(X10),multiply(inverse(X11),X12))]. % 0.42/0.87 [169=param(157,91),[60,60,60], % 0.42/0.87 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.42/0.87 [170=param(6,169),[5], % 0.42/0.87 thmtrue = thmfalse]. % 0.42/0.87 % SZS output end CNFRefutation % 0.42/0.87 Space: 124 KB %------------------------------------------------------------------------------