%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n021.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 09:14:35 EDT 2022 % Result : Unsatisfiable 0.48s 1.14s % Output : CNFRefutation 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.13 % Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0. % 0.09/0.14 % Command : fiesta-wrapper %s % 0.14/0.35 % Computer : n021.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jun 13 17:12:42 EDT 2022 % 0.14/0.35 % CPUTime : % 0.48/1.14 Theorem Proved. % 0.48/1.14 % SZS status Unsatisfiable % 0.48/1.14 % SZS output start CNFRefutation % 0.48/1.14 [1=axiom,[], % 0.48/1.14 double_divide(X10,inverse(X10)) = identity]. % 0.48/1.14 [2=axiom,[], % 0.48/1.14 double_divide(X10,identity) = inverse(X10)]. % 0.48/1.14 [3=axiom,[2], % 0.48/1.14 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.48/1.14 [4=axiom,[2], % 0.48/1.14 double_divide(double_divide(X10,double_divide(double_divide(X11,double_divide(X10,X12)),double_divide(identity,X12))),inverse(identity)) = X11]. % 0.48/1.14 [5=axiom,[], % 0.48/1.14 thtop(X10,X10) = thmfalse]. % 0.48/1.14 [6=axiom,[], % 0.48/1.14 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.48/1.14 [9=param(3,2),[], % 0.48/1.14 multiply(identity,X10) = inverse(inverse(X10))]. % 0.48/1.14 [11=param(4,1),[2,3], % 0.48/1.14 double_divide(double_divide(X10,multiply(double_divide(X10,inverse(identity)),X11)),inverse(identity)) = X11]. % 0.48/1.14 [12=param(4,2),[2], % 0.48/1.14 double_divide(double_divide(X10,double_divide(double_divide(X11,inverse(X10)),inverse(identity))),inverse(identity)) = X11]. % 0.48/1.14 [14=param(11,1),[9], % 0.48/1.14 double_divide(double_divide(identity,inverse(inverse(X10))),inverse(identity)) = X10]. % 0.48/1.14 [20=param(12,1),[1,2], % 0.48/1.14 double_divide(inverse(X10),inverse(identity)) = X10]. % 0.48/1.14 [22=param(12,14),[], % 0.48/1.14 double_divide(double_divide(inverse(X10),X10),inverse(identity)) = identity]. % 0.48/1.14 [23=param(12,14),[], % 0.48/1.14 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X10)))]. % 0.48/1.14 [24=param(20,3),[], % 0.48/1.14 double_divide(multiply(X10,X11),inverse(identity)) = double_divide(X11,X10)]. % 0.48/1.14 [25=param(3,20),[], % 0.48/1.14 multiply(inverse(identity),inverse(X10)) = inverse(X10)]. % 0.48/1.14 [26=param(4,20),[1,2,3], % 0.48/1.14 double_divide(double_divide(inverse(X10),multiply(X10,X11)),inverse(identity)) = X11]. % 0.48/1.14 [27=param(12,20),[23], % 0.48/1.14 double_divide(identity,inverse(inverse(X10))) = inverse(X10)]. % 0.48/1.14 [28=demod(23),[27], % 0.48/1.14 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = inverse(X10)]. % 0.48/1.14 [31=param(4,27),[27], % 0.48/1.14 double_divide(double_divide(identity,double_divide(double_divide(X10,inverse(X11)),inverse(X11))),inverse(identity)) = X10]. % 0.48/1.14 [37=param(4,24),[1,2,3], % 0.48/1.14 double_divide(double_divide(multiply(X10,X11),multiply(double_divide(X11,X10),X12)),inverse(identity)) = X12]. % 0.48/1.14 [38=param(22,2),[20], % 0.48/1.14 inverse(identity) = identity]. % 0.48/1.14 [39=demod(37),[38,2,3], % 0.48/1.14 multiply(multiply(double_divide(X10,X11),X12),multiply(X11,X10)) = X12]. % 0.48/1.14 [44=demod(31),[38,2,3], % 0.48/1.14 multiply(double_divide(double_divide(X10,inverse(X11)),inverse(X11)),identity) = X10]. % 0.48/1.14 [45=demod(28),[38,2,38,2,3], % 0.48/1.14 multiply(inverse(X10),identity) = inverse(X10)]. % 0.48/1.14 [46=demod(26),[38,2,3], % 0.48/1.14 multiply(multiply(X10,X11),inverse(X10)) = X11]. % 0.48/1.14 [47=demod(25),[38,9], % 0.48/1.14 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.48/1.14 [48=demod(24),[38,2], % 0.48/1.14 double_divide(X11,X10) = inverse(multiply(X10,X11))]. % 0.48/1.14 [51=demod(39),[48], % 0.48/1.14 multiply(multiply(inverse(multiply(X10,X11)),X12),multiply(X10,X11)) = X12]. % 0.48/1.14 [55=demod(44),[48,48,45], % 0.48/1.14 inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),X11)))) = X11]. % 0.48/1.14 [58=demod(20),[38,48,9,47], % 0.48/1.14 inverse(inverse(X10)) = X10]. % 0.48/1.14 [59=demod(9),[58], % 0.48/1.14 multiply(identity,X10) = X10]. % 0.48/1.14 [62=demod(4),[48,48,48,48,48,38,48,59,58], % 0.48/1.14 multiply(inverse(multiply(inverse(multiply(X10,identity)),inverse(multiply(inverse(multiply(X10,X11)),X12)))),X11) = X12]. % 0.48/1.14 [63=param(45,58),[58], % 0.48/1.14 multiply(X10,identity) = X10]. % 0.48/1.14 [64=demod(62),[63], % 0.48/1.14 multiply(inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(X10,X11)),X12)))),X11) = X12]. % 0.48/1.14 [65=param(46,46),[], % 0.48/1.14 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.48/1.14 [66=param(46,65),[], % 0.48/1.14 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X10,X11))]. % 0.48/1.14 [67=demod(55),[66,58], % 0.48/1.14 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.48/1.14 [68=demod(64),[66,58], % 0.48/1.14 multiply(multiply(X10,multiply(inverse(multiply(X10,X11)),X12)),X11) = X12]. % 0.48/1.14 [72=param(51,67),[58], % 0.48/1.14 multiply(X10,multiply(X11,X12)) = multiply(multiply(X11,X12),X10)]. % 0.48/1.14 [73=demod(68),[-72], % 0.48/1.14 multiply(X10,multiply(X11,multiply(inverse(multiply(X11,X10)),X12))) = X12]. % 0.48/1.14 [76=param(66,58),[], % 0.48/1.14 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.48/1.14 [77=demod(67),[76], % 0.48/1.14 multiply(X10,inverse(multiply(X10,inverse(X11)))) = X11]. % 0.48/1.14 [78=demod(73),[76], % 0.48/1.14 multiply(X10,multiply(X11,inverse(multiply(multiply(X11,X10),inverse(X12))))) = X12]. % 0.48/1.14 [80=param(77,58),[], % 0.48/1.14 multiply(X10,inverse(multiply(X10,X11))) = inverse(X11)]. % 0.48/1.14 [81=param(6,72),[-72,-72], % 0.48/1.14 thtop(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.48/1.14 [82=param(72,59),[59], % 0.48/1.14 multiply(X10,X11) = multiply(X11,X10)]. % 0.48/1.14 [86=param(72,82),[], % 0.48/1.14 multiply(X10,multiply(X11,X12)) = multiply(multiply(X12,X11),X10)]. % 0.48/1.14 [97=param(78,58),[], % 0.48/1.14 multiply(X10,multiply(X11,inverse(multiply(multiply(X11,X10),X12)))) = inverse(X12)]. % 0.48/1.14 [101=param(86,72),[], % 0.48/1.14 multiply(multiply(X10,X11),X12) = multiply(multiply(X11,X10),X12)]. % 0.48/1.14 [140=param(97,80),[58,58], % 0.48/1.14 multiply(multiply(X11,X10),X12) = multiply(X10,multiply(X11,X12))]. % 0.48/1.14 [163=demod(101),[140,140], % 0.48/1.14 multiply(X10,multiply(X11,X12)) = multiply(X11,multiply(X10,X12))]. % 0.48/1.14 [184=param(81,163),[82,5], % 0.48/1.14 thmtrue = thmfalse]. % 0.48/1.14 % SZS output end CNFRefutation % 0.48/1.14 Space: 183 KB %------------------------------------------------------------------------------