%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP498-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n009.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 09:14:17 EDT 2022 % Result : Unsatisfiable 0.69s 1.11s % Output : CNFRefutation 0.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP498-1 : TPTP v8.1.0. Released v2.6.0. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n009.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 : Mon Jun 13 15:04:53 EDT 2022 % 0.12/0.34 % CPUTime : % 0.69/1.11 Theorem Proved. % 0.69/1.11 % SZS status Unsatisfiable % 0.69/1.11 % SZS output start CNFRefutation % 0.69/1.11 [1=axiom,[], % 0.69/1.11 double_divide(X10,inverse(X10)) = identity]. % 0.69/1.11 [2=axiom,[], % 0.69/1.11 double_divide(X10,identity) = inverse(X10)]. % 0.69/1.11 [3=axiom,[2], % 0.69/1.11 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.69/1.11 [4=axiom,[2,2,3], % 0.69/1.11 double_divide(double_divide(identity,double_divide(X10,inverse(X11))),multiply(double_divide(X12,X10),X11)) = X12]. % 0.69/1.11 [5=axiom,[], % 0.69/1.11 thtop(X10,X10) = thmfalse]. % 0.69/1.11 [6=axiom,[], % 0.69/1.11 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.69/1.11 [8=param(1,3),[], % 0.69/1.11 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.69/1.11 [9=param(3,2),[], % 0.69/1.11 multiply(identity,X10) = inverse(inverse(X10))]. % 0.69/1.11 [10=param(4,1),[2], % 0.69/1.11 double_divide(inverse(identity),multiply(double_divide(X10,X11),X11)) = X10]. % 0.69/1.11 [11=param(4,1),[9], % 0.69/1.11 double_divide(double_divide(identity,double_divide(inverse(X10),inverse(X11))),inverse(inverse(X11))) = X10]. % 0.69/1.11 [12=param(4,2),[], % 0.69/1.11 double_divide(double_divide(identity,double_divide(identity,inverse(X10))),multiply(inverse(X11),X10)) = X11]. % 0.69/1.11 [13=param(3,4),[], % 0.69/1.11 multiply(multiply(double_divide(X10,X11),X12),double_divide(identity,double_divide(X11,inverse(X12)))) = inverse(X10)]. % 0.69/1.11 [15=param(8,4),[], % 0.69/1.11 inverse(identity) = identity]. % 0.69/1.11 [17=demod(10),[15], % 0.69/1.11 double_divide(identity,multiply(double_divide(X10,X11),X11)) = X10]. % 0.69/1.11 [19=param(4,15),[2], % 0.69/1.11 double_divide(double_divide(identity,inverse(X10)),multiply(double_divide(X11,X10),identity)) = X11]. % 0.69/1.11 [20=param(11,1),[2,15], % 0.69/1.11 double_divide(identity,inverse(inverse(inverse(X10)))) = X10]. % 0.69/1.11 [22=param(3,11),[], % 0.69/1.11 multiply(inverse(inverse(X11)),double_divide(identity,double_divide(inverse(X10),inverse(X11)))) = inverse(X10)]. % 0.69/1.11 [23=param(11,15),[2,15,15,2,3], % 0.69/1.11 multiply(inverse(inverse(X10)),identity) = X10]. % 0.69/1.11 [25=param(4,20),[2], % 0.69/1.11 double_divide(double_divide(identity,X10),multiply(inverse(X11),inverse(inverse(X10)))) = X11]. % 0.69/1.11 [31=param(12,23),[15,2,15,2,15], % 0.69/1.11 double_divide(identity,X10) = inverse(X10)]. % 0.69/1.11 [32=demod(25),[31], % 0.69/1.11 double_divide(inverse(X10),multiply(inverse(X11),inverse(inverse(X10)))) = X11]. % 0.69/1.11 [33=demod(17),[31], % 0.69/1.11 inverse(multiply(double_divide(X10,X11),X11)) = X10]. % 0.69/1.11 [36=demod(22),[31,3], % 0.69/1.11 multiply(inverse(inverse(X10)),multiply(inverse(X10),inverse(X11))) = inverse(X11)]. % 0.69/1.11 [39=demod(13),[31,3], % 0.69/1.11 multiply(multiply(double_divide(X10,X11),X12),multiply(inverse(X12),X11)) = inverse(X10)]. % 0.69/1.11 [41=demod(20),[31], % 0.69/1.11 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.69/1.11 [45=demod(19),[31], % 0.69/1.11 double_divide(inverse(inverse(X10)),multiply(double_divide(X11,X10),identity)) = X11]. % 0.69/1.11 [47=param(3,31),[], % 0.69/1.11 multiply(X10,identity) = inverse(inverse(X10))]. % 0.69/1.11 [48=demod(45),[47,3], % 0.69/1.11 double_divide(inverse(inverse(X10)),inverse(multiply(X10,X11))) = X11]. % 0.69/1.11 [53=param(32,15),[9,41], % 0.69/1.11 double_divide(inverse(X10),X10) = identity]. % 0.69/1.11 [56=param(3,53),[15], % 0.69/1.11 multiply(X10,inverse(X10)) = identity]. % 0.69/1.11 [59=param(33,8),[9], % 0.69/1.11 double_divide(X11,X10) = inverse(inverse(inverse(multiply(X10,X11))))]. % 0.69/1.11 [61=demod(39),[59], % 0.69/1.11 multiply(multiply(inverse(inverse(inverse(multiply(X10,X11)))),X12),multiply(inverse(X12),X10)) = inverse(X11)]. % 0.69/1.11 [62=demod(33),[59], % 0.69/1.11 inverse(multiply(inverse(inverse(inverse(multiply(X10,X11)))),X10)) = X11]. % 0.69/1.11 [68=demod(48),[59], % 0.69/1.11 inverse(inverse(inverse(multiply(inverse(multiply(X10,X11)),inverse(inverse(X10)))))) = X11]. % 0.69/1.11 [69=param(62,36),[41], % 0.69/1.11 inverse(multiply(X10,inverse(inverse(X11)))) = multiply(inverse(X11),inverse(X10))]. % 0.69/1.11 [70=demod(68),[-69,41], % 0.69/1.11 multiply(inverse(X10),inverse(inverse(multiply(X10,X11)))) = X11]. % 0.69/1.11 [71=param(62,56),[15,15,15,9], % 0.69/1.11 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.69/1.11 [73=demod(41),[71], % 0.69/1.11 inverse(inverse(X10)) = X10]. % 0.69/1.11 [77=demod(69),[73], % 0.69/1.11 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))]. % 0.69/1.11 [78=demod(70),[73], % 0.69/1.11 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.69/1.11 [79=demod(61),[73], % 0.69/1.11 multiply(multiply(inverse(multiply(X10,X11)),X12),multiply(inverse(X12),X10)) = inverse(X11)]. % 0.69/1.11 [88=param(73,77),[], % 0.69/1.11 inverse(multiply(inverse(X10),inverse(X11))) = multiply(X11,X10)]. % 0.69/1.11 [96=param(77,79),[73], % 0.69/1.11 multiply(inverse(multiply(inverse(X11),X12)),inverse(multiply(inverse(multiply(X12,X10)),X11))) = X10]. % 0.69/1.11 [136=param(96,88),[73], % 0.69/1.11 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X11,X12))) = X12]. % 0.69/1.11 [142=param(78,136),[73], % 0.69/1.11 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.69/1.11 [154=param(6,142),[5], % 0.69/1.11 thmtrue = thmfalse]. % 0.69/1.11 % SZS output end CNFRefutation % 0.69/1.11 Space: 155 KB 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