%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP495-1 : 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 0.73s 1.09s % Output : CNFRefutation 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0. % 0.12/0.13 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 13:45:53 EDT 2022 % 0.12/0.34 % CPUTime : % 0.73/1.09 Theorem Proved. % 0.73/1.09 % SZS status Unsatisfiable % 0.73/1.09 % SZS output start CNFRefutation % 0.73/1.09 [1=axiom,[], % 0.73/1.09 double_divide(X10,inverse(X10)) = identity]. % 0.73/1.09 [2=axiom,[], % 0.73/1.09 double_divide(X10,identity) = inverse(X10)]. % 0.73/1.09 [3=axiom,[2], % 0.73/1.09 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.73/1.09 [4=axiom,[2], % 0.73/1.09 double_divide(double_divide(identity,X10),double_divide(double_divide(double_divide(X11,X12),inverse(identity)),double_divide(X10,X12))) = X11]. % 0.73/1.09 [5=axiom,[], % 0.73/1.09 thtop(X10,X10) = thmfalse]. % 0.73/1.09 [6=axiom,[], % 0.73/1.09 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.73/1.09 [8=param(1,3),[], % 0.73/1.09 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.73/1.09 [9=param(3,2),[], % 0.73/1.09 multiply(identity,X10) = inverse(inverse(X10))]. % 0.73/1.09 [10=param(4,1),[], % 0.73/1.09 double_divide(identity,double_divide(double_divide(double_divide(X10,X11),inverse(identity)),double_divide(inverse(identity),X11))) = X10]. % 0.73/1.09 [11=param(4,1),[1], % 0.73/1.09 double_divide(double_divide(identity,X10),double_divide(identity,double_divide(X10,inverse(X11)))) = X11]. % 0.73/1.09 [14=param(4,2),[2], % 0.73/1.09 double_divide(double_divide(identity,X10),double_divide(double_divide(inverse(X11),inverse(identity)),inverse(X10))) = X11]. % 0.73/1.09 [17=param(11,1),[], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(X10)))) = X10]. % 0.73/1.09 [18=param(11,1),[2], % 0.73/1.09 double_divide(double_divide(identity,X10),inverse(identity)) = X10]. % 0.73/1.09 [19=param(11,2),[], % 0.73/1.09 double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X10)))) = X10]. % 0.73/1.09 [21=param(10,1),[2,3], % 0.73/1.09 double_divide(identity,multiply(inverse(identity),double_divide(X10,inverse(inverse(identity))))) = X10]. % 0.73/1.09 [22=param(10,2),[2], % 0.73/1.09 double_divide(identity,double_divide(double_divide(inverse(X10),inverse(identity)),inverse(inverse(identity)))) = X10]. % 0.73/1.09 [23=param(10,8),[1], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(X10,X11)))) = double_divide(X11,X10)]. % 0.73/1.09 [25=demod(4),[-23,-23,-23], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(double_divide(X10,X11),double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(inverse(identity),double_divide(X12,X11))))))))),double_divide(identity,X10))))) = X12]. % 0.73/1.09 [27=demod(10),[-23,-23], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(double_divide(inverse(identity),X10),double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(inverse(identity),double_divide(X11,X10)))))))))) = X11]. % 0.73/1.09 [28=demod(18),[-23], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(inverse(identity),double_divide(identity,X10))))) = X10]. % 0.73/1.09 [29=demod(14),[-23,-23], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(inverse(X10),double_divide(inverse(X11),inverse(identity)))))),double_divide(identity,X10))))) = X11]. % 0.73/1.09 [30=demod(22),[-23], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(inverse(identity),multiply(inverse(inverse(identity)),double_divide(inverse(X10),inverse(identity))))))) = X10]. % 0.73/1.09 [33=param(3,19),[], % 0.73/1.09 multiply(double_divide(identity,double_divide(identity,inverse(X10))),inverse(identity)) = inverse(X10)]. % 0.73/1.09 [35=param(17,1),[2,1], % 0.73/1.09 inverse(identity) = identity]. % 0.73/1.09 [36=demod(33),[35], % 0.73/1.09 multiply(double_divide(identity,double_divide(identity,inverse(X10))),identity) = inverse(X10)]. % 0.73/1.09 [38=demod(30),[35,35,35,35,2,9], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,inverse(inverse(inverse(inverse(X10)))))))) = X10]. % 0.73/1.09 [39=demod(29),[35,35,35,2], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,multiply(inverse(X10),inverse(inverse(X11)))))),double_divide(identity,X10))))) = X11]. % 0.73/1.09 [40=demod(28),[35,35,9,3], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(X10,identity))))) = X10]. % 0.73/1.09 [41=demod(27),[35,35,35,35,9,3], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,multiply(double_divide(identity,X10),double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(X10,X11)))))))))) = X11]. % 0.73/1.09 [42=demod(25),[35,35,35,35,9,3], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,multiply(double_divide(X10,X11),double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(X11,X12))))))))),double_divide(identity,X10))))) = X12]. % 0.73/1.09 [44=demod(23),[35], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,multiply(X10,X11)))) = double_divide(X11,X10)]. % 0.73/1.09 [45=demod(21),[35,35,35,2,9], % 0.73/1.09 double_divide(identity,inverse(inverse(inverse(X10)))) = X10]. % 0.73/1.09 [46=demod(38),[45], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,inverse(X10)))) = X10]. % 0.73/1.09 [47=demod(40),[46], % 0.73/1.09 multiply(X10,identity) = X10]. % 0.73/1.09 [48=demod(36),[47], % 0.73/1.09 double_divide(identity,double_divide(identity,inverse(X10))) = inverse(X10)]. % 0.73/1.09 [49=demod(46),[48], % 0.73/1.09 double_divide(identity,inverse(X10)) = X10]. % 0.73/1.09 [50=demod(45),[49], % 0.73/1.09 inverse(inverse(X10)) = X10]. % 0.73/1.09 [52=demod(39),[50], % 0.73/1.09 double_divide(identity,double_divide(identity,double_divide(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,multiply(inverse(X10),X11)))),double_divide(identity,X10))))) = X11]. % 0.73/1.09 [53=demod(48),[49], % 0.73/1.09 double_divide(identity,X10) = inverse(X10)]. % 0.73/1.09 [55=demod(44),[53,53,50,53], % 0.73/1.09 double_divide(X11,X10) = inverse(multiply(X10,X11))]. % 0.73/1.09 [57=demod(52),[55,47,55,47,50,55,47,55,47,55,47,55,47,50,55,47], % 0.73/1.09 inverse(multiply(inverse(multiply(inverse(X10),X11)),inverse(X10))) = X11]. % 0.73/1.09 [59=demod(41),[55,47,55,47,50,55,47,55,47,50,55,47,55,47,50,55,47,55,47,50], % 0.73/1.09 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.73/1.09 [60=demod(42),[55,55,47,50,55,47,55,47,50,55,47,55,47,50,55,47,55,47,55,47,55,47,50,55,47], % 0.73/1.09 inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))),inverse(X11))) = X12]. % 0.73/1.09 [64=param(57,50),[50], % 0.73/1.09 inverse(multiply(inverse(multiply(X10,X11)),X10)) = X11]. % 0.73/1.09 [69=param(50,64),[], % 0.73/1.09 multiply(inverse(multiply(X11,X10)),X11) = inverse(X10)]. % 0.73/1.09 [70=param(69,59),[], % 0.73/1.09 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 0.73/1.09 [71=demod(60),[70,50], % 0.73/1.09 multiply(X10,multiply(inverse(multiply(X11,X10)),multiply(X11,X12))) = X12]. % 0.73/1.09 [79=param(70,70),[], % 0.73/1.09 multiply(inverse(X10),multiply(inverse(X11),inverse(X12))) = inverse(multiply(multiply(X12,X11),X10))]. % 0.73/1.09 [106=param(59,71),[], % 0.73/1.09 multiply(inverse(multiply(X12,X10)),multiply(X12,X11)) = multiply(inverse(X10),X11)]. % 0.73/1.09 [113=param(70,79),[50,50], % 0.73/1.09 multiply(multiply(X10,X11),X12) = multiply(inverse(multiply(inverse(X11),inverse(X10))),X12)]. % 0.73/1.09 [115=param(106,59),[], % 0.73/1.09 multiply(inverse(multiply(X11,X10)),X12) = multiply(inverse(X10),multiply(inverse(X11),X12))]. % 0.73/1.09 [116=demod(113),[115,50,50], % 0.73/1.09 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.73/1.09 [125=param(6,116),[5], % 0.73/1.09 thmtrue = thmfalse]. % 0.73/1.09 % SZS output end CNFRefutation % 0.73/1.09 Space: 98 KB %------------------------------------------------------------------------------