%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n025.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 09:13:19 EDT 2022 % Result : Unsatisfiable 1.51s 1.88s % Output : CNFRefutation 1.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n025.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 11:40:09 EDT 2022 % 0.12/0.34 % CPUTime : % 1.51/1.88 Theorem Proved. % 1.51/1.88 % SZS status Unsatisfiable % 1.51/1.88 % SZS output start CNFRefutation % 1.51/1.88 [1=axiom,[], % 1.51/1.88 multiply(multiply(multiply(X10,X11),X10),X12) = multiply(X10,multiply(X11,multiply(X10,X12)))]. % 1.51/1.88 [2=axiom,[], % 1.51/1.88 multiply(left_inverse(X10),X10) = identity]. % 1.51/1.88 [3=axiom,[], % 1.51/1.88 multiply(identity,X10) = X10]. % 1.51/1.88 [4=axiom,[], % 1.51/1.88 thtop(X10,X10) = thmfalse]. % 1.51/1.88 [5=axiom,[], % 1.51/1.88 thtop(multiply(multiply(multiply(a,b),c),b),multiply(a,multiply(b,multiply(c,b)))) = thmtrue]. % 1.51/1.88 [6=param(1,2),[3], % 1.51/1.88 multiply(left_inverse(X10),multiply(X10,multiply(left_inverse(X10),X11))) = multiply(left_inverse(X10),X11)]. % 1.51/1.88 [7=param(1,3),[3,3], % 1.51/1.88 multiply(multiply(X10,identity),X11) = multiply(X10,X11)]. % 1.51/1.88 [8=param(6,2),[2], % 1.51/1.88 multiply(left_inverse(X10),multiply(X10,identity)) = identity]. % 1.51/1.88 [13=param(1,7),[3], % 1.51/1.88 multiply(multiply(X10,X10),X11) = multiply(X10,multiply(X10,X11))]. % 1.51/1.88 [23=param(7,1),[1], % 1.51/1.88 multiply(multiply(X10,multiply(X11,multiply(X10,identity))),X12) = multiply(X10,multiply(X11,multiply(X10,X12)))]. % 1.51/1.88 [24=param(8,1),[], % 1.51/1.88 multiply(left_inverse(multiply(multiply(X10,X11),X10)),multiply(X10,multiply(X11,multiply(X10,identity)))) = identity]. % 1.51/1.88 [27=param(23,8),[7], % 1.51/1.88 multiply(X10,multiply(left_inverse(X10),multiply(X10,X11))) = multiply(X10,X11)]. % 1.51/1.88 [28=param(27,2),[2], % 1.51/1.88 multiply(left_inverse(X10),multiply(left_inverse(left_inverse(X10)),identity)) = identity]. % 1.51/1.88 [30=param(24,8),[], % 1.51/1.88 multiply(left_inverse(multiply(multiply(X10,left_inverse(X10)),X10)),multiply(X10,identity)) = identity]. % 1.51/1.88 [32=param(23,30),[7], % 1.51/1.88 multiply(X10,multiply(left_inverse(multiply(multiply(X10,left_inverse(X10)),X10)),multiply(X10,X11))) = multiply(X10,X11)]. % 1.51/1.88 [34=param(32,2),[2], % 1.51/1.88 multiply(left_inverse(X10),multiply(left_inverse(multiply(multiply(left_inverse(X10),left_inverse(left_inverse(X10))),left_inverse(X10))),identity)) = identity]. % 1.51/1.88 [54=param(1,23),[], % 1.51/1.88 multiply(multiply(X10,multiply(X11,multiply(X10,X10))),X12) = multiply(X10,multiply(multiply(X11,multiply(X10,identity)),multiply(X10,X12)))]. % 1.51/1.88 [55=param(23,13),[13], % 1.51/1.88 multiply(multiply(X10,multiply(X11,multiply(X11,multiply(X10,identity)))),X12) = multiply(X10,multiply(X11,multiply(X11,multiply(X10,X12))))]. % 1.51/1.88 [61=param(55,8),[], % 1.51/1.88 multiply(multiply(X10,multiply(left_inverse(X10),identity)),X11) = multiply(X10,multiply(left_inverse(X10),multiply(left_inverse(X10),multiply(X10,X11))))]. % 1.51/1.88 [68=param(61,28),[3], % 1.51/1.88 multiply(left_inverse(X11),multiply(left_inverse(left_inverse(X11)),multiply(left_inverse(left_inverse(X11)),multiply(left_inverse(X11),X10)))) = X10]. % 1.51/1.88 [70=param(68,2),[], % 1.51/1.88 multiply(left_inverse(X10),multiply(left_inverse(left_inverse(X10)),multiply(left_inverse(left_inverse(X10)),identity))) = X10]. % 1.51/1.88 [71=param(68,6),[], % 1.51/1.88 multiply(left_inverse(X10),multiply(left_inverse(left_inverse(X10)),multiply(left_inverse(left_inverse(X10)),X11))) = multiply(left_inverse(left_inverse(X10)),X11)]. % 1.51/1.88 [72=demod(70),[71], % 1.51/1.88 multiply(left_inverse(left_inverse(X10)),identity) = X10]. % 1.51/1.88 [73=demod(68),[71], % 1.51/1.88 multiply(left_inverse(left_inverse(X10)),multiply(left_inverse(X10),X11)) = X11]. % 1.51/1.88 [78=param(7,72),[], % 1.51/1.88 multiply(left_inverse(left_inverse(X10)),X11) = multiply(X10,X11)]. % 1.51/1.88 [79=demod(73),[78], % 1.51/1.88 multiply(X10,multiply(left_inverse(X10),X11)) = X11]. % 1.51/1.88 [85=demod(61),[79,3,79], % 1.51/1.88 multiply(left_inverse(X11),multiply(X11,X10)) = X10]. % 1.51/1.88 [86=demod(72),[78], % 1.51/1.88 multiply(X10,identity) = X10]. % 1.51/1.88 [90=demod(54),[86], % 1.51/1.88 multiply(multiply(X10,multiply(X11,multiply(X10,X10))),X12) = multiply(X10,multiply(multiply(X11,X10),multiply(X10,X12)))]. % 1.51/1.88 [94=demod(23),[86], % 1.51/1.88 multiply(multiply(X10,multiply(X11,X10)),X12) = multiply(X10,multiply(X11,multiply(X10,X12)))]. % 1.51/1.88 [95=demod(34),[86], % 1.51/1.88 multiply(left_inverse(X10),left_inverse(multiply(multiply(left_inverse(X10),left_inverse(left_inverse(X10))),left_inverse(X10)))) = identity]. % 1.51/1.88 [97=param(86,1),[86], % 1.51/1.88 multiply(multiply(X10,X11),X10) = multiply(X10,multiply(X11,X10))]. % 1.51/1.88 [98=demod(95),[97,2,86], % 1.51/1.88 multiply(left_inverse(X10),left_inverse(left_inverse(X10))) = identity]. % 1.51/1.88 [100=param(85,98),[78,86], % 1.51/1.88 left_inverse(left_inverse(X10)) = X10]. % 1.51/1.88 [102=param(79,86),[], % 1.51/1.88 multiply(X10,left_inverse(X10)) = identity]. % 1.51/1.88 [108=param(97,79),[], % 1.51/1.88 multiply(X11,multiply(multiply(left_inverse(X11),X10),X11)) = multiply(X10,X11)]. % 1.51/1.88 [135=param(79,108),[100], % 1.51/1.88 multiply(multiply(X10,X11),left_inverse(X10)) = multiply(X10,multiply(X11,left_inverse(X10)))]. % 1.51/1.88 [136=param(85,108),[], % 1.51/1.88 multiply(multiply(left_inverse(X10),X11),X10) = multiply(left_inverse(X10),multiply(X11,X10))]. % 1.51/1.88 [149=param(135,94),[102,86], % 1.51/1.88 multiply(X10,multiply(multiply(X11,X10),left_inverse(X10))) = multiply(X10,X11)]. % 1.51/1.88 [157=param(85,149),[85], % 1.51/1.88 multiply(multiply(X10,X11),left_inverse(X11)) = X10]. % 1.51/1.88 [160=param(157,85),[], % 1.51/1.88 multiply(X10,left_inverse(multiply(X11,X10))) = left_inverse(X11)]. % 1.51/1.88 [161=param(85,157),[], % 1.51/1.88 multiply(left_inverse(multiply(X10,X11)),X10) = left_inverse(X11)]. % 1.51/1.88 [179=param(90,161),[13,161], % 1.51/1.88 multiply(multiply(X10,left_inverse(X11)),X12) = multiply(X10,multiply(left_inverse(multiply(X10,X11)),multiply(X10,X12)))]. % 1.51/1.88 [187=param(157,161),[], % 1.51/1.88 multiply(left_inverse(X10),left_inverse(X11)) = left_inverse(multiply(X11,X10))]. % 1.51/1.88 [192=param(79,160),[], % 1.51/1.88 multiply(X10,left_inverse(X11)) = left_inverse(multiply(X11,left_inverse(X10)))]. % 1.51/1.88 [205=param(97,160),[], % 1.51/1.88 multiply(X11,multiply(left_inverse(multiply(X10,X11)),X11)) = multiply(left_inverse(X10),X11)]. % 1.51/1.88 [208=param(160,136),[], % 1.51/1.88 multiply(X10,left_inverse(multiply(left_inverse(X10),multiply(X11,X10)))) = left_inverse(multiply(left_inverse(X10),X11))]. % 1.51/1.88 [211=param(192,94),[], % 1.51/1.88 left_inverse(multiply(X10,left_inverse(multiply(X11,multiply(X12,X11))))) = multiply(X11,multiply(X12,multiply(X11,left_inverse(X10))))]. % 1.51/1.88 [212=param(192,97),[], % 1.51/1.88 multiply(left_inverse(X10),multiply(X11,left_inverse(X10))) = left_inverse(multiply(X10,left_inverse(multiply(left_inverse(X10),X11))))]. % 1.51/1.88 [215=param(192,100),[], % 1.51/1.88 multiply(X10,X11) = left_inverse(multiply(left_inverse(X11),left_inverse(X10)))]. % 1.51/1.88 [227=demod(205),[215,100,208], % 1.51/1.88 left_inverse(multiply(left_inverse(X10),X11)) = multiply(left_inverse(X11),X10)]. % 1.51/1.88 [230=param(192,192),[179], % 1.51/1.88 multiply(X10,multiply(X11,left_inverse(X12))) = left_inverse(multiply(X12,multiply(left_inverse(multiply(X12,X11)),multiply(X12,left_inverse(X10)))))]. % 1.51/1.88 [258=param(5,215),[-227], % 1.51/1.88 thtop(left_inverse(multiply(left_inverse(b),multiply(left_inverse(c),left_inverse(multiply(a,b))))),multiply(a,multiply(b,multiply(c,b)))) = thmtrue]. % 1.51/1.88 [765=param(211,187),[212,100], % 1.51/1.88 multiply(left_inverse(X10),multiply(X11,left_inverse(multiply(X12,X10)))) = left_inverse(multiply(X12,multiply(X10,left_inverse(multiply(left_inverse(X10),X11)))))]. % 1.51/1.88 [820=param(230,211),[-227,85,100], % 1.51/1.88 multiply(X10,left_inverse(multiply(X11,left_inverse(X12)))) = multiply(X10,multiply(X12,left_inverse(X11)))]. % 1.51/1.88 [825=param(820,100),[], % 1.51/1.88 multiply(X10,multiply(X11,X12)) = multiply(X10,left_inverse(multiply(left_inverse(X12),left_inverse(X11))))]. % 1.51/1.88 [852=param(258,825),[765,192,100,100,100,-227,100,100,4], % 1.51/1.88 thmtrue = thmfalse]. % 1.51/1.88 % SZS output end CNFRefutation % 1.51/1.88 Space: 3117 KB %------------------------------------------------------------------------------