%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP551-1 : 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 09:14:31 EDT 2022 % Result : Unsatisfiable 0.56s 0.99s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0. % 0.00/0.11 % Command : fiesta-wrapper %s % 0.12/0.31 % Computer : n032.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 600 % 0.12/0.31 % DateTime : Mon Jun 13 19:14:12 EDT 2022 % 0.12/0.31 % CPUTime : % 0.56/0.99 Theorem Proved. % 0.56/0.99 % SZS status Unsatisfiable % 0.56/0.99 % SZS output start CNFRefutation % 0.56/0.99 [1=axiom,[], % 0.56/0.99 divide(X10,X10) = identity]. % 0.56/0.99 [2=axiom,[], % 0.56/0.99 divide(identity,X10) = inverse(X10)]. % 0.56/0.99 [3=axiom,[2], % 0.56/0.99 divide(X10,inverse(X11)) = multiply(X10,X11)]. % 0.56/0.99 [4=axiom,[2], % 0.56/0.99 divide(inverse(X10),divide(divide(divide(X11,X10),X12),X11)) = X12]. % 0.56/0.99 [5=axiom,[], % 0.56/0.99 thtop(X10,X10) = thmfalse]. % 0.56/0.99 [6=axiom,[], % 0.56/0.99 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.56/0.99 [7=param(2,1),[], % 0.56/0.99 inverse(identity) = identity]. % 0.56/0.99 [9=param(3,2),[], % 0.56/0.99 multiply(identity,X10) = inverse(inverse(X10))]. % 0.56/0.99 [10=param(3,7),[], % 0.56/0.99 divide(X10,identity) = multiply(X10,identity)]. % 0.56/0.99 [11=param(4,1),[2,3], % 0.56/0.99 divide(X11,X10) = multiply(inverse(X10),X11)]. % 0.56/0.99 [12=demod(2),[11], % 0.56/0.99 multiply(inverse(X10),identity) = inverse(X10)]. % 0.56/0.99 [13=demod(3),[11], % 0.56/0.99 multiply(inverse(inverse(X10)),X11) = multiply(X11,X10)]. % 0.56/0.99 [14=demod(10),[11,7,9], % 0.56/0.99 multiply(X10,identity) = inverse(inverse(X10))]. % 0.56/0.99 [15=demod(12),[14], % 0.56/0.99 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.56/0.99 [16=demod(4),[11,11,11,11,-13,15], % 0.56/0.99 multiply(inverse(X10),inverse(multiply(inverse(X11),multiply(inverse(X12),multiply(inverse(X10),X11))))) = X12]. % 0.56/0.99 [17=param(13,15),[], % 0.56/0.99 multiply(inverse(X10),X11) = multiply(X11,inverse(X10))]. % 0.56/0.99 [22=param(17,13),[], % 0.56/0.99 multiply(X10,inverse(inverse(X11))) = multiply(X10,X11)]. % 0.56/0.99 [23=param(17,13),[], % 0.56/0.99 multiply(inverse(inverse(X10)),inverse(X11)) = multiply(X10,inverse(X11))]. % 0.56/0.99 [25=param(22,13),[], % 0.56/0.99 multiply(inverse(inverse(X10)),X11) = multiply(inverse(inverse(X11)),X10)]. % 0.56/0.99 [26=param(23,22),[22], % 0.56/0.99 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.56/0.99 [27=demod(25),[26,26], % 0.56/0.99 multiply(X10,X11) = multiply(X11,X10)]. % 0.56/0.99 [29=param(16,7),[7,9,22,9,15], % 0.56/0.99 inverse(multiply(inverse(X10),multiply(inverse(X11),X10))) = X11]. % 0.56/0.99 [31=param(16,7),[7,9,22,29,9], % 0.56/0.99 inverse(inverse(X10)) = X10]. % 0.56/0.99 [35=param(16,31),[31], % 0.56/0.99 multiply(X10,inverse(multiply(inverse(X11),multiply(inverse(X12),multiply(X10,X11))))) = X12]. % 0.56/0.99 [40=param(29,29),[], % 0.56/0.99 inverse(multiply(inverse(X10),multiply(X11,X10))) = multiply(inverse(X12),multiply(inverse(X11),X12))]. % 0.56/0.99 [42=param(29,31),[], % 0.56/0.99 inverse(multiply(inverse(X10),multiply(X11,X10))) = inverse(X11)]. % 0.56/0.99 [43=demod(40),[42], % 0.56/0.99 multiply(inverse(X11),multiply(inverse(X10),X11)) = inverse(X10)]. % 0.56/0.99 [47=param(43,31),[31], % 0.56/0.99 multiply(inverse(X10),multiply(X11,X10)) = X11]. % 0.56/0.99 [48=param(47,17),[31], % 0.56/0.99 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.56/0.99 [49=param(47,27),[], % 0.56/0.99 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.56/0.99 [50=param(47,31),[], % 0.56/0.99 multiply(X10,multiply(X11,inverse(X10))) = X11]. % 0.56/0.99 [51=param(47,47),[-13,31], % 0.56/0.99 multiply(X10,inverse(multiply(X10,X11))) = inverse(X11)]. % 0.56/0.99 [53=param(47,49),[-13,31], % 0.56/0.99 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.56/0.99 [58=param(35,31),[], % 0.56/0.99 multiply(X10,inverse(multiply(inverse(X11),multiply(X12,multiply(X10,X11))))) = inverse(X12)]. % 0.56/0.99 [60=param(49,53),[], % 0.56/0.99 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 0.56/0.99 [61=param(51,48),[], % 0.56/0.99 inverse(multiply(inverse(X10),X11)) = multiply(X10,inverse(X11))]. % 0.56/0.99 [63=demod(58),[61], % 0.56/0.99 multiply(X10,multiply(X11,inverse(multiply(X12,multiply(X10,X11))))) = inverse(X12)]. % 0.56/0.99 [65=param(51,49),[], % 0.56/0.99 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X10,X11))]. % 0.56/0.99 [66=demod(60),[65], % 0.56/0.99 inverse(multiply(X10,X11)) = inverse(multiply(X11,X10))]. % 0.56/0.99 [67=param(65,31),[], % 0.56/0.99 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.56/0.99 [76=param(50,66),[], % 0.56/0.99 multiply(multiply(X10,X11),multiply(X12,inverse(multiply(X11,X10)))) = X12]. % 0.56/0.99 [108=param(76,67),[31], % 0.56/0.99 multiply(multiply(X10,X11),inverse(multiply(X12,multiply(X11,X10)))) = inverse(X12)]. % 0.56/0.99 [123=param(51,108),[31,31], % 0.56/0.99 multiply(multiply(X10,X11),X12) = multiply(X12,multiply(X11,X10))]. % 0.56/0.99 [130=param(63,123),[], % 0.56/0.99 multiply(X10,multiply(X11,inverse(multiply(multiply(X11,X10),X12)))) = inverse(X12)]. % 0.56/0.99 [147=param(130,51),[31,31], % 0.56/0.99 multiply(multiply(X11,X10),X12) = multiply(X10,multiply(X11,X12))]. % 0.56/0.99 [175=param(147,27),[], % 0.56/0.99 multiply(X10,multiply(X11,X12)) = multiply(X12,multiply(X11,X10))]. % 0.56/0.99 [182=param(6,175),[27,-13,31,5], % 0.56/0.99 thmtrue = thmfalse]. % 0.56/0.99 % SZS output end CNFRefutation % 0.56/0.99 Space: 205 KB %------------------------------------------------------------------------------