%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP547-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n023.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 09:14:30 EDT 2022 % Result : Unsatisfiable 0.47s 1.16s % Output : CNFRefutation 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GRP547-1 : TPTP v8.1.0. Released v2.6.0. % 0.08/0.13 % Command : fiesta-wrapper %s % 0.13/0.35 % Computer : n023.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jun 13 15:20:21 EDT 2022 % 0.13/0.35 % CPUTime : % 0.47/1.16 Theorem Proved. % 0.47/1.16 % SZS status Unsatisfiable % 0.47/1.16 % SZS output start CNFRefutation % 0.47/1.16 [1=axiom,[], % 0.47/1.16 divide(X10,X10) = identity]. % 0.47/1.16 [2=axiom,[], % 0.47/1.16 divide(identity,X10) = inverse(X10)]. % 0.47/1.16 [3=axiom,[2], % 0.47/1.16 divide(X10,inverse(X11)) = multiply(X10,X11)]. % 0.47/1.16 [4=axiom,[2], % 0.47/1.16 divide(inverse(divide(X10,X11)),divide(divide(X11,X12),X10)) = X12]. % 0.47/1.16 [5=axiom,[], % 0.47/1.16 thtop(X10,X10) = thmfalse]. % 0.47/1.16 [6=axiom,[], % 0.47/1.16 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.47/1.16 [7=param(2,1),[], % 0.47/1.16 inverse(identity) = identity]. % 0.47/1.16 [8=param(3,1),[], % 0.47/1.16 multiply(inverse(X10),X10) = identity]. % 0.47/1.16 [9=param(3,2),[], % 0.47/1.16 multiply(identity,X10) = inverse(inverse(X10))]. % 0.47/1.16 [10=param(3,7),[], % 0.47/1.16 divide(X10,identity) = multiply(X10,identity)]. % 0.47/1.16 [11=param(4,1),[7,2], % 0.47/1.16 inverse(divide(divide(X10,X11),X10)) = X11]. % 0.47/1.16 [12=param(4,1),[11,10], % 0.47/1.16 multiply(X10,identity) = X10]. % 0.47/1.16 [13=demod(10),[12], % 0.47/1.16 divide(X10,identity) = X10]. % 0.47/1.16 [14=param(4,1),[2,3], % 0.47/1.16 multiply(inverse(divide(X10,X11)),X10) = X11]. % 0.47/1.16 [16=param(4,2),[13], % 0.47/1.16 divide(inverse(X10),divide(inverse(X11),X10)) = X11]. % 0.47/1.16 [19=param(4,3),[], % 0.47/1.16 divide(inverse(divide(X10,X11)),divide(multiply(X11,X12),X10)) = inverse(X12)]. % 0.47/1.16 [21=param(14,1),[7,9], % 0.47/1.16 inverse(inverse(X10)) = X10]. % 0.47/1.16 [23=demod(9),[21], % 0.47/1.16 multiply(identity,X10) = X10]. % 0.47/1.16 [24=param(14,3),[], % 0.47/1.16 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.47/1.16 [27=param(16,4),[], % 0.47/1.16 divide(inverse(divide(divide(X10,X11),X12)),X11) = divide(X12,X10)]. % 0.47/1.16 [29=param(4,16),[3], % 0.47/1.16 divide(inverse(multiply(X10,X11)),divide(X12,X10)) = divide(inverse(X12),X11)]. % 0.47/1.16 [30=param(14,16),[], % 0.47/1.16 divide(inverse(X10),X11) = multiply(inverse(X10),inverse(X11))]. % 0.47/1.16 [32=demod(19),[30], % 0.47/1.16 multiply(inverse(divide(X10,X11)),inverse(divide(multiply(X11,X12),X10))) = inverse(X12)]. % 0.47/1.16 [35=demod(27),[30], % 0.47/1.16 multiply(inverse(divide(divide(X10,X11),X12)),inverse(X11)) = divide(X12,X10)]. % 0.47/1.16 [38=demod(29),[30,30], % 0.47/1.16 multiply(inverse(multiply(X10,X11)),inverse(divide(X12,X10))) = multiply(inverse(X12),inverse(X11))]. % 0.47/1.16 [39=param(3,21),[], % 0.47/1.16 divide(X10,X11) = multiply(X10,inverse(X11))]. % 0.47/1.16 [41=demod(38),[39], % 0.47/1.16 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,inverse(X10)))) = multiply(inverse(X12),inverse(X11))]. % 0.47/1.16 [42=demod(32),[39,39], % 0.47/1.16 multiply(inverse(multiply(X10,inverse(X11))),inverse(multiply(multiply(X11,X12),inverse(X10)))) = inverse(X12)]. % 0.47/1.16 [46=demod(35),[39,39,39], % 0.47/1.16 multiply(inverse(multiply(multiply(X10,inverse(X11)),inverse(X12))),inverse(X11)) = multiply(X12,inverse(X10))]. % 0.47/1.16 [49=param(24,24),[21], % 0.47/1.16 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.47/1.16 [50=param(41,7),[23,12], % 0.47/1.16 multiply(inverse(X10),inverse(X11)) = multiply(inverse(X11),inverse(X10))]. % 0.47/1.16 [51=demod(46),[50], % 0.47/1.16 multiply(inverse(X10),inverse(multiply(multiply(X11,inverse(X10)),inverse(X12)))) = multiply(X12,inverse(X11))]. % 0.47/1.16 [52=param(41,8),[7,21,23], % 0.47/1.16 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X10,X11))]. % 0.47/1.16 [53=demod(42),[52], % 0.47/1.16 inverse(multiply(multiply(X10,inverse(X11)),multiply(multiply(X11,X12),inverse(X10)))) = inverse(X12)]. % 0.47/1.16 [54=demod(51),[52], % 0.47/1.16 inverse(multiply(X10,multiply(multiply(X11,inverse(X10)),inverse(X12)))) = multiply(X12,inverse(X11))]. % 0.47/1.16 [59=demod(50),[52,52], % 0.47/1.16 inverse(multiply(X10,X11)) = inverse(multiply(X11,X10))]. % 0.47/1.16 [61=param(52,21),[], % 0.47/1.16 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.47/1.16 [62=demod(24),[61,59,61,21], % 0.47/1.16 multiply(X10,inverse(multiply(X10,X11))) = inverse(X11)]. % 0.47/1.16 [66=param(53,21),[61,21,61,21], % 0.47/1.16 multiply(multiply(X10,X11),inverse(multiply(multiply(X11,X12),X10))) = inverse(X12)]. % 0.47/1.16 [70=param(54,23),[7,12], % 0.47/1.16 inverse(multiply(X10,inverse(X11))) = multiply(X11,inverse(X10))]. % 0.47/1.16 [75=param(62,49),[21,21], % 0.47/1.16 multiply(X10,X11) = multiply(X11,X10)]. % 0.47/1.16 [78=param(6,75),[75,75], % 0.47/1.16 thtop(multiply(c3,multiply(b3,a3)),multiply(a3,multiply(c3,b3))) = thmtrue]. % 0.47/1.16 [98=param(61,70),[], % 0.47/1.16 multiply(multiply(X10,inverse(X11)),X12) = inverse(multiply(multiply(X11,inverse(X10)),inverse(X12)))]. % 0.47/1.16 [120=param(66,62),[61,21,21], % 0.47/1.16 multiply(multiply(X10,X11),multiply(X12,inverse(X10))) = multiply(X11,X12)]. % 0.47/1.16 [140=param(120,75),[], % 0.47/1.16 multiply(multiply(X10,X11),multiply(X12,inverse(X11))) = multiply(X10,X12)]. % 0.47/1.16 [141=param(140,21),[], % 0.47/1.16 multiply(multiply(X10,inverse(X11)),multiply(X12,X11)) = multiply(X10,X12)]. % 0.47/1.16 [153=param(141,75),[], % 0.47/1.16 multiply(multiply(X10,inverse(X11)),multiply(X11,X12)) = multiply(X10,X12)]. % 0.47/1.16 [159=param(153,62),[], % 0.47/1.16 multiply(multiply(X10,inverse(X11)),inverse(X12)) = multiply(X10,inverse(multiply(X11,X12)))]. % 0.47/1.16 [167=demod(98),[159], % 0.47/1.16 multiply(multiply(X10,inverse(X11)),X12) = inverse(multiply(X11,inverse(multiply(X10,X12))))]. % 0.47/1.16 [175=param(167,21),[61,21,21], % 0.47/1.16 multiply(multiply(X10,X11),X12) = multiply(X11,multiply(X10,X12))]. % 0.47/1.16 [193=param(175,75),[175], % 0.47/1.16 multiply(X10,multiply(X11,X12)) = multiply(X11,multiply(X10,X12))]. % 0.47/1.16 [201=param(78,193),[75,5], % 0.47/1.16 thmtrue = thmfalse]. % 0.47/1.16 % SZS output end CNFRefutation % 0.47/1.16 Space: 160 KB %------------------------------------------------------------------------------