%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP685-10 : TPTP v8.1.0. Released v8.1.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n016.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 09:15:24 EDT 2022 % Result : Unsatisfiable 0.73s 1.10s % Output : CNFRefutation 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP685-10 : TPTP v8.1.0. Released v8.1.0. % 0.03/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n016.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 : Tue Jun 14 07:52:30 EDT 2022 % 0.12/0.33 % CPUTime : % 0.73/1.10 Theorem Proved. % 0.73/1.10 % SZS status Unsatisfiable % 0.73/1.10 % SZS output start CNFRefutation % 0.73/1.10 [1=axiom,[], % 0.73/1.10 rd(mult(rd(X10,X10),X11),X11) = ld(X10,mult(X10,ld(X11,X11)))]. % 0.73/1.10 [2=axiom,[], % 0.73/1.10 rd(mult(mult(X10,X11),rd(X12,X13)),rd(X12,X13)) = mult(X10,rd(mult(X11,X13),X13))]. % 0.73/1.10 [3=axiom,[], % 0.73/1.10 ld(ld(X10,X11),mult(ld(X10,X11),mult(X12,X13))) = mult(ld(X10,mult(X10,X12)),X13)]. % 0.73/1.10 [4=axiom,[], % 0.73/1.10 mult(rd(X10,X11),X11) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [5=axiom,[], % 0.73/1.10 mult(X10,ld(X10,X11)) = ld(X10,mult(X10,X11))]. % 0.73/1.10 [6=axiom,[], % 0.73/1.10 rd(mult(X10,X10),X10) = X10]. % 0.73/1.10 [7=axiom,[], % 0.73/1.10 ld(X10,mult(X10,X10)) = X10]. % 0.73/1.10 [8=axiom,[], % 0.73/1.10 thtop(X10,X10) = thmfalse]. % 0.73/1.10 [9=axiom,[], % 0.73/1.10 thtop(rd(mult(x6,ld(x7,x8)),ld(x7,x8)),rd(mult(x6,x8),x8)) = thmtrue]. % 0.73/1.10 [11=param(1,6),[], % 0.73/1.10 ld(X10,mult(X10,ld(rd(X10,X10),rd(X10,X10)))) = rd(X10,X10)]. % 0.73/1.10 [12=param(1,4),[6,5,7], % 0.73/1.10 ld(X10,X10) = rd(X10,X10)]. % 0.73/1.10 [13=demod(1),[12], % 0.73/1.10 rd(mult(rd(X10,X10),X11),X11) = ld(X10,mult(X10,rd(X11,X11)))]. % 0.73/1.10 [14=demod(11),[12], % 0.73/1.10 ld(X10,mult(X10,rd(rd(X10,X10),rd(X10,X10)))) = rd(X10,X10)]. % 0.73/1.10 [16=param(5,12),[7], % 0.73/1.10 mult(X10,rd(X10,X10)) = X10]. % 0.73/1.10 [17=param(2,6),[6], % 0.73/1.10 rd(mult(mult(X10,X11),X12),X12) = mult(X10,rd(mult(X11,X12),X12))]. % 0.73/1.10 [18=demod(2),[17], % 0.73/1.10 mult(X10,rd(mult(X11,rd(X12,X13)),rd(X12,X13))) = mult(X10,rd(mult(X11,X13),X13))]. % 0.73/1.10 [20=param(3,7),[7], % 0.73/1.10 mult(ld(X10,mult(X10,X11)),X12) = ld(X10,mult(X10,mult(X11,X12)))]. % 0.73/1.10 [21=demod(3),[20], % 0.73/1.10 ld(ld(X10,X11),mult(ld(X10,X11),mult(X12,X13))) = ld(X10,mult(X10,mult(X12,X13)))]. % 0.73/1.10 [22=param(20,7),[], % 0.73/1.10 ld(X10,mult(X10,mult(X10,X11))) = mult(X10,X11)]. % 0.73/1.10 [25=param(4,13),[20,4,6,17,6], % 0.73/1.10 mult(rd(X10,X10),X11) = ld(X10,mult(X10,X11))]. % 0.73/1.10 [26=demod(13),[25], % 0.73/1.10 ld(X10,mult(X10,rd(X11,X11))) = rd(ld(X10,mult(X10,X11)),X11)]. % 0.73/1.10 [27=demod(14),[26,16,12], % 0.73/1.10 rd(rd(X10,X10),rd(X10,X10)) = rd(X10,X10)]. % 0.73/1.10 [28=param(22,25),[25,5,22,25], % 0.73/1.10 ld(rd(X10,X10),ld(X10,mult(X10,X11))) = ld(X10,mult(X10,X11))]. % 0.73/1.10 [31=param(17,16),[25], % 0.73/1.10 mult(X10,rd(ld(X10,mult(X10,X11)),X11)) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [32=param(5,26),[31,22], % 0.73/1.10 mult(X10,rd(X11,X11)) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [33=demod(26),[32], % 0.73/1.10 ld(X10,rd(mult(X10,X11),X11)) = rd(ld(X10,mult(X10,X11)),X11)]. % 0.73/1.10 [34=param(22,32),[32], % 0.73/1.10 ld(X10,mult(X10,rd(mult(X10,X11),X11))) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [35=param(32,27),[32,32], % 0.73/1.10 rd(rd(mult(X10,X11),X11),rd(X11,X11)) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [37=param(21,22),[], % 0.73/1.10 ld(X10,mult(X10,mult(ld(X10,X11),X12))) = mult(ld(X10,X11),X12)]. % 0.73/1.10 [38=param(35,6),[6], % 0.73/1.10 rd(X10,rd(X10,X10)) = X10]. % 0.73/1.10 [39=param(34,18),[34], % 0.73/1.10 rd(mult(X10,rd(X12,X11)),rd(X12,X11)) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [41=param(28,22),[22], % 0.73/1.10 ld(rd(X10,X10),mult(X10,X11)) = mult(X10,X11)]. % 0.73/1.10 [43=param(28,34),[34], % 0.73/1.10 ld(rd(X10,X10),rd(mult(X10,X11),X11)) = rd(mult(X10,X11),X11)]. % 0.73/1.10 [44=param(28,37),[37], % 0.73/1.10 ld(rd(X10,X10),mult(ld(X10,X11),X12)) = mult(ld(X10,X11),X12)]. % 0.73/1.10 [49=param(39,6),[4], % 0.73/1.10 rd(rd(mult(X10,X11),X11),X11) = rd(X10,X11)]. % 0.73/1.10 [52=param(49,32),[35,35], % 0.73/1.10 rd(mult(X10,X11),X11) = rd(X10,rd(X11,X11))]. % 0.73/1.10 [53=demod(49),[52], % 0.73/1.10 rd(rd(X10,rd(X11,X11)),X11) = rd(X10,X11)]. % 0.73/1.10 [54=demod(43),[52,52], % 0.73/1.10 ld(rd(X10,X10),rd(X10,rd(X11,X11))) = rd(X10,rd(X11,X11))]. % 0.73/1.10 [57=demod(33),[52], % 0.73/1.10 rd(ld(X10,mult(X10,X11)),X11) = ld(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [59=demod(32),[52], % 0.73/1.10 mult(X10,rd(X11,X11)) = rd(X10,rd(X11,X11))]. % 0.73/1.10 [60=demod(4),[52], % 0.73/1.10 mult(rd(X10,X11),X11) = rd(X10,rd(X11,X11))]. % 0.73/1.10 [61=demod(39),[52,52], % 0.73/1.10 rd(X10,rd(rd(X11,X12),rd(X11,X12))) = rd(X10,rd(X12,X12))]. % 0.73/1.10 [64=demod(17),[52,52], % 0.73/1.10 mult(X10,rd(X11,rd(X12,X12))) = rd(mult(X10,X11),rd(X12,X12))]. % 0.73/1.10 [68=param(59,25),[59], % 0.73/1.10 ld(X10,rd(X10,rd(X11,X11))) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [69=demod(57),[68], % 0.73/1.10 rd(ld(X10,mult(X10,X11)),X11) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [70=param(9,52),[52], % 0.73/1.10 thtop(rd(x6,rd(ld(x7,x8),ld(x7,x8))),rd(x6,rd(x8,x8))) = thmtrue]. % 0.73/1.10 [71=param(52,60),[53], % 0.73/1.10 rd(rd(X10,X11),rd(X11,X11)) = rd(X10,X11)]. % 0.73/1.10 [76=param(64,38),[], % 0.73/1.10 rd(mult(X10,X11),rd(X11,X11)) = mult(X10,X11)]. % 0.73/1.10 [80=param(76,25),[25], % 0.73/1.10 rd(ld(X10,mult(X10,X11)),rd(X11,X11)) = ld(X10,mult(X10,X11))]. % 0.73/1.10 [83=param(53,61),[], % 0.73/1.10 rd(rd(X10,rd(X11,X11)),rd(X12,X11)) = rd(X10,rd(X12,X11))]. % 0.73/1.10 [84=param(61,71),[], % 0.73/1.10 rd(rd(X10,rd(X11,X12)),rd(X12,X12)) = rd(X10,rd(X11,X12))]. % 0.73/1.10 [86=param(20,5),[37], % 0.73/1.10 mult(ld(X10,ld(X10,mult(X10,X11))),X12) = mult(ld(X10,X11),X12)]. % 0.73/1.10 [87=param(25,5),[25,28], % 0.73/1.10 ld(X10,mult(X10,ld(rd(X10,X10),X11))) = ld(X10,mult(X10,X11))]. % 0.73/1.10 [88=param(5,87),[5,22,22], % 0.73/1.10 mult(X10,ld(rd(X10,X10),X11)) = mult(X10,X11)]. % 0.73/1.10 [90=param(86,25),[28,28,20], % 0.73/1.10 mult(ld(rd(X10,X10),X11),X12) = ld(X10,mult(X10,mult(X11,X12)))]. % 0.73/1.10 [93=param(61,76),[76,71], % 0.73/1.10 rd(X10,rd(mult(X11,X12),mult(X11,X12))) = rd(X10,rd(X12,X12))]. % 0.73/1.10 [101=param(52,20),[], % 0.73/1.10 rd(ld(X10,mult(X10,mult(X11,X12))),X12) = rd(ld(X10,mult(X10,X11)),rd(X12,X12))]. % 0.73/1.10 [106=param(76,20),[20], % 0.73/1.10 rd(ld(X10,mult(X10,mult(X11,X12))),rd(X12,X12)) = ld(X10,mult(X10,mult(X11,X12)))]. % 0.73/1.10 [107=param(76,88),[88], % 0.73/1.10 rd(mult(X10,X11),rd(ld(rd(X10,X10),X11),ld(rd(X10,X10),X11))) = mult(X10,X11)]. % 0.73/1.10 [113=param(52,90),[101], % 0.73/1.10 rd(ld(X10,mult(X10,X11)),rd(X12,X12)) = rd(ld(rd(X10,X10),X11),rd(X12,X12))]. % 0.73/1.10 [114=demod(101),[113], % 0.73/1.10 rd(ld(X10,mult(X10,mult(X11,X12))),X12) = rd(ld(rd(X10,X10),X11),rd(X12,X12))]. % 0.73/1.10 [116=demod(106),[113], % 0.73/1.10 ld(X10,mult(X10,mult(X11,X12))) = rd(ld(rd(X10,X10),mult(X11,X12)),rd(X12,X12))]. % 0.73/1.10 [117=demod(114),[116,53], % 0.73/1.10 rd(ld(rd(X10,X10),mult(X11,X12)),X12) = rd(ld(rd(X10,X10),X11),rd(X12,X12))]. % 0.73/1.10 [125=demod(80),[113], % 0.73/1.10 ld(X10,mult(X10,X11)) = rd(ld(rd(X10,X10),X11),rd(X11,X11))]. % 0.73/1.10 [131=demod(69),[125,53], % 0.73/1.10 rd(ld(rd(X10,X10),X11),X11) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [134=demod(5),[125], % 0.73/1.10 mult(X10,ld(X10,X11)) = rd(ld(rd(X10,X10),X11),rd(X11,X11))]. % 0.73/1.10 [141=param(131,41),[93], % 0.73/1.10 rd(mult(X10,X11),mult(X10,X11)) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [143=demod(93),[141], % 0.73/1.10 rd(X10,rd(rd(X11,X11),rd(X12,X12))) = rd(X10,rd(X12,X12))]. % 0.73/1.10 [147=param(131,54),[61,71], % 0.73/1.10 rd(rd(X10,rd(X11,X11)),rd(X10,rd(X11,X11))) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [148=param(59,141),[64,59,141,143], % 0.73/1.10 rd(rd(X10,rd(X11,X11)),rd(X12,X12)) = rd(X10,rd(X12,X12))]. % 0.73/1.10 [149=param(141,60),[60,84], % 0.73/1.10 rd(rd(X10,rd(X11,X11)),rd(X10,rd(X11,X11))) = rd(rd(X10,X11),rd(X10,X11))]. % 0.73/1.10 [150=demod(147),[149], % 0.73/1.10 rd(rd(X10,X11),rd(X10,X11)) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [154=param(141,134),[134,149,131,131,143,83], % 0.73/1.10 rd(rd(X10,X10),rd(ld(X10,X11),ld(X10,X11))) = rd(rd(X10,X10),rd(X11,X11))]. % 0.73/1.10 [159=param(53,148),[53], % 0.73/1.10 rd(rd(X10,rd(X12,X12)),X11) = rd(X10,X11)]. % 0.73/1.10 [160=demod(149),[159], % 0.73/1.10 rd(rd(X10,X11),rd(X10,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [162=demod(150),[160], % 0.73/1.10 rd(rd(X10,X10),rd(X11,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [165=demod(141),[162], % 0.73/1.10 rd(mult(X10,X11),mult(X10,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [167=demod(131),[162], % 0.73/1.10 rd(ld(rd(X10,X10),X11),X11) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [170=demod(154),[162,162], % 0.73/1.10 rd(X10,rd(X10,rd(ld(X10,X11),ld(X10,X11)))) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [171=demod(143),[162], % 0.73/1.10 rd(X10,rd(X11,rd(X11,rd(X12,X12)))) = rd(X10,rd(X12,X12))]. % 0.73/1.10 [230=param(171,107),[165,171], % 0.73/1.10 rd(X10,rd(ld(rd(X12,X12),X11),ld(rd(X12,X12),X11))) = rd(X10,rd(X11,X11))]. % 0.73/1.10 [236=param(117,44),[52], % 0.73/1.10 rd(ld(rd(X10,X10),ld(X10,X11)),rd(X12,X12)) = rd(ld(X10,X11),rd(X12,X12))]. % 0.73/1.10 [241=param(236,38),[230,38], % 0.73/1.10 ld(rd(X10,X10),ld(X10,X11)) = ld(X10,X11)]. % 0.73/1.10 [244=param(167,241),[170], % 0.73/1.10 rd(ld(X10,X11),ld(X10,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.73/1.10 [247=param(70,244),[171,8], % 0.73/1.10 thmtrue = thmfalse]. % 0.73/1.10 % SZS output end CNFRefutation % 0.73/1.10 Space: 373 KB %------------------------------------------------------------------------------