%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP682-11 : TPTP v8.1.0. Released v8.1.0. % 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 09:15:23 EDT 2022 % Result : Unsatisfiable 0.77s 1.14s % Output : CNFRefutation 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP682-11 : TPTP v8.1.0. Released v8.1.0. % 0.06/0.12 % Command : fiesta-wrapper %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jun 14 07:42:20 EDT 2022 % 0.13/0.33 % CPUTime : % 0.77/1.14 Theorem Proved. % 0.77/1.14 % SZS status Unsatisfiable % 0.77/1.14 % SZS output start CNFRefutation % 0.77/1.14 [1=axiom,[], % 0.77/1.14 rd(mult(rd(X10,X10),X11),X11) = ld(X10,mult(X10,ld(X11,X11)))]. % 0.77/1.14 [2=axiom,[], % 0.77/1.14 rd(mult(mult(X10,X11),rd(X12,X13)),rd(X12,X13)) = mult(X10,rd(mult(X11,X13),X13))]. % 0.77/1.14 [3=axiom,[], % 0.77/1.14 ld(ld(X10,X11),mult(ld(X10,X11),mult(X12,X13))) = mult(ld(X10,mult(X10,X12)),X13)]. % 0.77/1.14 [4=axiom,[], % 0.77/1.14 mult(rd(X10,X11),X11) = rd(mult(X10,X11),X11)]. % 0.77/1.14 [5=axiom,[], % 0.77/1.14 mult(X10,ld(X10,X11)) = ld(X10,mult(X10,X11))]. % 0.77/1.14 [6=axiom,[], % 0.77/1.14 rd(mult(X10,X10),X10) = X10]. % 0.77/1.14 [7=axiom,[], % 0.77/1.14 ld(X10,mult(X10,X10)) = X10]. % 0.77/1.14 [8=axiom,[], % 0.77/1.14 thtop(X10,X10) = thmfalse]. % 0.77/1.14 [9=axiom,[], % 0.77/1.14 thtop(ld(rd(x0,x1),mult(rd(x0,x1),x2)),ld(x0,mult(x0,x2))) = thmtrue]. % 0.77/1.14 [11=param(1,6),[], % 0.77/1.14 ld(X10,mult(X10,ld(rd(X10,X10),rd(X10,X10)))) = rd(X10,X10)]. % 0.77/1.14 [12=param(1,4),[6,5,7], % 0.77/1.14 ld(X10,X10) = rd(X10,X10)]. % 0.77/1.14 [13=demod(1),[12], % 0.77/1.14 rd(mult(rd(X10,X10),X11),X11) = ld(X10,mult(X10,rd(X11,X11)))]. % 0.77/1.14 [14=demod(11),[12], % 0.77/1.14 ld(X10,mult(X10,rd(rd(X10,X10),rd(X10,X10)))) = rd(X10,X10)]. % 0.77/1.14 [16=param(5,12),[7], % 0.77/1.14 mult(X10,rd(X10,X10)) = X10]. % 0.77/1.14 [17=param(2,6),[6], % 0.77/1.14 rd(mult(mult(X10,X11),X12),X12) = mult(X10,rd(mult(X11,X12),X12))]. % 0.77/1.14 [18=demod(2),[17], % 0.77/1.14 mult(X10,rd(mult(X11,rd(X12,X13)),rd(X12,X13))) = mult(X10,rd(mult(X11,X13),X13))]. % 0.77/1.14 [20=param(3,7),[7], % 0.77/1.14 mult(ld(X10,mult(X10,X11)),X12) = ld(X10,mult(X10,mult(X11,X12)))]. % 0.77/1.14 [21=demod(3),[20], % 0.77/1.14 ld(ld(X10,X11),mult(ld(X10,X11),mult(X12,X13))) = ld(X10,mult(X10,mult(X12,X13)))]. % 0.77/1.14 [22=param(20,7),[], % 0.77/1.14 ld(X10,mult(X10,mult(X10,X11))) = mult(X10,X11)]. % 0.77/1.14 [25=param(4,13),[20,4,6,17,6], % 0.77/1.14 mult(rd(X10,X10),X11) = ld(X10,mult(X10,X11))]. % 0.77/1.14 [26=demod(13),[25], % 0.77/1.14 ld(X10,mult(X10,rd(X11,X11))) = rd(ld(X10,mult(X10,X11)),X11)]. % 0.77/1.14 [27=demod(14),[26,16,12], % 0.77/1.14 rd(rd(X10,X10),rd(X10,X10)) = rd(X10,X10)]. % 0.77/1.14 [28=param(22,25),[25,5,22,25], % 0.77/1.14 ld(rd(X10,X10),ld(X10,mult(X10,X11))) = ld(X10,mult(X10,X11))]. % 0.77/1.14 [31=param(17,16),[25], % 0.77/1.14 mult(X10,rd(ld(X10,mult(X10,X11)),X11)) = rd(mult(X10,X11),X11)]. % 0.77/1.14 [32=param(5,26),[31,22], % 0.77/1.14 mult(X10,rd(X11,X11)) = rd(mult(X10,X11),X11)]. % 0.77/1.14 [33=demod(26),[32], % 0.77/1.14 ld(X10,rd(mult(X10,X11),X11)) = rd(ld(X10,mult(X10,X11)),X11)]. % 0.77/1.14 [34=param(22,32),[32], % 0.77/1.14 ld(X10,mult(X10,rd(mult(X10,X11),X11))) = rd(mult(X10,X11),X11)]. % 0.77/1.14 [35=param(32,27),[32,32], % 0.77/1.14 rd(rd(mult(X10,X11),X11),rd(X11,X11)) = rd(mult(X10,X11),X11)]. % 0.77/1.14 [37=param(21,22),[], % 0.77/1.14 ld(X10,mult(X10,mult(ld(X10,X11),X12))) = mult(ld(X10,X11),X12)]. % 0.77/1.14 [38=param(35,6),[6], % 0.77/1.14 rd(X10,rd(X10,X10)) = X10]. % 0.77/1.14 [39=param(34,18),[34], % 0.77/1.14 rd(mult(X10,rd(X12,X11)),rd(X12,X11)) = rd(mult(X10,X11),X11)]. % 0.77/1.14 [41=param(28,22),[22], % 0.77/1.14 ld(rd(X10,X10),mult(X10,X11)) = mult(X10,X11)]. % 0.77/1.14 [44=param(28,37),[37], % 0.77/1.14 ld(rd(X10,X10),mult(ld(X10,X11),X12)) = mult(ld(X10,X11),X12)]. % 0.77/1.14 [49=param(39,6),[4], % 0.77/1.14 rd(rd(mult(X10,X11),X11),X11) = rd(X10,X11)]. % 0.77/1.14 [52=param(49,32),[35,35], % 0.77/1.14 rd(mult(X10,X11),X11) = rd(X10,rd(X11,X11))]. % 0.77/1.14 [53=demod(49),[52], % 0.77/1.14 rd(rd(X10,rd(X11,X11)),X11) = rd(X10,X11)]. % 0.77/1.14 [57=demod(33),[52], % 0.77/1.14 rd(ld(X10,mult(X10,X11)),X11) = ld(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [59=demod(32),[52], % 0.77/1.14 mult(X10,rd(X11,X11)) = rd(X10,rd(X11,X11))]. % 0.77/1.14 [60=demod(4),[52], % 0.77/1.14 mult(rd(X10,X11),X11) = rd(X10,rd(X11,X11))]. % 0.77/1.14 [61=demod(39),[52,52], % 0.77/1.14 rd(X10,rd(rd(X11,X12),rd(X11,X12))) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [64=demod(17),[52,52], % 0.77/1.14 mult(X10,rd(X11,rd(X12,X12))) = rd(mult(X10,X11),rd(X12,X12))]. % 0.77/1.14 [68=param(59,25),[59], % 0.77/1.14 ld(X10,rd(X10,rd(X11,X11))) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [69=demod(57),[68], % 0.77/1.14 rd(ld(X10,mult(X10,X11)),X11) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [70=param(52,60),[53], % 0.77/1.14 rd(rd(X10,X11),rd(X11,X11)) = rd(X10,X11)]. % 0.77/1.14 [71=param(60,52),[], % 0.77/1.14 mult(rd(X10,rd(X11,X11)),X11) = rd(mult(X10,X11),rd(X11,X11))]. % 0.77/1.14 [75=param(64,38),[], % 0.77/1.14 rd(mult(X10,X11),rd(X11,X11)) = mult(X10,X11)]. % 0.77/1.14 [76=demod(71),[75], % 0.77/1.14 mult(rd(X10,rd(X11,X11)),X11) = mult(X10,X11)]. % 0.77/1.14 [79=param(61,70),[], % 0.77/1.14 rd(rd(X10,rd(X11,X12)),rd(X12,X12)) = rd(X10,rd(X11,X12))]. % 0.77/1.14 [82=param(75,25),[25], % 0.77/1.14 rd(ld(X10,mult(X10,X11)),rd(X11,X11)) = ld(X10,mult(X10,X11))]. % 0.77/1.14 [85=param(20,5),[37], % 0.77/1.14 mult(ld(X10,ld(X10,mult(X10,X11))),X12) = mult(ld(X10,X11),X12)]. % 0.77/1.14 [86=param(25,5),[25,28], % 0.77/1.14 ld(X10,mult(X10,ld(rd(X10,X10),X11))) = ld(X10,mult(X10,X11))]. % 0.77/1.14 [87=param(5,86),[5,22,22], % 0.77/1.14 mult(X10,ld(rd(X10,X10),X11)) = mult(X10,X11)]. % 0.77/1.14 [89=param(85,25),[28,28,20], % 0.77/1.14 mult(ld(rd(X10,X10),X11),X12) = ld(X10,mult(X10,mult(X11,X12)))]. % 0.77/1.14 [92=param(61,75),[75,70], % 0.77/1.14 rd(X10,rd(mult(X11,X12),mult(X11,X12))) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [100=param(52,20),[], % 0.77/1.14 rd(ld(X10,mult(X10,mult(X11,X12))),X12) = rd(ld(X10,mult(X10,X11)),rd(X12,X12))]. % 0.77/1.14 [105=param(75,20),[20], % 0.77/1.14 rd(ld(X10,mult(X10,mult(X11,X12))),rd(X12,X12)) = ld(X10,mult(X10,mult(X11,X12)))]. % 0.77/1.14 [106=param(75,87),[87], % 0.77/1.14 rd(mult(X10,X11),rd(ld(rd(X10,X10),X11),ld(rd(X10,X10),X11))) = mult(X10,X11)]. % 0.77/1.14 [112=param(52,89),[100], % 0.77/1.14 rd(ld(X10,mult(X10,X11)),rd(X12,X12)) = rd(ld(rd(X10,X10),X11),rd(X12,X12))]. % 0.77/1.14 [113=demod(100),[112], % 0.77/1.14 rd(ld(X10,mult(X10,mult(X11,X12))),X12) = rd(ld(rd(X10,X10),X11),rd(X12,X12))]. % 0.77/1.14 [115=demod(105),[112], % 0.77/1.14 ld(X10,mult(X10,mult(X11,X12))) = rd(ld(rd(X10,X10),mult(X11,X12)),rd(X12,X12))]. % 0.77/1.14 [116=demod(113),[115,53], % 0.77/1.14 rd(ld(rd(X10,X10),mult(X11,X12)),X12) = rd(ld(rd(X10,X10),X11),rd(X12,X12))]. % 0.77/1.14 [124=demod(82),[112], % 0.77/1.14 ld(X10,mult(X10,X11)) = rd(ld(rd(X10,X10),X11),rd(X11,X11))]. % 0.77/1.14 [130=demod(69),[124,53], % 0.77/1.14 rd(ld(rd(X10,X10),X11),X11) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [132=demod(25),[124], % 0.77/1.14 mult(rd(X10,X10),X11) = rd(ld(rd(X10,X10),X11),rd(X11,X11))]. % 0.77/1.14 [133=demod(5),[124], % 0.77/1.14 mult(X10,ld(X10,X11)) = rd(ld(rd(X10,X10),X11),rd(X11,X11))]. % 0.77/1.14 [139=param(44,59),[59], % 0.77/1.14 ld(rd(X10,X10),rd(ld(X10,X11),rd(X12,X12))) = rd(ld(X10,X11),rd(X12,X12))]. % 0.77/1.14 [140=param(9,124),[124], % 0.77/1.14 thtop(rd(ld(rd(rd(x0,x1),rd(x0,x1)),x2),rd(x2,x2)),rd(ld(rd(x0,x0),x2),rd(x2,x2))) = thmtrue]. % 0.77/1.14 [141=param(130,41),[92], % 0.77/1.14 rd(mult(X10,X11),mult(X10,X11)) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [143=demod(92),[141], % 0.77/1.14 rd(X10,rd(rd(X11,X11),rd(X12,X12))) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [146=param(141,59),[59,70], % 0.77/1.14 rd(rd(X10,rd(X11,X11)),rd(X10,rd(X11,X11))) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [147=param(59,141),[64,59,141,143], % 0.77/1.14 rd(rd(X10,rd(X11,X11)),rd(X12,X12)) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [148=param(141,60),[60,79], % 0.77/1.14 rd(rd(X10,rd(X11,X11)),rd(X10,rd(X11,X11))) = rd(rd(X10,X11),rd(X10,X11))]. % 0.77/1.14 [149=demod(146),[148], % 0.77/1.14 rd(rd(X10,X11),rd(X10,X11)) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [151=param(70,141),[141,148,141], % 0.77/1.14 rd(rd(rd(X10,X10),X11),rd(rd(X10,X10),X11)) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [154=param(141,133),[133,148,130,130,148,151], % 0.77/1.14 rd(rd(X10,X10),rd(ld(X10,X11),ld(X10,X11))) = rd(rd(X10,X10),rd(X11,X11))]. % 0.77/1.14 [156=param(52,64),[148,61], % 0.77/1.14 rd(rd(mult(X10,X11),rd(X12,X12)),rd(X11,rd(X12,X12))) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [160=param(53,147),[53], % 0.77/1.14 rd(rd(X10,rd(X12,X12)),X11) = rd(X10,X11)]. % 0.77/1.14 [161=demod(148),[160], % 0.77/1.14 rd(rd(X10,X11),rd(X10,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [163=demod(149),[161], % 0.77/1.14 rd(rd(X10,X10),rd(X11,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [166=demod(141),[163], % 0.77/1.14 rd(mult(X10,X11),mult(X10,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [168=demod(130),[163], % 0.77/1.14 rd(ld(rd(X10,X10),X11),X11) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [171=demod(154),[163,163], % 0.77/1.14 rd(X10,rd(X10,rd(ld(X10,X11),ld(X10,X11)))) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [172=demod(143),[163], % 0.77/1.14 rd(X10,rd(X11,rd(X11,rd(X12,X12)))) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [176=demod(156),[160], % 0.77/1.14 rd(mult(X10,X11),rd(X11,rd(X12,X12))) = rd(X10,rd(X12,X12))]. % 0.77/1.14 [183=param(76,160),[76], % 0.77/1.14 mult(rd(X10,rd(X12,X12)),X11) = mult(X10,X11)]. % 0.77/1.14 [205=param(140,161),[], % 0.77/1.14 thtop(rd(ld(rd(x0,rd(x0,rd(x1,x1))),x2),rd(x2,x2)),rd(ld(rd(x0,x0),x2),rd(x2,x2))) = thmtrue]. % 0.77/1.14 [213=param(176,60),[160], % 0.77/1.14 rd(rd(X10,X11),rd(X12,X12)) = rd(X10,rd(X11,rd(X12,X12)))]. % 0.77/1.14 [221=param(183,213),[], % 0.77/1.14 mult(rd(X10,rd(X11,rd(X12,X12))),X13) = mult(rd(X10,X11),X13)]. % 0.77/1.14 [229=param(172,106),[166,172], % 0.77/1.14 rd(X10,rd(ld(rd(X12,X12),X11),ld(rd(X12,X12),X11))) = rd(X10,rd(X11,X11))]. % 0.77/1.14 [235=param(116,44),[52], % 0.77/1.14 rd(ld(rd(X10,X10),ld(X10,X11)),rd(X12,X12)) = rd(ld(X10,X11),rd(X12,X12))]. % 0.77/1.14 [240=param(235,38),[229,38], % 0.77/1.14 ld(rd(X10,X10),ld(X10,X11)) = ld(X10,X11)]. % 0.77/1.14 [243=param(168,240),[171], % 0.77/1.14 rd(ld(X10,X11),ld(X10,X11)) = rd(X10,rd(X10,rd(X11,X11)))]. % 0.77/1.14 [271=param(139,38),[240,243,172], % 0.77/1.14 rd(ld(X10,X11),rd(X11,X11)) = ld(X10,X11)]. % 0.77/1.14 [274=demod(132),[271], % 0.77/1.14 mult(rd(X10,X10),X11) = ld(rd(X10,X10),X11)]. % 0.77/1.14 [275=demod(124),[271], % 0.77/1.14 ld(X10,mult(X10,X11)) = ld(rd(X10,X10),X11)]. % 0.77/1.14 [278=param(275,60),[161], % 0.77/1.14 ld(rd(X10,rd(X10,rd(X11,X11))),X11) = ld(rd(X10,X11),rd(X10,rd(X11,X11)))]. % 0.77/1.14 [289=param(274,160),[221,274,161,161,38], % 0.77/1.14 ld(rd(X10,rd(X10,rd(X12,X12))),X11) = ld(rd(X10,X10),X11)]. % 0.77/1.14 [297=demod(278),[289], % 0.77/1.14 ld(rd(X10,X10),X11) = ld(rd(X10,X11),rd(X10,rd(X11,X11)))]. % 0.77/1.14 [317=param(271,160),[172], % 0.77/1.14 rd(ld(X10,rd(X11,rd(X12,X12))),rd(X12,X12)) = ld(X10,rd(X11,rd(X12,X12)))]. % 0.77/1.14 [320=param(205,271),[289,297,297,317,8], % 0.77/1.14 thmtrue = thmfalse]. % 0.77/1.14 % SZS output end CNFRefutation % 0.77/1.14 Space: 453 KB %------------------------------------------------------------------------------