%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n012.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 09:15:31 EDT 2022 % Result : Unsatisfiable 2.75s 3.17s % Output : CNFRefutation 2.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n012.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 07:46:10 EDT 2022 % 0.12/0.34 % CPUTime : % 2.75/3.17 Theorem Proved. % 2.75/3.17 % SZS status Unsatisfiable % 2.75/3.17 % SZS output start CNFRefutation % 2.75/3.17 [1=axiom,[], % 2.75/3.17 mult(mult(X10,X10),X11) = mult(X11,mult(X10,X10))]. % 2.75/3.17 [2=axiom,[], % 2.75/3.17 mult(X10,mult(X10,mult(X10,X10))) = unit]. % 2.75/3.17 [3=axiom,[], % 2.75/3.17 mult(mult(mult(X10,X11),X11),X12) = mult(X10,mult(X11,mult(X11,X12)))]. % 2.75/3.17 [4=axiom,[], % 2.75/3.17 mult(unit,X10) = X10]. % 2.75/3.17 [5=axiom,[], % 2.75/3.17 mult(X10,unit) = X10]. % 2.75/3.17 [6=axiom,[], % 2.75/3.17 rd(mult(X10,X11),X11) = X10]. % 2.75/3.17 [7=axiom,[], % 2.75/3.17 mult(rd(X10,X11),X11) = X10]. % 2.75/3.17 [8=axiom,[], % 2.75/3.17 ld(X10,mult(X10,X11)) = X11]. % 2.75/3.17 [9=axiom,[], % 2.75/3.17 mult(X10,ld(X10,X11)) = X11]. % 2.75/3.17 [10=axiom,[], % 2.75/3.17 thtop(X10,X10) = thmfalse]. % 2.75/3.17 [11=axiom,[], % 2.75/3.17 thtop(mult(mult(a,b),a),mult(a,mult(b,a))) = thmtrue]. % 2.75/3.17 [13=param(8,1),[], % 2.75/3.17 ld(mult(X10,X10),mult(X11,mult(X10,X10))) = X11]. % 2.75/3.17 [16=param(8,2),[], % 2.75/3.17 ld(X10,unit) = mult(X10,mult(X10,X10))]. % 2.75/3.17 [18=param(3,4),[4], % 2.75/3.17 mult(mult(X10,X10),X11) = mult(X10,mult(X10,X11))]. % 2.75/3.17 [19=demod(1),[18], % 2.75/3.17 mult(X10,mult(X10,X11)) = mult(X11,mult(X10,X10))]. % 2.75/3.17 [21=param(3,5),[5], % 2.75/3.17 mult(mult(X10,X11),X11) = mult(X10,mult(X11,X11))]. % 2.75/3.17 [22=demod(3),[21], % 2.75/3.17 mult(mult(X10,mult(X11,X11)),X12) = mult(X10,mult(X11,mult(X11,X12)))]. % 2.75/3.17 [23=param(7,5),[], % 2.75/3.17 rd(X10,unit) = X10]. % 2.75/3.17 [24=param(8,7),[], % 2.75/3.17 ld(rd(X10,X11),X10) = X11]. % 2.75/3.17 [25=param(6,2),[], % 2.75/3.17 rd(unit,mult(X10,mult(X10,X10))) = X10]. % 2.75/3.17 [26=param(6,4),[], % 2.75/3.17 rd(X10,X10) = unit]. % 2.75/3.17 [27=param(6,9),[], % 2.75/3.17 rd(X10,ld(X11,X10)) = X11]. % 2.75/3.17 [28=param(13,7),[], % 2.75/3.17 ld(mult(X10,X10),X11) = rd(X11,mult(X10,X10))]. % 2.75/3.17 [30=param(28,8),[18], % 2.75/3.17 rd(mult(X10,mult(X10,X11)),mult(X10,X10)) = X11]. % 2.75/3.17 [32=param(28,16),[18,2,18,5], % 2.75/3.17 rd(unit,mult(X10,X10)) = mult(X10,X10)]. % 2.75/3.17 [33=param(6,18),[], % 2.75/3.17 rd(mult(X10,mult(X10,X11)),X11) = mult(X10,X10)]. % 2.75/3.17 [35=param(6,19),[], % 2.75/3.17 rd(mult(X10,mult(X11,X11)),mult(X11,X10)) = X11]. % 2.75/3.17 [37=param(8,19),[], % 2.75/3.17 ld(X10,mult(X11,mult(X10,X10))) = mult(X10,X11)]. % 2.75/3.17 [38=param(19,19),[], % 2.75/3.17 mult(mult(X10,X11),mult(X10,X10)) = mult(X10,mult(X11,mult(X10,X10)))]. % 2.75/3.17 [41=param(6,21),[], % 2.75/3.17 rd(mult(X10,mult(X11,X11)),X11) = mult(X10,X11)]. % 2.75/3.17 [42=param(21,7),[], % 2.75/3.17 mult(rd(X10,X11),mult(X11,X11)) = mult(X10,X11)]. % 2.75/3.17 [47=param(21,21),[22], % 2.75/3.17 mult(mult(X10,X11),mult(X11,X11)) = mult(X10,mult(X11,mult(X11,X11)))]. % 2.75/3.17 [48=param(6,42),[], % 2.75/3.17 rd(mult(X10,X11),mult(X11,X11)) = rd(X10,X11)]. % 2.75/3.17 [50=param(42,18),[2,5], % 2.75/3.17 mult(X10,mult(X11,X11)) = rd(X10,mult(X11,X11))]. % 2.75/3.17 [51=demod(25),[50], % 2.75/3.17 rd(unit,rd(X10,mult(X10,X10))) = X10]. % 2.75/3.17 [52=demod(16),[50], % 2.75/3.17 ld(X10,unit) = rd(X10,mult(X10,X10))]. % 2.75/3.17 [56=demod(41),[50], % 2.75/3.17 rd(rd(X10,mult(X11,X11)),X11) = mult(X10,X11)]. % 2.75/3.17 [60=demod(35),[50], % 2.75/3.17 rd(rd(X10,mult(X11,X11)),mult(X11,X10)) = X11]. % 2.75/3.17 [61=demod(22),[50], % 2.75/3.17 mult(rd(X10,mult(X11,X11)),X12) = mult(X10,mult(X11,mult(X11,X12)))]. % 2.75/3.17 [62=demod(21),[-56,48,50], % 2.75/3.17 rd(rd(X10,X11),X11) = rd(X10,mult(X11,X11))]. % 2.75/3.17 [63=demod(52),[-62,26], % 2.75/3.17 ld(X10,unit) = rd(unit,X10)]. % 2.75/3.17 [64=demod(51),[-62,26], % 2.75/3.17 rd(unit,rd(unit,X10)) = X10]. % 2.75/3.17 [65=demod(32),[-62], % 2.75/3.17 mult(X10,X10) = rd(rd(unit,X10),X10)]. % 2.75/3.17 [66=demod(33),[65], % 2.75/3.17 rd(mult(X10,mult(X10,X11)),X11) = rd(rd(unit,X10),X10)]. % 2.75/3.17 [68=demod(30),[65], % 2.75/3.17 rd(mult(X10,mult(X10,X11)),rd(rd(unit,X10),X10)) = X11]. % 2.75/3.17 [69=demod(28),[65,65], % 2.75/3.17 ld(rd(rd(unit,X10),X10),X11) = rd(X11,rd(rd(unit,X10),X10))]. % 2.75/3.17 [70=demod(18),[65], % 2.75/3.17 mult(rd(rd(unit,X10),X10),X11) = mult(X10,mult(X10,X11))]. % 2.75/3.17 [71=demod(62),[65], % 2.75/3.17 rd(rd(X10,X11),X11) = rd(X10,rd(rd(unit,X11),X11))]. % 2.75/3.17 [72=demod(61),[65], % 2.75/3.17 mult(rd(X10,rd(rd(unit,X11),X11)),X12) = mult(X10,mult(X11,mult(X11,X12)))]. % 2.75/3.17 [73=demod(60),[65], % 2.75/3.17 rd(rd(X10,rd(rd(unit,X11),X11)),mult(X11,X10)) = X11]. % 2.75/3.17 [76=demod(56),[65], % 2.75/3.17 mult(X10,X11) = rd(rd(X10,rd(rd(unit,X11),X11)),X11)]. % 2.75/3.17 [77=demod(8),[76], % 2.75/3.17 ld(X10,rd(rd(X10,rd(rd(unit,X11),X11)),X11)) = X11]. % 2.75/3.17 [80=demod(65),[76], % 2.75/3.17 rd(rd(X10,rd(rd(unit,X10),X10)),X10) = rd(rd(unit,X10),X10)]. % 2.75/3.17 [81=demod(68),[76,76], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,rd(rd(X10,rd(rd(unit,X11),X11)),X11)),rd(rd(X10,rd(rd(unit,X11),X11)),X11))),rd(rd(X10,rd(rd(unit,X11),X11)),X11)),rd(rd(unit,X10),X10)) = X11]. % 2.75/3.17 [82=demod(66),[76,76], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,rd(rd(X10,rd(rd(unit,X11),X11)),X11)),rd(rd(X10,rd(rd(unit,X11),X11)),X11))),rd(rd(X10,rd(rd(unit,X11),X11)),X11)),X11) = rd(rd(unit,X10),X10)]. % 2.75/3.17 [85=demod(73),[76], % 2.75/3.17 rd(rd(X10,rd(rd(unit,X11),X11)),rd(rd(X11,rd(rd(unit,X10),X10)),X10)) = X11]. % 2.75/3.17 [88=demod(70),[76,76,76], % 2.75/3.17 rd(rd(rd(rd(unit,X10),X10),rd(rd(unit,X11),X11)),X11) = rd(rd(X10,rd(rd(unit,rd(rd(X10,rd(rd(unit,X11),X11)),X11)),rd(rd(X10,rd(rd(unit,X11),X11)),X11))),rd(rd(X10,rd(rd(unit,X11),X11)),X11))]. % 2.75/3.17 [91=demod(72),[76,76,76,76], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,X11),X11)),rd(rd(unit,X12),X12)),X12) = rd(rd(X10,rd(rd(unit,rd(rd(X11,rd(rd(unit,rd(rd(X11,rd(rd(unit,X12),X12)),X12)),rd(rd(X11,rd(rd(unit,X12),X12)),X12))),rd(rd(X11,rd(rd(unit,X12),X12)),X12))),rd(rd(X11,rd(rd(unit,rd(rd(X11,rd(rd(unit,X12),X12)),X12)),rd(rd(X11,rd(rd(unit,X12),X12)),X12))),rd(rd(X11,rd(rd(unit,X12),X12)),X12)))),rd(rd(X11,rd(rd(unit,rd(rd(X11,rd(rd(unit,X12),X12)),X12)),rd(rd(X11,rd(rd(unit,X12),X12)),X12))),rd(rd(X11,rd(rd(unit,X12),X12)),X12)))]. % 2.75/3.17 [93=demod(48),[76,76,80], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,X11),X11)),X11),rd(rd(unit,X11),X11)) = rd(X10,X11)]. % 2.75/3.17 [97=demod(38),[76,76,80,76,-71,26,23,76,80,76,-71,26,23,76], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,X11),X11)),X11),rd(rd(unit,X10),X10)) = rd(rd(X10,rd(rd(unit,rd(X11,rd(rd(unit,X10),X10))),rd(X11,rd(rd(unit,X10),X10)))),rd(X11,rd(rd(unit,X10),X10)))]. % 2.75/3.17 [98=demod(81),[97], % 2.75/3.17 rd(rd(X10,rd(rd(unit,rd(rd(rd(X10,rd(rd(unit,X11),X11)),X11),rd(rd(unit,X10),X10))),rd(rd(rd(X10,rd(rd(unit,X11),X11)),X11),rd(rd(unit,X10),X10)))),rd(rd(rd(X10,rd(rd(unit,X11),X11)),X11),rd(rd(unit,X10),X10))) = X11]. % 2.75/3.17 [99=demod(37),[76,80,76,-71,26,23,76], % 2.75/3.17 ld(X10,rd(X11,rd(rd(unit,X10),X10))) = rd(rd(X10,rd(rd(unit,X11),X11)),X11)]. % 2.75/3.17 [100=demod(19),[76,76,76,80,76,-71,26,23], % 2.75/3.17 rd(rd(X10,rd(rd(unit,rd(rd(X10,rd(rd(unit,X11),X11)),X11)),rd(rd(X10,rd(rd(unit,X11),X11)),X11))),rd(rd(X10,rd(rd(unit,X11),X11)),X11)) = rd(X11,rd(rd(unit,X10),X10))]. % 2.75/3.17 [101=demod(88),[100], % 2.75/3.17 rd(rd(rd(rd(unit,X10),X10),rd(rd(unit,X11),X11)),X11) = rd(X11,rd(rd(unit,X10),X10))]. % 2.75/3.17 [103=demod(82),[100], % 2.75/3.17 rd(rd(X10,rd(rd(unit,X11),X11)),X10) = rd(rd(unit,X11),X11)]. % 2.75/3.17 [104=demod(91),[100,100,100], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,X11),X11)),rd(rd(unit,X12),X12)),X12) = rd(rd(X10,rd(rd(unit,rd(X12,rd(rd(unit,X11),X11))),rd(X12,rd(rd(unit,X11),X11)))),rd(X12,rd(rd(unit,X11),X11)))]. % 2.75/3.17 [105=demod(98),[-104], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,X10),X10)),rd(rd(unit,rd(rd(X10,rd(rd(unit,X11),X11)),X11)),rd(rd(X10,rd(rd(unit,X11),X11)),X11))),rd(rd(X10,rd(rd(unit,X11),X11)),X11)) = X11]. % 2.75/3.17 [108=demod(47),[76,76,103,76,-71,26,23,93,76,103,76,-71,26,23,76], % 2.75/3.17 rd(rd(X10,rd(rd(unit,rd(X11,rd(rd(unit,X11),X11))),rd(X11,rd(rd(unit,X11),X11)))),rd(X11,rd(rd(unit,X11),X11))) = rd(X10,X11)]. % 2.75/3.17 [112=demod(42),[76,103,76,-71,26,23,76], % 2.75/3.17 rd(rd(X10,rd(rd(unit,X11),X11)),X11) = rd(rd(X10,X11),rd(rd(unit,X11),X11))]. % 2.75/3.17 [114=demod(101),[112], % 2.75/3.17 rd(rd(rd(rd(unit,X10),X10),X11),rd(rd(unit,X11),X11)) = rd(X11,rd(rd(unit,X10),X10))]. % 2.75/3.17 [116=demod(99),[112], % 2.75/3.17 ld(X10,rd(X11,rd(rd(unit,X10),X10))) = rd(rd(X10,X11),rd(rd(unit,X11),X11))]. % 2.75/3.17 [117=demod(77),[112], % 2.75/3.17 ld(X10,rd(rd(X10,X11),rd(rd(unit,X11),X11))) = X11]. % 2.75/3.17 [118=demod(76),[112], % 2.75/3.17 mult(X10,X11) = rd(rd(X10,X11),rd(rd(unit,X11),X11))]. % 2.75/3.17 [120=demod(100),[112,112,112,112], % 2.75/3.17 rd(rd(X10,rd(rd(X10,X11),rd(rd(unit,X11),X11))),rd(rd(unit,rd(rd(X10,X11),rd(rd(unit,X11),X11))),rd(rd(X10,X11),rd(rd(unit,X11),X11)))) = rd(X11,rd(rd(unit,X10),X10))]. % 2.75/3.17 [122=demod(108),[112], % 2.75/3.17 rd(rd(X10,rd(X11,rd(rd(unit,X11),X11))),rd(rd(unit,rd(X11,rd(rd(unit,X11),X11))),rd(X11,rd(rd(unit,X11),X11)))) = rd(X10,X11)]. % 2.75/3.17 [123=demod(85),[112], % 2.75/3.17 rd(rd(X10,rd(rd(unit,X11),X11)),rd(rd(X11,X10),rd(rd(unit,X10),X10))) = X11]. % 2.75/3.17 [125=demod(105),[112,112,112,112], % 2.75/3.17 rd(rd(rd(X10,rd(rd(unit,X10),X10)),rd(rd(X10,X11),rd(rd(unit,X11),X11))),rd(rd(unit,rd(rd(X10,X11),rd(rd(unit,X11),X11))),rd(rd(X10,X11),rd(rd(unit,X11),X11)))) = X11]. % 2.75/3.17 [127=param(69,24),[], % 2.75/3.17 rd(rd(unit,X10),rd(rd(unit,X10),X10)) = X10]. % 2.75/3.17 [131=param(71,26),[], % 2.75/3.17 rd(X10,rd(rd(unit,X10),X10)) = rd(unit,X10)]. % 2.75/3.17 [132=demod(125),[131], % 2.75/3.17 rd(rd(rd(unit,X10),rd(rd(X10,X11),rd(rd(unit,X11),X11))),rd(rd(unit,rd(rd(X10,X11),rd(rd(unit,X11),X11))),rd(rd(X10,X11),rd(rd(unit,X11),X11)))) = X11]. % 2.75/3.17 [133=demod(122),[131,131,64,131], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(X11,rd(unit,X11))) = rd(X10,X11)]. % 2.75/3.17 [135=param(71,64),[64], % 2.75/3.17 rd(unit,rd(X10,rd(unit,X10))) = rd(X10,rd(unit,X10))]. % 2.75/3.17 [140=param(103,127),[], % 2.75/3.17 rd(rd(unit,X10),X10) = rd(X10,rd(unit,X10))]. % 2.75/3.17 [143=demod(118),[140], % 2.75/3.17 mult(X10,X11) = rd(rd(X10,X11),rd(X11,rd(unit,X11)))]. % 2.75/3.17 [144=demod(117),[140], % 2.75/3.17 ld(X10,rd(rd(X10,X11),rd(X11,rd(unit,X11)))) = X11]. % 2.75/3.17 [146=demod(112),[140,140], % 2.75/3.17 rd(rd(X10,rd(X11,rd(unit,X11))),X11) = rd(rd(X10,X11),rd(X11,rd(unit,X11)))]. % 2.75/3.17 [148=demod(71),[140], % 2.75/3.17 rd(rd(X10,X11),X11) = rd(X10,rd(X11,rd(unit,X11)))]. % 2.75/3.17 [149=demod(123),[148,135,148,135], % 2.75/3.17 rd(rd(X10,rd(X11,rd(unit,X11))),rd(rd(X11,X10),rd(X10,rd(unit,X10)))) = X11]. % 2.75/3.17 [150=demod(116),[148,135,148,135], % 2.75/3.17 ld(X10,rd(X11,rd(X10,rd(unit,X10)))) = rd(rd(X10,X11),rd(X11,rd(unit,X11)))]. % 2.75/3.17 [151=demod(114),[148,135,148,135,148,135], % 2.75/3.17 rd(rd(rd(X10,rd(unit,X10)),X11),rd(X11,rd(unit,X11))) = rd(X11,rd(X10,rd(unit,X10)))]. % 2.75/3.17 [155=demod(132),[148,135,148,135,148,135,148,135], % 2.75/3.17 rd(rd(rd(unit,X10),rd(rd(X10,X11),rd(X11,rd(unit,X11)))),rd(rd(rd(X10,X11),rd(X11,rd(unit,X11))),rd(unit,rd(rd(X10,X11),rd(X11,rd(unit,X11)))))) = X11]. % 2.75/3.17 [156=demod(120),[148,135,148,135,148,135,148,135,148,135], % 2.75/3.17 rd(rd(X10,rd(rd(X10,X11),rd(X11,rd(unit,X11)))),rd(rd(rd(X10,X11),rd(X11,rd(unit,X11))),rd(unit,rd(rd(X10,X11),rd(X11,rd(unit,X11)))))) = rd(X11,rd(X10,rd(unit,X10)))]. % 2.75/3.17 [162=param(133,27),[63,63,64,148,135,63], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(unit,X11))) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [163=demod(149),[162], % 2.75/3.17 rd(rd(X10,rd(X11,rd(unit,X11))),rd(X11,rd(unit,X10))) = X11]. % 2.75/3.17 [166=demod(151),[162], % 2.75/3.17 rd(rd(X10,rd(unit,X10)),rd(unit,X11)) = rd(X11,rd(X10,rd(unit,X10)))]. % 2.75/3.17 [170=demod(156),[162,162,162,162], % 2.75/3.17 rd(X10,rd(unit,rd(X10,rd(unit,X11)))) = rd(X11,rd(X10,rd(unit,X10)))]. % 2.75/3.17 [171=demod(162),[], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(unit,X11))) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [172=demod(133),[], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(X11,rd(unit,X11))) = rd(X10,X11)]. % 2.75/3.17 [173=demod(155),[171,171,171,171], % 2.75/3.17 rd(rd(unit,X10),rd(unit,rd(X10,rd(unit,X11)))) = X11]. % 2.75/3.17 [175=demod(150),[171], % 2.75/3.17 ld(X10,rd(X11,rd(X10,rd(unit,X10)))) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [176=demod(146),[171], % 2.75/3.17 rd(rd(X10,rd(X11,rd(unit,X11))),X11) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [177=demod(144),[171], % 2.75/3.17 ld(X10,rd(X10,rd(unit,X11))) = X11]. % 2.75/3.17 [178=demod(143),[171], % 2.75/3.17 mult(X10,X11) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [179=param(11,178),[178,178,178], % 2.75/3.17 thtop(rd(rd(a,rd(unit,b)),rd(unit,a)),rd(a,rd(unit,rd(b,rd(unit,a))))) = thmtrue]. % 2.75/3.17 [180=param(177,27),[63], % 2.75/3.17 ld(X10,rd(X10,X11)) = rd(unit,X11)]. % 2.75/3.17 [184=param(148,176),[148,135,26,23], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),X11) = X10]. % 2.75/3.17 [185=param(184,27),[63], % 2.75/3.17 rd(rd(X10,X11),rd(unit,X11)) = X10]. % 2.75/3.17 [187=param(163,27),[63], % 2.75/3.17 rd(rd(rd(unit,X10),rd(X11,rd(unit,X11))),rd(X11,X10)) = X11]. % 2.75/3.17 [189=param(163,184),[135], % 2.75/3.17 rd(X10,rd(X11,rd(unit,rd(X10,rd(X11,rd(unit,X11)))))) = X11]. % 2.75/3.17 [192=param(175,184),[135], % 2.75/3.17 ld(X10,X11) = rd(X10,rd(unit,rd(X11,rd(X10,rd(unit,X10)))))]. % 2.75/3.17 [193=demod(180),[192], % 2.75/3.17 rd(X10,rd(unit,rd(rd(X10,X11),rd(X10,rd(unit,X10))))) = rd(unit,X11)]. % 2.75/3.17 [202=param(173,64),[], % 2.75/3.17 rd(rd(unit,X10),rd(unit,rd(X10,X11))) = rd(unit,X11)]. % 2.75/3.17 [203=param(202,64),[], % 2.75/3.17 rd(X10,rd(unit,rd(rd(unit,X10),X11))) = rd(unit,X11)]. % 2.75/3.17 [205=param(184,202),[], % 2.75/3.17 rd(rd(unit,X10),rd(X11,X10)) = rd(unit,X11)]. % 2.75/3.17 [207=param(205,64),[], % 2.75/3.17 rd(X10,rd(X11,rd(unit,X10))) = rd(unit,X11)]. % 2.75/3.17 [208=param(202,205),[64,64], % 2.75/3.17 rd(X10,X11) = rd(unit,rd(X11,X10))]. % 2.75/3.17 [209=demod(148),[208], % 2.75/3.17 rd(unit,rd(X10,rd(X11,X10))) = rd(X11,rd(X10,rd(unit,X10)))]. % 2.75/3.17 [210=demod(172),[], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(X11,rd(unit,X11))) = rd(X10,X11)]. % 2.75/3.17 [211=demod(171),[], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(unit,X11))) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [213=demod(193),[], % 2.75/3.17 rd(X10,rd(unit,rd(rd(X10,X11),rd(X10,rd(unit,X10))))) = rd(unit,X11)]. % 2.75/3.17 [216=demod(184),[208], % 2.75/3.17 rd(unit,rd(X10,rd(X11,rd(unit,X10)))) = X11]. % 2.75/3.17 [219=param(202,208),[], % 2.75/3.17 rd(rd(X10,X11),rd(unit,rd(rd(X11,X10),X12))) = rd(unit,X12)]. % 2.75/3.17 [220=param(205,208),[], % 2.75/3.17 rd(rd(X10,X11),rd(X12,rd(X11,X10))) = rd(unit,X12)]. % 2.75/3.17 [228=param(208,220),[64], % 2.75/3.17 rd(rd(X10,rd(X11,X12)),rd(X12,X11)) = X10]. % 2.75/3.17 [232=param(185,228),[], % 2.75/3.17 rd(X10,rd(unit,rd(X11,X12))) = rd(X10,rd(X12,X11))]. % 2.75/3.17 [233=param(228,187),[], % 2.75/3.17 rd(X10,rd(X11,X10)) = rd(rd(unit,X11),rd(X10,rd(unit,X10)))]. % 2.75/3.17 [234=param(228,207),[23], % 2.75/3.17 rd(rd(X10,X11),rd(X12,rd(X11,rd(unit,X12)))) = X10]. % 2.75/3.17 [235=param(189,208),[], % 2.75/3.17 rd(X10,rd(X11,rd(rd(X11,rd(unit,X11)),X10))) = X11]. % 2.75/3.17 [236=param(235,166),[], % 2.75/3.17 rd(rd(unit,X10),rd(X11,rd(X10,rd(X11,rd(unit,X11))))) = X11]. % 2.75/3.17 [238=param(234,208),[], % 2.75/3.17 rd(rd(unit,rd(X10,X11)),rd(X12,rd(X10,rd(unit,X12)))) = X11]. % 2.75/3.17 [241=param(211,208),[-233,208], % 2.75/3.17 rd(X10,rd(unit,rd(X10,rd(X10,X11)))) = rd(X11,rd(unit,X10))]. % 2.75/3.17 [243=demod(185),[-241], % 2.75/3.17 rd(X10,rd(unit,rd(X10,rd(X10,rd(X11,X10))))) = X11]. % 2.75/3.17 [246=param(243,208),[], % 2.75/3.17 rd(X10,rd(unit,rd(X10,rd(X10,rd(unit,rd(X10,X11)))))) = X11]. % 2.75/3.17 [247=param(228,243),[23], % 2.75/3.17 rd(X10,rd(X11,rd(X11,rd(X10,X11)))) = X11]. % 2.75/3.17 [248=param(247,208),[], % 2.75/3.17 rd(X10,rd(X11,rd(X11,rd(unit,rd(X11,X10))))) = X11]. % 2.75/3.17 [250=param(248,207),[64], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(X11,rd(X11,X10))) = X11]. % 2.75/3.17 [252=param(208,250),[], % 2.75/3.17 rd(rd(X10,rd(X10,X11)),rd(X11,rd(unit,X10))) = rd(unit,X10)]. % 2.75/3.17 [256=param(232,208),[], % 2.75/3.17 rd(X10,rd(unit,rd(X11,X12))) = rd(unit,rd(rd(X12,X11),X10))]. % 2.75/3.17 [259=param(228,252),[], % 2.75/3.17 rd(rd(unit,X10),rd(rd(unit,X10),X11)) = rd(X10,rd(X10,X11))]. % 2.75/3.17 [260=param(202,219),[64,64], % 2.75/3.17 rd(rd(unit,rd(X10,X11)),X12) = rd(rd(X11,X10),X12)]. % 2.75/3.17 [261=param(208,209),[23], % 2.75/3.17 rd(unit,rd(X10,rd(X11,rd(unit,X11)))) = rd(X11,rd(X10,X11))]. % 2.75/3.17 [262=demod(213),[261,208], % 2.75/3.17 rd(X10,rd(X10,rd(unit,rd(X10,rd(X10,X11))))) = rd(unit,X11)]. % 2.75/3.17 [267=param(208,209),[64], % 2.75/3.17 rd(X10,rd(X11,X10)) = rd(rd(X10,rd(unit,X10)),X11)]. % 2.75/3.17 [269=param(267,208),[], % 2.75/3.17 rd(rd(X10,rd(unit,X10)),X11) = rd(X10,rd(unit,rd(X10,X11)))]. % 2.75/3.17 [270=param(163,210),[], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(unit,rd(X10,rd(unit,X11))))) = X11]. % 2.75/3.17 [284=param(236,210),[], % 2.75/3.17 rd(rd(unit,rd(X10,rd(unit,X11))),rd(X11,rd(X10,X11))) = X11]. % 2.75/3.17 [287=param(284,260),[], % 2.75/3.17 rd(rd(rd(unit,X10),X11),rd(X10,rd(X11,X10))) = X10]. % 2.75/3.17 [288=param(208,287),[], % 2.75/3.17 rd(rd(X10,rd(X11,X10)),rd(rd(unit,X10),X11)) = rd(unit,X10)]. % 2.75/3.17 [290=param(238,207),[64], % 2.75/3.17 rd(X10,rd(X11,rd(X12,rd(unit,X11)))) = rd(X10,rd(unit,X12))]. % 2.75/3.17 [291=param(238,259),[64], % 2.75/3.17 rd(rd(X11,X10),rd(rd(X11,X10),rd(X11,rd(X11,X10)))) = X10]. % 2.75/3.17 [292=param(228,288),[], % 2.75/3.17 rd(rd(unit,X10),rd(X11,rd(unit,X10))) = rd(X10,rd(X11,X10))]. % 2.75/3.17 [308=param(208,269),[], % 2.75/3.17 rd(unit,rd(X10,rd(unit,rd(X10,X11)))) = rd(X11,rd(X10,rd(unit,X10)))]. % 2.75/3.17 [310=demod(210),[], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(X11,rd(unit,X11))) = rd(X10,X11)]. % 2.75/3.17 [311=demod(211),[], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(unit,X11))) = rd(X10,rd(unit,X11))]. % 2.75/3.17 [323=param(311,208),[269], % 2.75/3.17 rd(X10,rd(unit,X11)) = rd(unit,rd(X11,rd(unit,rd(X11,rd(X10,X11)))))]. % 2.75/3.17 [324=param(208,311),[269], % 2.75/3.17 rd(unit,rd(X10,rd(unit,X11))) = rd(X11,rd(unit,rd(X11,rd(X10,X11))))]. % 2.75/3.17 [331=param(292,220),[23,23], % 2.75/3.17 rd(rd(X10,X11),rd(rd(X11,X10),rd(X10,X11))) = rd(unit,rd(X10,X11))]. % 2.75/3.17 [340=param(203,170),[64,135], % 2.75/3.17 rd(X10,rd(unit,rd(X11,rd(unit,rd(X11,X10))))) = rd(X11,rd(unit,X11))]. % 2.75/3.17 [344=param(259,202),[], % 2.75/3.17 rd(rd(unit,X10),rd(unit,X11)) = rd(X10,rd(X10,rd(unit,rd(X10,X11))))]. % 2.75/3.17 [349=demod(291),[], % 2.75/3.17 rd(rd(X10,X11),rd(rd(X10,X11),rd(X10,rd(X10,X11)))) = X11]. % 2.75/3.17 [350=param(203,259),[], % 2.75/3.17 rd(unit,rd(rd(unit,X10),X11)) = rd(X10,rd(unit,rd(X10,rd(X10,X11))))]. % 2.75/3.17 [352=demod(228),[], % 2.75/3.17 rd(rd(X10,rd(X11,X12)),rd(X12,X11)) = X10]. % 2.75/3.17 [356=param(208,350),[23], % 2.75/3.17 rd(rd(unit,X10),X11) = rd(unit,rd(X10,rd(unit,rd(X10,rd(X10,X11)))))]. % 2.75/3.17 [382=demod(344),[356], % 2.75/3.17 rd(unit,rd(X10,rd(unit,rd(X10,rd(X10,rd(unit,X11)))))) = rd(X10,rd(X10,rd(unit,rd(X10,X11))))]. % 2.75/3.17 [409=param(352,209),[23], % 2.75/3.17 rd(rd(X10,rd(X11,rd(X12,X11))),rd(X12,rd(X11,rd(unit,X11)))) = X10]. % 2.75/3.17 [410=param(248,209),[64,269], % 2.75/3.17 rd(X10,rd(unit,rd(X10,rd(X11,rd(X11,rd(X10,rd(X11,X10))))))) = X11]. % 2.75/3.17 [412=param(219,209),[64,135], % 2.75/3.17 rd(rd(X10,X11),rd(X12,rd(rd(X11,X10),X12))) = rd(X12,rd(unit,X12))]. % 2.75/3.17 [417=param(234,349),[207], % 2.75/3.17 rd(X10,rd(unit,rd(rd(X11,X10),rd(X11,rd(X11,X10))))) = rd(X11,X10)]. % 2.75/3.17 [418=param(340,207),[64], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(unit,rd(X11,X10))) = rd(X11,rd(unit,X11))]. % 2.75/3.17 [422=param(219,331),[64], % 2.75/3.17 rd(unit,rd(rd(X10,X11),rd(X11,X10))) = rd(rd(X10,X11),rd(X11,X10))]. % 2.75/3.17 [434=param(208,290),[], % 2.75/3.17 rd(unit,rd(X10,rd(unit,X11))) = rd(rd(X12,rd(X11,rd(unit,X12))),X10)]. % 2.75/3.17 [439=param(417,209),[], % 2.75/3.17 rd(X10,rd(X11,rd(rd(X11,X10),rd(unit,rd(X11,X10))))) = rd(X11,X10)]. % 2.75/3.17 [442=param(439,256),[422], % 2.75/3.17 rd(X10,rd(X11,rd(rd(X10,X11),rd(X11,X10)))) = rd(X11,X10)]. % 2.75/3.17 [449=param(246,410),[], % 2.75/3.17 rd(X10,rd(unit,rd(X10,X11))) = rd(X11,rd(X11,rd(X10,rd(X11,X10))))]. % 2.75/3.17 [457=param(449,208),[64], % 2.75/3.17 rd(X11,rd(X11,rd(X10,rd(X11,X10)))) = rd(X10,rd(X11,X10))]. % 2.75/3.17 [461=param(270,434),[], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(rd(X12,rd(X11,rd(unit,X12))),X10))) = X11]. % 2.75/3.17 [462=param(461,412),[208,216,208,356,409,208,457,64,208,64], % 2.75/3.17 rd(rd(X10,rd(X11,X10)),rd(X11,rd(X10,rd(X11,X10)))) = X11]. % 2.75/3.17 [464=param(234,462),[207], % 2.75/3.17 rd(X10,rd(unit,rd(X10,rd(X11,rd(X10,X11))))) = rd(X11,rd(X10,X11))]. % 2.75/3.17 [468=param(179,207),[323,208,382,-208], % 2.75/3.17 thtop(rd(unit,rd(a,rd(a,rd(a,rd(b,a))))),rd(a,rd(unit,rd(b,rd(X10,rd(a,rd(unit,X10))))))) = thmtrue]. % 2.75/3.17 [471=param(269,64),[208,135,269,356,64,356,262], % 2.75/3.17 rd(unit,rd(X10,rd(unit,rd(X10,rd(unit,X11))))) = rd(X10,rd(unit,rd(X10,X11)))]. % 2.75/3.17 [500=demod(310),[], % 2.75/3.17 rd(rd(X10,rd(unit,X11)),rd(X11,rd(unit,X11))) = rd(X10,X11)]. % 2.75/3.17 [510=param(262,457),[464], % 2.75/3.17 rd(unit,rd(X10,rd(X11,rd(X10,X11)))) = rd(X10,rd(X11,rd(X10,X11)))]. % 2.75/3.17 [520=param(418,457),[323,208,457,471,510,457], % 2.75/3.17 rd(rd(X10,rd(X11,X10)),rd(unit,rd(X10,rd(X11,X10)))) = rd(X11,rd(unit,X11))]. % 2.75/3.17 [523=param(207,209),[], % 2.75/3.17 rd(rd(X10,rd(X11,X10)),rd(X12,rd(X11,rd(X10,rd(unit,X10))))) = rd(unit,X12)]. % 2.75/3.17 [570=param(442,261),[208,356,523,23,23,520,135], % 2.75/3.17 rd(rd(X10,X11),rd(X11,rd(X10,rd(unit,X10)))) = rd(X11,rd(X10,X11))]. % 2.75/3.17 [590=param(270,308),[570], % 2.75/3.17 rd(rd(X10,rd(X10,X11)),rd(X11,rd(X10,X11))) = rd(X10,X11)]. % 2.75/3.17 [596=param(352,590),[208], % 2.75/3.17 rd(rd(X10,X11),rd(unit,rd(X11,rd(X10,X11)))) = rd(X10,rd(X10,X11))]. % 2.75/3.17 [599=param(596,209),[], % 2.75/3.17 rd(rd(X10,X11),rd(X10,rd(X11,rd(unit,X11)))) = rd(X10,rd(X10,X11))]. % 2.75/3.17 [607=param(599,500),[208,216,208,216,208], % 2.75/3.17 rd(unit,rd(X10,rd(X10,rd(unit,X11)))) = rd(X10,rd(X10,X11))]. % 2.75/3.17 [608=demod(246),[607], % 2.75/3.17 rd(X10,rd(X10,rd(X10,rd(X10,X11)))) = X11]. % 2.75/3.17 [612=demod(382),[607], % 2.75/3.17 rd(unit,rd(X10,rd(X10,rd(X10,X11)))) = rd(X10,rd(X10,rd(unit,rd(X10,X11))))]. % 2.75/3.17 [634=param(468,608),[612,209,64,208,323,208,-323,216,324,209,10], % 2.75/3.17 thmtrue = thmfalse]. % 2.75/3.17 % SZS output end CNFRefutation % 2.75/3.17 Space: 18029 KB %------------------------------------------------------------------------------