%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n018.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 : Thu Jul 14 23:38:46 EDT 2022 % Result : Unsatisfiable 1.17s 1.56s % Output : CNFRefutation 1.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 1 17:07:44 EDT 2022 % 0.13/0.35 % CPUTime : % 1.17/1.56 Theorem Proved. % 1.17/1.56 % SZS status Unsatisfiable % 1.17/1.56 % SZS output start CNFRefutation % 1.17/1.56 [1=axiom,[], % 1.17/1.56 add(additive_identity,X10) = X10]. % 1.17/1.56 [2=axiom,[], % 1.17/1.56 add(X10,additive_identity) = X10]. % 1.17/1.56 [3=axiom,[], % 1.17/1.56 multiply(multiplicative_identity,X10) = X10]. % 1.17/1.56 [4=axiom,[], % 1.17/1.56 multiply(X10,multiplicative_identity) = X10]. % 1.17/1.56 [6=axiom,[], % 1.17/1.56 multiply(X10,inverse(X10)) = additive_identity]. % 1.17/1.56 [8=axiom,[], % 1.17/1.56 add(X10,inverse(X10)) = multiplicative_identity]. % 1.17/1.56 [9=axiom,[], % 1.17/1.56 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))]. % 1.17/1.56 [11=axiom,[], % 1.17/1.56 add(X10,multiply(X11,X12)) = multiply(add(X10,X11),add(X10,X12))]. % 1.17/1.56 [12=demod(9),[11], % 1.17/1.56 multiply(add(multiply(X10,X11),X10),add(multiply(X10,X11),X12)) = multiply(X10,add(X11,X12))]. % 1.17/1.56 [14=axiom,[], % 1.17/1.56 add(multiply(X10,X11),X12) = multiply(add(X10,X12),add(X11,X12))]. % 1.17/1.56 [15=demod(12),[14,14], % 1.17/1.56 multiply(multiply(add(X10,X10),add(X11,X10)),multiply(add(X10,X12),add(X11,X12))) = multiply(X10,add(X11,X12))]. % 1.17/1.56 [17=axiom,[], % 1.17/1.56 multiply(X10,X11) = multiply(X11,X10)]. % 1.17/1.56 [18=axiom,[], % 1.17/1.56 add(X10,X11) = add(X11,X10)]. % 1.17/1.56 [19=axiom,[], % 1.17/1.56 thtop(X10,X10) = thmfalse]. % 1.17/1.56 [20=axiom,[18,18,18], % 1.17/1.56 thtop(add(a,add(c,b)),add(c,add(b,a))) = thmtrue]. % 1.17/1.56 [21=param(8,1),[], % 1.17/1.56 inverse(additive_identity) = multiplicative_identity]. % 1.17/1.56 [23=param(11,3),[], % 1.17/1.56 multiply(add(X10,multiplicative_identity),add(X10,X11)) = add(X10,X11)]. % 1.17/1.56 [25=param(11,6),[2], % 1.17/1.56 multiply(add(X10,X11),add(X10,inverse(X11))) = X10]. % 1.17/1.56 [26=param(11,18),[14], % 1.17/1.56 multiply(add(X10,X11),add(X10,X12)) = multiply(add(X11,X10),add(X12,X10))]. % 1.17/1.56 [28=param(25,8),[3], % 1.17/1.56 add(X10,inverse(inverse(X10))) = X10]. % 1.17/1.56 [29=param(25,8),[4], % 1.17/1.56 add(X10,X10) = X10]. % 1.17/1.56 [30=demod(15),[29], % 1.17/1.56 multiply(multiply(X10,add(X11,X10)),multiply(add(X10,X12),add(X11,X12))) = multiply(X10,add(X11,X12))]. % 1.17/1.56 [32=param(25,18),[], % 1.17/1.56 multiply(add(X10,X11),add(X11,inverse(X10))) = X11]. % 1.17/1.56 [33=param(25,18),[], % 1.17/1.56 multiply(add(X10,X11),add(inverse(X11),X10)) = X10]. % 1.17/1.56 [36=param(14,6),[1], % 1.17/1.56 multiply(add(X11,X10),add(inverse(X11),X10)) = X10]. % 1.17/1.56 [37=param(14,8),[], % 1.17/1.56 multiply(add(X10,inverse(multiply(X10,X11))),add(X11,inverse(multiply(X10,X11)))) = multiplicative_identity]. % 1.17/1.56 [40=param(23,8),[4,8], % 1.17/1.56 add(X10,multiplicative_identity) = multiplicative_identity]. % 1.17/1.56 [42=param(26,2),[1], % 1.17/1.56 multiply(X10,add(X10,X11)) = multiply(X10,add(X11,X10))]. % 1.17/1.56 [49=param(36,8),[28,4], % 1.17/1.56 inverse(inverse(X10)) = X10]. % 1.17/1.56 [52=param(30,2),[2,17,2], % 1.17/1.56 multiply(multiply(X10,X11),multiply(X10,add(X11,X10))) = multiply(X10,X11)]. % 1.17/1.56 [53=param(30,8),[4,17,36], % 1.17/1.56 multiply(inverse(X10),add(X10,X11)) = multiply(inverse(X10),X11)]. % 1.17/1.56 [56=param(30,36),[18,8,4], % 1.17/1.56 multiply(X10,add(inverse(X10),X11)) = multiply(X10,X11)]. % 1.17/1.56 [57=param(30,40),[40,3,4,40,4], % 1.17/1.56 multiply(X10,add(X11,X10)) = X10]. % 1.17/1.56 [59=demod(52),[57,17], % 1.17/1.56 multiply(X10,multiply(X10,X11)) = multiply(X10,X11)]. % 1.17/1.56 [60=demod(42),[57], % 1.17/1.56 multiply(X10,add(X10,X11)) = X10]. % 1.17/1.56 [61=demod(30),[57], % 1.17/1.56 multiply(X10,multiply(add(X10,X11),add(X12,X11))) = multiply(X10,add(X12,X11))]. % 1.17/1.56 [69=param(60,14),[], % 1.17/1.56 multiply(multiply(X10,X11),multiply(add(X10,X12),add(X11,X12))) = multiply(X10,X11)]. % 1.17/1.56 [70=param(14,60),[], % 1.17/1.56 multiply(add(X10,X11),add(add(X10,X12),X11)) = add(X10,X11)]. % 1.17/1.56 [77=param(14,57),[], % 1.17/1.56 multiply(add(X10,X11),add(add(X12,X10),X11)) = add(X10,X11)]. % 1.17/1.56 [81=param(59,37),[4,37], % 1.17/1.56 add(X10,inverse(multiply(X10,X11))) = multiplicative_identity]. % 1.17/1.56 [82=demod(37),[81,3], % 1.17/1.56 add(X10,inverse(multiply(X11,X10))) = multiplicative_identity]. % 1.17/1.56 [83=param(32,82),[18,3], % 1.17/1.56 add(inverse(X10),inverse(multiply(X11,X10))) = inverse(multiply(X11,X10))]. % 1.17/1.56 [89=param(81,25),[18], % 1.17/1.56 add(inverse(X10),add(X10,X11)) = multiplicative_identity]. % 1.17/1.56 [92=param(81,32),[18], % 1.17/1.56 add(inverse(X10),add(X11,X10)) = multiplicative_identity]. % 1.17/1.56 [93=param(32,81),[18,3], % 1.17/1.56 add(inverse(X10),inverse(multiply(X10,X11))) = inverse(multiply(X10,X11))]. % 1.17/1.56 [94=param(33,81),[18,4], % 1.17/1.56 add(X10,inverse(multiply(inverse(X10),X11))) = inverse(multiply(inverse(X10),X11))]. % 1.17/1.56 [97=param(25,92),[3], % 1.17/1.56 add(inverse(X10),inverse(add(X11,X10))) = inverse(X10)]. % 1.17/1.56 [99=param(92,49),[], % 1.17/1.56 add(X10,add(X11,inverse(X10))) = multiplicative_identity]. % 1.17/1.56 [105=param(25,99),[3], % 1.17/1.56 add(X10,inverse(add(X11,inverse(X10)))) = X10]. % 1.17/1.56 [109=param(32,89),[49,18,3], % 1.17/1.56 add(X10,add(X10,X11)) = add(X10,X11)]. % 1.17/1.56 [110=param(89,49),[], % 1.17/1.56 add(X10,add(inverse(X10),X11)) = multiplicative_identity]. % 1.17/1.56 [111=param(25,110),[3], % 1.17/1.56 add(X10,inverse(add(inverse(X10),X11))) = X10]. % 1.17/1.56 [115=param(32,111),[18,56], % 1.17/1.56 multiply(X10,inverse(add(inverse(X10),X11))) = inverse(add(inverse(X10),X11))]. % 1.17/1.56 [119=param(53,18),[], % 1.17/1.56 multiply(inverse(X10),add(X11,X10)) = multiply(inverse(X10),X11)]. % 1.17/1.56 [121=param(53,81),[4], % 1.17/1.56 multiply(inverse(X10),inverse(multiply(X10,X11))) = inverse(X10)]. % 1.17/1.56 [125=param(56,18),[], % 1.17/1.56 multiply(X10,add(X11,inverse(X10))) = multiply(X10,X11)]. % 1.17/1.56 [132=param(56,111),[6,49], % 1.17/1.56 multiply(X10,inverse(add(X10,X11))) = additive_identity]. % 1.17/1.56 [135=param(132,14),[], % 1.17/1.56 multiply(multiply(X10,X11),inverse(multiply(add(X10,X12),add(X11,X12)))) = additive_identity]. % 1.17/1.56 [136=param(14,132),[1], % 1.17/1.56 multiply(add(X11,X10),add(inverse(add(X11,X12)),X10)) = X10]. % 1.17/1.56 [139=param(61,26),[], % 1.17/1.56 multiply(X10,multiply(add(X11,X10),add(X11,X12))) = multiply(X10,add(X12,X11))]. % 1.17/1.56 [143=param(61,105),[17,105], % 1.17/1.56 multiply(X10,multiply(X11,add(X10,inverse(add(X12,inverse(X11)))))) = multiply(X10,X11)]. % 1.17/1.56 [211=param(70,81),[3,81], % 1.17/1.56 add(add(X10,X11),inverse(multiply(X10,X12))) = multiplicative_identity]. % 1.17/1.56 [263=param(77,110),[3,110], % 1.17/1.56 add(add(X10,X11),add(inverse(X11),X12)) = multiplicative_identity]. % 1.17/1.56 [271=param(33,263),[3], % 1.17/1.56 add(inverse(add(inverse(X10),X11)),add(X12,X10)) = add(X12,X10)]. % 1.17/1.56 [291=param(69,83),[17,57], % 1.17/1.56 multiply(multiply(X10,inverse(X11)),inverse(multiply(X12,X11))) = multiply(X10,inverse(X11))]. % 1.17/1.56 [404=param(25,94),[49,11,8,3], % 1.17/1.56 multiply(inverse(multiply(inverse(X10),X11)),add(X10,X11)) = X10]. % 1.17/1.56 [407=param(69,94),[57], % 1.17/1.56 multiply(multiply(X10,X11),inverse(multiply(inverse(X10),X12))) = multiply(X10,X11)]. % 1.17/1.56 [445=param(36,211),[3], % 1.17/1.56 add(inverse(add(X10,X11)),inverse(multiply(X10,X12))) = inverse(multiply(X10,X12))]. % 1.17/1.56 [602=param(135,93),[57,49], % 1.17/1.56 multiply(multiply(inverse(X10),X11),multiply(X10,X12)) = additive_identity]. % 1.17/1.56 [603=param(135,93),[17,57,49], % 1.17/1.56 multiply(multiply(X10,inverse(X11)),multiply(X11,X12)) = additive_identity]. % 1.17/1.56 [613=param(135,109),[17,57], % 1.17/1.56 multiply(multiply(X10,X11),inverse(add(X11,X12))) = additive_identity]. % 1.17/1.56 [634=param(61,136),[], % 1.17/1.56 multiply(X10,add(inverse(add(X10,X12)),X11)) = multiply(X10,X11)]. % 1.17/1.56 [652=param(139,109),[18,109], % 1.17/1.56 multiply(X10,multiply(add(X11,X10),add(X11,X12))) = multiply(X10,add(X11,X12))]. % 1.17/1.56 [702=param(634,18),[], % 1.17/1.56 multiply(X10,add(X11,inverse(add(X10,X12)))) = multiply(X10,X11)]. % 1.17/1.56 [713=param(702,18),[], % 1.17/1.56 multiply(X10,add(X11,inverse(add(X12,X10)))) = multiply(X10,X11)]. % 1.17/1.56 [718=param(713,18),[], % 1.17/1.56 multiply(X10,add(inverse(add(X11,X10)),X12)) = multiply(X10,X12)]. % 1.17/1.56 [723=param(61,718),[17,57,18], % 1.17/1.56 multiply(X10,add(X11,inverse(add(X12,add(X10,X11))))) = multiply(X10,X11)]. % 1.17/1.56 [822=param(404,18),[], % 1.17/1.56 multiply(inverse(multiply(inverse(X10),X11)),add(X11,X10)) = X10]. % 1.17/1.56 [823=param(404,83),[49,17], % 1.17/1.56 multiply(inverse(multiply(X10,X11)),inverse(multiply(X11,inverse(multiply(X10,X11))))) = inverse(X11)]. % 1.17/1.56 [824=param(404,93),[49,17], % 1.17/1.56 multiply(inverse(multiply(X10,X11)),inverse(multiply(X10,inverse(multiply(X10,X11))))) = inverse(X10)]. % 1.17/1.56 [825=param(602,404),[49,17], % 1.17/1.56 multiply(X10,multiply(multiply(inverse(X10),X11),X12)) = additive_identity]. % 1.17/1.56 [835=param(822,97),[49,17,119,17], % 1.17/1.56 inverse(add(X11,X10)) = multiply(inverse(X10),inverse(multiply(inverse(X10),X11)))]. % 1.17/1.56 [847=demod(613),[835], % 1.17/1.56 multiply(multiply(X10,X11),multiply(inverse(X12),inverse(multiply(inverse(X12),X11)))) = additive_identity]. % 1.17/1.56 [883=demod(445),[835,14], % 1.17/1.56 multiply(add(inverse(X10),inverse(multiply(X11,X12))),add(inverse(multiply(inverse(X10),X11)),inverse(multiply(X11,X12)))) = inverse(multiply(X11,X12))]. % 1.17/1.56 [897=demod(271),[835,14], % 1.17/1.56 multiply(add(inverse(X10),add(X11,X12)),add(inverse(multiply(inverse(X10),inverse(X12))),add(X11,X12))) = add(X11,X12)]. % 1.17/1.56 [900=demod(115),[835,835], % 1.17/1.56 multiply(X10,multiply(inverse(X11),inverse(multiply(inverse(X11),inverse(X10))))) = multiply(inverse(X11),inverse(multiply(inverse(X11),inverse(X10))))]. % 1.17/1.56 [904=demod(143),[835,49,49,11,652], % 1.17/1.56 multiply(X10,multiply(X11,add(X10,inverse(multiply(X11,X12))))) = multiply(X10,X11)]. % 1.17/1.56 [915=demod(723),[835,835,835,11,11,8,94,3], % 1.17/1.56 multiply(X10,multiply(inverse(multiply(inverse(X11),X10)),add(X11,inverse(multiply(multiply(inverse(X11),inverse(multiply(inverse(X11),X10))),X12))))) = multiply(X10,X11)]. % 1.17/1.56 [1032=param(822,99),[835,49,49,17,59,4], % 1.17/1.56 add(X11,inverse(X10)) = inverse(multiply(X10,inverse(multiply(X10,X11))))]. % 1.17/1.56 [1041=demod(904),[1032], % 1.17/1.56 multiply(X10,multiply(X11,inverse(multiply(multiply(X11,X12),inverse(multiply(multiply(X11,X12),X10)))))) = multiply(X10,X11)]. % 1.17/1.56 [1068=demod(125),[1032], % 1.17/1.56 multiply(X10,inverse(multiply(X10,inverse(multiply(X10,X11))))) = multiply(X10,X11)]. % 1.17/1.56 [1073=demod(915),[1032,17,825,21,4], % 1.17/1.56 multiply(X10,multiply(inverse(multiply(inverse(X11),X10)),inverse(multiply(multiply(inverse(X11),inverse(multiply(inverse(X11),X10))),X12)))) = multiply(X10,X11)]. % 1.17/1.56 [1090=demod(883),[1032,1032], % 1.17/1.56 multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(multiply(X10,X11),inverse(X12))))),inverse(multiply(multiply(X10,X11),inverse(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X10))))))) = inverse(multiply(X10,X11))]. % 1.17/1.56 [1119=param(822,110),[835,17,900,4], % 1.17/1.56 add(inverse(X11),X10) = inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),inverse(X11)))))]. % 1.17/1.56 [1217=demod(897),[1119,835,835,1119,835,835,1090], % 1.17/1.56 add(X11,X10) = inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),X11))))]. % 1.17/1.56 [1524=param(407,17),[], % 1.17/1.56 multiply(inverse(multiply(inverse(X10),X12)),multiply(X10,X11)) = multiply(X10,X11)]. % 1.17/1.56 [1528=param(603,1524),[49], % 1.17/1.56 multiply(multiply(X10,multiply(inverse(X11),X12)),multiply(X11,X13)) = additive_identity]. % 1.17/1.56 [1533=param(1528,121),[49,17], % 1.17/1.56 multiply(inverse(X10),multiply(X11,multiply(X10,X12))) = additive_identity]. % 1.17/1.56 [1541=param(1533,17),[], % 1.17/1.56 multiply(inverse(X10),multiply(X11,multiply(X12,X10))) = additive_identity]. % 1.17/1.56 [1574=param(1524,823),[49], % 1.17/1.56 multiply(X10,multiply(multiply(X11,X10),X12)) = multiply(multiply(X11,X10),X12)]. % 1.17/1.56 [1578=param(1574,17),[], % 1.17/1.56 multiply(X10,multiply(multiply(X10,X11),X12)) = multiply(multiply(X11,X10),X12)]. % 1.17/1.56 [1593=param(1524,824),[49], % 1.17/1.56 multiply(X10,multiply(multiply(X10,X11),X12)) = multiply(multiply(X10,X11),X12)]. % 1.17/1.56 [1594=demod(1578),[1593], % 1.17/1.56 multiply(multiply(X10,X11),X12) = multiply(multiply(X11,X10),X12)]. % 1.17/1.56 [1604=param(1594,17),[], % 1.17/1.56 multiply(multiply(X10,X11),X12) = multiply(X12,multiply(X11,X10))]. % 1.17/1.56 [1640=param(847,49),[49], % 1.17/1.56 multiply(multiply(X10,X11),multiply(X12,inverse(multiply(X12,X11)))) = additive_identity]. % 1.17/1.56 [1642=param(1640,17),[], % 1.17/1.56 multiply(multiply(X10,inverse(multiply(X10,X11))),multiply(X12,X11)) = additive_identity]. % 1.17/1.56 [1659=param(1640,1604),[], % 1.17/1.56 multiply(multiply(X10,inverse(multiply(X10,X11))),multiply(X11,X12)) = additive_identity]. % 1.17/1.56 [1846=param(1041,3),[3,3,4], % 1.17/1.56 multiply(X10,inverse(multiply(X11,inverse(multiply(X11,X10))))) = X10]. % 1.17/1.56 [1847=param(1041,291),[], % 1.17/1.56 multiply(X10,multiply(X11,inverse(multiply(X11,inverse(X10))))) = multiply(X10,X11)]. % 1.17/1.56 [1848=demod(900),[1847], % 1.17/1.56 multiply(X10,inverse(X11)) = multiply(inverse(X11),inverse(multiply(inverse(X11),inverse(X10))))]. % 1.17/1.56 [1851=param(1041,1642),[21,4,1068], % 1.17/1.56 multiply(multiply(X10,X11),multiply(X12,X11)) = multiply(multiply(X10,X11),X12)]. % 1.17/1.56 [1852=param(1041,1659),[21,4,1068], % 1.17/1.56 multiply(multiply(X10,X11),multiply(X12,X10)) = multiply(multiply(X10,X11),X12)]. % 1.17/1.56 [1873=param(1851,17),[1851], % 1.17/1.56 multiply(multiply(X10,X11),X12) = multiply(multiply(X12,X11),X10)]. % 1.17/1.56 [1901=param(1846,1541),[21,4,49,17], % 1.17/1.56 multiply(X10,multiply(X11,multiply(X12,X10))) = multiply(X11,multiply(X12,X10))]. % 1.17/1.56 [1926=param(1073,6),[21,4], % 1.17/1.56 multiply(X10,inverse(multiply(inverse(X11),X10))) = multiply(X10,X11)]. % 1.17/1.56 [2015=param(1926,49),[], % 1.17/1.56 multiply(X10,inverse(multiply(X11,X10))) = multiply(X10,inverse(X11))]. % 1.17/1.56 [2026=param(2015,17),[], % 1.17/1.56 multiply(X10,inverse(multiply(X10,X11))) = multiply(X10,inverse(X11))]. % 1.17/1.56 [2035=demod(1217),[2026], % 1.17/1.56 add(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))]. % 1.17/1.56 [2142=param(20,2035),[2035,1848,49,17,2015,49,1848,2026,49,2035,1848,49,17,2015,2035,49,1848,2026,49], % 1.17/1.56 thtop(inverse(multiply(inverse(a),multiply(inverse(c),inverse(b)))),inverse(multiply(inverse(c),multiply(inverse(b),inverse(a))))) = thmtrue]. % 1.17/1.56 [2156=param(1873,1604),[], % 1.17/1.56 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 1.17/1.56 [2182=demod(1852),[2156,1901,2156], % 1.17/1.56 multiply(X10,multiply(X11,X12)) = multiply(X12,multiply(X10,X11))]. % 1.17/1.56 [2268=param(2142,2182),[19], % 1.17/1.56 thmtrue = thmfalse]. % 1.17/1.56 % SZS output end CNFRefutation % 1.17/1.56 Space: 4209 KB %------------------------------------------------------------------------------