%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : RNG009-7 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n020.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 : Mon Jul 18 20:27:47 EDT 2022 % Result : Unsatisfiable 2.29s 2.68s % Output : CNFRefutation 2.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG009-7 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n020.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 : Mon May 30 20:26:39 EDT 2022 % 0.12/0.34 % CPUTime : % 2.29/2.68 Theorem Proved. % 2.29/2.68 % SZS status Unsatisfiable % 2.29/2.68 % SZS output start CNFRefutation % 2.29/2.68 [1=axiom,[], % 2.29/2.68 multiply(a,b) = c]. % 2.29/2.68 [2=axiom,[], % 2.29/2.68 multiply(X10,multiply(X10,X10)) = X10]. % 2.29/2.68 [3=axiom,[], % 2.29/2.68 add(multiply(X10,X12),multiply(X11,X12)) = multiply(add(X10,X11),X12)]. % 2.29/2.68 [4=axiom,[], % 2.29/2.68 add(multiply(X10,X11),multiply(X10,X12)) = multiply(X10,add(X11,X12))]. % 2.29/2.68 [5=axiom,[], % 2.29/2.68 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 2.29/2.68 [6=axiom,[], % 2.29/2.68 add(X10,X11) = add(X11,X10)]. % 2.29/2.68 [7=axiom,[], % 2.29/2.68 add(add(X10,X11),X12) = add(X10,add(X11,X12))]. % 2.29/2.68 [8=axiom,[], % 2.29/2.68 add(X10,additive_inverse(X10)) = additive_identity]. % 2.29/2.68 [9=axiom,[], % 2.29/2.68 add(X10,additive_identity) = X10]. % 2.29/2.68 [10=axiom,[], % 2.29/2.68 add(additive_identity,X10) = X10]. % 2.29/2.68 [11=axiom,[], % 2.29/2.68 thtop(X10,X10) = thmfalse]. % 2.29/2.68 [12=axiom,[], % 2.29/2.68 thtop(multiply(b,a),c) = thmtrue]. % 2.29/2.68 [13=param(8,10),[], % 2.29/2.68 additive_inverse(additive_identity) = additive_identity]. % 2.29/2.68 [14=param(3,1),[], % 2.29/2.68 multiply(add(a,X10),b) = add(c,multiply(X10,b))]. % 2.29/2.68 [19=param(14,8),[], % 2.29/2.68 add(c,multiply(additive_inverse(a),b)) = multiply(additive_identity,b)]. % 2.29/2.68 [20=param(14,9),[1], % 2.29/2.68 add(c,multiply(additive_identity,b)) = c]. % 2.29/2.68 [21=param(4,1),[], % 2.29/2.68 multiply(a,add(b,X10)) = add(c,multiply(a,X10))]. % 2.29/2.68 [23=param(4,2),[], % 2.29/2.68 multiply(X10,add(multiply(X10,X10),X11)) = add(X10,multiply(X10,X11))]. % 2.29/2.68 [26=param(4,6),[4], % 2.29/2.68 multiply(X10,add(X11,X12)) = multiply(X10,add(X12,X11))]. % 2.29/2.68 [29=param(5,1),[], % 2.29/2.68 multiply(a,multiply(b,X10)) = multiply(c,X10)]. % 2.29/2.68 [30=param(5,2),[5], % 2.29/2.68 multiply(X10,multiply(X11,multiply(X10,multiply(X11,multiply(X10,X11))))) = multiply(X10,X11)]. % 2.29/2.68 [31=param(5,2),[5], % 2.29/2.68 multiply(X10,multiply(X10,multiply(X10,X11))) = multiply(X10,X11)]. % 2.29/2.68 [33=param(5,21),[], % 2.29/2.68 multiply(a,multiply(add(b,X10),X11)) = multiply(add(c,multiply(a,X10)),X11)]. % 2.29/2.68 [34=param(29,2),[1], % 2.29/2.68 multiply(c,multiply(b,b)) = c]. % 2.29/2.68 [37=param(7,6),[], % 2.29/2.68 add(X10,add(X11,X12)) = add(X12,add(X10,X11))]. % 2.29/2.68 [38=param(7,6),[7], % 2.29/2.68 add(X10,add(X11,X12)) = add(X11,add(X10,X12))]. % 2.29/2.68 [40=param(7,8),[10], % 2.29/2.68 add(X11,add(additive_inverse(X11),X10)) = X10]. % 2.29/2.68 [41=param(7,20),[], % 2.29/2.68 add(c,add(multiply(additive_identity,b),X10)) = add(c,X10)]. % 2.29/2.68 [44=param(4,34),[], % 2.29/2.68 multiply(c,add(multiply(b,b),X10)) = add(c,multiply(c,X10))]. % 2.29/2.68 [46=param(5,34),[5], % 2.29/2.68 multiply(c,multiply(b,multiply(b,X10))) = multiply(c,X10)]. % 2.29/2.68 [47=param(40,6),[], % 2.29/2.68 add(X10,add(X11,additive_inverse(X10))) = X11]. % 2.29/2.68 [48=param(40,7),[], % 2.29/2.68 add(X11,add(X12,add(additive_inverse(add(X11,X12)),X10))) = X10]. % 2.29/2.68 [49=param(40,8),[9], % 2.29/2.68 additive_inverse(additive_inverse(X10)) = X10]. % 2.29/2.68 [80=param(4,46),[4], % 2.29/2.68 multiply(c,add(multiply(b,multiply(b,X10)),X11)) = multiply(c,add(X10,X11))]. % 2.29/2.68 [97=param(23,3),[], % 2.29/2.68 add(X10,multiply(X10,multiply(X11,X10))) = multiply(X10,multiply(add(X10,X11),X10))]. % 2.29/2.68 [100=param(23,9),[2], % 2.29/2.68 add(X10,multiply(X10,additive_identity)) = X10]. % 2.29/2.68 [106=param(100,10),[], % 2.29/2.68 multiply(additive_identity,additive_identity) = additive_identity]. % 2.29/2.68 [108=param(40,100),[8], % 2.29/2.68 multiply(additive_inverse(X10),additive_identity) = additive_identity]. % 2.29/2.68 [113=param(3,108),[6,10], % 2.29/2.68 multiply(add(X10,additive_inverse(X11)),additive_identity) = multiply(X10,additive_identity)]. % 2.29/2.68 [139=param(4,26),[4,7,7], % 2.29/2.68 multiply(X10,add(X11,add(X12,X13))) = multiply(X10,add(X12,add(X11,X13)))]. % 2.29/2.68 [154=param(30,29),[29], % 2.29/2.68 multiply(b,multiply(c,multiply(c,a))) = multiply(b,a)]. % 2.29/2.68 [155=param(29,30),[29], % 2.29/2.68 multiply(c,multiply(X10,multiply(b,multiply(X10,multiply(b,X10))))) = multiply(c,X10)]. % 2.29/2.68 [159=param(31,1),[1], % 2.29/2.68 multiply(a,multiply(a,c)) = c]. % 2.29/2.68 [160=param(4,31),[4], % 2.29/2.68 multiply(X10,add(multiply(X10,multiply(X10,X11)),X12)) = multiply(X10,add(X11,X12))]. % 2.29/2.68 [164=param(31,29),[29], % 2.29/2.68 multiply(a,multiply(a,multiply(c,X10))) = multiply(c,X10)]. % 2.29/2.68 [176=param(113,8),[106], % 2.29/2.68 multiply(X10,additive_identity) = additive_identity]. % 2.29/2.68 [178=param(5,176),[], % 2.29/2.68 multiply(X11,multiply(additive_identity,X10)) = multiply(additive_identity,X10)]. % 2.29/2.68 [198=param(164,30),[159], % 2.29/2.68 multiply(c,multiply(a,multiply(c,multiply(a,c)))) = c]. % 2.29/2.68 [199=param(4,154),[4], % 2.29/2.68 multiply(b,add(multiply(c,multiply(c,a)),X10)) = multiply(b,add(a,X10))]. % 2.29/2.68 [201=param(5,154),[5,5,5], % 2.29/2.68 multiply(b,multiply(c,multiply(c,multiply(a,X10)))) = multiply(b,multiply(a,X10))]. % 2.29/2.68 [209=param(37,47),[], % 2.29/2.68 add(additive_inverse(X10),add(X10,X11)) = X11]. % 2.29/2.68 [261=param(41,47),[8], % 2.29/2.68 multiply(additive_identity,b) = additive_identity]. % 2.29/2.68 [266=demod(19),[261], % 2.29/2.68 add(c,multiply(additive_inverse(a),b)) = additive_identity]. % 2.29/2.68 [290=param(44,4),[], % 2.29/2.68 multiply(c,multiply(b,add(b,X10))) = add(c,multiply(c,multiply(b,X10)))]. % 2.29/2.68 [305=param(48,47),[], % 2.29/2.68 add(X10,additive_inverse(add(X10,X11))) = additive_inverse(X11)]. % 2.29/2.68 [307=param(305,3),[], % 2.29/2.68 add(multiply(X10,X11),additive_inverse(multiply(add(X10,X12),X11))) = additive_inverse(multiply(X12,X11))]. % 2.29/2.68 [308=param(305,4),[], % 2.29/2.68 add(multiply(X10,X11),additive_inverse(multiply(X10,add(X11,X12)))) = additive_inverse(multiply(X10,X12))]. % 2.29/2.68 [309=param(305,6),[], % 2.29/2.68 add(X10,additive_inverse(add(X11,X10))) = additive_inverse(X11)]. % 2.29/2.68 [331=param(305,209),[], % 2.29/2.68 add(additive_inverse(X10),additive_inverse(X11)) = additive_inverse(add(X10,X11))]. % 2.29/2.68 [342=param(38,331),[], % 2.29/2.68 add(X10,additive_inverse(add(X11,X12))) = add(additive_inverse(X11),add(X10,additive_inverse(X12)))]. % 2.29/2.68 [343=param(331,49),[], % 2.29/2.68 add(additive_inverse(X10),X11) = additive_inverse(add(X10,additive_inverse(X11)))]. % 2.29/2.68 [374=param(309,266),[13,6,10], % 2.29/2.68 multiply(additive_inverse(a),b) = additive_inverse(c)]. % 2.29/2.68 [378=param(3,374),[6,343], % 2.29/2.68 additive_inverse(add(c,additive_inverse(multiply(X10,b)))) = multiply(add(X10,additive_inverse(a)),b)]. % 2.29/2.68 [521=param(80,8),[176], % 2.29/2.68 multiply(c,add(X10,additive_inverse(multiply(b,multiply(b,X10))))) = additive_identity]. % 2.29/2.68 [568=param(14,97),[5,5,1,5,5,1], % 2.29/2.68 multiply(a,multiply(add(a,X10),c)) = add(c,multiply(a,multiply(X10,c)))]. % 2.29/2.68 [570=param(97,178),[9,2], % 2.29/2.68 add(X10,multiply(additive_identity,X10)) = X10]. % 2.29/2.68 [576=param(305,570),[8], % 2.29/2.68 additive_inverse(multiply(additive_identity,X10)) = additive_identity]. % 2.29/2.68 [577=param(8,576),[6,10], % 2.29/2.68 multiply(additive_identity,X10) = additive_identity]. % 2.29/2.68 [656=param(31,155),[2], % 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(b,c)))) = c]. % 2.29/2.68 [659=param(5,656),[5,5,5], % 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,X10))))) = multiply(c,X10)]. % 2.29/2.68 [660=param(160,8),[176], % 2.29/2.68 multiply(X10,add(X11,additive_inverse(multiply(X10,multiply(X10,X11))))) = additive_identity]. % 2.29/2.68 [673=param(5,660),[577], % 2.29/2.68 multiply(X10,multiply(add(X11,additive_inverse(multiply(X10,multiply(X10,X11)))),X12)) = additive_identity]. % 2.29/2.68 [710=param(199,8),[176], % 2.29/2.68 multiply(b,add(a,additive_inverse(multiply(c,multiply(c,a))))) = additive_identity]. % 2.29/2.68 [721=param(201,30),[154], % 2.29/2.68 multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,a))))) = multiply(b,a)]. % 2.29/2.68 [722=param(201,198),[], % 2.29/2.68 multiply(b,multiply(a,multiply(c,multiply(a,c)))) = multiply(b,multiply(c,c))]. % 2.29/2.68 [726=param(5,521),[577], % 2.29/2.68 multiply(c,multiply(add(X10,additive_inverse(multiply(b,multiply(b,X10)))),X11)) = additive_identity]. % 2.29/2.68 [792=param(307,8),[577,13,6,10], % 2.29/2.68 additive_inverse(multiply(additive_inverse(X10),X11)) = multiply(X10,X11)]. % 2.29/2.68 [800=param(307,343),[792,3,-342,305], % 2.29/2.68 multiply(additive_inverse(X10),X11) = additive_inverse(multiply(X10,X11))]. % 2.29/2.68 [855=param(308,8),[176,13,6,10], % 2.29/2.68 additive_inverse(multiply(X10,additive_inverse(X11))) = multiply(X10,X11)]. % 2.29/2.68 [860=param(308,343),[855,4,-342,305], % 2.29/2.68 multiply(X10,additive_inverse(X11)) = additive_inverse(multiply(X10,X11))]. % 2.29/2.68 [862=param(4,860),[], % 2.29/2.68 add(multiply(X10,X11),additive_inverse(multiply(X10,X12))) = multiply(X10,add(X11,additive_inverse(X12)))]. % 2.29/2.68 [877=param(30,726),[176], % 2.29/2.68 multiply(add(X10,additive_inverse(multiply(b,multiply(b,X10)))),c) = additive_identity]. % 2.29/2.68 [879=param(568,877),[176,800,5,5,860,29], % 2.29/2.68 add(c,additive_inverse(multiply(c,multiply(b,multiply(a,c))))) = additive_identity]. % 2.29/2.68 [884=param(305,879),[13,9,49], % 2.29/2.68 multiply(c,multiply(b,multiply(a,c))) = c]. % 2.29/2.68 [887=param(5,884),[5,5], % 2.29/2.68 multiply(c,multiply(b,multiply(a,multiply(c,X10)))) = multiply(c,X10)]. % 2.29/2.68 [889=param(887,722),[], % 2.29/2.68 multiply(c,multiply(a,c)) = multiply(c,multiply(b,multiply(c,c)))]. % 2.29/2.68 [894=param(887,721),[], % 2.29/2.68 multiply(c,multiply(a,multiply(c,a))) = multiply(c,multiply(b,a))]. % 2.29/2.68 [901=param(30,673),[176], % 2.29/2.68 multiply(add(X10,additive_inverse(multiply(X11,multiply(X11,X10)))),X11) = additive_identity]. % 2.29/2.68 [903=param(901,14),[800,5,5,1], % 2.29/2.68 add(c,additive_inverse(multiply(b,multiply(b,c)))) = additive_identity]. % 2.29/2.68 [904=param(33,901),[176,860], % 2.29/2.68 multiply(add(c,additive_inverse(multiply(a,multiply(X10,multiply(X10,b))))),X10) = additive_identity]. % 2.29/2.68 [911=param(305,903),[13,9,49], % 2.29/2.68 multiply(b,multiply(b,c)) = c]. % 2.29/2.68 [914=param(4,911),[], % 2.29/2.68 multiply(b,add(multiply(b,c),X10)) = add(c,multiply(b,X10))]. % 2.29/2.68 [916=param(5,911),[5], % 2.29/2.68 multiply(b,multiply(b,multiply(c,X10))) = multiply(c,X10)]. % 2.29/2.68 [918=param(29,911),[], % 2.29/2.68 multiply(a,c) = multiply(c,multiply(b,c))]. % 2.29/2.68 [921=demod(889),[918], % 2.29/2.68 multiply(c,multiply(b,multiply(c,c))) = multiply(c,multiply(c,multiply(b,c)))]. % 2.29/2.68 [938=param(5,918),[5,5], % 2.29/2.68 multiply(a,multiply(c,X10)) = multiply(c,multiply(b,multiply(c,X10)))]. % 2.29/2.68 [946=demod(894),[938], % 2.29/2.68 multiply(c,multiply(c,multiply(b,multiply(c,a)))) = multiply(c,multiply(b,a))]. % 2.29/2.68 [977=param(914,3),[], % 2.29/2.68 multiply(b,multiply(add(b,X10),c)) = add(c,multiply(b,multiply(X10,c)))]. % 2.29/2.68 [984=param(977,901),[176,800,5,5,860], % 2.29/2.68 add(c,additive_inverse(multiply(b,multiply(c,multiply(c,multiply(b,c)))))) = additive_identity]. % 2.29/2.68 [987=param(31,946),[], % 2.29/2.68 multiply(c,multiply(b,multiply(c,a))) = multiply(c,multiply(c,multiply(b,a)))]. % 2.29/2.68 [990=param(659,987),[], % 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,a))))) = multiply(c,a)]. % 2.29/2.68 [997=param(305,984),[13,9,49], % 2.29/2.68 multiply(b,multiply(c,multiply(c,multiply(b,c)))) = c]. % 2.29/2.68 [1000=param(916,997),[], % 2.29/2.68 multiply(c,multiply(c,multiply(b,c))) = multiply(b,c)]. % 2.29/2.68 [1001=demod(921),[1000], % 2.29/2.68 multiply(c,multiply(b,multiply(c,c))) = multiply(b,c)]. % 2.29/2.68 [1002=param(5,1001),[5,5,5], % 2.29/2.68 multiply(c,multiply(b,multiply(c,multiply(c,X10)))) = multiply(b,multiply(c,X10))]. % 2.29/2.68 [1003=demod(990),[1002], % 2.29/2.68 multiply(b,multiply(c,multiply(b,a))) = multiply(c,a)]. % 2.29/2.68 [1012=param(916,1003),[], % 2.29/2.68 multiply(b,multiply(c,a)) = multiply(c,multiply(b,a))]. % 2.29/2.68 [1013=param(5,1012),[5,5,5], % 2.29/2.68 multiply(b,multiply(c,multiply(a,X10))) = multiply(c,multiply(b,multiply(a,X10)))]. % 2.29/2.68 [1014=param(5,1000),[5,5,5], % 2.29/2.68 multiply(c,multiply(c,multiply(b,multiply(c,X10)))) = multiply(b,multiply(c,X10))]. % 2.29/2.68 [1017=param(1013,29),[29], % 2.29/2.68 multiply(b,multiply(c,multiply(c,X10))) = multiply(c,multiply(b,multiply(c,X10)))]. % 2.29/2.68 [1018=demod(154),[1017,1012], % 2.29/2.68 multiply(c,multiply(c,multiply(b,a))) = multiply(b,a)]. % 2.29/2.68 [1042=param(904,673),[13,9], % 2.29/2.68 multiply(c,add(X10,additive_inverse(multiply(a,multiply(a,X10))))) = additive_identity]. % 2.29/2.68 [1049=param(1042,44),[29,938,860,1014], % 2.29/2.68 add(c,additive_inverse(multiply(b,multiply(c,b)))) = additive_identity]. % 2.29/2.68 [1054=param(305,1049),[13,9,49], % 2.29/2.68 multiply(b,multiply(c,b)) = c]. % 2.29/2.68 [1057=param(4,1054),[], % 2.29/2.68 multiply(b,add(multiply(c,b),X10)) = add(c,multiply(b,X10))]. % 2.29/2.68 [1058=param(4,1054),[6], % 2.29/2.68 add(c,multiply(b,X10)) = multiply(b,add(X10,multiply(c,b)))]. % 2.29/2.68 [1068=param(29,1054),[918], % 2.29/2.68 multiply(c,multiply(b,c)) = multiply(c,multiply(c,b))]. % 2.29/2.68 [1070=demod(1000),[1068,31], % 2.29/2.68 multiply(b,c) = multiply(c,b)]. % 2.29/2.68 [1102=param(5,1070),[5], % 2.29/2.68 multiply(b,multiply(c,X10)) = multiply(c,multiply(b,X10))]. % 2.29/2.68 [1117=param(1102,290),[46], % 2.29/2.68 multiply(c,add(b,X10)) = multiply(b,add(c,multiply(c,multiply(b,X10))))]. % 2.29/2.68 [1147=param(1058,710),[9,6,139,862,1117,860,1102,860,1018], % 2.29/2.68 multiply(b,add(a,multiply(b,add(c,additive_inverse(multiply(b,a)))))) = c]. % 2.29/2.68 [1255=param(5,1057),[], % 2.29/2.68 multiply(b,multiply(add(multiply(c,b),X10),X11)) = multiply(add(c,multiply(b,X10)),X11)]. % 2.29/2.68 [1799=param(1255,378),[5,34,8,13,176,860], % 2.29/2.68 multiply(add(c,additive_inverse(multiply(b,a))),b) = additive_identity]. % 2.29/2.68 [1813=param(5,1799),[577], % 2.29/2.68 multiply(add(c,additive_inverse(multiply(b,a))),multiply(b,X10)) = additive_identity]. % 2.29/2.68 [1828=param(30,1813),[176], % 2.29/2.68 multiply(b,add(c,additive_inverse(multiply(b,a)))) = additive_identity]. % 2.29/2.68 [1829=demod(1147),[1828,9], % 2.29/2.68 multiply(b,a) = c]. % 2.29/2.68 [1901=param(12,1829),[11], % 2.29/2.68 thmtrue = thmfalse]. % 2.29/2.68 % SZS output end CNFRefutation % 2.29/2.68 Space: 11108 KB %------------------------------------------------------------------------------