%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : REL018-1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n006.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 19:23:19 EDT 2022 % Result : Unsatisfiable 1.45s 1.82s % Output : CNFRefutation 1.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : REL018-1 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.11 % Command : fiesta-wrapper %s % 0.11/0.32 % Computer : n006.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Fri Jul 8 15:58:36 EDT 2022 % 0.11/0.32 % CPUTime : % 1.45/1.82 Theorem Proved. % 1.45/1.82 % SZS status Unsatisfiable % 1.45/1.82 % SZS output start CNFRefutation % 1.45/1.82 [1=axiom,[], % 1.45/1.82 composition(sk1,top) = sk1]. % 1.45/1.82 [2=axiom,[], % 1.45/1.82 meet(X10,complement(X10)) = zero]. % 1.45/1.82 [3=axiom,[], % 1.45/1.82 join(X10,complement(X10)) = top]. % 1.45/1.82 [4=axiom,[], % 1.45/1.82 join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11)]. % 1.45/1.82 [5=axiom,[], % 1.45/1.82 converse(composition(X10,X11)) = composition(converse(X11),converse(X10))]. % 1.45/1.82 [6=axiom,[], % 1.45/1.82 join(converse(X10),converse(X11)) = converse(join(X10,X11))]. % 1.45/1.82 [7=axiom,[], % 1.45/1.82 converse(converse(X10)) = X10]. % 1.45/1.82 [8=axiom,[], % 1.45/1.82 join(composition(X10,X12),composition(X11,X12)) = composition(join(X10,X11),X12)]. % 1.45/1.82 [9=axiom,[], % 1.45/1.82 composition(X10,one) = X10]. % 1.45/1.82 [11=axiom,[], % 1.45/1.82 complement(join(complement(X10),complement(X11))) = meet(X10,X11)]. % 1.45/1.82 [12=axiom,[11], % 1.45/1.82 join(meet(X10,X11),complement(join(complement(X10),X11))) = X10]. % 1.45/1.82 [13=axiom,[], % 1.45/1.82 join(join(X10,X11),X12) = join(X10,join(X11,X12))]. % 1.45/1.82 [14=axiom,[], % 1.45/1.82 join(X10,X11) = join(X11,X10)]. % 1.45/1.82 [15=demod(4),[14], % 1.45/1.82 join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) = complement(X10)]. % 1.45/1.82 [16=axiom,[], % 1.45/1.82 thtop(X10,X10) = thmfalse]. % 1.45/1.82 [17=axiom,[], % 1.45/1.82 thtop(composition(complement(sk1),top),complement(sk1)) = thmtrue]. % 1.45/1.82 [19=param(7,5),[], % 1.45/1.82 converse(composition(converse(X10),converse(X11))) = composition(X11,X10)]. % 1.45/1.82 [20=param(5,9),[], % 1.45/1.82 composition(converse(one),converse(X10)) = converse(X10)]. % 1.45/1.82 [22=param(5,7),[], % 1.45/1.82 composition(converse(X10),X11) = converse(composition(converse(X11),X10))]. % 1.45/1.82 [24=param(20,7),[7], % 1.45/1.82 composition(converse(one),X10) = X10]. % 1.45/1.82 [25=param(24,9),[], % 1.45/1.82 converse(one) = one]. % 1.45/1.82 [26=demod(24),[25], % 1.45/1.82 composition(one,X10) = X10]. % 1.45/1.82 [30=param(6,7),[], % 1.45/1.82 join(converse(X10),X11) = converse(join(X10,converse(X11)))]. % 1.45/1.82 [34=param(8,26),[], % 1.45/1.82 join(X10,composition(X11,X10)) = composition(join(one,X11),X10)]. % 1.45/1.82 [36=param(30,3),[], % 1.45/1.82 converse(join(X10,converse(complement(converse(X10))))) = top]. % 1.45/1.82 [38=param(30,14),[], % 1.45/1.82 converse(join(X10,converse(X11))) = join(X11,converse(X10))]. % 1.45/1.82 [39=param(30,25),[], % 1.45/1.82 converse(join(one,converse(X10))) = join(one,X10)]. % 1.45/1.82 [43=param(39,7),[], % 1.45/1.82 join(one,converse(X10)) = converse(join(one,X10))]. % 1.45/1.82 [48=param(43,25),[], % 1.45/1.82 converse(join(one,one)) = join(one,one)]. % 1.45/1.82 [50=param(5,48),[], % 1.45/1.82 composition(converse(X10),join(one,one)) = converse(composition(join(one,one),X10))]. % 1.45/1.82 [53=param(11,3),[2], % 1.45/1.82 complement(top) = zero]. % 1.45/1.82 [57=param(11,14),[11], % 1.45/1.82 meet(X10,X11) = meet(X11,X10)]. % 1.45/1.82 [59=param(2,53),[57], % 1.45/1.82 meet(zero,top) = zero]. % 1.45/1.82 [61=param(11,53),[], % 1.45/1.82 complement(join(zero,complement(X10))) = meet(top,X10)]. % 1.45/1.82 [62=param(12,2),[11], % 1.45/1.82 join(zero,meet(X10,X10)) = X10]. % 1.45/1.82 [67=param(12,59),[14], % 1.45/1.82 join(zero,complement(join(top,complement(zero)))) = zero]. % 1.45/1.82 [69=param(13,3),[], % 1.45/1.82 join(X11,join(complement(X11),X10)) = join(top,X10)]. % 1.45/1.82 [78=param(15,5),[7], % 1.45/1.82 join(complement(converse(X10)),composition(X11,complement(converse(composition(X10,X11))))) = complement(converse(X10))]. % 1.45/1.82 [82=param(15,25),[26,26], % 1.45/1.82 join(complement(X10),complement(X10)) = complement(X10)]. % 1.45/1.82 [85=param(11,82),[], % 1.45/1.82 meet(X10,X10) = complement(complement(X10))]. % 1.45/1.82 [87=demod(62),[85], % 1.45/1.82 join(zero,complement(complement(X10))) = X10]. % 1.45/1.82 [89=param(82,53),[53,53], % 1.45/1.82 join(zero,zero) = zero]. % 1.45/1.82 [90=param(13,89),[], % 1.45/1.82 join(zero,join(zero,X10)) = join(zero,X10)]. % 1.45/1.82 [95=param(87,11),[], % 1.45/1.82 join(complement(X10),complement(X11)) = join(zero,complement(meet(X10,X11)))]. % 1.45/1.82 [106=param(17,19),[], % 1.45/1.82 thtop(converse(composition(converse(top),converse(complement(sk1)))),complement(sk1)) = thmtrue]. % 1.45/1.82 [111=param(90,87),[87], % 1.45/1.82 join(zero,X10) = X10]. % 1.45/1.82 [112=demod(61),[111], % 1.45/1.82 meet(top,X10) = complement(complement(X10))]. % 1.45/1.82 [116=demod(67),[111], % 1.45/1.82 complement(join(top,complement(zero))) = zero]. % 1.45/1.82 [117=demod(87),[111], % 1.45/1.82 complement(complement(X10)) = X10]. % 1.45/1.82 [118=demod(112),[117], % 1.45/1.82 meet(top,X10) = X10]. % 1.45/1.82 [119=demod(85),[117], % 1.45/1.82 meet(X10,X10) = X10]. % 1.45/1.82 [122=demod(95),[111], % 1.45/1.82 join(complement(X10),complement(X11)) = complement(meet(X10,X11))]. % 1.45/1.82 [145=param(117,53),[], % 1.45/1.82 complement(zero) = top]. % 1.45/1.82 [146=demod(116),[145], % 1.45/1.82 complement(join(top,top)) = zero]. % 1.45/1.82 [147=param(12,145),[], % 1.45/1.82 join(meet(zero,X10),complement(join(top,X10))) = zero]. % 1.45/1.82 [152=param(3,146),[13,14,111], % 1.45/1.82 join(top,top) = top]. % 1.45/1.82 [155=param(13,152),[], % 1.45/1.82 join(top,join(top,X10)) = join(top,X10)]. % 1.45/1.82 [176=param(13,34),[], % 1.45/1.82 join(composition(join(one,X10),X11),X12) = join(X11,join(composition(X10,X11),X12))]. % 1.45/1.82 [179=param(34,22),[43], % 1.45/1.82 join(X10,converse(composition(converse(X10),X11))) = composition(converse(join(one,X11)),X10)]. % 1.45/1.82 [222=param(7,36),[], % 1.45/1.82 join(X10,converse(complement(converse(X10)))) = converse(top)]. % 1.45/1.82 [291=param(12,222),[14], % 1.45/1.82 join(complement(converse(top)),meet(X10,converse(complement(converse(complement(X10)))))) = X10]. % 1.45/1.82 [300=param(155,222),[222], % 1.45/1.82 join(top,converse(top)) = converse(top)]. % 1.45/1.82 [306=param(38,300),[7,300], % 1.45/1.82 converse(top) = top]. % 1.45/1.82 [314=demod(291),[306,53,111], % 1.45/1.82 meet(X10,converse(complement(converse(complement(X10))))) = X10]. % 1.45/1.82 [321=demod(222),[306], % 1.45/1.82 join(X10,converse(complement(converse(X10)))) = top]. % 1.45/1.82 [325=param(5,306),[], % 1.45/1.82 composition(top,converse(X10)) = converse(composition(X10,top))]. % 1.45/1.82 [342=param(106,306),[], % 1.45/1.82 thtop(converse(composition(top,converse(complement(sk1)))),complement(sk1)) = thmtrue]. % 1.45/1.82 [364=param(122,117),[], % 1.45/1.82 join(X10,complement(X11)) = complement(meet(complement(X10),X11))]. % 1.45/1.82 [365=demod(12),[364], % 1.45/1.82 complement(meet(complement(meet(X10,X11)),join(complement(X10),X11))) = X10]. % 1.45/1.82 [371=demod(147),[364], % 1.45/1.82 complement(meet(complement(meet(zero,X10)),join(top,X10))) = zero]. % 1.45/1.82 [376=param(321,50),[176,26], % 1.45/1.82 join(X10,join(X10,converse(complement(composition(converse(X10),join(one,one)))))) = top]. % 1.45/1.82 [377=param(364,14),[], % 1.45/1.82 join(complement(X11),X10) = complement(meet(complement(X10),X11))]. % 1.45/1.82 [379=demod(365),[377], % 1.45/1.82 complement(meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10)))) = X10]. % 1.45/1.82 [380=demod(78),[377,57], % 1.45/1.82 complement(meet(converse(X10),complement(composition(X11,complement(converse(composition(X10,X11))))))) = complement(converse(X10))]. % 1.45/1.82 [391=demod(69),[377,364], % 1.45/1.82 complement(meet(complement(X10),meet(complement(X11),X10))) = join(top,X11)]. % 1.45/1.82 [393=param(364,30),[], % 1.45/1.82 converse(join(X10,converse(complement(X11)))) = complement(meet(complement(converse(X10)),X11))]. % 1.45/1.82 [395=param(364,117),[], % 1.45/1.82 join(X10,X11) = complement(meet(complement(X10),complement(X11)))]. % 1.45/1.82 [403=demod(321),[395], % 1.45/1.82 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = top]. % 1.45/1.82 [404=demod(393),[395], % 1.45/1.82 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),complement(converse(complement(X11))))))]. % 1.45/1.82 [415=demod(179),[395,395], % 1.45/1.82 complement(meet(complement(X10),complement(converse(composition(converse(X10),X11))))) = composition(converse(complement(meet(complement(one),complement(X11)))),X10)]. % 1.45/1.82 [421=demod(391),[395,53], % 1.45/1.82 complement(meet(complement(X10),meet(complement(X11),X10))) = complement(meet(zero,complement(X11)))]. % 1.45/1.82 [504=demod(371),[395,53], % 1.45/1.82 complement(meet(complement(meet(zero,X10)),complement(meet(zero,complement(X10))))) = zero]. % 1.45/1.82 [518=demod(376),[395,119,117,9,395,403,395,53,57], % 1.45/1.82 complement(meet(zero,complement(X10))) = top]. % 1.45/1.82 [520=demod(421),[518], % 1.45/1.82 complement(meet(complement(X10),meet(complement(X11),X10))) = top]. % 1.45/1.82 [523=demod(504),[518,57,118,117], % 1.45/1.82 meet(zero,X10) = zero]. % 1.45/1.82 [646=param(2,520),[57,118], % 1.45/1.82 meet(complement(X10),meet(complement(X11),X10)) = zero]. % 1.45/1.82 [649=param(646,117),[], % 1.45/1.82 meet(complement(X10),meet(X11,X10)) = zero]. % 1.45/1.82 [652=param(649,314),[57], % 1.45/1.82 meet(X10,complement(converse(complement(converse(complement(X10)))))) = zero]. % 1.45/1.82 [719=param(117,379),[], % 1.45/1.82 meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10))) = complement(X10)]. % 1.45/1.82 [724=param(380,1),[], % 1.45/1.82 complement(meet(converse(sk1),complement(composition(top,complement(converse(sk1)))))) = complement(converse(sk1))]. % 1.45/1.82 [873=param(404,314),[117,117,7], % 1.45/1.82 converse(complement(meet(complement(X10),complement(converse(complement(converse(complement(X10)))))))) = converse(X10)]. % 1.45/1.82 [965=param(415,325),[7,53,57,523,145,306], % 1.45/1.82 complement(meet(complement(X10),complement(composition(top,X10)))) = composition(top,X10)]. % 1.45/1.82 [1114=param(965,117),[], % 1.45/1.82 complement(meet(X10,complement(composition(top,complement(X10))))) = composition(top,complement(X10))]. % 1.45/1.82 [1115=demod(724),[1114], % 1.45/1.82 composition(top,complement(converse(sk1))) = complement(converse(sk1))]. % 1.45/1.82 [2101=param(719,652),[117,57,145,57,118,117,117], % 1.45/1.82 complement(meet(X10,complement(converse(complement(converse(X10)))))) = converse(complement(converse(X10)))]. % 1.45/1.82 [2102=demod(873),[2101,7], % 1.45/1.82 complement(converse(complement(X10))) = converse(X10)]. % 1.45/1.82 [2107=demod(2101),[2102,7,119], % 1.45/1.82 converse(complement(converse(X10))) = complement(X10)]. % 1.45/1.82 [2198=param(2107,7),[], % 1.45/1.82 complement(converse(X10)) = converse(complement(X10))]. % 1.45/1.82 [2318=demod(1115),[2198,2198], % 1.45/1.82 composition(top,converse(complement(sk1))) = converse(complement(sk1))]. % 1.45/1.82 [2417=param(342,2318),[7,16], % 1.45/1.82 thmtrue = thmfalse]. % 1.45/1.82 % SZS output end CNFRefutation % 1.45/1.82 Space: 5825 KB %------------------------------------------------------------------------------