%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : LCL160-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n019.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 : Sun Jul 17 10:33:46 EDT 2022 % Result : Unsatisfiable 6.54s 6.97s % Output : CNFRefutation 6.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : LCL160-1 : TPTP v8.1.0. Released v1.0.0. % 0.09/0.12 % Command : fiesta-wrapper %s % 0.11/0.33 % Computer : n019.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 4 21:38:08 EDT 2022 % 0.11/0.33 % CPUTime : % 6.54/6.97 Theorem Proved. % 6.54/6.97 % SZS status Unsatisfiable % 6.54/6.97 % SZS output start CNFRefutation % 6.54/6.97 [1=axiom,[], % 6.54/6.97 not(truth) = falsehood]. % 6.54/6.97 [2=axiom,[], % 6.54/6.97 and_star(X10,X11) = and_star(X11,X10)]. % 6.54/6.97 [3=axiom,[], % 6.54/6.97 and_star(and_star(X10,X11),X12) = and_star(X10,and_star(X11,X12))]. % 6.54/6.97 [4=axiom,[], % 6.54/6.97 not(or(not(X10),not(X11))) = and_star(X10,X11)]. % 6.54/6.97 [5=axiom,[], % 6.54/6.97 xor(X10,X11) = xor(X11,X10)]. % 6.54/6.97 [6=axiom,[], % 6.54/6.97 or(and(X10,not(X11)),and(not(X10),X11)) = xor(X10,X11)]. % 6.54/6.97 [9=axiom,[4], % 6.54/6.97 and(X10,X11) = and_star(X10,X11)]. % 6.54/6.97 [10=demod(6),[9,9], % 6.54/6.97 or(and_star(X10,not(X11)),and_star(not(X10),X11)) = xor(X10,X11)]. % 6.54/6.97 [11=axiom,[], % 6.54/6.97 or(X10,X11) = or(X11,X10)]. % 6.54/6.97 [12=axiom,[], % 6.54/6.97 or(or(X10,X11),X12) = or(X10,or(X11,X12))]. % 6.54/6.97 [13=axiom,[], % 6.54/6.97 implies(not(X10),X11) = or(X10,X11)]. % 6.54/6.97 [14=axiom,[13], % 6.54/6.97 implies(or(X10,not(X11)),implies(X11,X10)) = truth]. % 6.54/6.97 [15=axiom,[], % 6.54/6.97 implies(implies(X10,X11),X11) = implies(implies(X11,X10),X10)]. % 6.54/6.97 [17=axiom,[], % 6.54/6.97 implies(truth,X10) = X10]. % 6.54/6.97 [18=axiom,[], % 6.54/6.97 thtop(X10,X10) = thmfalse]. % 6.54/6.97 [19=axiom,[5,2,5,2,5,2,5,2], % 6.54/6.97 thtop(and_star(y,xor(truth,and_star(y,xor(x,truth)))),and_star(x,xor(truth,and_star(x,xor(y,truth))))) = thmtrue]. % 6.54/6.97 [21=param(3,2),[], % 6.54/6.97 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X10,X11))]. % 6.54/6.97 [22=param(3,2),[3], % 6.54/6.97 and_star(X10,and_star(X11,X12)) = and_star(X11,and_star(X10,X12))]. % 6.54/6.97 [23=param(4,1),[], % 6.54/6.97 not(or(falsehood,not(X10))) = and_star(truth,X10)]. % 6.54/6.97 [24=param(4,4),[], % 6.54/6.97 not(or(and_star(X10,X11),not(X12))) = and_star(or(not(X10),not(X11)),X12)]. % 6.54/6.97 [25=param(4,4),[], % 6.54/6.97 not(or(not(X10),and_star(X11,X12))) = and_star(X10,or(not(X11),not(X12)))]. % 6.54/6.97 [26=param(13,4),[12], % 6.54/6.97 implies(and_star(X10,X11),X12) = or(not(X10),or(not(X11),X12))]. % 6.54/6.97 [31=param(10,1),[2], % 6.54/6.97 or(and_star(X10,falsehood),and_star(truth,not(X10))) = xor(X10,truth)]. % 6.54/6.97 [32=param(10,1),[11], % 6.54/6.97 or(and_star(falsehood,X10),and_star(truth,not(X10))) = xor(truth,X10)]. % 6.54/6.97 [34=param(10,2),[], % 6.54/6.97 or(and_star(X10,not(X11)),and_star(X11,not(X10))) = xor(X10,X11)]. % 6.54/6.97 [35=param(12,11),[], % 6.54/6.97 or(X10,or(X11,X12)) = or(X12,or(X10,X11))]. % 6.54/6.97 [37=param(14,1),[17], % 6.54/6.97 implies(or(X10,falsehood),X10) = truth]. % 6.54/6.97 [39=param(14,11),[], % 6.54/6.97 implies(or(not(X10),X11),implies(X10,X11)) = truth]. % 6.54/6.97 [46=param(37,11),[], % 6.54/6.97 implies(or(falsehood,X10),X10) = truth]. % 6.54/6.97 [50=param(15,13),[], % 6.54/6.97 implies(implies(X11,not(X10)),not(X10)) = implies(or(X10,X11),X11)]. % 6.54/6.97 [52=param(15,17),[], % 6.54/6.97 implies(implies(X10,truth),truth) = implies(X10,X10)]. % 6.54/6.97 [56=param(52,13),[13], % 6.54/6.97 implies(or(X10,truth),truth) = or(X10,not(X10))]. % 6.54/6.97 [63=param(56,46),[], % 6.54/6.97 or(falsehood,not(falsehood)) = truth]. % 6.54/6.97 [84=param(23,63),[1,2], % 6.54/6.97 and_star(falsehood,truth) = falsehood]. % 6.54/6.97 [85=param(46,63),[17], % 6.54/6.97 not(falsehood) = truth]. % 6.54/6.97 [88=param(4,85),[], % 6.54/6.97 not(or(truth,not(X10))) = and_star(falsehood,X10)]. % 6.54/6.97 [91=param(13,85),[17], % 6.54/6.97 or(falsehood,X10) = X10]. % 6.54/6.97 [92=demod(23),[91], % 6.54/6.97 and_star(truth,X10) = not(not(X10))]. % 6.54/6.97 [94=demod(32),[92,11], % 6.54/6.97 or(not(not(not(X10))),and_star(falsehood,X10)) = xor(truth,X10)]. % 6.54/6.97 [95=demod(31),[92,11], % 6.54/6.97 or(not(not(not(X10))),and_star(X10,falsehood)) = xor(X10,truth)]. % 6.54/6.97 [102=demod(46),[91], % 6.54/6.97 implies(X10,X10) = truth]. % 6.54/6.97 [107=demod(52),[102], % 6.54/6.97 implies(implies(X10,truth),truth) = truth]. % 6.54/6.97 [113=param(102,13),[], % 6.54/6.97 or(X10,not(X10)) = truth]. % 6.54/6.97 [119=param(91,11),[], % 6.54/6.97 or(X10,falsehood) = X10]. % 6.54/6.97 [122=param(22,21),[], % 6.54/6.97 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X11,X10))]. % 6.54/6.97 [127=param(24,11),[], % 6.54/6.97 not(or(not(X10),and_star(X11,X12))) = and_star(or(not(X11),not(X12)),X10)]. % 6.54/6.97 [128=param(24,85),[11,2], % 6.54/6.97 and_star(falsehood,or(not(X10),not(X11))) = not(or(truth,and_star(X10,X11)))]. % 6.54/6.97 [130=param(4,113),[1], % 6.54/6.97 and_star(X10,not(X10)) = falsehood]. % 6.54/6.97 [133=param(24,113),[1,2,3], % 6.54/6.97 and_star(X10,and_star(X11,or(not(X10),not(X11)))) = falsehood]. % 6.54/6.97 [139=param(25,2),[], % 6.54/6.97 not(or(not(X10),and_star(X11,X12))) = and_star(X10,or(not(X12),not(X11)))]. % 6.54/6.97 [140=param(25,84),[11,91,85,1,11,91], % 6.54/6.97 and_star(X10,truth) = not(not(X10))]. % 6.54/6.97 [178=param(113,88),[11,35,11], % 6.54/6.97 or(not(X10),or(truth,and_star(falsehood,X10))) = truth]. % 6.54/6.97 [194=param(39,113),[17], % 6.54/6.97 implies(X10,not(not(X10))) = truth]. % 6.54/6.97 [196=param(15,194),[17,13,11,113,17], % 6.54/6.97 not(not(X10)) = X10]. % 6.54/6.97 [198=demod(140),[196], % 6.54/6.97 and_star(X10,truth) = X10]. % 6.54/6.97 [200=demod(92),[196], % 6.54/6.97 and_star(truth,X10) = X10]. % 6.54/6.97 [201=demod(95),[196], % 6.54/6.97 or(not(X10),and_star(X10,falsehood)) = xor(X10,truth)]. % 6.54/6.97 [202=demod(94),[196], % 6.54/6.97 or(not(X10),and_star(falsehood,X10)) = xor(truth,X10)]. % 6.54/6.97 [203=param(24,200),[1,91], % 6.54/6.97 not(or(X10,not(X11))) = and_star(not(X10),X11)]. % 6.54/6.97 [205=demod(24),[203], % 6.54/6.97 and_star(or(not(X10),not(X11)),X12) = and_star(not(and_star(X10,X11)),X12)]. % 6.54/6.97 [207=demod(127),[205], % 6.54/6.97 not(or(not(X10),and_star(X11,X12))) = and_star(not(and_star(X11,X12)),X10)]. % 6.54/6.97 [208=demod(139),[207], % 6.54/6.97 and_star(not(and_star(X10,X11)),X12) = and_star(X12,or(not(X11),not(X10)))]. % 6.54/6.97 [209=demod(133),[-208,2], % 6.54/6.97 and_star(X10,and_star(X11,not(and_star(X11,X10)))) = falsehood]. % 6.54/6.97 [210=demod(128),[-208,2], % 6.54/6.97 not(or(truth,and_star(X11,X10))) = and_star(falsehood,not(and_star(X10,X11)))]. % 6.54/6.97 [213=param(26,200),[1,91], % 6.54/6.97 implies(X10,X11) = or(not(X10),X11)]. % 6.54/6.97 [216=demod(15),[213,213,11,213,213,11], % 6.54/6.97 or(X10,not(or(not(X11),X10))) = or(X11,not(or(not(X10),X11)))]. % 6.54/6.97 [237=demod(107),[213,11,213,203,1,11], % 6.54/6.97 or(truth,and_star(falsehood,X10)) = truth]. % 6.54/6.97 [238=demod(178),[237,11], % 6.54/6.97 or(truth,not(X10)) = truth]. % 6.54/6.97 [247=demod(50),[213,213,203,196,11,213,11], % 6.54/6.97 or(not(X10),and_star(X11,X10)) = or(X11,not(or(X10,X11)))]. % 6.54/6.97 [248=demod(202),[247,119,91], % 6.54/6.97 xor(truth,X10) = not(X10)]. % 6.54/6.97 [253=param(34,200),[1,201,248], % 6.54/6.97 xor(X10,truth) = not(X10)]. % 6.54/6.97 [272=param(19,253),[248,253,248], % 6.54/6.97 thtop(and_star(y,not(and_star(y,not(x)))),and_star(x,not(and_star(x,not(y))))) = thmtrue]. % 6.54/6.97 [275=param(238,196),[], % 6.54/6.97 or(truth,X10) = truth]. % 6.54/6.97 [276=demod(210),[275,1], % 6.54/6.97 and_star(falsehood,not(and_star(X10,X11))) = falsehood]. % 6.54/6.97 [291=param(122,130),[], % 6.54/6.97 and_star(X10,falsehood) = and_star(not(X11),and_star(X11,X10))]. % 6.54/6.97 [301=param(276,198),[], % 6.54/6.97 and_star(falsehood,not(X10)) = falsehood]. % 6.54/6.97 [309=param(122,301),[], % 6.54/6.97 and_star(X10,falsehood) = and_star(not(X11),and_star(falsehood,X10))]. % 6.54/6.97 [310=param(301,196),[], % 6.54/6.97 and_star(falsehood,X10) = falsehood]. % 6.54/6.97 [311=demod(309),[310,2,310], % 6.54/6.97 and_star(X10,falsehood) = falsehood]. % 6.54/6.97 [312=demod(291),[311], % 6.54/6.97 and_star(not(X10),and_star(X10,X11)) = falsehood]. % 6.54/6.97 [378=param(203,11),[], % 6.54/6.97 not(or(not(X10),X11)) = and_star(not(X11),X10)]. % 6.54/6.97 [380=demod(216),[378,378], % 6.54/6.97 or(X10,and_star(not(X10),X11)) = or(X11,and_star(not(X11),X10))]. % 6.54/6.97 [384=param(203,196),[], % 6.54/6.97 not(or(X10,X11)) = and_star(not(X10),not(X11))]. % 6.54/6.97 [389=demod(247),[384], % 6.54/6.97 or(not(X10),and_star(X11,X10)) = or(X11,and_star(not(X10),not(X11)))]. % 6.54/6.97 [399=param(196,384),[], % 6.54/6.97 or(X10,X11) = not(and_star(not(X10),not(X11)))]. % 6.54/6.97 [410=demod(380),[399,399], % 6.54/6.97 not(and_star(not(X10),not(and_star(not(X10),X11)))) = not(and_star(not(X11),not(and_star(not(X11),X10))))]. % 6.54/6.97 [412=demod(389),[399,196,399], % 6.54/6.97 not(and_star(X10,not(and_star(X11,X10)))) = not(and_star(not(X11),not(and_star(not(X10),not(X11)))))]. % 6.54/6.97 [493=param(410,312),[85,2,200,196,2], % 6.54/6.97 not(and_star(not(and_star(X10,X11)),not(and_star(X10,not(and_star(X10,X11)))))) = X10]. % 6.54/6.97 [494=param(412,312),[85,2,200,196,196,2], % 6.54/6.97 not(and_star(X10,not(and_star(X10,not(and_star(X10,X11)))))) = not(and_star(X10,X11))]. % 6.54/6.97 [495=param(196,494),[196], % 6.54/6.97 and_star(X10,not(and_star(X10,not(and_star(X10,X11))))) = and_star(X10,X11)]. % 6.54/6.97 [496=param(495,2),[], % 6.54/6.97 and_star(X10,not(and_star(X10,not(and_star(X11,X10))))) = and_star(X10,X11)]. % 6.54/6.97 [497=param(196,493),[], % 6.54/6.97 and_star(not(and_star(X10,X11)),not(and_star(X10,not(and_star(X10,X11))))) = not(X10)]. % 6.54/6.97 [499=param(497,2),[], % 6.54/6.97 and_star(not(and_star(X10,X11)),not(and_star(X10,not(and_star(X11,X10))))) = not(X10)]. % 6.54/6.97 [749=param(496,412),[], % 6.54/6.97 and_star(not(X10),not(and_star(X11,not(and_star(X10,X11))))) = and_star(not(X10),not(X11))]. % 6.54/6.97 [751=param(749,2),[], % 6.54/6.97 and_star(not(X10),not(and_star(X11,not(and_star(X11,X10))))) = and_star(not(X10),not(X11))]. % 6.54/6.97 [808=param(499,412),[196], % 6.54/6.97 and_star(not(and_star(not(X10),not(X11))),not(and_star(X11,not(and_star(X10,X11))))) = X10]. % 6.54/6.97 [814=param(808,2),[], % 6.54/6.97 and_star(not(and_star(not(X10),not(X11))),not(and_star(X11,not(and_star(X11,X10))))) = X10]. % 6.54/6.97 [901=param(814,209),[2,751,85,198,2], % 6.54/6.97 and_star(not(X10),not(and_star(not(X10),not(X11)))) = and_star(X11,not(and_star(X11,X10)))]. % 6.54/6.97 [905=param(901,196),[196], % 6.54/6.97 and_star(X10,not(and_star(X10,not(X11)))) = and_star(X11,not(and_star(X11,not(X10))))]. % 6.54/6.97 [906=param(272,901),[196,196,905,905,18], % 6.54/6.97 thmtrue = thmfalse]. % 6.54/6.97 % SZS output end CNFRefutation % 6.54/6.97 Space: 61825 KB %------------------------------------------------------------------------------