%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n013.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 10:33:45 EDT 2022 % Result : Unsatisfiable 0.44s 1.17s % Output : CNFRefutation 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n013.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 : Sat Jul 2 10:12:44 EDT 2022 % 0.13/0.34 % CPUTime : % 0.44/1.17 Theorem Proved. % 0.44/1.17 % SZS status Unsatisfiable % 0.44/1.17 % SZS output start CNFRefutation % 0.44/1.17 [1=axiom,[], % 0.44/1.17 not(truth) = falsehood]. % 0.44/1.17 [2=axiom,[], % 0.44/1.17 and_star(X10,X11) = and_star(X11,X10)]. % 0.44/1.17 [3=axiom,[], % 0.44/1.17 and_star(and_star(X10,X11),X12) = and_star(X10,and_star(X11,X12))]. % 0.44/1.17 [4=axiom,[], % 0.44/1.17 not(or(not(X10),not(X11))) = and_star(X10,X11)]. % 0.44/1.17 [5=axiom,[], % 0.44/1.17 xor(X10,X11) = xor(X11,X10)]. % 0.44/1.17 [6=axiom,[], % 0.44/1.17 or(and(X10,not(X11)),and(not(X10),X11)) = xor(X10,X11)]. % 0.44/1.17 [9=axiom,[4], % 0.44/1.17 and(X10,X11) = and_star(X10,X11)]. % 0.44/1.17 [10=demod(6),[9,9], % 0.44/1.17 or(and_star(X10,not(X11)),and_star(not(X10),X11)) = xor(X10,X11)]. % 0.44/1.17 [11=axiom,[], % 0.44/1.17 or(X10,X11) = or(X11,X10)]. % 0.44/1.17 [12=axiom,[], % 0.44/1.17 or(or(X10,X11),X12) = or(X10,or(X11,X12))]. % 0.44/1.17 [13=axiom,[], % 0.44/1.17 implies(not(X10),X11) = or(X10,X11)]. % 0.44/1.17 [14=axiom,[13], % 0.44/1.17 implies(or(X10,not(X11)),implies(X11,X10)) = truth]. % 0.44/1.17 [15=axiom,[], % 0.44/1.17 implies(implies(X10,X11),X11) = implies(implies(X11,X10),X10)]. % 0.44/1.17 [17=axiom,[], % 0.44/1.17 implies(truth,X10) = X10]. % 0.44/1.17 [18=axiom,[], % 0.44/1.17 thtop(X10,X10) = thmfalse]. % 0.44/1.17 [19=axiom,[5,5], % 0.44/1.17 thtop(xor(x,xor(y,truth)),xor(y,xor(x,truth))) = thmtrue]. % 0.44/1.17 [21=param(3,2),[], % 0.44/1.17 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X10,X11))]. % 0.44/1.17 [22=param(3,2),[3], % 0.44/1.17 and_star(X10,and_star(X11,X12)) = and_star(X11,and_star(X10,X12))]. % 0.44/1.17 [23=param(4,1),[], % 0.44/1.17 not(or(falsehood,not(X10))) = and_star(truth,X10)]. % 0.44/1.17 [24=param(4,4),[], % 0.44/1.17 not(or(and_star(X10,X11),not(X12))) = and_star(or(not(X10),not(X11)),X12)]. % 0.44/1.17 [25=param(4,4),[], % 0.44/1.17 not(or(not(X10),and_star(X11,X12))) = and_star(X10,or(not(X11),not(X12)))]. % 0.44/1.17 [26=param(13,4),[12], % 0.44/1.17 implies(and_star(X10,X11),X12) = or(not(X10),or(not(X11),X12))]. % 0.44/1.17 [35=param(12,11),[], % 0.44/1.17 or(X10,or(X11,X12)) = or(X12,or(X10,X11))]. % 0.44/1.17 [37=param(14,1),[17], % 0.44/1.17 implies(or(X10,falsehood),X10) = truth]. % 0.44/1.17 [39=param(14,11),[], % 0.44/1.17 implies(or(not(X10),X11),implies(X10,X11)) = truth]. % 0.44/1.17 [46=param(37,11),[], % 0.44/1.17 implies(or(falsehood,X10),X10) = truth]. % 0.44/1.17 [52=param(15,17),[], % 0.44/1.17 implies(implies(X10,truth),truth) = implies(X10,X10)]. % 0.44/1.17 [56=param(52,13),[13], % 0.44/1.17 implies(or(X10,truth),truth) = or(X10,not(X10))]. % 0.44/1.17 [63=param(56,46),[], % 0.44/1.17 or(falsehood,not(falsehood)) = truth]. % 0.44/1.17 [84=param(23,63),[1,2], % 0.44/1.17 and_star(falsehood,truth) = falsehood]. % 0.44/1.17 [85=param(46,63),[17], % 0.44/1.17 not(falsehood) = truth]. % 0.44/1.17 [88=param(4,85),[], % 0.44/1.17 not(or(truth,not(X10))) = and_star(falsehood,X10)]. % 0.44/1.17 [91=param(13,85),[17], % 0.44/1.17 or(falsehood,X10) = X10]. % 0.44/1.17 [92=demod(23),[91], % 0.44/1.17 and_star(truth,X10) = not(not(X10))]. % 0.44/1.17 [102=demod(46),[91], % 0.44/1.17 implies(X10,X10) = truth]. % 0.44/1.17 [107=demod(52),[102], % 0.44/1.17 implies(implies(X10,truth),truth) = truth]. % 0.44/1.17 [113=param(102,13),[], % 0.44/1.17 or(X10,not(X10)) = truth]. % 0.44/1.17 [122=param(22,21),[], % 0.44/1.17 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X11,X10))]. % 0.44/1.17 [127=param(24,11),[], % 0.44/1.17 not(or(not(X10),and_star(X11,X12))) = and_star(or(not(X11),not(X12)),X10)]. % 0.44/1.17 [128=param(24,85),[11,2], % 0.44/1.17 and_star(falsehood,or(not(X10),not(X11))) = not(or(truth,and_star(X10,X11)))]. % 0.44/1.17 [139=param(25,2),[], % 0.44/1.17 not(or(not(X10),and_star(X11,X12))) = and_star(X10,or(not(X12),not(X11)))]. % 0.44/1.17 [140=param(25,84),[11,91,85,1,11,91], % 0.44/1.17 and_star(X10,truth) = not(not(X10))]. % 0.44/1.17 [178=param(113,88),[11,35,11], % 0.44/1.17 or(not(X10),or(truth,and_star(falsehood,X10))) = truth]. % 0.44/1.17 [194=param(39,113),[17], % 0.44/1.17 implies(X10,not(not(X10))) = truth]. % 0.44/1.17 [196=param(15,194),[17,13,11,113,17], % 0.44/1.17 not(not(X10)) = X10]. % 0.44/1.17 [198=demod(140),[196], % 0.44/1.17 and_star(X10,truth) = X10]. % 0.44/1.17 [200=demod(92),[196], % 0.44/1.17 and_star(truth,X10) = X10]. % 0.44/1.17 [203=param(24,200),[1,91], % 0.44/1.17 not(or(X10,not(X11))) = and_star(not(X10),X11)]. % 0.44/1.17 [205=demod(24),[203], % 0.44/1.17 and_star(or(not(X10),not(X11)),X12) = and_star(not(and_star(X10,X11)),X12)]. % 0.44/1.17 [207=demod(127),[205], % 0.44/1.17 not(or(not(X10),and_star(X11,X12))) = and_star(not(and_star(X11,X12)),X10)]. % 0.44/1.17 [208=demod(139),[207], % 0.44/1.17 and_star(not(and_star(X10,X11)),X12) = and_star(X12,or(not(X11),not(X10)))]. % 0.44/1.17 [210=demod(128),[-208,2], % 0.44/1.17 not(or(truth,and_star(X11,X10))) = and_star(falsehood,not(and_star(X10,X11)))]. % 0.44/1.17 [213=param(26,200),[1,91], % 0.44/1.17 implies(X10,X11) = or(not(X10),X11)]. % 0.44/1.17 [237=demod(107),[213,11,213,203,1,11], % 0.44/1.17 or(truth,and_star(falsehood,X10)) = truth]. % 0.44/1.17 [238=demod(178),[237,11], % 0.44/1.17 or(truth,not(X10)) = truth]. % 0.44/1.17 [275=param(238,196),[], % 0.44/1.17 or(truth,X10) = truth]. % 0.44/1.17 [276=demod(210),[275,1], % 0.44/1.17 and_star(falsehood,not(and_star(X10,X11))) = falsehood]. % 0.44/1.17 [301=param(276,198),[], % 0.44/1.17 and_star(falsehood,not(X10)) = falsehood]. % 0.44/1.17 [309=param(122,301),[], % 0.44/1.17 and_star(X10,falsehood) = and_star(not(X11),and_star(falsehood,X10))]. % 0.44/1.17 [310=param(301,196),[], % 0.44/1.17 and_star(falsehood,X10) = falsehood]. % 0.44/1.17 [311=demod(309),[310,2,310], % 0.44/1.17 and_star(X10,falsehood) = falsehood]. % 0.44/1.17 [384=param(203,196),[], % 0.44/1.17 not(or(X10,X11)) = and_star(not(X10),not(X11))]. % 0.44/1.17 [399=param(196,384),[], % 0.44/1.17 or(X10,X11) = not(and_star(not(X10),not(X11)))]. % 0.44/1.17 [406=demod(10),[399], % 0.44/1.17 xor(X10,X11) = not(and_star(not(and_star(X10,not(X11))),not(and_star(not(X10),X11))))]. % 0.44/1.17 [480=param(19,406),[406,1,311,85,2,200,196,2,198,196,2,406,1,311,85,2,200,196,2,198,2,406,1,311,85,2,200,196,2,198,406,196,18], % 0.44/1.17 thmtrue = thmfalse]. % 0.44/1.17 % SZS output end CNFRefutation % 0.44/1.17 Space: 382 KB %------------------------------------------------------------------------------