%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : LCL109-6 : 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 10:33:28 EDT 2022 % Result : Unsatisfiable 2.08s 2.48s % Output : CNFRefutation 2.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.11 % Command : fiesta-wrapper %s % 0.11/0.33 % Computer : n013.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 03:58:29 EDT 2022 % 0.11/0.33 % CPUTime : % 2.08/2.48 Theorem Proved. % 2.08/2.48 % SZS status Unsatisfiable % 2.08/2.48 % SZS output start CNFRefutation % 2.08/2.48 [1=axiom,[], % 2.08/2.48 xor(truth,and_star(X10,xor(truth,X11))) = implies(X10,X11)]. % 2.08/2.48 [2=axiom,[], % 2.08/2.48 not(truth) = falsehood]. % 2.08/2.48 [3=axiom,[], % 2.08/2.48 and_star(X10,X11) = and_star(X11,X10)]. % 2.08/2.48 [4=axiom,[], % 2.08/2.48 and_star(and_star(X10,X11),X12) = and_star(X10,and_star(X11,X12))]. % 2.08/2.48 [5=axiom,[], % 2.08/2.48 xor(X10,X11) = xor(X11,X10)]. % 2.08/2.48 [6=axiom,[5,3,5,3], % 2.08/2.48 and_star(X10,xor(truth,and_star(xor(truth,X11),X10))) = and_star(X11,xor(truth,and_star(xor(truth,X10),X11)))]. % 2.08/2.48 [7=axiom,[], % 2.08/2.48 xor(xor(X10,truth),X11) = xor(X10,xor(truth,X11))]. % 2.08/2.48 [8=axiom,[3], % 2.08/2.48 and_star(X10,xor(truth,X10)) = falsehood]. % 2.08/2.48 [9=axiom,[], % 2.08/2.48 and_star(X10,falsehood) = falsehood]. % 2.08/2.48 [10=axiom,[], % 2.08/2.48 and_star(X10,truth) = X10]. % 2.08/2.48 [12=axiom,[], % 2.08/2.48 xor(X10,falsehood) = X10]. % 2.08/2.48 [13=axiom,[], % 2.08/2.48 xor(X10,truth) = not(X10)]. % 2.08/2.48 [14=demod(7),[13], % 2.08/2.48 xor(not(X10),X11) = xor(X10,xor(truth,X11))]. % 2.08/2.48 [15=axiom,[], % 2.08/2.48 thtop(X10,X10) = thmfalse]. % 2.08/2.48 [16=axiom,[], % 2.08/2.48 thtop(implies(implies(implies(a,b),implies(b,a)),implies(b,a)),truth) = thmtrue]. % 2.08/2.48 [19=param(1,12),[10], % 2.08/2.48 xor(truth,X10) = implies(X10,falsehood)]. % 2.08/2.48 [20=demod(14),[19], % 2.08/2.48 xor(not(X10),X11) = xor(X10,implies(X11,falsehood))]. % 2.08/2.48 [21=demod(1),[19,19], % 2.08/2.48 implies(and_star(X10,implies(X11,falsehood)),falsehood) = implies(X10,X11)]. % 2.08/2.48 [22=demod(8),[19], % 2.08/2.48 and_star(X10,implies(X10,falsehood)) = falsehood]. % 2.08/2.48 [23=demod(6),[19,19,19,19], % 2.08/2.48 and_star(X10,implies(and_star(implies(X11,falsehood),X10),falsehood)) = and_star(X11,implies(and_star(implies(X10,falsehood),X11),falsehood))]. % 2.08/2.48 [26=param(3,10),[], % 2.08/2.48 and_star(truth,X10) = X10]. % 2.08/2.48 [27=param(4,3),[], % 2.08/2.48 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X10,X11))]. % 2.08/2.48 [28=param(4,3),[4], % 2.08/2.48 and_star(X10,and_star(X11,X12)) = and_star(X11,and_star(X10,X12))]. % 2.08/2.48 [29=param(5,12),[], % 2.08/2.48 xor(falsehood,X10) = X10]. % 2.08/2.48 [30=param(5,13),[19], % 2.08/2.48 implies(X10,falsehood) = not(X10)]. % 2.08/2.48 [31=demod(22),[30], % 2.08/2.48 and_star(X10,not(X10)) = falsehood]. % 2.08/2.48 [32=demod(19),[30], % 2.08/2.48 xor(truth,X10) = not(X10)]. % 2.08/2.48 [33=demod(20),[30], % 2.08/2.48 xor(not(X10),X11) = xor(X10,not(X11))]. % 2.08/2.48 [34=demod(21),[30,30], % 2.08/2.48 not(and_star(X10,not(X11))) = implies(X10,X11)]. % 2.08/2.48 [35=demod(23),[30,30,30,30], % 2.08/2.48 and_star(X10,not(and_star(not(X11),X10))) = and_star(X11,not(and_star(not(X10),X11)))]. % 2.08/2.48 [37=param(29,13),[], % 2.08/2.48 not(falsehood) = truth]. % 2.08/2.48 [48=param(28,31),[9], % 2.08/2.48 and_star(X10,and_star(X11,not(X10))) = falsehood]. % 2.08/2.48 [49=param(33,2),[29,32], % 2.08/2.48 not(not(X10)) = X10]. % 2.08/2.48 [55=param(34,3),[], % 2.08/2.48 not(and_star(not(X10),X11)) = implies(X11,X10)]. % 2.08/2.48 [56=demod(35),[55,55], % 2.08/2.48 and_star(X10,implies(X10,X11)) = and_star(X11,implies(X11,X10))]. % 2.08/2.48 [59=param(34,26),[49], % 2.08/2.48 implies(truth,X10) = X10]. % 2.08/2.48 [60=param(34,31),[37], % 2.08/2.48 implies(X10,X10) = truth]. % 2.08/2.48 [63=param(34,49),[], % 2.08/2.48 not(and_star(X10,X11)) = implies(X10,not(X11))]. % 2.08/2.48 [68=demod(55),[63], % 2.08/2.48 implies(not(X10),not(X11)) = implies(X11,X10)]. % 2.08/2.48 [72=param(63,3),[63], % 2.08/2.48 implies(X10,not(X11)) = implies(X11,not(X10))]. % 2.08/2.48 [73=param(63,27),[63,63,63], % 2.08/2.48 implies(X10,implies(X11,not(X12))) = implies(X11,implies(X12,not(X10)))]. % 2.08/2.48 [77=param(63,48),[37,63,49], % 2.08/2.48 implies(X10,implies(X11,X10)) = truth]. % 2.08/2.48 [78=param(49,63),[], % 2.08/2.48 and_star(X10,X11) = not(implies(X10,not(X11)))]. % 2.08/2.48 [80=demod(3),[78,78], % 2.08/2.48 not(implies(X10,not(X11))) = not(implies(X11,not(X10)))]. % 2.08/2.48 [82=demod(56),[78,78], % 2.08/2.48 not(implies(X10,not(implies(X10,X11)))) = not(implies(X11,not(implies(X11,X10))))]. % 2.08/2.48 [101=param(68,49),[], % 2.08/2.48 implies(not(X10),X11) = implies(not(X11),X10)]. % 2.08/2.48 [102=param(77,68),[], % 2.08/2.48 implies(not(X10),implies(X10,X11)) = truth]. % 2.08/2.48 [103=param(16,68),[-68], % 2.08/2.48 thtop(implies(not(implies(b,a)),not(implies(not(implies(b,a)),not(implies(a,b))))),truth) = thmtrue]. % 2.08/2.48 [113=param(73,49),[], % 2.08/2.48 implies(X10,implies(X11,X12)) = implies(X11,implies(not(X12),not(X10)))]. % 2.08/2.48 [122=demod(102),[], % 2.08/2.48 implies(not(X10),implies(X10,X11)) = truth]. % 2.08/2.48 [160=param(103,80),[49,113], % 2.08/2.48 thtop(implies(not(implies(b,a)),not(implies(b,implies(not(a),not(implies(a,b)))))),truth) = thmtrue]. % 2.08/2.48 [196=param(49,82),[49], % 2.08/2.48 implies(X10,not(implies(X10,X11))) = implies(X11,not(implies(X11,X10)))]. % 2.08/2.48 [389=param(113,101),[49], % 2.08/2.48 implies(not(implies(X10,X11)),X12) = implies(X10,implies(not(X11),X12))]. % 2.08/2.48 [400=param(389,82),[389,49,49], % 2.08/2.48 implies(X10,implies(implies(X10,X11),X12)) = implies(X11,implies(implies(X11,X10),X12))]. % 2.08/2.48 [468=param(196,68),[], % 2.08/2.48 implies(X10,not(implies(not(X11),not(X10)))) = implies(X11,not(implies(X11,X10)))]. % 2.08/2.48 [469=param(196,82),[-68,49,122,2,30,49], % 2.08/2.48 implies(X10,not(implies(X11,not(implies(X11,X10))))) = implies(X10,X11)]. % 2.08/2.48 [471=param(196,122),[2,30,49,72], % 2.08/2.48 implies(implies(X10,X11),not(implies(X10,not(implies(X10,X11))))) = X10]. % 2.08/2.48 [476=param(469,68),[468], % 2.08/2.48 implies(X10,not(implies(X10,not(implies(X10,X11))))) = implies(X10,X11)]. % 2.08/2.48 [484=param(471,196),[476], % 2.08/2.48 implies(implies(X10,not(implies(X10,X11))),not(implies(X11,X10))) = X11]. % 2.08/2.48 [749=param(400,484),[-68,49,122,59,389], % 2.08/2.48 implies(X10,implies(not(X11),not(implies(X11,X10)))) = implies(X10,X11)]. % 2.08/2.48 [753=param(160,749),[60,15], % 2.08/2.48 thmtrue = thmfalse]. % 2.08/2.48 % SZS output end CNFRefutation % 2.08/2.48 Space: 12126 KB %------------------------------------------------------------------------------