TSTP Solution File: LCL109-6 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% 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
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