TSTP Solution File: LCL157-1 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : LCL157-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n016.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 0.69s 1.11s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL157-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : fiesta-wrapper %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 00:34:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.11 Theorem Proved.
% 0.69/1.11 % SZS status Unsatisfiable
% 0.69/1.11 % SZS output start CNFRefutation
% 0.69/1.11 [1=axiom,[],
% 0.69/1.11 not(truth) = falsehood].
% 0.69/1.11 [2=axiom,[],
% 0.69/1.11 and_star(X10,X11) = and_star(X11,X10)].
% 0.69/1.11 [3=axiom,[],
% 0.69/1.11 and_star(and_star(X10,X11),X12) = and_star(X10,and_star(X11,X12))].
% 0.69/1.11 [4=axiom,[],
% 0.69/1.11 not(or(not(X10),not(X11))) = and_star(X10,X11)].
% 0.69/1.11 [11=axiom,[],
% 0.69/1.11 or(X10,X11) = or(X11,X10)].
% 0.69/1.11 [12=axiom,[],
% 0.69/1.11 or(or(X10,X11),X12) = or(X10,or(X11,X12))].
% 0.69/1.11 [13=axiom,[],
% 0.69/1.11 implies(not(X10),X11) = or(X10,X11)].
% 0.69/1.11 [14=axiom,[13],
% 0.69/1.11 implies(or(X10,not(X11)),implies(X11,X10)) = truth].
% 0.69/1.11 [15=axiom,[],
% 0.69/1.11 implies(implies(X10,X11),X11) = implies(implies(X11,X10),X10)].
% 0.69/1.11 [17=axiom,[],
% 0.69/1.11 implies(truth,X10) = X10].
% 0.69/1.11 [18=axiom,[],
% 0.69/1.11 thtop(X10,X10) = thmfalse].
% 0.69/1.11 [19=axiom,[],
% 0.69/1.11 thtop(and_star(x,falsehood),falsehood) = thmtrue].
% 0.69/1.11 [21=param(3,2),[],
% 0.69/1.11 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X10,X11))].
% 0.69/1.11 [22=param(3,2),[3],
% 0.69/1.11 and_star(X10,and_star(X11,X12)) = and_star(X11,and_star(X10,X12))].
% 0.69/1.11 [23=param(4,1),[],
% 0.69/1.11 not(or(falsehood,not(X10))) = and_star(truth,X10)].
% 0.69/1.11 [24=param(4,4),[],
% 0.69/1.11 not(or(and_star(X10,X11),not(X12))) = and_star(or(not(X10),not(X11)),X12)].
% 0.69/1.11 [25=param(4,4),[],
% 0.69/1.11 not(or(not(X10),and_star(X11,X12))) = and_star(X10,or(not(X11),not(X12)))].
% 0.69/1.11 [26=param(13,4),[12],
% 0.69/1.11 implies(and_star(X10,X11),X12) = or(not(X10),or(not(X11),X12))].
% 0.69/1.11 [35=param(12,11),[],
% 0.69/1.11 or(X10,or(X11,X12)) = or(X12,or(X10,X11))].
% 0.69/1.11 [37=param(14,1),[17],
% 0.69/1.11 implies(or(X10,falsehood),X10) = truth].
% 0.69/1.11 [39=param(14,11),[],
% 0.69/1.11 implies(or(not(X10),X11),implies(X10,X11)) = truth].
% 0.69/1.11 [46=param(37,11),[],
% 0.69/1.11 implies(or(falsehood,X10),X10) = truth].
% 0.69/1.11 [52=param(15,17),[],
% 0.69/1.11 implies(implies(X10,truth),truth) = implies(X10,X10)].
% 0.69/1.11 [56=param(52,13),[13],
% 0.69/1.11 implies(or(X10,truth),truth) = or(X10,not(X10))].
% 0.69/1.11 [63=param(56,46),[],
% 0.69/1.11 or(falsehood,not(falsehood)) = truth].
% 0.69/1.11 [84=param(23,63),[1,2],
% 0.69/1.11 and_star(falsehood,truth) = falsehood].
% 0.69/1.11 [85=param(46,63),[17],
% 0.69/1.11 not(falsehood) = truth].
% 0.69/1.11 [88=param(4,85),[],
% 0.69/1.11 not(or(truth,not(X10))) = and_star(falsehood,X10)].
% 0.69/1.11 [91=param(13,85),[17],
% 0.69/1.11 or(falsehood,X10) = X10].
% 0.69/1.11 [92=demod(23),[91],
% 0.69/1.11 and_star(truth,X10) = not(not(X10))].
% 0.69/1.11 [102=demod(46),[91],
% 0.69/1.11 implies(X10,X10) = truth].
% 0.69/1.11 [107=demod(52),[102],
% 0.69/1.11 implies(implies(X10,truth),truth) = truth].
% 0.69/1.11 [113=param(102,13),[],
% 0.69/1.11 or(X10,not(X10)) = truth].
% 0.69/1.11 [122=param(22,21),[],
% 0.69/1.11 and_star(X10,and_star(X11,X12)) = and_star(X12,and_star(X11,X10))].
% 0.69/1.11 [127=param(24,11),[],
% 0.69/1.11 not(or(not(X10),and_star(X11,X12))) = and_star(or(not(X11),not(X12)),X10)].
% 0.69/1.11 [128=param(24,85),[11,2],
% 0.69/1.11 and_star(falsehood,or(not(X10),not(X11))) = not(or(truth,and_star(X10,X11)))].
% 0.69/1.11 [139=param(25,2),[],
% 0.69/1.11 not(or(not(X10),and_star(X11,X12))) = and_star(X10,or(not(X12),not(X11)))].
% 0.69/1.11 [140=param(25,84),[11,91,85,1,11,91],
% 0.69/1.11 and_star(X10,truth) = not(not(X10))].
% 0.69/1.11 [178=param(113,88),[11,35,11],
% 0.69/1.11 or(not(X10),or(truth,and_star(falsehood,X10))) = truth].
% 0.69/1.11 [194=param(39,113),[17],
% 0.69/1.11 implies(X10,not(not(X10))) = truth].
% 0.69/1.11 [196=param(15,194),[17,13,11,113,17],
% 0.69/1.11 not(not(X10)) = X10].
% 0.69/1.11 [198=demod(140),[196],
% 0.69/1.11 and_star(X10,truth) = X10].
% 0.69/1.11 [200=demod(92),[196],
% 0.69/1.11 and_star(truth,X10) = X10].
% 0.69/1.11 [203=param(24,200),[1,91],
% 0.69/1.11 not(or(X10,not(X11))) = and_star(not(X10),X11)].
% 0.69/1.11 [205=demod(24),[203],
% 0.69/1.11 and_star(or(not(X10),not(X11)),X12) = and_star(not(and_star(X10,X11)),X12)].
% 0.69/1.11 [207=demod(127),[205],
% 0.69/1.11 not(or(not(X10),and_star(X11,X12))) = and_star(not(and_star(X11,X12)),X10)].
% 0.69/1.11 [208=demod(139),[207],
% 0.69/1.11 and_star(not(and_star(X10,X11)),X12) = and_star(X12,or(not(X11),not(X10)))].
% 0.69/1.11 [210=demod(128),[-208,2],
% 0.69/1.11 not(or(truth,and_star(X11,X10))) = and_star(falsehood,not(and_star(X10,X11)))].
% 0.69/1.11 [213=param(26,200),[1,91],
% 0.69/1.11 implies(X10,X11) = or(not(X10),X11)].
% 0.69/1.11 [237=demod(107),[213,11,213,203,1,11],
% 0.69/1.11 or(truth,and_star(falsehood,X10)) = truth].
% 0.69/1.11 [238=demod(178),[237,11],
% 0.69/1.11 or(truth,not(X10)) = truth].
% 0.69/1.11 [274=param(238,196),[],
% 0.69/1.11 or(truth,X10) = truth].
% 0.69/1.11 [275=demod(210),[274,1],
% 0.69/1.11 and_star(falsehood,not(and_star(X10,X11))) = falsehood].
% 0.69/1.11 [304=param(275,198),[],
% 0.69/1.11 and_star(falsehood,not(X10)) = falsehood].
% 0.69/1.11 [311=param(122,304),[],
% 0.69/1.11 and_star(X10,falsehood) = and_star(not(X11),and_star(falsehood,X10))].
% 0.69/1.11 [312=param(304,196),[],
% 0.69/1.11 and_star(falsehood,X10) = falsehood].
% 0.69/1.11 [313=demod(311),[312,2,312],
% 0.69/1.11 and_star(X10,falsehood) = falsehood].
% 0.69/1.11 [318=param(19,313),[18],
% 0.69/1.11 thmtrue = thmfalse].
% 0.69/1.11 % SZS output end CNFRefutation
% 0.69/1.11 Space: 208 KB
%------------------------------------------------------------------------------