TSTP Solution File: LCL109-6 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 09:41:03 EDT 2022
% Result : Unsatisfiable 14.81s 15.15s
% Output : Refutation 14.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 11
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 4 RR)
% Number of literals : 91 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 187 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(not(A),xor(A,truth)),
file('LCL109-6.p',unknown),
[] ).
cnf(2,plain,
equal(xor(A,falsehood),A),
file('LCL109-6.p',unknown),
[] ).
cnf(3,plain,
equal(xor(A,A),falsehood),
file('LCL109-6.p',unknown),
[] ).
cnf(4,plain,
equal(and_star(A,truth),A),
file('LCL109-6.p',unknown),
[] ).
cnf(5,plain,
equal(and_star(A,falsehood),falsehood),
file('LCL109-6.p',unknown),
[] ).
cnf(6,plain,
equal(and_star(xor(truth,A),A),falsehood),
file('LCL109-6.p',unknown),
[] ).
cnf(7,plain,
equal(xor(xor(A,truth),B),xor(A,xor(truth,B))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(and_star(xor(and_star(xor(truth,A),B),truth),B),and_star(xor(and_star(xor(truth,B),A),truth),A)),
file('LCL109-6.p',unknown),
[] ).
cnf(9,plain,
equal(xor(A,B),xor(B,A)),
file('LCL109-6.p',unknown),
[] ).
cnf(10,plain,
equal(and_star(and_star(A,B),C),and_star(A,and_star(B,C))),
file('LCL109-6.p',unknown),
[] ).
cnf(11,plain,
equal(and_star(A,B),and_star(B,A)),
file('LCL109-6.p',unknown),
[] ).
cnf(12,plain,
equal(xor(truth,and_star(A,xor(truth,B))),implies(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(13,plain,
~ equal(implies(implies(implies(a,b),implies(b,a)),implies(b,a)),truth),
file('LCL109-6.p',unknown),
[] ).
cnf(14,plain,
equal(xor(falsehood,A),A),
inference(para,[status(thm),theory(equality)],[9,2]),
[iquote('para(9,2)')] ).
cnf(15,plain,
equal(and_star(truth,A),A),
inference(para,[status(thm),theory(equality)],[11,4]),
[iquote('para(11,4)')] ).
cnf(17,plain,
equal(xor(truth,xor(truth,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,7]),14]),1]),
[iquote('para(3,7),demod([14]),flip(1)')] ).
cnf(18,plain,
equal(and_star(falsehood,A),falsehood),
inference(para,[status(thm),theory(equality)],[11,5]),
[iquote('para(11,5)')] ).
cnf(21,plain,
equal(and_star(A,xor(truth,A)),falsehood),
inference(para,[status(thm),theory(equality)],[11,6]),
[iquote('para(11,6)')] ).
cnf(27,plain,
equal(and_star(xor(and_star(xor(truth,A),B),truth),B),and_star(xor(truth,and_star(xor(truth,B),A)),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,8]),1]),
[iquote('para(9,8),flip(1)')] ).
cnf(29,plain,
equal(and_star(xor(truth,and_star(xor(truth,A),B)),B),and_star(xor(truth,and_star(xor(truth,B),A)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),27,27]),
[iquote('back_demod(8),demod([27,27])')] ).
cnf(32,plain,
equal(and_star(xor(truth,A),and_star(A,B)),falsehood),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,10]),18]),1]),
[iquote('para(6,10),demod([18]),flip(1)')] ).
cnf(36,plain,
equal(xor(truth,A),implies(A,falsehood)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,12]),4]),
[iquote('para(2,12),demod([4])')] ).
cnf(37,plain,
equal(and_star(implies(A,falsehood),and_star(A,B)),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[32]),36]),
[iquote('back_demod(32),demod([36])')] ).
cnf(39,plain,
equal(and_star(implies(and_star(implies(A,falsehood),B),falsehood),B),and_star(implies(and_star(implies(B,falsehood),A),falsehood),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),36,36,36,36]),
[iquote('back_demod(29),demod([36,36,36,36])')] ).
cnf(45,plain,
equal(and_star(A,implies(A,falsehood)),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),36]),
[iquote('back_demod(21),demod([36])')] ).
cnf(46,plain,
equal(implies(implies(A,falsehood),falsehood),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),36,36]),
[iquote('back_demod(17),demod([36,36])')] ).
cnf(47,plain,
equal(implies(and_star(A,implies(B,falsehood)),falsehood),implies(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),36,36]),
[iquote('back_demod(12),demod([36,36])')] ).
cnf(50,plain,
equal(implies(falsehood,falsehood),truth),
inference(para,[status(thm),theory(equality)],[36,2]),
[iquote('para(36,2)')] ).
cnf(70,plain,
equal(implies(truth,A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,47]),46]),1]),
[iquote('para(15,47),demod([46]),flip(1)')] ).
cnf(73,plain,
equal(implies(falsehood,A),truth),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,47]),50]),1]),
[iquote('para(18,47),demod([50]),flip(1)')] ).
cnf(78,plain,
equal(implies(A,truth),truth),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,47]),5,73]),1]),
[iquote('para(70,47),demod([5,73]),flip(1)')] ).
cnf(82,plain,
equal(and_star(implies(and_star(implies(A,falsehood),B),falsehood),B),and_star(implies(A,B),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,39]),47]),1]),
[iquote('para(11,39),demod([47]),flip(1)')] ).
cnf(84,plain,
equal(and_star(implies(A,B),A),and_star(implies(B,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),82,82]),
[iquote('back_demod(39),demod([82,82])')] ).
cnf(85,plain,
equal(implies(and_star(A,and_star(B,implies(C,falsehood))),falsehood),implies(and_star(A,B),C)),
inference(para,[status(thm),theory(equality)],[10,47]),
[iquote('para(10,47)')] ).
cnf(86,plain,
equal(implies(and_star(implies(A,falsehood),B),falsehood),implies(B,A)),
inference(para,[status(thm),theory(equality)],[11,47]),
[iquote('para(11,47)')] ).
cnf(88,plain,
equal(and_star(A,and_star(implies(B,falsehood),implies(A,B))),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[47,45]),10]),
[iquote('para(47,45),demod([10])')] ).
cnf(89,plain,
equal(implies(A,A),truth),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[45,47]),73]),1]),
[iquote('para(45,47),demod([73]),flip(1)')] ).
cnf(90,plain,
equal(and_star(implies(A,B),and_star(A,and_star(implies(B,falsehood),C))),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[47,37]),10]),
[iquote('para(47,37),demod([10])')] ).
cnf(93,plain,
equal(implies(implies(A,B),falsehood),and_star(A,implies(B,falsehood))),
inference(para,[status(thm),theory(equality)],[47,46]),
[iquote('para(47,46)')] ).
cnf(94,plain,
equal(implies(and_star(A,B),falsehood),implies(A,implies(B,falsehood))),
inference(para,[status(thm),theory(equality)],[46,47]),
[iquote('para(46,47)')] ).
cnf(95,plain,
equal(implies(implies(A,falsehood),implies(B,falsehood)),implies(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[86]),94]),
[iquote('back_demod(86),demod([94])')] ).
cnf(96,plain,
equal(implies(A,B),implies(implies(B,falsehood),implies(A,falsehood))),
inference(flip,[status(thm),theory(equality)],[95]),
[iquote('flip(95)')] ).
cnf(97,plain,
equal(implies(and_star(A,B),C),implies(A,implies(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[85]),94,94,93,89,4]),1]),
[iquote('back_demod(85),demod([94,94,93,89,4]),flip(1)')] ).
cnf(101,plain,
equal(implies(A,implies(B,and_star(A,B))),truth),
inference(para,[status(thm),theory(equality)],[97,89]),
[iquote('para(97,89)')] ).
cnf(102,plain,
equal(and_star(implies(A,B),A),and_star(B,implies(B,A))),
inference(para,[status(thm),theory(equality)],[84,11]),
[iquote('para(84,11)')] ).
cnf(103,plain,
equal(and_star(A,implies(A,B)),and_star(implies(B,A),B)),
inference(flip,[status(thm),theory(equality)],[102]),
[iquote('flip(102)')] ).
cnf(107,plain,
equal(and_star(implies(A,falsehood),and_star(implies(B,A),B)),falsehood),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[88,11]),10]),1]),
[iquote('para(88,11),demod([10]),flip(1)')] ).
cnf(188,plain,
equal(implies(A,implies(implies(B,implies(A,falsehood)),implies(B,falsehood))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,101]),93,97,97]),
[iquote('para(96,101),demod([93,97,97])')] ).
cnf(446,plain,
equal(and_star(A,and_star(B,and_star(implies(C,falsehood),implies(A,implies(B,C))))),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,88]),10]),
[iquote('para(93,88),demod([10])')] ).
cnf(448,plain,
equal(implies(A,implies(implies(B,falsehood),implies(C,falsehood))),implies(C,implies(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,95]),97]),
[iquote('para(93,95),demod([97])')] ).
cnf(452,plain,
equal(implies(A,implies(B,falsehood)),implies(B,implies(A,falsehood))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,448]),70]),
[iquote('para(73,448),demod([70])')] ).
cnf(454,plain,
equal(implies(A,implies(B,A)),truth),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,448]),78]),1]),
[iquote('para(89,448),demod([78]),flip(1)')] ).
cnf(488,plain,
equal(implies(implies(A,falsehood),implies(B,implies(C,falsehood))),implies(B,implies(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[97,95]),97]),
[iquote('para(97,95),demod([97])')] ).
cnf(490,plain,
equal(implies(implies(A,falsehood),implies(A,B)),truth),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,488]),78]),1]),
[iquote('para(89,488),demod([78]),flip(1)')] ).
cnf(542,plain,
equal(and_star(implies(A,B),and_star(A,and_star(implies(C,implies(B,falsehood)),C))),falsehood),
inference(para,[status(thm),theory(equality)],[103,90]),
[iquote('para(103,90)')] ).
cnf(1272,plain,
equal(and_star(A,and_star(implies(B,falsehood),and_star(implies(A,implies(C,B)),C))),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,446]),10]),
[iquote('para(11,446),demod([10])')] ).
cnf(1553,plain,
equal(and_star(A,and_star(implies(B,and_star(C,implies(A,falsehood))),B)),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[454,542]),93,15]),
[iquote('para(454,542),demod([93,15])')] ).
cnf(1557,plain,
equal(and_star(A,and_star(implies(B,and_star(implies(A,falsehood),C)),B)),falsehood),
inference(para,[status(thm),theory(equality)],[11,1553]),
[iquote('para(11,1553)')] ).
cnf(1582,plain,
equal(and_star(A,and_star(B,implies(B,and_star(implies(A,falsehood),C)))),falsehood),
inference(para,[status(thm),theory(equality)],[11,1557]),
[iquote('para(11,1557)')] ).
cnf(1623,plain,
equal(and_star(A,and_star(implies(A,and_star(implies(B,falsehood),C)),B)),falsehood),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1582,11]),10]),1]),
[iquote('para(1582,11),demod([10]),flip(1)')] ).
cnf(1808,plain,
equal(and_star(implies(A,falsehood),and_star(implies(B,implies(C,A)),and_star(C,B))),falsehood),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1272,11]),10,10]),1]),
[iquote('para(1272,11),demod([10,10]),flip(1)')] ).
cnf(3104,plain,
equal(implies(A,implies(B,and_star(B,A))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,188]),93,89,4,93,93,89,4]),
[iquote('para(96,188),demod([93,89,4,93,93,89,4])')] ).
cnf(3136,plain,
equal(and_star(implies(A,and_star(A,B)),implies(implies(A,and_star(A,B)),B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3104,102]),15]),1]),
[iquote('para(3104,102),demod([15]),flip(1)')] ).
cnf(3142,plain,
equal(implies(implies(A,B),implies(A,and_star(implies(B,A),B))),truth),
inference(para,[status(thm),theory(equality)],[103,3104]),
[iquote('para(103,3104)')] ).
cnf(7602,plain,
equal(and_star(A,and_star(implies(A,and_star(B,and_star(implies(C,falsehood),D))),implies(B,C))),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,1623]),10]),
[iquote('para(93,1623),demod([10])')] ).
cnf(7610,plain,
equal(and_star(A,and_star(implies(A,and_star(B,C)),implies(B,falsehood))),falsehood),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,7602]),15]),
[iquote('para(73,7602),demod([15])')] ).
cnf(7616,plain,
equal(and_star(implies(A,and_star(B,C)),and_star(implies(B,falsehood),A)),falsehood),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7610,11]),10]),1]),
[iquote('para(7610,11),demod([10]),flip(1)')] ).
cnf(7666,plain,
equal(and_star(implies(A,falsehood),and_star(B,implies(B,and_star(A,C)))),falsehood),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7616,11]),10]),1]),
[iquote('para(7616,11),demod([10]),flip(1)')] ).
cnf(7801,plain,
equal(implies(A,implies(implies(A,and_star(B,C)),B)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7666,3104]),93,89,4,97]),
[iquote('para(7666,3104),demod([93,89,4,97])')] ).
cnf(7802,plain,
equal(implies(A,implies(implies(A,and_star(B,C)),C)),truth),
inference(para,[status(thm),theory(equality)],[11,7801]),
[iquote('para(11,7801)')] ).
cnf(8029,plain,
equal(implies(A,implies(implies(A,and_star(implies(B,C),B)),C)),truth),
inference(para,[status(thm),theory(equality)],[103,7801]),
[iquote('para(103,7801)')] ).
cnf(8046,plain,
equal(implies(A,implies(implies(A,and_star(B,implies(B,C))),C)),truth),
inference(para,[status(thm),theory(equality)],[11,8029]),
[iquote('para(11,8029)')] ).
cnf(8224,plain,
equal(implies(A,implies(B,implies(implies(A,implies(B,and_star(C,D))),D))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[97,7802]),97]),
[iquote('para(97,7802),demod([97])')] ).
cnf(8225,plain,
equal(implies(implies(A,and_star(B,C)),implies(A,C)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,8224]),70]),
[iquote('para(89,8224),demod([70])')] ).
cnf(9079,plain,
equal(implies(A,and_star(implies(B,A),B)),implies(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3142,84]),15,8225,15]),1]),
[iquote('para(3142,84),demod([15,8225,15]),flip(1)')] ).
cnf(9095,plain,
equal(implies(A,and_star(B,implies(B,A))),implies(A,B)),
inference(para,[status(thm),theory(equality)],[11,9079]),
[iquote('para(11,9079)')] ).
cnf(9190,plain,
equal(implies(implies(implies(A,B),implies(A,falsehood)),implies(B,falsehood)),implies(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9079,96]),97]),1]),
[iquote('para(9079,96),demod([97]),flip(1)')] ).
cnf(16337,plain,
equal(implies(A,implies(B,and_star(A,implies(C,and_star(C,B))))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[452,8046]),93,97,93,93,89,4]),
[iquote('para(452,8046),demod([93,97,93,93,89,4])')] ).
cnf(20175,plain,
equal(implies(A,implies(implies(B,C),implies(B,and_star(A,C)))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[107,16337]),93,89,4,97]),
[iquote('para(107,16337),demod([93,89,4,97])')] ).
cnf(20178,plain,
equal(implies(A,implies(implies(B,C),implies(B,and_star(C,A)))),truth),
inference(para,[status(thm),theory(equality)],[11,20175]),
[iquote('para(11,20175)')] ).
cnf(23396,plain,
equal(implies(implies(A,implies(B,C)),implies(B,implies(A,C))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1808,3104]),93,89,4,97,97]),
[iquote('para(1808,3104),demod([93,89,4,97,97])')] ).
cnf(23407,plain,
equal(implies(A,implies(B,C)),implies(B,implies(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23396,84]),15,23396,15]),
[iquote('para(23396,84),demod([15,23396,15])')] ).
cnf(23569,plain,
~ equal(implies(b,implies(implies(implies(a,b),implies(b,a)),a)),truth),
inference(para,[status(thm),theory(equality)],[23407,13]),
[iquote('para(23407,13)')] ).
cnf(25120,plain,
equal(implies(implies(A,falsehood),B),implies(implies(B,and_star(B,A)),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3104,9190]),70,93,97,9095]),
[iquote('para(3104,9190),demod([70,93,97,9095])')] ).
cnf(25150,plain,
equal(implies(implies(A,and_star(A,B)),B),implies(implies(A,falsehood),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25120,96]),93,89,4]),
[iquote('para(25120,96),demod([93,89,4])')] ).
cnf(25156,plain,
equal(and_star(implies(A,and_star(A,B)),implies(implies(A,falsehood),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3136]),25150]),
[iquote('back_demod(3136),demod([25150])')] ).
cnf(25259,plain,
equal(and_star(implies(A,and_star(A,B)),implies(implies(B,falsehood),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,25156]),93,89,4]),
[iquote('para(96,25156),demod([93,89,4])')] ).
cnf(25264,plain,
equal(implies(implies(A,B),and_star(implies(A,B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[490,25259]),4]),
[iquote('para(490,25259),demod([4])')] ).
cnf(25268,plain,
equal(implies(implies(A,B),and_star(implies(B,A),B)),A),
inference(para,[status(thm),theory(equality)],[84,25264]),
[iquote('para(84,25264)')] ).
cnf(27075,plain,
equal(implies(A,implies(implies(implies(B,A),implies(A,B)),B)),truth),
inference(para,[status(thm),theory(equality)],[25268,20178]),
[iquote('para(25268,20178)')] ).
cnf(27076,plain,
$false,
inference(conflict,[status(thm)],[27075,23569]),
[iquote('conflict(27075,23569)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : LCL109-6 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_eqp %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 04:09:56 EDT 2022
% 0.15/0.36 % CPUTime :
% 14.81/15.15 ----- EQP 0.9e, May 2009 -----
% 14.81/15.15 The job began on n029.cluster.edu, Mon Jul 4 04:09:57 2022
% 14.81/15.15 The command was "./eqp09e".
% 14.81/15.15
% 14.81/15.15 set(prolog_style_variables).
% 14.81/15.15 set(lrpo).
% 14.81/15.15 set(basic_paramod).
% 14.81/15.15 set(functional_subsume).
% 14.81/15.15 set(ordered_paramod).
% 14.81/15.15 set(prime_paramod).
% 14.81/15.15 set(para_pairs).
% 14.81/15.15 assign(pick_given_ratio,4).
% 14.81/15.15 clear(print_kept).
% 14.81/15.15 clear(print_new_demod).
% 14.81/15.15 clear(print_back_demod).
% 14.81/15.15 clear(print_given).
% 14.81/15.15 assign(max_mem,64000).
% 14.81/15.15 end_of_commands.
% 14.81/15.15
% 14.81/15.15 Usable:
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Sos:
% 14.81/15.15 0 (wt=-1) [] not(A) = xor(A,truth).
% 14.81/15.15 0 (wt=-1) [] xor(A,falsehood) = A.
% 14.81/15.15 0 (wt=-1) [] xor(A,A) = falsehood.
% 14.81/15.15 0 (wt=-1) [] and_star(A,truth) = A.
% 14.81/15.15 0 (wt=-1) [] and_star(A,falsehood) = falsehood.
% 14.81/15.15 0 (wt=-1) [] and_star(xor(truth,A),A) = falsehood.
% 14.81/15.15 0 (wt=-1) [] xor(A,xor(truth,B)) = xor(xor(A,truth),B).
% 14.81/15.15 0 (wt=-1) [] and_star(xor(and_star(xor(truth,A),B),truth),B) = and_star(xor(and_star(xor(truth,B),A),truth),A).
% 14.81/15.15 0 (wt=-1) [] xor(A,B) = xor(B,A).
% 14.81/15.15 0 (wt=-1) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 14.81/15.15 0 (wt=-1) [] and_star(A,B) = and_star(B,A).
% 14.81/15.15 0 (wt=-1) [] not(truth) = falsehood.
% 14.81/15.15 0 (wt=-1) [] implies(A,B) = xor(truth,and_star(A,xor(truth,B))).
% 14.81/15.15 0 (wt=-1) [] -(implies(implies(implies(a,b),implies(b,a)),implies(b,a)) = truth).
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Demodulators:
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Passive:
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Starting to process input.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 1 (wt=6) [] not(A) = xor(A,truth).
% 14.81/15.15 1 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 2 (wt=5) [] xor(A,falsehood) = A.
% 14.81/15.15 2 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 3 (wt=5) [] xor(A,A) = falsehood.
% 14.81/15.15 3 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 4 (wt=5) [] and_star(A,truth) = A.
% 14.81/15.15 4 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 14.81/15.15 5 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 14.81/15.15 6 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 14.81/15.15 7 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 8 (wt=19) [] and_star(xor(and_star(xor(truth,A),B),truth),B) = and_star(xor(and_star(xor(truth,B),A),truth),A).
% 14.81/15.15 clause forward subsumed: 0 (wt=19) [flip(8)] and_star(xor(and_star(xor(truth,B),A),truth),A) = and_star(xor(and_star(xor(truth,A),B),truth),B).
% 14.81/15.15
% 14.81/15.15 ** KEPT: 9 (wt=7) [] xor(A,B) = xor(B,A).
% 14.81/15.15 clause forward subsumed: 0 (wt=7) [flip(9)] xor(B,A) = xor(A,B).
% 14.81/15.15
% 14.81/15.15 ** KEPT: 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 14.81/15.15 10 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 11 (wt=7) [] and_star(A,B) = and_star(B,A).
% 14.81/15.15 clause forward subsumed: 0 (wt=7) [flip(11)] and_star(B,A) = and_star(A,B).
% 14.81/15.15 clause forward subsumed: 0 (wt=3) [demod([1,3])] falsehood = falsehood.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 14.81/15.15 12 is a new demodulator.
% 14.81/15.15
% 14.81/15.15 ** KEPT: 13 (wt=13) [] -(implies(implies(implies(a,b),implies(b,a)),implies(b,a)) = truth).
% 14.81/15.15 ---------------- PROOF FOUND ----------------
% 14.81/15.15 % SZS status Unsatisfiable
% 14.81/15.15
% 14.81/15.15
% 14.81/15.15 After processing input:
% 14.81/15.15
% 14.81/15.15 Usable:
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Sos:
% 14.81/15.15 2 (wt=5) [] xor(A,falsehood) = A.
% 14.81/15.15 3 (wt=5) [] xor(A,A) = falsehood.
% 14.81/15.15 4 (wt=5) [] and_star(A,truth) = A.
% 14.81/15.15 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 14.81/15.15 1 (wt=6) [] not(A) = xor(A,truth).
% 14.81/15.15 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 14.81/15.15 9 (wt=7) [] xor(A,B) = xor(B,A).
% 14.81/15.15 11 (wt=7) [] and_star(A,B) = and_star(B,A).
% 14.81/15.15 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 14.81/15.15 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 14.81/15.15 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 14.81/15.15 13 (wt=13) [] -(implies(implies(implies(a,b),implies(b,a)),implies(b,a)) = truth).
% 14.81/15.15 8 (wt=19) [] and_star(xor(and_star(xor(truth,A),B),truth),B) = and_star(xor(and_star(xor(truth,B),A),truth),A).
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Demodulators:
% 14.81/15.15 1 (wt=6) [] not(A) = xor(A,truth).
% 14.81/15.15 2 (wt=5) [] xor(A,falsehood) = A.
% 14.81/15.15 3 (wt=5) [] xor(A,A) = falsehood.
% 14.81/15.15 4 (wt=5) [] and_star(A,truth) = A.
% 14.81/15.15 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 14.81/15.15 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 14.81/15.15 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 14.81/15.15 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 14.81/15.15 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 Passive:
% 14.81/15.15 end_of_list.
% 14.81/15.15
% 14.81/15.15 UNIT CONFLICT from 27075 and 23569 at 12.25 seconds.
% 14.81/15.15
% 14.81/15.15 ---------------- PROOF ----------------
% 14.81/15.15 % SZS output start Refutation
% See solution above
% 14.81/15.15 ------------ end of proof -------------
% 14.81/15.15
% 14.81/15.15
% 14.81/15.15 ------------- memory usage ------------
% 14.81/15.15 Memory dynamically allocated (tp_alloc): 49804.
% 14.81/15.15 type (bytes each) gets frees in use avail bytes
% 14.81/15.15 sym_ent ( 96) 59 0 59 0 5.5 K
% 14.81/15.15 term ( 16) 5844273 5093142 751131 20 14565.1 K
% 14.81/15.15 gen_ptr ( 8) 4803687 925348 3878339 90 30300.2 K
% 14.81/15.15 context ( 808) 3979622 3979620 2 7 7.1 K
% 14.81/15.15 trail ( 12) 1699855 1699855 0 8 0.1 K
% 14.81/15.15 bt_node ( 68) 1414484 1414479 5 10 1.0 K
% 14.81/15.15 ac_position (285432) 0 0 0 0 0.0 K
% 14.81/15.15 ac_match_pos (14044) 0 0 0 0 0.0 K
% 14.81/15.15 ac_match_free_vars_pos (4020)
% 14.81/15.15 0 0 0 0 0.0 K
% 14.81/15.15 discrim ( 12) 168437 8517 159920 0 1874.1 K
% 14.81/15.15 flat ( 40) 14528938 14528938 0 39 1.5 K
% 14.81/15.15 discrim_pos ( 12) 383619 383619 0 1 0.0 K
% 14.81/15.15 fpa_head ( 12) 4279 0 4279 0 50.1 K
% 14.81/15.15 fpa_tree ( 28) 24613 24613 0 35 1.0 K
% 14.81/15.15 fpa_pos ( 36) 34182 34182 0 1 0.0 K
% 14.81/15.15 literal ( 12) 229650 202575 27075 1 317.3 K
% 14.81/15.15 clause ( 24) 229650 202575 27075 1 634.6 K
% 14.81/15.15 list ( 12) 7166 7110 56 3 0.7 K
% 14.81/15.15 list_pos ( 20) 89866 3781 86085 0 1681.3 K
% 14.81/15.15 pair_index ( 40) 2 0 2 0 0.1 K
% 14.81/15.15
% 14.81/15.15 -------------- statistics -------------
% 14.81/15.15 Clauses input 14
% 14.81/15.15 Usable input 0
% 14.81/15.15 Sos input 14
% 14.81/15.15 Demodulators input 0
% 14.81/15.15 Passive input 0
% 14.81/15.15
% 14.81/15.15 Processed BS (before search) 17
% 14.81/15.15 Forward subsumed BS 4
% 14.81/15.15 Kept BS 13
% 14.81/15.15 New demodulators BS 9
% 14.81/15.15 Back demodulated BS 0
% 14.81/15.15
% 14.81/15.15 Clauses or pairs given 103004
% 14.81/15.15 Clauses generated 159833
% 14.81/15.15 Forward subsumed 132771
% 14.81/15.15 Deleted by weight 0
% 14.81/15.15 Deleted by variable count 0
% 14.81/15.15 Kept 27062
% 14.81/15.15 New demodulators 7098
% 14.81/15.15 Back demodulated 759
% 14.81/15.15 Ordered paramod prunes 0
% 14.81/15.15 Basic paramod prunes 185354
% 14.81/15.15 Prime paramod prunes 19293
% 14.81/15.15 Semantic prunes 0
% 14.81/15.15
% 14.81/15.15 Rewrite attmepts 2154791
% 14.81/15.15 Rewrites 324018
% 14.81/15.15
% 14.81/15.15 FPA overloads 0
% 14.81/15.15 FPA underloads 0
% 14.81/15.15
% 14.81/15.15 Usable size 0
% 14.81/15.15 Sos size 26315
% 14.81/15.15 Demodulators size 6381
% 14.81/15.15 Passive size 0
% 14.81/15.15 Disabled size 759
% 14.81/15.15
% 14.81/15.15 Proofs found 1
% 14.81/15.15
% 14.81/15.15 ----------- times (seconds) ----------- Mon Jul 4 04:10:11 2022
% 14.81/15.15
% 14.81/15.15 user CPU time 12.25 (0 hr, 0 min, 12 sec)
% 14.81/15.15 system CPU time 1.78 (0 hr, 0 min, 1 sec)
% 14.81/15.15 wall-clock time 14 (0 hr, 0 min, 14 sec)
% 14.81/15.15 input time 0.00
% 14.81/15.15 paramodulation time 0.57
% 14.81/15.15 demodulation time 0.44
% 14.81/15.15 orient time 0.28
% 14.81/15.15 weigh time 0.06
% 14.81/15.15 forward subsume time 0.21
% 14.81/15.15 back demod find time 4.40
% 14.81/15.15 conflict time 0.02
% 14.81/15.15 LRPO time 0.12
% 14.81/15.15 store clause time 5.51
% 14.81/15.15 disable clause time 0.28
% 14.81/15.15 prime paramod time 0.19
% 14.81/15.15 semantics time 0.00
% 14.81/15.15
% 14.81/15.15 EQP interrupted
%------------------------------------------------------------------------------