TSTP Solution File: LCL163-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 09:41:24 EDT 2022
% Result : Unsatisfiable 10.04s 10.47s
% Output : Refutation 10.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of clauses : 83 ( 83 unt; 0 nHn; 4 RR)
% Number of literals : 83 ( 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 : 162 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(not(A),xor(A,truth)),
file('LCL163-1.p',unknown),
[] ).
cnf(2,plain,
equal(xor(A,falsehood),A),
file('LCL163-1.p',unknown),
[] ).
cnf(3,plain,
equal(xor(A,A),falsehood),
file('LCL163-1.p',unknown),
[] ).
cnf(4,plain,
equal(and_star(A,truth),A),
file('LCL163-1.p',unknown),
[] ).
cnf(5,plain,
equal(and_star(A,falsehood),falsehood),
file('LCL163-1.p',unknown),
[] ).
cnf(6,plain,
equal(and_star(xor(truth,A),A),falsehood),
file('LCL163-1.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('LCL163-1.p',unknown),
[] ).
cnf(9,plain,
equal(xor(A,B),xor(B,A)),
file('LCL163-1.p',unknown),
[] ).
cnf(10,plain,
equal(and_star(and_star(A,B),C),and_star(A,and_star(B,C))),
file('LCL163-1.p',unknown),
[] ).
cnf(11,plain,
equal(and_star(A,B),and_star(B,A)),
file('LCL163-1.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(y,x),x),implies(implies(x,y),y)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
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(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(105,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(106,plain,
equal(and_star(A,implies(A,B)),and_star(implies(B,A),B)),
inference(flip,[status(thm),theory(equality)],[105]),
[iquote('flip(105)')] ).
cnf(191,plain,
equal(implies(A,implies(implies(A,implies(B,falsehood)),implies(B,falsehood))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,101]),97]),
[iquote('para(96,101),demod([97])')] ).
cnf(192,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(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(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(463,plain,
~ equal(implies(implies(implies(x,falsehood),implies(y,falsehood)),x),implies(implies(x,y),y)),
inference(para,[status(thm),theory(equality)],[96,13]),
[iquote('para(96,13)')] ).
cnf(485,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(487,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)],[89,485]),78]),1]),
[iquote('para(89,485),demod([78]),flip(1)')] ).
cnf(867,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)],[106,90]),
[iquote('para(106,90)')] ).
cnf(1694,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)],[454,867]),93,15]),
[iquote('para(454,867),demod([93,15])')] ).
cnf(1696,plain,
equal(and_star(A,and_star(implies(B,and_star(implies(A,falsehood),C)),B)),falsehood),
inference(para,[status(thm),theory(equality)],[11,1694]),
[iquote('para(11,1694)')] ).
cnf(1718,plain,
equal(and_star(A,and_star(B,implies(B,and_star(implies(A,falsehood),C)))),falsehood),
inference(para,[status(thm),theory(equality)],[11,1696]),
[iquote('para(11,1696)')] ).
cnf(1740,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)],[1718,11]),10]),1]),
[iquote('para(1718,11),demod([10]),flip(1)')] ).
cnf(3014,plain,
equal(implies(A,implies(implies(A,and_star(B,implies(C,falsehood))),and_star(B,implies(C,falsehood)))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,191]),93]),
[iquote('para(93,191),demod([93])')] ).
cnf(3018,plain,
equal(implies(A,implies(implies(A,B),B)),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,3014]),89,4,4]),
[iquote('para(73,3014),demod([89,4,4])')] ).
cnf(3102,plain,
equal(implies(A,implies(B,and_star(B,A))),truth),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,192]),93,89,4,93,93,89,4]),
[iquote('para(96,192),demod([93,89,4,93,93,89,4])')] ).
cnf(3135,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)],[3102,105]),15]),1]),
[iquote('para(3102,105),demod([15]),flip(1)')] ).
cnf(3140,plain,
equal(implies(implies(A,B),implies(A,and_star(implies(B,A),B))),truth),
inference(para,[status(thm),theory(equality)],[106,3102]),
[iquote('para(106,3102)')] ).
cnf(7826,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)],[93,1740]),10]),
[iquote('para(93,1740),demod([10])')] ).
cnf(7843,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)],[73,7826]),15]),
[iquote('para(73,7826),demod([15])')] ).
cnf(7850,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)],[7843,11]),10]),1]),
[iquote('para(7843,11),demod([10]),flip(1)')] ).
cnf(7912,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)],[7850,11]),10]),1]),
[iquote('para(7850,11),demod([10]),flip(1)')] ).
cnf(8194,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)],[7912,3102]),93,89,4,97]),
[iquote('para(7912,3102),demod([93,89,4,97])')] ).
cnf(8195,plain,
equal(implies(A,implies(implies(A,and_star(B,C)),C)),truth),
inference(para,[status(thm),theory(equality)],[11,8194]),
[iquote('para(11,8194)')] ).
cnf(8347,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)],[97,8195]),97]),
[iquote('para(97,8195),demod([97])')] ).
cnf(8350,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)],[89,8347]),70]),
[iquote('para(89,8347),demod([70])')] ).
cnf(9176,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)],[3140,84]),15,8350,15]),1]),
[iquote('para(3140,84),demod([15,8350,15]),flip(1)')] ).
cnf(9181,plain,
equal(implies(A,and_star(B,implies(B,A))),implies(A,B)),
inference(para,[status(thm),theory(equality)],[11,9176]),
[iquote('para(11,9176)')] ).
cnf(9230,plain,
equal(implies(implies(A,falsehood),and_star(implies(A,B),implies(B,falsehood))),implies(implies(A,falsehood),implies(B,falsehood))),
inference(para,[status(thm),theory(equality)],[95,9176]),
[iquote('para(95,9176)')] ).
cnf(9231,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)],[9176,96]),97]),1]),
[iquote('para(9176,96),demod([97]),flip(1)')] ).
cnf(25107,plain,
equal(implies(implies(implies(A,B),B),A),implies(implies(A,falsehood),implies(B,falsehood))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3018,9231]),70,93,9230]),1]),
[iquote('para(3018,9231),demod([70,93,9230]),flip(1)')] ).
cnf(25115,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)],[3102,9231]),70,93,97,9181]),
[iquote('para(3102,9231),demod([70,93,97,9181])')] ).
cnf(25146,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)],[25115,96]),93,89,4]),
[iquote('para(25115,96),demod([93,89,4])')] ).
cnf(25152,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)],[3135]),25146]),
[iquote('back_demod(3135),demod([25146])')] ).
cnf(25257,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)],[96,25152]),93,89,4]),
[iquote('para(96,25152),demod([93,89,4])')] ).
cnf(25261,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)],[487,25257]),4]),
[iquote('para(487,25257),demod([4])')] ).
cnf(25263,plain,
equal(implies(implies(A,B),and_star(implies(B,A),B)),A),
inference(para,[status(thm),theory(equality)],[84,25261]),
[iquote('para(84,25261)')] ).
cnf(25266,plain,
equal(implies(implies(implies(A,falsehood),implies(B,falsehood)),A),implies(implies(A,B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3018,25263]),25107,15]),
[iquote('para(3018,25263),demod([25107,15])')] ).
cnf(25267,plain,
$false,
inference(conflict,[status(thm)],[25266,463]),
[iquote('conflict(25266,463)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n025.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 : Mon Jul 4 19:28:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.04/10.47 ----- EQP 0.9e, May 2009 -----
% 10.04/10.47 The job began on n025.cluster.edu, Mon Jul 4 19:28:42 2022
% 10.04/10.47 The command was "./eqp09e".
% 10.04/10.47
% 10.04/10.47 set(prolog_style_variables).
% 10.04/10.47 set(lrpo).
% 10.04/10.47 set(basic_paramod).
% 10.04/10.47 set(functional_subsume).
% 10.04/10.47 set(ordered_paramod).
% 10.04/10.47 set(prime_paramod).
% 10.04/10.47 set(para_pairs).
% 10.04/10.47 assign(pick_given_ratio,4).
% 10.04/10.47 clear(print_kept).
% 10.04/10.47 clear(print_new_demod).
% 10.04/10.47 clear(print_back_demod).
% 10.04/10.47 clear(print_given).
% 10.04/10.47 assign(max_mem,64000).
% 10.04/10.47 end_of_commands.
% 10.04/10.47
% 10.04/10.47 Usable:
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Sos:
% 10.04/10.47 0 (wt=-1) [] not(A) = xor(A,truth).
% 10.04/10.47 0 (wt=-1) [] xor(A,falsehood) = A.
% 10.04/10.47 0 (wt=-1) [] xor(A,A) = falsehood.
% 10.04/10.47 0 (wt=-1) [] and_star(A,truth) = A.
% 10.04/10.47 0 (wt=-1) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47 0 (wt=-1) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47 0 (wt=-1) [] xor(A,xor(truth,B)) = xor(xor(A,truth),B).
% 10.04/10.47 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).
% 10.04/10.47 0 (wt=-1) [] xor(A,B) = xor(B,A).
% 10.04/10.47 0 (wt=-1) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47 0 (wt=-1) [] and_star(A,B) = and_star(B,A).
% 10.04/10.47 0 (wt=-1) [] not(truth) = falsehood.
% 10.04/10.47 0 (wt=-1) [] implies(A,B) = xor(truth,and_star(A,xor(truth,B))).
% 10.04/10.47 0 (wt=-1) [] -(implies(implies(x,y),y) = implies(implies(y,x),x)).
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Demodulators:
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Passive:
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Starting to process input.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 1 (wt=6) [] not(A) = xor(A,truth).
% 10.04/10.47 1 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 2 (wt=5) [] xor(A,falsehood) = A.
% 10.04/10.47 2 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 3 (wt=5) [] xor(A,A) = falsehood.
% 10.04/10.47 3 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 4 (wt=5) [] and_star(A,truth) = A.
% 10.04/10.47 4 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47 5 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47 6 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 10.04/10.47 7 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** 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).
% 10.04/10.47 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).
% 10.04/10.47
% 10.04/10.47 ** KEPT: 9 (wt=7) [] xor(A,B) = xor(B,A).
% 10.04/10.47 clause forward subsumed: 0 (wt=7) [flip(9)] xor(B,A) = xor(A,B).
% 10.04/10.47
% 10.04/10.47 ** KEPT: 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47 10 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 11 (wt=7) [] and_star(A,B) = and_star(B,A).
% 10.04/10.47 clause forward subsumed: 0 (wt=7) [flip(11)] and_star(B,A) = and_star(A,B).
% 10.04/10.47 clause forward subsumed: 0 (wt=3) [demod([1,3])] falsehood = falsehood.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 10.04/10.47 12 is a new demodulator.
% 10.04/10.47
% 10.04/10.47 ** KEPT: 13 (wt=11) [flip(1)] -(implies(implies(y,x),x) = implies(implies(x,y),y)).
% 10.04/10.47 ---------------- PROOF FOUND ----------------
% 10.04/10.47 % SZS status Unsatisfiable
% 10.04/10.47
% 10.04/10.47
% 10.04/10.47 After processing input:
% 10.04/10.47
% 10.04/10.47 Usable:
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Sos:
% 10.04/10.47 2 (wt=5) [] xor(A,falsehood) = A.
% 10.04/10.47 3 (wt=5) [] xor(A,A) = falsehood.
% 10.04/10.47 4 (wt=5) [] and_star(A,truth) = A.
% 10.04/10.47 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47 1 (wt=6) [] not(A) = xor(A,truth).
% 10.04/10.47 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47 9 (wt=7) [] xor(A,B) = xor(B,A).
% 10.04/10.47 11 (wt=7) [] and_star(A,B) = and_star(B,A).
% 10.04/10.47 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 10.04/10.47 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 10.04/10.47 13 (wt=11) [flip(1)] -(implies(implies(y,x),x) = implies(implies(x,y),y)).
% 10.04/10.47 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).
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Demodulators:
% 10.04/10.47 1 (wt=6) [] not(A) = xor(A,truth).
% 10.04/10.47 2 (wt=5) [] xor(A,falsehood) = A.
% 10.04/10.47 3 (wt=5) [] xor(A,A) = falsehood.
% 10.04/10.47 4 (wt=5) [] and_star(A,truth) = A.
% 10.04/10.47 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 10.04/10.47 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 Passive:
% 10.04/10.47 end_of_list.
% 10.04/10.47
% 10.04/10.47 UNIT CONFLICT from 25266 and 463 at 7.71 seconds.
% 10.04/10.47
% 10.04/10.47 ---------------- PROOF ----------------
% 10.04/10.47 % SZS output start Refutation
% See solution above
% 10.04/10.47 ------------ end of proof -------------
% 10.04/10.47
% 10.04/10.47
% 10.04/10.47 ------------- memory usage ------------
% 10.04/10.47 Memory dynamically allocated (tp_alloc): 46386.
% 10.04/10.47 type (bytes each) gets frees in use avail bytes
% 10.04/10.47 sym_ent ( 96) 59 0 59 0 5.5 K
% 10.04/10.47 term ( 16) 5425111 4726213 698898 20 13552.0 K
% 10.04/10.47 gen_ptr ( 8) 4458821 857436 3601385 82 28136.5 K
% 10.04/10.47 context ( 808) 3719480 3719478 2 7 7.1 K
% 10.04/10.47 trail ( 12) 1308111 1308111 0 8 0.1 K
% 10.04/10.47 bt_node ( 68) 1327091 1327088 3 12 1.0 K
% 10.04/10.47 ac_position (285432) 0 0 0 0 0.0 K
% 10.04/10.47 ac_match_pos (14044) 0 0 0 0 0.0 K
% 10.04/10.47 ac_match_free_vars_pos (4020)
% 10.04/10.47 0 0 0 0 0.0 K
% 10.04/10.47 discrim ( 12) 155525 5924 149601 581 1759.9 K
% 10.04/10.47 flat ( 40) 13447929 13447929 0 39 1.5 K
% 10.04/10.47 discrim_pos ( 12) 356721 356721 0 1 0.0 K
% 10.04/10.47 fpa_head ( 12) 3899 0 3899 0 45.7 K
% 10.04/10.47 fpa_tree ( 28) 21619 21619 0 25 0.7 K
% 10.04/10.47 fpa_pos ( 36) 31708 31708 0 1 0.0 K
% 10.04/10.47 literal ( 12) 214341 189075 25266 1 296.1 K
% 10.04/10.47 clause ( 24) 214341 189075 25266 1 592.2 K
% 10.04/10.47 list ( 12) 6501 6445 56 3 0.7 K
% 10.04/10.47 list_pos ( 20) 83346 2712 80634 111 1577.1 K
% 10.04/10.47 pair_index ( 40) 2 0 2 0 0.1 K
% 10.04/10.47
% 10.04/10.47 -------------- statistics -------------
% 10.04/10.47 Clauses input 14
% 10.04/10.47 Usable input 0
% 10.04/10.47 Sos input 14
% 10.04/10.47 Demodulators input 0
% 10.04/10.47 Passive input 0
% 10.04/10.47
% 10.04/10.47 Processed BS (before search) 17
% 10.04/10.47 Forward subsumed BS 4
% 10.04/10.47 Kept BS 13
% 10.04/10.47 New demodulators BS 9
% 10.04/10.47 Back demodulated BS 0
% 10.04/10.47
% 10.04/10.47 Clauses or pairs given 96529
% 10.04/10.47 Clauses generated 149345
% 10.04/10.47 Forward subsumed 124092
% 10.04/10.47 Deleted by weight 0
% 10.04/10.47 Deleted by variable count 0
% 10.04/10.47 Kept 25253
% 10.04/10.47 New demodulators 6433
% 10.04/10.47 Back demodulated 545
% 10.04/10.47 Ordered paramod prunes 0
% 10.04/10.47 Basic paramod prunes 168676
% 10.04/10.47 Prime paramod prunes 18434
% 10.04/10.47 Semantic prunes 0
% 10.04/10.47
% 10.04/10.47 Rewrite attmepts 2003300
% 10.04/10.47 Rewrites 300814
% 10.04/10.47
% 10.04/10.47 FPA overloads 0
% 10.04/10.47 FPA underloads 0
% 10.04/10.47
% 10.04/10.47 Usable size 0
% 10.04/10.47 Sos size 24720
% 10.04/10.47 Demodulators size 5929
% 10.04/10.47 Passive size 0
% 10.04/10.47 Disabled size 545
% 10.04/10.47
% 10.04/10.47 Proofs found 1
% 10.04/10.47
% 10.04/10.47 ----------- times (seconds) ----------- Mon Jul 4 19:28:52 2022
% 10.04/10.47
% 10.04/10.47 user CPU time 7.71 (0 hr, 0 min, 7 sec)
% 10.04/10.47 system CPU time 1.66 (0 hr, 0 min, 1 sec)
% 10.04/10.47 wall-clock time 10 (0 hr, 0 min, 10 sec)
% 10.04/10.47 input time 0.00
% 10.04/10.47 paramodulation time 0.50
% 10.04/10.47 demodulation time 0.37
% 10.04/10.47 orient time 0.26
% 10.04/10.47 weigh time 0.07
% 10.04/10.47 forward subsume time 0.14
% 10.04/10.47 back demod find time 1.52
% 10.04/10.47 conflict time 0.02
% 10.04/10.47 LRPO time 0.13
% 10.04/10.47 store clause time 4.29
% 10.04/10.47 disable clause time 0.09
% 10.04/10.47 prime paramod time 0.16
% 10.04/10.47 semantics time 0.00
% 10.04/10.47
% 10.04/10.47 EQP interrupted
%------------------------------------------------------------------------------