%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : REL011-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n020.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 : Mon Jul 18 19:15:21 EDT 2022
% Result : Unsatisfiable 0.73s 1.22s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 7 RR)
% Number of literals : 54 ( 0 equ; 1 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,B),join(B,A)),
file('REL011-2.p',unknown),
[] ).
cnf(2,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(complement(join(complement(A),complement(B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(join(meet(A,B),complement(join(complement(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(7,plain,
equal(composition(A,one),A),
file('REL011-2.p',unknown),
[] ).
cnf(8,plain,
equal(join(composition(A,B),composition(C,B)),composition(join(A,C),B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(9,plain,
equal(converse(converse(A)),A),
file('REL011-2.p',unknown),
[] ).
cnf(10,plain,
equal(converse(join(A,B)),join(converse(A),converse(B))),
file('REL011-2.p',unknown),
[] ).
cnf(11,plain,
equal(converse(composition(A,B)),composition(converse(B),converse(A))),
file('REL011-2.p',unknown),
[] ).
cnf(12,plain,
equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)),
file('REL011-2.p',unknown),
[] ).
cnf(13,plain,
equal(join(A,complement(A)),top),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(14,plain,
equal(meet(A,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(16,plain,
equal(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),meet(composition(A,meet(B,composition(converse(A),C))),C)),
file('REL011-2.p',unknown),
[] ).
cnf(18,plain,
equal(meet(sk1,composition(converse(sk2),sk3)),zero),
file('REL011-2.p',unknown),
[] ).
cnf(19,plain,
~ equal(meet(composition(sk2,sk1),sk3),zero),
file('REL011-2.p',unknown),
[] ).
cnf(23,plain,
equal(join(complement(A),A),top),
inference(para,[status(thm),theory(equality)],[1,13]),
[iquote('para(1,13)')] ).
cnf(24,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),4]),
[iquote('para(1,4),demod([4])')] ).
cnf(29,plain,
equal(meet(complement(A),A),zero),
inference(para,[status(thm),theory(equality)],[24,14]),
[iquote('para(24,14)')] ).
cnf(32,plain,
equal(join(meet(A,complement(B)),meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(36,plain,
equal(composition(converse(one),converse(A)),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),1]),
[iquote('para(7,11),flip(1)')] ).
cnf(38,plain,
equal(composition(converse(one),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,36]),9]),
[iquote('para(9,36),demod([9])')] ).
cnf(39,plain,
equal(converse(one),one),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,7]),1]),
[iquote('para(38,7),flip(1)')] ).
cnf(40,plain,
equal(composition(one,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[38]),39]),
[iquote('back_demod(38),demod([39])')] ).
cnf(45,plain,
equal(complement(top),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),14]),
[iquote('para(13,4),demod([14])')] ).
cnf(64,plain,
equal(join(meet(A,complement(complement(A))),zero),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),45]),
[iquote('para(13,5),demod([45])')] ).
cnf(70,plain,
equal(join(zero,meet(A,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,5]),4]),
[iquote('para(14,5),demod([4])')] ).
cnf(71,plain,
equal(join(meet(A,A),zero),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,1]),1]),
[iquote('para(70,1),flip(1)')] ).
cnf(117,plain,
equal(join(meet(composition(sk2,sk1),sk3),meet(composition(sk2,zero),sk3)),meet(composition(sk2,zero),sk3)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,16]),18]),
[iquote('para(18,16),demod([18])')] ).
cnf(157,plain,
equal(join(complement(A),join(A,B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,2]),1]),
[iquote('para(23,2),flip(1)')] ).
cnf(206,plain,
equal(join(meet(complement(complement(A)),A),zero),A),
inference(para,[status(thm),theory(equality)],[24,64]),
[iquote('para(24,64)')] ).
cnf(213,plain,
equal(join(zero,meet(complement(complement(A)),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[206,1]),1]),
[iquote('para(206,1),flip(1)')] ).
cnf(218,plain,
equal(complement(complement(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,32]),213]),1]),
[iquote('para(29,32),demod([213]),flip(1)')] ).
cnf(238,plain,
equal(complement(join(A,complement(B))),meet(complement(A),B)),
inference(para,[status(thm),theory(equality)],[218,4]),
[iquote('para(218,4)')] ).
cnf(290,plain,
equal(complement(join(A,B)),meet(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[218,238]),
[iquote('para(218,238)')] ).
cnf(315,plain,
equal(join(complement(A),complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,12]),40,40]),
[iquote('para(39,12),demod([40,40])')] ).
cnf(320,plain,
equal(join(A,composition(B,A)),composition(join(one,B),A)),
inference(para,[status(thm),theory(equality)],[40,8]),
[iquote('para(40,8)')] ).
cnf(327,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[218,315]),218,218]),
[iquote('para(218,315),demod([218,218])')] ).
cnf(347,plain,
equal(join(top,A),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[327,157]),23]),1]),
[iquote('para(327,157),demod([23]),flip(1)')] ).
cnf(364,plain,
equal(join(composition(converse(A),complement(composition(A,top))),zero),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[45,12]),45]),
[iquote('para(45,12),demod([45])')] ).
cnf(401,plain,
equal(meet(complement(A),complement(A)),complement(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[327,290]),1]),
[iquote('para(327,290),flip(1)')] ).
cnf(404,plain,
equal(join(zero,complement(A)),complement(A)),
inference(para,[status(thm),theory(equality)],[401,70]),
[iquote('para(401,70)')] ).
cnf(406,plain,
equal(join(zero,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[218,404]),218]),
[iquote('para(218,404),demod([218])')] ).
cnf(414,plain,
equal(meet(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[70]),406]),
[iquote('back_demod(70),demod([406])')] ).
cnf(415,plain,
equal(join(A,zero),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[71]),414]),
[iquote('back_demod(71),demod([414])')] ).
cnf(417,plain,
equal(composition(converse(A),complement(composition(A,top))),zero),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[364]),415]),
[iquote('back_demod(364),demod([415])')] ).
cnf(512,plain,
equal(meet(zero,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[347,290]),45,45]),1]),
[iquote('para(347,290),demod([45,45]),flip(1)')] ).
cnf(638,plain,
equal(meet(zero,A),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[512,32]),406]),
[iquote('para(512,32),demod([406])')] ).
cnf(683,plain,
equal(composition(join(one,A),top),top),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[347,320]),1]),
[iquote('para(347,320),flip(1)')] ).
cnf(717,plain,
equal(composition(join(one,converse(A)),zero),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[683,417]),10,39,45]),
[iquote('para(683,417),demod([10,39,45])')] ).
cnf(718,plain,
equal(composition(join(one,A),zero),zero),
inference(para,[status(thm),theory(equality)],[9,717]),
[iquote('para(9,717)')] ).
cnf(745,plain,
equal(composition(A,zero),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[406,320]),718]),
[iquote('para(406,320),demod([718])')] ).
cnf(753,plain,
equal(meet(composition(sk2,sk1),sk3),zero),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[117]),745,638,415,745,638]),
[iquote('back_demod(117),demod([745,638,415,745,638])')] ).
cnf(754,plain,
$false,
inference(conflict,[status(thm)],[753,19]),
[iquote('conflict(753,19)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL011-2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 14:16:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.09 ----- EQP 0.9e, May 2009 -----
% 0.68/1.09 The job began on n020.cluster.edu, Fri Jul 8 14:16:44 2022
% 0.68/1.09 The command was "./eqp09e".
% 0.68/1.09
% 0.68/1.09 set(prolog_style_variables).
% 0.68/1.09 set(lrpo).
% 0.68/1.09 set(basic_paramod).
% 0.68/1.09 set(functional_subsume).
% 0.68/1.09 set(ordered_paramod).
% 0.68/1.09 set(prime_paramod).
% 0.68/1.09 set(para_pairs).
% 0.68/1.09 assign(pick_given_ratio,4).
% 0.68/1.09 clear(print_kept).
% 0.68/1.09 clear(print_new_demod).
% 0.68/1.09 clear(print_back_demod).
% 0.68/1.09 clear(print_given).
% 0.68/1.09 assign(max_mem,64000).
% 0.68/1.09 end_of_commands.
% 0.68/1.09
% 0.68/1.09 Usable:
% 0.68/1.09 end_of_list.
% 0.68/1.09
% 0.68/1.09 Sos:
% 0.68/1.09 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.68/1.09 0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 0.68/1.09 0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 0.68/1.09 0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 0.68/1.09 0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 0.68/1.09 0 (wt=-1) [] composition(A,one) = A.
% 0.68/1.09 0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 0.68/1.09 0 (wt=-1) [] converse(converse(A)) = A.
% 0.68/1.09 0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.68/1.09 0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.68/1.09 0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.68/1.09 0 (wt=-1) [] top = join(A,complement(A)).
% 0.68/1.09 0 (wt=-1) [] zero = meet(A,complement(A)).
% 0.68/1.09 0 (wt=-1) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 0.68/1.09 0 (wt=-1) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 0.68/1.09 0 (wt=-1) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 0.68/1.09 0 (wt=-1) [] meet(sk1,composition(converse(sk2),sk3)) = zero.
% 0.68/1.09 0 (wt=-1) [] -(meet(composition(sk2,sk1),sk3) = zero).
% 0.68/1.09 end_of_list.
% 0.68/1.09
% 0.68/1.09 Demodulators:
% 0.68/1.09 end_of_list.
% 0.68/1.09
% 0.68/1.09 Passive:
% 0.68/1.09 end_of_list.
% 0.68/1.09
% 0.68/1.09 Starting to process input.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 0.68/1.09 clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 0.68/1.09
% 0.68/1.09 ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.68/1.09 2 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 0.68/1.09 3 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.68/1.09 4 is a new demodulator.
% 0.68/1.09 -> 4 back demodulating 3.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.68/1.09 5 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.68/1.09 6 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 0.68/1.09 7 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.68/1.09 8 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 0.68/1.09 9 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.68/1.09 10 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.68/1.09 11 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.68/1.09 12 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.68/1.09 13 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.68/1.09 14 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 15 (wt=33) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 0.68/1.09 15 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 16 (wt=27) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 0.68/1.09 16 is a new demodulator.
% 0.68/1.09
% 0.68/1.09 ** KEPT: 17 (wt=27) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 0.73/1.22 17 is a new demodulator.
% 0.73/1.22
% 0.73/1.22 ** KEPT: 18 (wt=8) [] meet(sk1,composition(converse(sk2),sk3)) = zero.
% 0.73/1.22 18 is a new demodulator.
% 0.73/1.22
% 0.73/1.22 ** KEPT: 19 (wt=7) [] -(meet(composition(sk2,sk1),sk3) = zero).
% 0.73/1.22 ---------------- PROOF FOUND ----------------
% 0.73/1.22 % SZS status Unsatisfiable
% 0.73/1.22
% 0.73/1.22
% 0.73/1.22 After processing input:
% 0.73/1.22
% 0.73/1.22 Usable:
% 0.73/1.22 end_of_list.
% 0.73/1.22
% 0.73/1.22 Sos:
% 0.73/1.22 7 (wt=5) [] composition(A,one) = A.
% 0.73/1.22 9 (wt=5) [] converse(converse(A)) = A.
% 0.73/1.22 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.73/1.22 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.73/1.22 1 (wt=7) [] join(A,B) = join(B,A).
% 0.73/1.22 19 (wt=7) [] -(meet(composition(sk2,sk1),sk3) = zero).
% 0.73/1.22 18 (wt=8) [] meet(sk1,composition(converse(sk2),sk3)) = zero.
% 0.73/1.22 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.73/1.22 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.73/1.22 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.73/1.22 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.73/1.22 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.73/1.22 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.73/1.22 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.73/1.22 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.73/1.22 16 (wt=27) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 0.73/1.22 17 (wt=27) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 0.73/1.22 15 (wt=33) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 0.73/1.22 end_of_list.
% 0.73/1.22
% 0.73/1.22 Demodulators:
% 0.73/1.22 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.73/1.22 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.73/1.22 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.73/1.22 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.73/1.22 7 (wt=5) [] composition(A,one) = A.
% 0.73/1.22 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.73/1.22 9 (wt=5) [] converse(converse(A)) = A.
% 0.73/1.22 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.73/1.22 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.73/1.22 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.73/1.22 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.73/1.22 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.73/1.22 15 (wt=33) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 0.73/1.22 16 (wt=27) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 0.73/1.22 17 (wt=27) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 0.73/1.22 18 (wt=8) [] meet(sk1,composition(converse(sk2),sk3)) = zero.
% 0.73/1.22 end_of_list.
% 0.73/1.22
% 0.73/1.22 Passive:
% 0.73/1.22 end_of_list.
% 0.73/1.22
% 0.73/1.22 UNIT CONFLICT from 753 and 19 at 0.07 seconds.
% 0.73/1.22
% 0.73/1.22 ---------------- PROOF ----------------
% 0.73/1.22 % SZS output start Refutation
% See solution above
% 0.73/1.22 ------------ end of proof -------------
% 0.73/1.22
% 0.73/1.22
% 0.73/1.22 ------------- memory usage ------------
% 0.73/1.22 Memory dynamically allocated (tp_alloc): 1953.
% 0.73/1.22 type (bytes each) gets frees in use avail bytes
% 0.73/1.22 sym_ent ( 96) 62 0 62 0 5.8 K
% 0.73/1.22 term ( 16) 65308 47715 17593 37 341.4 K
% 0.73/1.22 gen_ptr ( 8) 95705 14533 81172 53 634.6 K
% 0.73/1.22 context ( 808) 89469 89467 2 4 4.7 K
% 0.73/1.22 trail ( 12) 4370 4370 0 6 0.1 K
% 0.73/1.22 bt_node ( 68) 37711 37708 3 23 1.7 K
% 0.73/1.22 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.22 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.22 ac_match_free_vars_pos (4020)
% 0.73/1.22 0 0 0 0 0.0 K
% 0.73/1.22 discrim ( 12) 18143 3790 14353 350 172.3 K
% 0.73/1.22 flat ( 40) 115300 115300 0 49 1.9 K
% 0.73/1.22 discrim_pos ( 12) 3085 3085 0 1 0.0 K
% 0.73/1.22 fpa_head ( 12) 6957 0 6957 0 81.5 K
% 0.73/1.22 fpa_tree ( 28) 3554 3554 0 19 0.5 K
% 0.73/1.22 fpa_pos ( 36) 1386 1386 0 1 0.0 K
% 0.73/1.22 literal ( 12) 2861 2108 753 1 8.8 K
% 0.73/1.22 clause ( 24) 2861 2108 753 1 17.7 K
% 0.73/1.22 list ( 12) 692 635 57 3 0.7 K
% 0.73/1.22 list_pos ( 20) 3415 1265 2150 22 42.4 K
% 0.73/1.22 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.22
% 0.73/1.22 -------------- statistics -------------
% 0.73/1.22 Clauses input 18
% 0.73/1.22 Usable input 0
% 0.73/1.22 Sos input 18
% 0.73/1.22 Demodulators input 0
% 0.73/1.22 Passive input 0
% 0.73/1.22
% 0.73/1.22 Processed BS (before search) 20
% 0.73/1.22 Forward subsumed BS 1
% 0.73/1.22 Kept BS 19
% 0.73/1.22 New demodulators BS 17
% 0.73/1.22 Back demodulated BS 1
% 0.73/1.22
% 0.73/1.22 Clauses or pairs given 6737
% 0.73/1.22 Clauses generated 1924
% 0.73/1.22 Forward subsumed 1190
% 0.73/1.22 Deleted by weight 0
% 0.73/1.22 Deleted by variable count 0
% 0.73/1.22 Kept 734
% 0.73/1.22 New demodulators 616
% 0.73/1.22 Back demodulated 251
% 0.73/1.22 Ordered paramod prunes 0
% 0.73/1.22 Basic paramod prunes 17019
% 0.73/1.22 Prime paramod prunes 109
% 0.73/1.22 Semantic prunes 0
% 0.73/1.22
% 0.73/1.22 Rewrite attmepts 27581
% 0.73/1.22 Rewrites 2849
% 0.73/1.22
% 0.73/1.22 FPA overloads 0
% 0.73/1.22 FPA underloads 0
% 0.73/1.22
% 0.73/1.22 Usable size 0
% 0.73/1.22 Sos size 500
% 0.73/1.22 Demodulators size 397
% 0.73/1.22 Passive size 0
% 0.73/1.22 Disabled size 252
% 0.73/1.22
% 0.73/1.22 Proofs found 1
% 0.73/1.22
% 0.73/1.22 ----------- times (seconds) ----------- Fri Jul 8 14:16:44 2022
% 0.73/1.22
% 0.73/1.22 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.73/1.22 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.73/1.22 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.22 input time 0.00
% 0.73/1.22 paramodulation time 0.02
% 0.73/1.22 demodulation time 0.01
% 0.73/1.22 orient time 0.01
% 0.73/1.22 weigh time 0.00
% 0.73/1.22 forward subsume time 0.00
% 0.73/1.22 back demod find time 0.00
% 0.73/1.22 conflict time 0.00
% 0.73/1.22 LRPO time 0.00
% 0.73/1.22 store clause time 0.01
% 0.73/1.22 disable clause time 0.00
% 0.73/1.22 prime paramod time 0.00
% 0.73/1.22 semantics time 0.00
% 0.73/1.22
% 0.73/1.22 EQP interrupted
%------------------------------------------------------------------------------