TSTP Solution File: LAT010-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n003.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 04:34:14 EDT 2022
% Result : Unsatisfiable 1.55s 1.96s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 4 RR)
% Number of literals : 57 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 153 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT010-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT010-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT010-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT010-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT010-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT010-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT010-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,meet(C,join(A,D)))),join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D))))),
file('LAT010-1.p',unknown),
[] ).
cnf(12,plain,
equal(meet(join(A,meet(B,C)),join(C,meet(A,B))),join(meet(C,join(A,meet(B,C))),meet(A,join(B,C)))),
file('LAT010-1.p',unknown),
[] ).
cnf(13,plain,
~ equal(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))),meet(a,meet(join(b,c),join(b,d)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7,7]),1]),
[iquote('demod([7,7]),flip(1)')] ).
cnf(14,plain,
equal(meet(join(A,B),A),A),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(15,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(16,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[6,3]),
[iquote('para(6,3)')] ).
cnf(19,plain,
equal(meet(A,meet(A,B)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),1]),
[iquote('para(1,7),flip(1)')] ).
cnf(20,plain,
equal(join(A,join(B,A)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,4]),8]),
[iquote('para(14,4),demod([8])')] ).
cnf(22,plain,
equal(meet(A,meet(join(A,B),C)),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,7]),1]),
[iquote('para(3,7),flip(1)')] ).
cnf(23,plain,
equal(join(meet(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,6]),1]),
[iquote('para(15,6),flip(1)')] ).
cnf(24,plain,
equal(join(meet(A,B),meet(A,meet(B,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[7,4]),
[iquote('para(7,4)')] ).
cnf(25,plain,
equal(meet(A,meet(B,A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,16]),7]),
[iquote('para(4,16),demod([7])')] ).
cnf(26,plain,
equal(meet(join(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,5]),1]),
[iquote('para(16,5),flip(1)')] ).
cnf(27,plain,
equal(meet(A,meet(B,C)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(29,plain,
equal(meet(A,meet(B,C)),meet(B,meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,7]),7]),
[iquote('para(5,7),demod([7])')] ).
cnf(33,plain,
equal(join(A,join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),1]),
[iquote('para(4,8),flip(1)')] ).
cnf(36,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,8]),8]),
[iquote('para(6,8),demod([8])')] ).
cnf(57,plain,
equal(meet(join(A,B),join(C,meet(D,join(A,join(B,E))))),join(meet(join(A,B),join(C,meet(join(A,B),D))),meet(join(A,B),join(meet(join(A,B),C),meet(D,E))))),
inference(para,[status(thm),theory(equality)],[8,9]),
[iquote('para(8,9)')] ).
cnf(58,plain,
equal(join(meet(join(A,B),join(C,meet(join(A,B),D))),meet(join(A,B),join(meet(join(A,B),C),meet(D,E)))),meet(join(A,B),join(C,meet(D,join(A,join(B,E)))))),
inference(flip,[status(thm),theory(equality)],[57]),
[iquote('flip(57)')] ).
cnf(117,plain,
equal(meet(join(A,B),meet(C,A)),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,5]),7]),1]),
[iquote('para(22,5),demod([7]),flip(1)')] ).
cnf(118,plain,
equal(meet(A,meet(B,join(A,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[5,22]),
[iquote('para(5,22)')] ).
cnf(131,plain,
equal(join(A,meet(B,meet(C,A))),A),
inference(para,[status(thm),theory(equality)],[7,15]),
[iquote('para(7,15)')] ).
cnf(192,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[8,16]),
[iquote('para(8,16)')] ).
cnf(193,plain,
equal(meet(A,meet(B,join(C,A))),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,192]),7]),
[iquote('para(4,192),demod([7])')] ).
cnf(209,plain,
equal(join(A,join(meet(B,C),join(meet(A,join(B,meet(C,A))),meet(B,join(C,A))))),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,15]),8]),
[iquote('para(12,15),demod([8])')] ).
cnf(223,plain,
equal(meet(join(A,B),meet(C,B)),meet(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,27]),1]),
[iquote('para(16,27),flip(1)')] ).
cnf(232,plain,
equal(join(meet(A,B),meet(A,meet(C,B))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[29,15]),
[iquote('para(29,15)')] ).
cnf(263,plain,
equal(join(A,join(B,join(C,A))),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[8,20]),
[iquote('para(8,20)')] ).
cnf(296,plain,
equal(meet(A,meet(B,meet(C,A))),meet(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,193]),7,7]),
[iquote('para(4,193),demod([7,7])')] ).
cnf(328,plain,
equal(join(meet(A,meet(B,C)),meet(C,A)),meet(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,12]),7,25,16,24,7,296,7,118]),1]),
[iquote('para(24,12),demod([7,25,16,24,7,296,7,118]),flip(1)')] ).
cnf(329,plain,
equal(join(meet(A,B),meet(A,join(meet(B,C),meet(A,B)))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,12]),7,296,131,19,7,296,131,7,25]),1]),
[iquote('para(24,12),demod([7,296,131,19,7,296,131,7,25]),flip(1)')] ).
cnf(331,plain,
equal(join(meet(A,join(B,C)),meet(A,B)),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[14,24]),
[iquote('para(14,24)')] ).
cnf(600,plain,
~ equal(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,join(b,meet(c,d))),meet(a,d)))))),meet(a,meet(join(b,c),join(b,d)))),
inference(para,[status(thm),theory(equality)],[36,13]),
[iquote('para(36,13)')] ).
cnf(604,plain,
equal(join(meet(A,meet(B,C)),meet(A,C)),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[232,6]),1]),
[iquote('para(232,6),flip(1)')] ).
cnf(605,plain,
equal(join(A,join(B,join(meet(A,C),D))),join(A,join(B,D))),
inference(para,[status(thm),theory(equality)],[36,33]),
[iquote('para(36,33)')] ).
cnf(606,plain,
equal(join(A,join(meet(B,C),meet(B,join(C,A)))),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[209]),605]),
[iquote('back_demod(209),demod([605])')] ).
cnf(661,plain,
equal(join(meet(A,meet(B,C)),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[5,328]),
[iquote('para(5,328)')] ).
cnf(837,plain,
equal(join(meet(A,B),meet(A,join(C,meet(A,B)))),meet(A,join(C,meet(A,B)))),
inference(para,[status(thm),theory(equality)],[26,661]),
[iquote('para(26,661)')] ).
cnf(838,plain,
equal(meet(A,join(meet(B,C),meet(A,B))),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[329]),837]),
[iquote('back_demod(329),demod([837])')] ).
cnf(934,plain,
equal(meet(A,join(B,meet(A,join(C,B)))),meet(A,join(C,B))),
inference(para,[status(thm),theory(equality)],[26,838]),
[iquote('para(26,838)')] ).
cnf(2881,plain,
equal(meet(join(A,B),join(meet(C,D),meet(C,join(A,join(B,D))))),meet(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,58]),838,24]),1]),
[iquote('para(23,58),demod([838,24]),flip(1)')] ).
cnf(3187,plain,
equal(join(meet(A,B),meet(A,join(B,C))),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[331,6]),1]),
[iquote('para(331,6),flip(1)')] ).
cnf(3188,plain,
equal(join(A,meet(B,join(C,A))),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[606]),3187]),
[iquote('back_demod(606),demod([3187])')] ).
cnf(3191,plain,
equal(meet(A,join(B,meet(A,C))),meet(A,join(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[934]),3188]),
[iquote('back_demod(934),demod([3188])')] ).
cnf(3192,plain,
equal(meet(A,join(B,C)),meet(A,join(C,meet(A,B)))),
inference(flip,[status(thm),theory(equality)],[3191]),
[iquote('flip(3191)')] ).
cnf(3193,plain,
equal(meet(A,join(B,meet(A,C))),join(meet(A,C),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[837]),3188]),1]),
[iquote('back_demod(837),demod([3188]),flip(1)')] ).
cnf(3194,plain,
equal(meet(A,join(B,C)),join(meet(A,B),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3192]),3193]),
[iquote('back_demod(3192),demod([3193])')] ).
cnf(3314,plain,
equal(join(meet(join(A,B),meet(C,D)),join(meet(A,C),meet(C,B))),meet(join(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2881]),3194,3194,263,3194,3194,117,223]),
[iquote('back_demod(2881),demod([3194,3194,263,3194,3194,117,223])')] ).
cnf(4223,plain,
~ equal(join(meet(a,b),meet(a,meet(join(b,c),d))),join(meet(a,b),meet(a,meet(join(b,c),d)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[600]),3194,8,604,3194,3194,117,223,3314,296,3194,14,3194,3194,14,3194]),
[iquote('back_demod(600),demod([3194,8,604,3194,3194,117,223,3314,296,3194,14,3194,3194,14,3194])')] ).
cnf(4224,plain,
$false,
inference(conflict,[status(thm)],[4223]),
[iquote('xx_conflict(4223)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n003.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 : Thu Jun 30 01:15:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.55/1.96 ----- EQP 0.9e, May 2009 -----
% 1.55/1.96 The job began on n003.cluster.edu, Thu Jun 30 01:15:07 2022
% 1.55/1.96 The command was "./eqp09e".
% 1.55/1.96
% 1.55/1.96 set(prolog_style_variables).
% 1.55/1.96 set(lrpo).
% 1.55/1.96 set(basic_paramod).
% 1.55/1.96 set(functional_subsume).
% 1.55/1.96 set(ordered_paramod).
% 1.55/1.96 set(prime_paramod).
% 1.55/1.96 set(para_pairs).
% 1.55/1.96 assign(pick_given_ratio,4).
% 1.55/1.96 clear(print_kept).
% 1.55/1.96 clear(print_new_demod).
% 1.55/1.96 clear(print_back_demod).
% 1.55/1.96 clear(print_given).
% 1.55/1.96 assign(max_mem,64000).
% 1.55/1.96 end_of_commands.
% 1.55/1.96
% 1.55/1.96 Usable:
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Sos:
% 1.55/1.96 0 (wt=-1) [] meet(A,A) = A.
% 1.55/1.96 0 (wt=-1) [] join(A,A) = A.
% 1.55/1.96 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 1.55/1.96 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 1.55/1.96 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 1.55/1.96 0 (wt=-1) [] join(A,B) = join(B,A).
% 1.55/1.96 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.55/1.96 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.55/1.96 0 (wt=-1) [] meet(A,join(B,meet(C,join(A,D)))) = join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D)))).
% 1.55/1.96 0 (wt=-1) [] join(A,meet(B,join(C,meet(A,D)))) = meet(join(A,meet(B,join(A,C))),join(A,meet(join(A,B),join(C,D)))).
% 1.55/1.96 0 (wt=-1) [] meet(join(A,meet(B,C)),join(C,meet(A,B))) = join(meet(C,join(A,meet(B,C))),meet(A,join(B,C))).
% 1.55/1.96 0 (wt=-1) [] -(meet(a,meet(join(b,c),join(b,d))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))).
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Demodulators:
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Passive:
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Starting to process input.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 1.55/1.96 1 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 1.55/1.96 2 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.55/1.96 3 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.55/1.96 4 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.55/1.96 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 1.55/1.96
% 1.55/1.96 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 1.55/1.96 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 1.55/1.96
% 1.55/1.96 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.55/1.96 7 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.55/1.96 8 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 9 (wt=27) [] meet(A,join(B,meet(C,join(A,D)))) = join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D)))).
% 1.55/1.96
% 1.55/1.96 ** KEPT: 10 (wt=27) [flip(9)] join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D)))) = meet(A,join(B,meet(C,join(A,D)))).
% 1.55/1.96 clause forward subsumed: 0 (wt=27) [flip(10)] meet(A,join(B,meet(C,join(A,D)))) = join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D)))).
% 1.55/1.96
% 1.55/1.96 ** KEPT: 11 (wt=27) [flip(1)] meet(join(A,meet(B,join(A,C))),join(A,meet(join(A,B),join(C,D)))) = join(A,meet(B,join(C,meet(A,D)))).
% 1.55/1.96 11 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 12 (wt=25) [] meet(join(A,meet(B,C)),join(C,meet(A,B))) = join(meet(C,join(A,meet(B,C))),meet(A,join(B,C))).
% 1.55/1.96 12 is a new demodulator.
% 1.55/1.96
% 1.55/1.96 ** KEPT: 13 (wt=35) [demod([7,7]),flip(1)] -(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) = meet(a,meet(join(b,c),join(b,d)))).
% 1.55/1.96 ---------------- PROOF FOUND ----------------
% 1.55/1.96 % SZS status Unsatisfiable
% 1.55/1.96
% 1.55/1.96
% 1.55/1.96 After processing input:
% 1.55/1.96
% 1.55/1.96 Usable:
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Sos:
% 1.55/1.96 1 (wt=5) [] meet(A,A) = A.
% 1.55/1.96 2 (wt=5) [] join(A,A) = A.
% 1.55/1.96 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.55/1.96 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.55/1.96 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.55/1.96 6 (wt=7) [] join(A,B) = join(B,A).
% 1.55/1.96 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.55/1.96 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.55/1.96 12 (wt=25) [] meet(join(A,meet(B,C)),join(C,meet(A,B))) = join(meet(C,join(A,meet(B,C))),meet(A,join(B,C))).
% 1.55/1.96 9 (wt=27) [] meet(A,join(B,meet(C,join(A,D)))) = join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D)))).
% 1.55/1.96 10 (wt=27) [flip(9)] join(meet(A,join(B,meet(A,C))),meet(A,join(meet(A,B),meet(C,D)))) = meet(A,join(B,meet(C,join(A,D)))).
% 1.55/1.96 11 (wt=27) [flip(1)] meet(join(A,meet(B,join(A,C))),join(A,meet(join(A,B),join(C,D)))) = join(A,meet(B,join(C,meet(A,D)))).
% 1.55/1.96 13 (wt=35) [demod([7,7]),flip(1)] -(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) = meet(a,meet(join(b,c),join(b,d)))).
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Demodulators:
% 1.55/1.96 1 (wt=5) [] meet(A,A) = A.
% 1.55/1.96 2 (wt=5) [] join(A,A) = A.
% 1.55/1.96 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.55/1.96 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.55/1.96 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.55/1.96 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.55/1.96 11 (wt=27) [flip(1)] meet(join(A,meet(B,join(A,C))),join(A,meet(join(A,B),join(C,D)))) = join(A,meet(B,join(C,meet(A,D)))).
% 1.55/1.96 12 (wt=25) [] meet(join(A,meet(B,C)),join(C,meet(A,B))) = join(meet(C,join(A,meet(B,C))),meet(A,join(B,C))).
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 Passive:
% 1.55/1.96 end_of_list.
% 1.55/1.96
% 1.55/1.96 UNIT CONFLICT from 4223 and x=x at 0.70 seconds.
% 1.55/1.96
% 1.55/1.96 ---------------- PROOF ----------------
% 1.55/1.96 % SZS output start Refutation
% See solution above
% 1.55/1.96 ------------ end of proof -------------
% 1.55/1.96
% 1.55/1.96
% 1.55/1.96 ------------- memory usage ------------
% 1.55/1.96 Memory dynamically allocated (tp_alloc): 14160.
% 1.55/1.96 type (bytes each) gets frees in use avail bytes
% 1.55/1.96 sym_ent ( 96) 58 0 58 0 5.4 K
% 1.55/1.96 term ( 16) 1250017 1059438 190579 40 3706.5 K
% 1.55/1.96 gen_ptr ( 8) 1294039 244213 1049826 56 8202.2 K
% 1.55/1.96 context ( 808) 436908 436906 2 9 8.7 K
% 1.55/1.96 trail ( 12) 256119 256119 0 8 0.1 K
% 1.55/1.96 bt_node ( 68) 55422 55419 3 22 1.7 K
% 1.55/1.96 ac_position (285432) 0 0 0 0 0.0 K
% 1.55/1.96 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.55/1.96 ac_match_free_vars_pos (4020)
% 1.55/1.96 0 0 0 0 0.0 K
% 1.55/1.96 discrim ( 12) 130780 89616 41164 43351 990.4 K
% 1.55/1.96 flat ( 40) 2832572 2832572 0 155 6.1 K
% 1.55/1.96 discrim_pos ( 12) 68526 68526 0 1 0.0 K
% 1.55/1.96 fpa_head ( 12) 13676 0 13676 0 160.3 K
% 1.55/1.96 fpa_tree ( 28) 10227 10227 0 45 1.2 K
% 1.55/1.96 fpa_pos ( 36) 5714 5714 0 1 0.0 K
% 1.55/1.96 literal ( 12) 21228 17005 4223 1 49.5 K
% 1.55/1.96 clause ( 24) 21228 17005 4223 1 99.0 K
% 1.55/1.96 list ( 12) 1551 1491 60 5 0.8 K
% 1.55/1.96 list_pos ( 20) 21950 12126 9824 4755 284.7 K
% 1.55/1.96 pair_index ( 40) 2 0 2 0 0.1 K
% 1.55/1.96
% 1.55/1.96 -------------- statistics -------------
% 1.55/1.96 Clauses input 12
% 1.55/1.96 Usable input 0
% 1.55/1.96 Sos input 12
% 1.55/1.96 Demodulators input 0
% 1.55/1.96 Passive input 0
% 1.55/1.96
% 1.55/1.96 Processed BS (before search) 16
% 1.55/1.96 Forward subsumed BS 3
% 1.55/1.96 Kept BS 13
% 1.55/1.96 New demodulators BS 8
% 1.55/1.96 Back demodulated BS 0
% 1.55/1.96
% 1.55/1.96 Clauses or pairs given 6416
% 1.55/1.96 Clauses generated 12460
% 1.55/1.96 Forward subsumed 8250
% 1.55/1.96 Deleted by weight 0
% 1.55/1.96 Deleted by variable count 0
% 1.55/1.96 Kept 4210
% 1.55/1.96 New demodulators 1484
% 1.55/1.96 Back demodulated 2837
% 1.55/1.96 Ordered paramod prunes 0
% 1.55/1.96 Basic paramod prunes 13088
% 1.55/1.96 Prime paramod prunes 361
% 1.55/1.96 Semantic prunes 0
% 1.55/1.96
% 1.55/1.96 Rewrite attmepts 350849
% 1.55/1.96 Rewrites 65226
% 1.55/1.96
% 1.55/1.96 FPA overloads 0
% 1.55/1.96 FPA underloads 0
% 1.55/1.96
% 1.55/1.96 Usable size 0
% 1.55/1.96 Sos size 1385
% 1.55/1.96 Demodulators size 779
% 1.55/1.96 Passive size 0
% 1.55/1.96 Disabled size 2837
% 1.55/1.96
% 1.55/1.96 Proofs found 1
% 1.55/1.96
% 1.55/1.96 ----------- times (seconds) ----------- Thu Jun 30 01:15:08 2022
% 1.55/1.96
% 1.55/1.96 user CPU time 0.70 (0 hr, 0 min, 0 sec)
% 1.55/1.96 system CPU time 0.20 (0 hr, 0 min, 0 sec)
% 1.55/1.96 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.55/1.96 input time 0.00
% 1.55/1.96 paramodulation time 0.04
% 1.55/1.96 demodulation time 0.16
% 1.55/1.96 orient time 0.04
% 1.55/1.96 weigh time 0.01
% 1.55/1.96 forward subsume time 0.02
% 1.55/1.96 back demod find time 0.05
% 1.55/1.96 conflict time 0.00
% 1.55/1.96 LRPO time 0.02
% 1.55/1.96 store clause time 0.21
% 1.55/1.96 disable clause time 0.11
% 1.55/1.96 prime paramod time 0.02
% 1.55/1.96 semantics time 0.00
% 1.55/1.96
% 1.55/1.96 EQP interrupted
%------------------------------------------------------------------------------