TSTP Solution File: RNG082+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 : 300s
% DateTime : Wed Jul 27 13:12:15 EDT 2022
% Result : Theorem 2.07s 2.29s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 67 ( 48 unt; 0 nHn; 67 RR)
% Number of literals : 101 ( 56 equ; 37 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aElement0(A)
| aElement0(smndt0(A)) ),
file('RNG082+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| aElement0(sdtasdt0(A,B)) ),
file('RNG082+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| sdtpldt0(A,B) = sdtpldt0(B,A) ),
file('RNG082+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| ~ aElement0(C)
| sdtpldt0(sdtpldt0(A,B),C) = sdtpldt0(A,sdtpldt0(B,C)) ),
file('RNG082+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ aElement0(A)
| sdtpldt0(A,sz00) = A ),
file('RNG082+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ aElement0(A)
| A = sdtpldt0(sz00,A) ),
file('RNG082+1.p',unknown),
[] ).
cnf(8,plain,
( ~ aElement0(A)
| sdtpldt0(sz00,A) = A ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,flip.2')] ).
cnf(9,axiom,
( ~ aElement0(A)
| sdtpldt0(A,smndt0(A)) = sz00 ),
file('RNG082+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ aElement0(A)
| sz00 = sdtpldt0(smndt0(A),A) ),
file('RNG082+1.p',unknown),
[] ).
cnf(11,plain,
( ~ aElement0(A)
| sdtpldt0(smndt0(A),A) = sz00 ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,flip.2')] ).
cnf(12,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
file('RNG082+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| ~ aElement0(C)
| sdtasdt0(sdtasdt0(A,B),C) = sdtasdt0(A,sdtasdt0(B,C)) ),
file('RNG082+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ aElement0(A)
| sdtasdt0(A,sz10) = A ),
file('RNG082+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ aElement0(A)
| A = sdtasdt0(sz10,A) ),
file('RNG082+1.p',unknown),
[] ).
cnf(16,plain,
( ~ aElement0(A)
| sdtasdt0(sz10,A) = A ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[15])]),
[iquote('copy,15,flip.2')] ).
cnf(17,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| ~ aElement0(C)
| sdtasdt0(A,sdtpldt0(B,C)) = sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) ),
file('RNG082+1.p',unknown),
[] ).
cnf(18,plain,
( ~ aElement0(A)
| ~ aElement0(B)
| ~ aElement0(C)
| sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C)) = sdtasdt0(A,sdtpldt0(B,C)) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[17])]),
[iquote('copy,17,flip.4')] ).
cnf(19,axiom,
( ~ aElement0(A)
| ~ aElement0(B)
| ~ aElement0(C)
| sdtasdt0(sdtpldt0(B,C),A) = sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A)) ),
file('RNG082+1.p',unknown),
[] ).
cnf(20,plain,
( ~ aElement0(A)
| ~ aElement0(B)
| ~ aElement0(C)
| sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A)) = sdtasdt0(sdtpldt0(B,C),A) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[19])]),
[iquote('copy,19,flip.4')] ).
cnf(21,axiom,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
file('RNG082+1.p',unknown),
[] ).
cnf(22,plain,
smndt0(xx) != sdtasdt0(smndt0(sz10),xx),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[21])]),
[iquote('copy,21,flip.1')] ).
cnf(24,axiom,
aElement0(sz00),
file('RNG082+1.p',unknown),
[] ).
cnf(25,axiom,
aElement0(sz10),
file('RNG082+1.p',unknown),
[] ).
cnf(26,axiom,
aElement0(xx),
file('RNG082+1.p',unknown),
[] ).
cnf(34,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(hyper,[status(thm)],[24,14]),
[iquote('hyper,24,14')] ).
cnf(36,plain,
sdtasdt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sz00)),
inference(hyper,[status(thm)],[24,13,24,24]),
[iquote('hyper,24,13,24,24')] ).
cnf(43,plain,
aElement0(sdtasdt0(sz00,sz00)),
inference(hyper,[status(thm)],[24,3,24]),
[iquote('hyper,24,3,24')] ).
cnf(69,plain,
sdtasdt0(sz00,sdtpldt0(sz10,sz00)) = sdtpldt0(sz00,sdtasdt0(sz00,sz00)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[25,18,24,24]),34])]),
[iquote('hyper,25,18,24,24,demod,34,flip.1')] ).
cnf(78,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(hyper,[status(thm)],[25,11]),
[iquote('hyper,25,11')] ).
cnf(80,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(hyper,[status(thm)],[25,9]),
[iquote('hyper,25,9')] ).
cnf(84,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(hyper,[status(thm)],[25,6]),
[iquote('hyper,25,6')] ).
cnf(92,plain,
aElement0(smndt0(sz10)),
inference(hyper,[status(thm)],[25,1]),
[iquote('hyper,25,1')] ).
cnf(98,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sz00,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[69]),84,34])]),
[iquote('back_demod,69,demod,84,34,flip.1')] ).
cnf(133,plain,
sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(sz00,xx)) = sdtasdt0(sz10,xx),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[26,20,25,24]),84]),
[iquote('hyper,26,20,25,24,demod,84')] ).
cnf(154,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xx)) = sdtpldt0(sz00,sdtasdt0(sz00,xx)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[26,18,24,25]),34])]),
[iquote('hyper,26,18,24,25,demod,34,flip.1')] ).
cnf(165,plain,
sdtpldt0(sdtasdt0(sz00,xx),sz00) = sdtasdt0(sz00,sdtpldt0(xx,sz10)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[26,18,24,25]),34]),
[iquote('hyper,26,18,24,25,demod,34')] ).
cnf(178,plain,
sdtasdt0(sz10,xx) = xx,
inference(hyper,[status(thm)],[26,16]),
[iquote('hyper,26,16')] ).
cnf(180,plain,
sdtasdt0(xx,sz10) = xx,
inference(hyper,[status(thm)],[26,14]),
[iquote('hyper,26,14')] ).
cnf(208,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[26,12,24])]),
[iquote('hyper,26,12,24,flip.1')] ).
cnf(210,plain,
sdtpldt0(smndt0(xx),xx) = sz00,
inference(hyper,[status(thm)],[26,11]),
[iquote('hyper,26,11')] ).
cnf(214,plain,
sdtpldt0(sz00,xx) = xx,
inference(hyper,[status(thm)],[26,8]),
[iquote('hyper,26,8')] ).
cnf(216,plain,
sdtpldt0(xx,sz00) = xx,
inference(hyper,[status(thm)],[26,6]),
[iquote('hyper,26,6')] ).
cnf(244,plain,
sdtpldt0(xx,sz10) = sdtpldt0(sz10,xx),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[26,4,25])]),
[iquote('hyper,26,4,25,flip.1')] ).
cnf(246,plain,
aElement0(sdtasdt0(sz00,xx)),
inference(hyper,[status(thm)],[26,3,24]),
[iquote('hyper,26,3,24')] ).
cnf(249,plain,
aElement0(smndt0(xx)),
inference(hyper,[status(thm)],[26,1]),
[iquote('hyper,26,1')] ).
cnf(261,plain,
sdtpldt0(xx,sdtasdt0(sz00,xx)) = xx,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[133]),178,178]),
[iquote('back_demod,133,demod,178,178')] ).
cnf(299,plain,
sdtpldt0(sdtasdt0(sz00,xx),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xx)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[165]),244,154]),
[iquote('back_demod,165,demod,244,154')] ).
cnf(638,plain,
sdtpldt0(xx,sdtasdt0(xx,smndt0(sz10))) = sdtasdt0(sz00,xx),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[92,18,26,25]),180,80,208]),
[iquote('hyper,92,18,26,25,demod,180,80,208')] ).
cnf(679,plain,
sdtpldt0(sdtasdt0(sz00,smndt0(sz10)),sz00) = sdtasdt0(sz00,sz00),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[92,18,24,25]),34,78]),
[iquote('hyper,92,18,24,25,demod,34,78')] ).
cnf(727,plain,
sdtasdt0(sdtasdt0(sz00,sz00),smndt0(sz10)) = sdtasdt0(sz00,sdtasdt0(sz00,smndt0(sz10))),
inference(hyper,[status(thm)],[92,13,24,24]),
[iquote('hyper,92,13,24,24')] ).
cnf(763,plain,
sdtasdt0(smndt0(sz10),xx) = sdtasdt0(xx,smndt0(sz10)),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[92,12,26])]),
[iquote('hyper,92,12,26,flip.1')] ).
cnf(765,plain,
sdtasdt0(smndt0(sz10),sz00) = sdtasdt0(sz00,smndt0(sz10)),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[92,12,24])]),
[iquote('hyper,92,12,24,flip.1')] ).
cnf(773,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference(hyper,[status(thm)],[92,6]),
[iquote('hyper,92,6')] ).
cnf(823,plain,
aElement0(sdtasdt0(xx,smndt0(sz10))),
inference(hyper,[status(thm)],[92,3,26]),
[iquote('hyper,92,3,26')] ).
cnf(874,plain,
smndt0(xx) != sdtasdt0(xx,smndt0(sz10)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[22]),763]),
[iquote('back_demod,22,demod,763')] ).
cnf(1321,plain,
sdtpldt0(smndt0(xx),sz00) = smndt0(xx),
inference(hyper,[status(thm)],[249,6]),
[iquote('hyper,249,6')] ).
cnf(1703,plain,
sdtpldt0(sdtasdt0(sz00,smndt0(sz10)),sdtasdt0(sz00,sdtasdt0(sz00,sz00))) = sdtasdt0(sdtpldt0(smndt0(sz10),sdtasdt0(sz00,sz00)),sz00),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[43,20,24,92]),765,36]),
[iquote('hyper,43,20,24,92,demod,765,36')] ).
cnf(1707,plain,
sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,sdtasdt0(sz00,sz00))) = sdtasdt0(sdtpldt0(xx,sdtasdt0(sz00,sz00)),sz00),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[43,20,24,26]),208,36]),
[iquote('hyper,43,20,24,26,demod,208,36')] ).
cnf(1727,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,smndt0(sz10))),sdtasdt0(xx,smndt0(sz10))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,sz00),xx),smndt0(sz10)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[43,20,92,26]),727]),
[iquote('hyper,43,20,92,26,demod,727')] ).
cnf(2068,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[43,8]),98])]),
[iquote('hyper,43,8,demod,98,flip.1')] ).
cnf(2092,plain,
sdtasdt0(sz00,smndt0(sz10)) = sz00,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1703]),2068,2068,679,2068,2068,773,765])]),
[iquote('back_demod,1703,demod,2068,2068,679,2068,2068,773,765,flip.1')] ).
cnf(2094,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1707]),2068,2068,299,2068,216,208]),
[iquote('back_demod,1707,demod,2068,2068,299,2068,216,208')] ).
cnf(2132,plain,
sdtpldt0(sz00,sdtasdt0(xx,smndt0(sz10))) = sdtasdt0(xx,smndt0(sz10)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1727]),2092,2068,2068,214]),
[iquote('back_demod,1727,demod,2092,2068,2068,214')] ).
cnf(4344,plain,
sdtasdt0(sz00,xx) = sz00,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[246,5,249,26]),210,2094,261,210]),
[iquote('hyper,246,5,249,26,demod,210,2094,261,210')] ).
cnf(4444,plain,
sdtpldt0(xx,sdtasdt0(xx,smndt0(sz10))) = sz00,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[638]),4344]),
[iquote('back_demod,638,demod,4344')] ).
cnf(5494,plain,
smndt0(xx) = sdtasdt0(xx,smndt0(sz10)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[823,5,249,26]),210,2132,4444,1321])]),
[iquote('hyper,823,5,249,26,demod,210,2132,4444,1321,flip.1')] ).
cnf(5496,plain,
$false,
inference(binary,[status(thm)],[5494,874]),
[iquote('binary,5494.1,874.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:26:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.54/2.11 ----- Otter 3.3f, August 2004 -----
% 1.54/2.11 The process was started by sandbox on n023.cluster.edu,
% 1.54/2.11 Wed Jul 27 02:26:33 2022
% 1.54/2.11 The command was "./otter". The process ID is 10692.
% 1.54/2.11
% 1.54/2.11 set(prolog_style_variables).
% 1.54/2.11 set(auto).
% 1.54/2.11 dependent: set(auto1).
% 1.54/2.11 dependent: set(process_input).
% 1.54/2.11 dependent: clear(print_kept).
% 1.54/2.11 dependent: clear(print_new_demod).
% 1.54/2.11 dependent: clear(print_back_demod).
% 1.54/2.11 dependent: clear(print_back_sub).
% 1.54/2.11 dependent: set(control_memory).
% 1.54/2.11 dependent: assign(max_mem, 12000).
% 1.54/2.11 dependent: assign(pick_given_ratio, 4).
% 1.54/2.11 dependent: assign(stats_level, 1).
% 1.54/2.11 dependent: assign(max_seconds, 10800).
% 1.54/2.11 clear(print_given).
% 1.54/2.11
% 1.54/2.11 formula_list(usable).
% 1.54/2.11 all A (A=A).
% 1.54/2.11 all W0 (aElement0(W0)->$T).
% 1.54/2.11 aElement0(sz00).
% 1.54/2.11 aElement0(sz10).
% 1.54/2.11 all W0 (aElement0(W0)->aElement0(smndt0(W0))).
% 1.54/2.11 all W0 W1 (aElement0(W0)&aElement0(W1)->aElement0(sdtpldt0(W0,W1))).
% 1.54/2.11 all W0 W1 (aElement0(W0)&aElement0(W1)->aElement0(sdtasdt0(W0,W1))).
% 1.54/2.11 all W0 W1 (aElement0(W0)&aElement0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 1.54/2.11 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 1.54/2.11 all W0 (aElement0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 1.54/2.11 all W0 (aElement0(W0)->sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)).
% 1.54/2.11 all W0 W1 (aElement0(W0)&aElement0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 1.54/2.11 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 1.54/2.11 all W0 (aElement0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 1.54/2.11 all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))).
% 1.54/2.11 aElement0(xx).
% 1.54/2.11 sdtasdt0(smndt0(sz10),xx)!=smndt0(xx).
% 1.54/2.11 end_of_list.
% 1.54/2.11
% 1.54/2.11 -------> usable clausifies to:
% 1.54/2.11
% 1.54/2.11 list(usable).
% 1.54/2.11 0 [] A=A.
% 1.54/2.11 0 [] -aElement0(W0)|$T.
% 1.54/2.11 0 [] aElement0(sz00).
% 1.54/2.11 0 [] aElement0(sz10).
% 1.54/2.11 0 [] -aElement0(W0)|aElement0(smndt0(W0)).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)|aElement0(sdtpldt0(W0,W1)).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)|aElement0(sdtasdt0(W0,W1)).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 1.54/2.11 0 [] -aElement0(W0)|sdtpldt0(W0,sz00)=W0.
% 1.54/2.11 0 [] -aElement0(W0)|W0=sdtpldt0(sz00,W0).
% 1.54/2.11 0 [] -aElement0(W0)|sdtpldt0(W0,smndt0(W0))=sz00.
% 1.54/2.11 0 [] -aElement0(W0)|sz00=sdtpldt0(smndt0(W0),W0).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 1.54/2.11 0 [] -aElement0(W0)|sdtasdt0(W0,sz10)=W0.
% 1.54/2.11 0 [] -aElement0(W0)|W0=sdtasdt0(sz10,W0).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 1.54/2.11 0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 1.54/2.11 0 [] aElement0(xx).
% 1.54/2.11 0 [] sdtasdt0(smndt0(sz10),xx)!=smndt0(xx).
% 1.54/2.11 end_of_list.
% 1.54/2.11
% 1.54/2.11 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 1.54/2.11
% 1.54/2.11 This is a Horn set with equality. The strategy will be
% 1.54/2.11 Knuth-Bendix and hyper_res, with positive clauses in
% 1.54/2.11 sos and nonpositive clauses in usable.
% 1.54/2.11
% 1.54/2.11 dependent: set(knuth_bendix).
% 1.54/2.11 dependent: set(anl_eq).
% 1.54/2.11 dependent: set(para_from).
% 1.54/2.11 dependent: set(para_into).
% 1.54/2.11 dependent: clear(para_from_right).
% 1.54/2.11 dependent: clear(para_into_right).
% 1.54/2.11 dependent: set(para_from_vars).
% 1.54/2.11 dependent: set(eq_units_both_ways).
% 1.54/2.11 dependent: set(dynamic_demod_all).
% 1.54/2.11 dependent: set(dynamic_demod).
% 1.54/2.11 dependent: set(order_eq).
% 1.54/2.11 dependent: set(back_demod).
% 1.54/2.11 dependent: set(lrpo).
% 1.54/2.11 dependent: set(hyper_res).
% 1.54/2.11 dependent: clear(order_hyper).
% 1.54/2.11
% 1.54/2.11 ------------> process usable:
% 1.54/2.11 ** KEPT (pick-wt=5): 1 [] -aElement0(A)|aElement0(smndt0(A)).
% 1.54/2.11 ** KEPT (pick-wt=8): 2 [] -aElement0(A)| -aElement0(B)|aElement0(sdtpldt0(A,B)).
% 1.54/2.11 ** KEPT (pick-wt=8): 3 [] -aElement0(A)| -aElement0(B)|aElement0(sdtasdt0(A,B)).
% 1.54/2.11 ** KEPT (pick-wt=11): 4 [] -aElement0(A)| -aElement0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 1.54/2.11 ** KEPT (pick-wt=17): 5 [] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 2.07/2.29 ** KEPT (pick-wt=7): 6 [] -aElement0(A)|sdtpldt0(A,sz00)=A.
% 2.07/2.29 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aElement0(A)|sdtpldt0(sz00,A)=A.
% 2.07/2.29 ** KEPT (pick-wt=8): 9 [] -aElement0(A)|sdtpldt0(A,smndt0(A))=sz00.
% 2.07/2.29 ** KEPT (pick-wt=8): 11 [copy,10,flip.2] -aElement0(A)|sdtpldt0(smndt0(A),A)=sz00.
% 2.07/2.29 ** KEPT (pick-wt=11): 12 [] -aElement0(A)| -aElement0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 2.07/2.29 ** KEPT (pick-wt=17): 13 [] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 2.07/2.29 ** KEPT (pick-wt=7): 14 [] -aElement0(A)|sdtasdt0(A,sz10)=A.
% 2.07/2.29 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aElement0(A)|sdtasdt0(sz10,A)=A.
% 2.07/2.29 ** KEPT (pick-wt=19): 18 [copy,17,flip.4] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 2.07/2.29 ** KEPT (pick-wt=19): 20 [copy,19,flip.4] -aElement0(A)| -aElement0(B)| -aElement0(C)|sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A))=sdtasdt0(sdtpldt0(B,C),A).
% 2.07/2.29 ** KEPT (pick-wt=7): 22 [copy,21,flip.1] smndt0(xx)!=sdtasdt0(smndt0(sz10),xx).
% 2.07/2.29
% 2.07/2.29 ------------> process sos:
% 2.07/2.29 ** KEPT (pick-wt=3): 23 [] A=A.
% 2.07/2.29 ** KEPT (pick-wt=2): 24 [] aElement0(sz00).
% 2.07/2.29 ** KEPT (pick-wt=2): 25 [] aElement0(sz10).
% 2.07/2.29 ** KEPT (pick-wt=2): 26 [] aElement0(xx).
% 2.07/2.29 Following clause subsumed by 23 during input processing: 0 [copy,23,flip.1] A=A.
% 2.07/2.29
% 2.07/2.29 ======= end of input processing =======
% 2.07/2.29
% 2.07/2.29 =========== start of search ===========
% 2.07/2.29
% 2.07/2.29
% 2.07/2.29 Resetting weight limit to 7.
% 2.07/2.29
% 2.07/2.29
% 2.07/2.29 Resetting weight limit to 7.
% 2.07/2.29
% 2.07/2.29 sos_size=1105
% 2.07/2.29
% 2.07/2.29 -------- PROOF --------
% 2.07/2.29
% 2.07/2.29 ----> UNIT CONFLICT at 0.18 sec ----> 5496 [binary,5494.1,874.1] $F.
% 2.07/2.29
% 2.07/2.29 Length of proof is 48. Level of proof is 8.
% 2.07/2.29
% 2.07/2.29 ---------------- PROOF ----------------
% 2.07/2.29 % SZS status Theorem
% 2.07/2.29 % SZS output start Refutation
% See solution above
% 2.07/2.29 ------------ end of proof -------------
% 2.07/2.29
% 2.07/2.29
% 2.07/2.29 Search stopped by max_proofs option.
% 2.07/2.29
% 2.07/2.29
% 2.07/2.29 Search stopped by max_proofs option.
% 2.07/2.29
% 2.07/2.29 ============ end of search ============
% 2.07/2.29
% 2.07/2.29 -------------- statistics -------------
% 2.07/2.29 clauses given 28
% 2.07/2.29 clauses generated 7980
% 2.07/2.29 clauses kept 2803
% 2.07/2.29 clauses forward subsumed 3408
% 2.07/2.29 clauses back subsumed 0
% 2.07/2.29 Kbytes malloced 4882
% 2.07/2.29
% 2.07/2.29 ----------- times (seconds) -----------
% 2.07/2.29 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 2.07/2.29 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.07/2.29 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.07/2.29
% 2.07/2.29 That finishes the proof of the theorem.
% 2.07/2.29
% 2.07/2.29 Process 10692 finished Wed Jul 27 02:26:35 2022
% 2.07/2.29 Otter interrupted
% 2.07/2.29 PROOF FOUND
%------------------------------------------------------------------------------