TSTP Solution File: RNG046+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : RNG046+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:12:10 EDT 2022
% Result : Theorem 1.83s 2.03s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 22 RR)
% Number of literals : 37 ( 17 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( ~ aScalar0(A)
| aScalar0(smndt0(A)) ),
file('RNG046+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ aScalar0(A)
| smndt0(smndt0(A)) = A ),
file('RNG046+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| ~ aScalar0(C)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
file('RNG046+1.p',unknown),
[] ).
cnf(24,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtasdt0(A,B) = sdtasdt0(B,A) ),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[23])]),
[iquote('copy,23,factor_simp')] ).
cnf(31,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtasdt0(A,smndt0(B)) = smndt0(sdtasdt0(A,B)) ),
file('RNG046+1.p',unknown),
[] ).
cnf(32,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| smndt0(sdtasdt0(A,B)) = sdtasdt0(A,smndt0(B)) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[31])]),
[iquote('copy,31,flip.3')] ).
cnf(33,axiom,
( ~ aScalar0(A)
| ~ aScalar0(B)
| sdtasdt0(smndt0(A),B) = smndt0(sdtasdt0(A,B)) ),
file('RNG046+1.p',unknown),
[] ).
cnf(34,plain,
( ~ aScalar0(A)
| ~ aScalar0(B)
| smndt0(sdtasdt0(A,B)) = sdtasdt0(smndt0(A),B) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[33])]),
[iquote('copy,33,flip.3')] ).
cnf(35,axiom,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
file('RNG046+1.p',unknown),
[] ).
cnf(76,axiom,
aScalar0(xx),
file('RNG046+1.p',unknown),
[] ).
cnf(77,axiom,
aScalar0(xy),
file('RNG046+1.p',unknown),
[] ).
cnf(242,plain,
smndt0(smndt0(xx)) = xx,
inference(hyper,[status(thm)],[76,17]),
[iquote('hyper,76,17')] ).
cnf(251,plain,
aScalar0(smndt0(xx)),
inference(hyper,[status(thm)],[76,10]),
[iquote('hyper,76,10')] ).
cnf(550,plain,
smndt0(sdtasdt0(xx,xy)) = sdtasdt0(smndt0(xx),xy),
inference(hyper,[status(thm)],[77,34,76]),
[iquote('hyper,77,34,76')] ).
cnf(554,plain,
smndt0(sdtasdt0(xy,xx)) = sdtasdt0(smndt0(xy),xx),
inference(hyper,[status(thm)],[77,34,76]),
[iquote('hyper,77,34,76')] ).
cnf(562,plain,
sdtasdt0(smndt0(xy),xx) = sdtasdt0(xy,smndt0(xx)),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[77,32,76]),554]),
[iquote('hyper,77,32,76,demod,554')] ).
cnf(670,plain,
sdtasdt0(xy,xx) = sdtasdt0(xx,xy),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[77,24,76])]),
[iquote('hyper,77,24,76,flip.1')] ).
cnf(767,plain,
sdtasdt0(smndt0(xx),xy) = sdtasdt0(xy,smndt0(xx)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[554]),670,550,562]),
[iquote('back_demod,553,demod,670,550,562')] ).
cnf(1289,plain,
smndt0(sdtasdt0(xy,smndt0(xx))) = sdtasdt0(smndt0(xy),smndt0(xx)),
inference(hyper,[status(thm)],[251,34,77]),
[iquote('hyper,251,34,77')] ).
cnf(1293,plain,
sdtasdt0(smndt0(xy),smndt0(xx)) = sdtasdt0(xx,xy),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[251,34,77]),767,1289,242]),
[iquote('hyper,251,34,77,demod,767,1289,242')] ).
cnf(1296,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[251,32,77]),767,1289,1293])]),
[iquote('hyper,251,32,77,demod,767,1289,1293,flip.1')] ).
cnf(1298,plain,
$false,
inference(binary,[status(thm)],[1296,35]),
[iquote('binary,1296.1,35.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG046+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:29:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/2.02 ----- Otter 3.3f, August 2004 -----
% 1.79/2.02 The process was started by sandbox on n027.cluster.edu,
% 1.79/2.02 Wed Jul 27 02:29:51 2022
% 1.79/2.02 The command was "./otter". The process ID is 27327.
% 1.79/2.02
% 1.79/2.02 set(prolog_style_variables).
% 1.79/2.02 set(auto).
% 1.79/2.02 dependent: set(auto1).
% 1.79/2.02 dependent: set(process_input).
% 1.79/2.02 dependent: clear(print_kept).
% 1.79/2.02 dependent: clear(print_new_demod).
% 1.79/2.02 dependent: clear(print_back_demod).
% 1.79/2.02 dependent: clear(print_back_sub).
% 1.79/2.02 dependent: set(control_memory).
% 1.79/2.02 dependent: assign(max_mem, 12000).
% 1.79/2.02 dependent: assign(pick_given_ratio, 4).
% 1.79/2.02 dependent: assign(stats_level, 1).
% 1.79/2.02 dependent: assign(max_seconds, 10800).
% 1.79/2.02 clear(print_given).
% 1.79/2.02
% 1.79/2.02 formula_list(usable).
% 1.79/2.02 all A (A=A).
% 1.79/2.02 all W0 (aNaturalNumber0(W0)->$T).
% 1.79/2.02 aNaturalNumber0(sz00).
% 1.79/2.02 all W0 (aNaturalNumber0(W0)->aNaturalNumber0(szszuzczcdt0(W0))&szszuzczcdt0(W0)!=sz00).
% 1.79/2.02 all W0 (aNaturalNumber0(W0)&W0!=sz00-> (exists W1 (aNaturalNumber0(W1)&W0=szszuzczcdt0(W1)))).
% 1.79/2.02 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (szszuzczcdt0(W0)=szszuzczcdt0(W1)->W0=W1)).
% 1.79/2.02 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (iLess0(W0,W1)->$T)).
% 1.79/2.02 all W0 (aNaturalNumber0(W0)->iLess0(W0,szszuzczcdt0(W0))).
% 1.79/2.02 all W0 (aScalar0(W0)->$T).
% 1.79/2.02 aScalar0(sz0z00).
% 1.79/2.02 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtpldt0(W0,W1))).
% 1.79/2.02 all W0 W1 (aScalar0(W0)&aScalar0(W1)->aScalar0(sdtasdt0(W0,W1))).
% 1.79/2.02 all W0 (aScalar0(W0)->aScalar0(smndt0(W0))).
% 1.79/2.02 all W0 (aScalar0(W0)->sdtpldt0(W0,sz0z00)=W0&sdtpldt0(sz0z00,W0)=W0&sdtasdt0(W0,sz0z00)=sz0z00&sdtasdt0(sz0z00,W0)=sz0z00&sdtpldt0(W0,smndt0(W0))=sz0z00&sdtpldt0(smndt0(W0),W0)=sz0z00&smndt0(smndt0(W0))=W0&smndt0(sz0z00)=sz0z00).
% 1.79/2.02 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0)&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 1.79/2.02 all W0 W1 W2 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)->sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))).
% 1.79/2.02 all W0 W1 W2 W3 (aScalar0(W0)&aScalar0(W1)&aScalar0(W2)&aScalar0(W3)->sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3)))).
% 1.79/2.02 all W0 W1 (aScalar0(W0)&aScalar0(W1)->sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))).
% 1.79/2.02 aScalar0(xx).
% 1.79/2.02 aScalar0(xy).
% 1.79/2.02 sdtasdt0(smndt0(xx),smndt0(xy))!=sdtasdt0(xx,xy).
% 1.79/2.02 end_of_list.
% 1.79/2.02
% 1.79/2.02 -------> usable clausifies to:
% 1.79/2.02
% 1.79/2.02 list(usable).
% 1.79/2.02 0 [] A=A.
% 1.79/2.02 0 [] -aNaturalNumber0(W0)|$T.
% 1.79/2.02 0 [] aNaturalNumber0(sz00).
% 1.79/2.02 0 [] -aNaturalNumber0(W0)|aNaturalNumber0(szszuzczcdt0(W0)).
% 1.79/2.02 0 [] -aNaturalNumber0(W0)|szszuzczcdt0(W0)!=sz00.
% 1.79/2.02 0 [] -aNaturalNumber0(W0)|W0=sz00|aNaturalNumber0($f1(W0)).
% 1.79/2.02 0 [] -aNaturalNumber0(W0)|W0=sz00|W0=szszuzczcdt0($f1(W0)).
% 1.79/2.02 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|szszuzczcdt0(W0)!=szszuzczcdt0(W1)|W0=W1.
% 1.79/2.02 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -iLess0(W0,W1)|$T.
% 1.79/2.02 0 [] -aNaturalNumber0(W0)|iLess0(W0,szszuzczcdt0(W0)).
% 1.79/2.02 0 [] -aScalar0(W0)|$T.
% 1.79/2.02 0 [] aScalar0(sz0z00).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtpldt0(W0,W1)).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)|aScalar0(sdtasdt0(W0,W1)).
% 1.79/2.02 0 [] -aScalar0(W0)|aScalar0(smndt0(W0)).
% 1.79/2.02 0 [] -aScalar0(W0)|sdtpldt0(W0,sz0z00)=W0.
% 1.79/2.02 0 [] -aScalar0(W0)|sdtpldt0(sz0z00,W0)=W0.
% 1.79/2.02 0 [] -aScalar0(W0)|sdtasdt0(W0,sz0z00)=sz0z00.
% 1.79/2.02 0 [] -aScalar0(W0)|sdtasdt0(sz0z00,W0)=sz0z00.
% 1.79/2.02 0 [] -aScalar0(W0)|sdtpldt0(W0,smndt0(W0))=sz0z00.
% 1.79/2.02 0 [] -aScalar0(W0)|sdtpldt0(smndt0(W0),W0)=sz0z00.
% 1.79/2.02 0 [] -aScalar0(W0)|smndt0(smndt0(W0))=W0.
% 1.79/2.02 0 [] -aScalar0(W0)|smndt0(sz0z00)=sz0z00.
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)|sdtasdt0(sdtpldt0(W0,W1),W2)=sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)| -aScalar0(W2)| -aScalar0(W3)|sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1)).
% 1.79/2.02 0 [] -aScalar0(W0)| -aScalar0(W1)|sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1)).
% 1.79/2.02 0 [] aScalar0(xx).
% 1.79/2.02 0 [] aScalar0(xy).
% 1.79/2.02 0 [] sdtasdt0(smndt0(xx),smndt0(xy))!=sdtasdt0(xx,xy).
% 1.79/2.02 end_of_list.
% 1.79/2.02
% 1.79/2.02 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.79/2.02
% 1.79/2.02 This ia a non-Horn set with equality. The strategy will be
% 1.79/2.02 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/2.02 deletion, with positive clauses in sos and nonpositive
% 1.79/2.02 clauses in usable.
% 1.79/2.02
% 1.79/2.02 dependent: set(knuth_bendix).
% 1.79/2.02 dependent: set(anl_eq).
% 1.79/2.02 dependent: set(para_from).
% 1.79/2.02 dependent: set(para_into).
% 1.79/2.02 dependent: clear(para_from_right).
% 1.79/2.02 dependent: clear(para_into_right).
% 1.79/2.02 dependent: set(para_from_vars).
% 1.79/2.02 dependent: set(eq_units_both_ways).
% 1.79/2.02 dependent: set(dynamic_demod_all).
% 1.79/2.02 dependent: set(dynamic_demod).
% 1.79/2.02 dependent: set(order_eq).
% 1.79/2.02 dependent: set(back_demod).
% 1.79/2.02 dependent: set(lrpo).
% 1.79/2.02 dependent: set(hyper_res).
% 1.79/2.02 dependent: set(unit_deletion).
% 1.79/2.02 dependent: set(factor).
% 1.79/2.02
% 1.79/2.02 ------------> process usable:
% 1.79/2.02 ** KEPT (pick-wt=5): 1 [] -aNaturalNumber0(A)|aNaturalNumber0(szszuzczcdt0(A)).
% 1.79/2.02 ** KEPT (pick-wt=6): 2 [] -aNaturalNumber0(A)|szszuzczcdt0(A)!=sz00.
% 1.79/2.02 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)|A=sz00|aNaturalNumber0($f1(A)).
% 1.79/2.02 ** KEPT (pick-wt=10): 5 [copy,4,flip.3] -aNaturalNumber0(A)|A=sz00|szszuzczcdt0($f1(A))=A.
% 1.79/2.02 ** KEPT (pick-wt=12): 6 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|szszuzczcdt0(A)!=szszuzczcdt0(B)|A=B.
% 1.79/2.02 ** KEPT (pick-wt=6): 7 [] -aNaturalNumber0(A)|iLess0(A,szszuzczcdt0(A)).
% 1.79/2.02 ** KEPT (pick-wt=8): 8 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtpldt0(A,B)).
% 1.79/2.02 ** KEPT (pick-wt=8): 9 [] -aScalar0(A)| -aScalar0(B)|aScalar0(sdtasdt0(A,B)).
% 1.79/2.02 ** KEPT (pick-wt=5): 10 [] -aScalar0(A)|aScalar0(smndt0(A)).
% 1.79/2.02 ** KEPT (pick-wt=7): 11 [] -aScalar0(A)|sdtpldt0(A,sz0z00)=A.
% 1.79/2.02 ** KEPT (pick-wt=7): 12 [] -aScalar0(A)|sdtpldt0(sz0z00,A)=A.
% 1.79/2.02 ** KEPT (pick-wt=7): 13 [] -aScalar0(A)|sdtasdt0(A,sz0z00)=sz0z00.
% 1.79/2.02 ** KEPT (pick-wt=7): 14 [] -aScalar0(A)|sdtasdt0(sz0z00,A)=sz0z00.
% 1.79/2.02 ** KEPT (pick-wt=8): 15 [] -aScalar0(A)|sdtpldt0(A,smndt0(A))=sz0z00.
% 1.79/2.02 ** KEPT (pick-wt=8): 16 [] -aScalar0(A)|sdtpldt0(smndt0(A),A)=sz0z00.
% 1.79/2.02 ** KEPT (pick-wt=7): 17 [] -aScalar0(A)|smndt0(smndt0(A))=A.
% 1.79/2.02 ** KEPT (pick-wt=6): 18 [] -aScalar0(A)|smndt0(sz0z00)=sz0z00.
% 1.79/2.02 ** KEPT (pick-wt=17): 19 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 1.79/2.02 ** KEPT (pick-wt=11): 21 [copy,20,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 1.79/2.02 ** KEPT (pick-wt=17): 22 [] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 1.79/2.02 ** KEPT (pick-wt=11): 24 [copy,23,factor_simp] -aScalar0(A)| -aScalar0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 1.79/2.02 ** KEPT (pick-wt=19): 26 [copy,25,flip.4] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 1.79/2.02 ** KEPT (pick-wt=19): 28 [copy,27,flip.4] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)|sdtpldt0(sdtasdt0(A,C),sdtasdt0(B,C))=sdtasdt0(sdtpldt0(A,B),C).
% 1.79/2.02 ** KEPT (pick-wt=31): 30 [copy,29,flip.5] -aScalar0(A)| -aScalar0(B)| -aScalar0(C)| -aScalar0(D)|sdtpldt0(sdtpldt0(sdtasdt0(A,C),sdtasdt0(A,D)),sdtpldt0(sdtasdt0(B,C),sdtasdt0(B,D)))=sdtasdt0(sdtpldt0(A,B),sdtpldt0(C,D)).
% 1.79/2.02 ** KEPT (pick-wt=13): 32 [copy,31,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(A,smndt0(B)).
% 1.79/2.02 ** KEPT (pick-wt=13): 34 [copy,33,flip.3] -aScalar0(A)| -aScalar0(B)|smndt0(sdtasdt0(A,B))=sdtasdt0(smndt0(A),B).
% 1.79/2.02 ** KEPT (pick-wt=9): 35 [] sdtasdt0(smndt0(xx),smndt0(xy))!=sdtasdt0(xx,xy).
% 1.79/2.02
% 1.79/2.02 ------------> process sos:
% 1.79/2.02 ** KEPT (pick-wt=3): 73 [] A=A.
% 1.79/2.02 ** KEPT (pick-wt=2): 74 [] aNaturalNumber0(sz00).
% 1.79/2.02 ** KEPT (pick-wt=2): 75 [] aScalar0(sz0z00).
% 1.79/2.02 ** KEPT (pick-wt=2): 76 [] aScalar0(xx).
% 1.83/2.03 ** KEPT (pick-wt=2): 77 [] aScalar0(xy).
% 1.83/2.03 Following clause subsumed by 73 during input processing: 0 [copy,73,flip.1] A=A.
% 1.83/2.03 73 back subsumes 46.
% 1.83/2.03 73 back subsumes 42.
% 1.83/2.03 73 back subsumes 36.
% 1.83/2.03
% 1.83/2.03 ======= end of input processing =======
% 1.83/2.03
% 1.83/2.03 =========== start of search ===========
% 1.83/2.03
% 1.83/2.03 -------- PROOF --------
% 1.83/2.03
% 1.83/2.03 ----> UNIT CONFLICT at 0.02 sec ----> 1298 [binary,1296.1,35.1] $F.
% 1.83/2.03
% 1.83/2.03 Length of proof is 13. Level of proof is 6.
% 1.83/2.03
% 1.83/2.03 ---------------- PROOF ----------------
% 1.83/2.03 % SZS status Theorem
% 1.83/2.03 % SZS output start Refutation
% See solution above
% 1.83/2.03 ------------ end of proof -------------
% 1.83/2.03
% 1.83/2.03
% 1.83/2.03 Search stopped by max_proofs option.
% 1.83/2.03
% 1.83/2.03
% 1.83/2.03 Search stopped by max_proofs option.
% 1.83/2.03
% 1.83/2.03 ============ end of search ============
% 1.83/2.03
% 1.83/2.03 -------------- statistics -------------
% 1.83/2.03 clauses given 8
% 1.83/2.03 clauses generated 1483
% 1.83/2.03 clauses kept 695
% 1.83/2.03 clauses forward subsumed 1092
% 1.83/2.03 clauses back subsumed 3
% 1.83/2.03 Kbytes malloced 2929
% 1.83/2.03
% 1.83/2.03 ----------- times (seconds) -----------
% 1.83/2.03 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.83/2.03 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.83/2.03 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.83/2.03
% 1.83/2.03 That finishes the proof of the theorem.
% 1.83/2.03
% 1.83/2.03 Process 27327 finished Wed Jul 27 02:29:53 2022
% 1.83/2.03 Otter interrupted
% 1.83/2.04 PROOF FOUND
%------------------------------------------------------------------------------