TSTP Solution File: NUM545+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:08:47 EDT 2022
% Result : Theorem 26.28s 26.43s
% Output : Refutation 26.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 11 unt; 1 nHn; 18 RR)
% Number of literals : 25 ( 2 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
( ~ aSet0(A)
| aSubsetOf0(A,A) ),
file('NUM545+2.p',unknown),
[] ).
cnf(39,axiom,
( ~ aElementOf0(A,szNzAzT0)
| aElementOf0(szszuzczcdt0(A),szNzAzT0) ),
file('NUM545+2.p',unknown),
[] ).
cnf(89,axiom,
( ~ aElementOf0(A,xS)
| aElementOf0(A,szNzAzT0) ),
file('NUM545+2.p',unknown),
[] ).
cnf(99,axiom,
( ~ aElementOf0(A,xS)
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('NUM545+2.p',unknown),
[] ).
cnf(107,axiom,
( ~ aElementOf0(A,szNzAzT0)
| aElementOf0(dollar_f10(A),xS) ),
file('NUM545+2.p',unknown),
[] ).
cnf(109,axiom,
( ~ aElementOf0(A,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(A)) ),
file('NUM545+2.p',unknown),
[] ).
cnf(137,axiom,
aElementOf0(sz00,szNzAzT0),
file('NUM545+2.p',unknown),
[] ).
cnf(138,axiom,
slbdtrb0(sz00) = slcrc0,
file('NUM545+2.p',unknown),
[] ).
cnf(140,axiom,
aSet0(xS),
file('NUM545+2.p',unknown),
[] ).
cnf(143,axiom,
( xS = slcrc0
| aElementOf0(szmzazxdt0(xS),xS) ),
file('NUM545+2.p',unknown),
[] ).
cnf(237,plain,
aSubsetOf0(xS,xS),
inference(hyper,[status(thm)],[140,12]),
[iquote('hyper,140,12')] ).
cnf(265,plain,
aElementOf0(dollar_f10(sz00),xS),
inference(hyper,[status(thm)],[137,107]),
[iquote('hyper,137,107')] ).
cnf(652,plain,
~ aSubsetOf0(xS,slcrc0),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[138,109]),137]),
[iquote('para_from,138.1.1,109.2.2,unit_del,137')] ).
cnf(1190,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[143,237]),652]),
[iquote('para_from,143.1.1,237.1.2,unit_del,652')] ).
cnf(1375,plain,
aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(hyper,[status(thm)],[265,99]),
[iquote('hyper,265,99')] ).
cnf(1517,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(hyper,[status(thm)],[1190,89]),
[iquote('hyper,1190,89')] ).
cnf(1554,plain,
aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference(hyper,[status(thm)],[1517,39]),
[iquote('hyper,1517,39')] ).
cnf(1647,plain,
$false,
inference(hyper,[status(thm)],[1375,109,1554]),
[iquote('hyper,1375,109,1554')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:56:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.48/2.64 ----- Otter 3.3f, August 2004 -----
% 2.48/2.64 The process was started by sandbox on n011.cluster.edu,
% 2.48/2.64 Wed Jul 27 09:56:25 2022
% 2.48/2.64 The command was "./otter". The process ID is 28971.
% 2.48/2.64
% 2.48/2.64 set(prolog_style_variables).
% 2.48/2.64 set(auto).
% 2.48/2.64 dependent: set(auto1).
% 2.48/2.64 dependent: set(process_input).
% 2.48/2.64 dependent: clear(print_kept).
% 2.48/2.64 dependent: clear(print_new_demod).
% 2.48/2.64 dependent: clear(print_back_demod).
% 2.48/2.64 dependent: clear(print_back_sub).
% 2.48/2.64 dependent: set(control_memory).
% 2.48/2.64 dependent: assign(max_mem, 12000).
% 2.48/2.64 dependent: assign(pick_given_ratio, 4).
% 2.48/2.64 dependent: assign(stats_level, 1).
% 2.48/2.64 dependent: assign(max_seconds, 10800).
% 2.48/2.64 clear(print_given).
% 2.48/2.64
% 2.48/2.64 formula_list(usable).
% 2.48/2.64 all A (A=A).
% 2.48/2.64 all W0 (aSet0(W0)->$T).
% 2.48/2.64 all W0 (aElement0(W0)->$T).
% 2.48/2.64 all W0 (aSet0(W0)-> (all W1 (aElementOf0(W1,W0)->aElement0(W1)))).
% 2.48/2.64 all W0 (aSet0(W0)-> (isFinite0(W0)->$T)).
% 2.48/2.64 all W0 (W0=slcrc0<->aSet0(W0)& -(exists W1 aElementOf0(W1,W0))).
% 2.48/2.64 isFinite0(slcrc0).
% 2.48/2.64 all W0 (aSet0(W0)-> (isCountable0(W0)->$T)).
% 2.48/2.64 all W0 (aSet0(W0)&isCountable0(W0)-> -isFinite0(W0)).
% 2.48/2.64 all W0 (aSet0(W0)&isCountable0(W0)->W0!=slcrc0).
% 2.48/2.64 all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)<->aSet0(W1)& (all W2 (aElementOf0(W2,W1)->aElementOf0(W2,W0)))))).
% 2.48/2.64 all W0 (aSet0(W0)&isFinite0(W0)-> (all W1 (aSubsetOf0(W1,W0)->isFinite0(W1)))).
% 2.48/2.64 all W0 (aSet0(W0)->aSubsetOf0(W0,W0)).
% 2.48/2.64 all W0 W1 (aSet0(W0)&aSet0(W1)-> (aSubsetOf0(W0,W1)&aSubsetOf0(W1,W0)->W0=W1)).
% 2.48/2.64 all W0 W1 W2 (aSet0(W0)&aSet0(W1)&aSet0(W2)-> (aSubsetOf0(W0,W1)&aSubsetOf0(W1,W2)->aSubsetOf0(W0,W2))).
% 2.48/2.64 all W0 W1 (aSet0(W0)&aElement0(W1)-> (all W2 (W2=sdtpldt0(W0,W1)<->aSet0(W2)& (all W3 (aElementOf0(W3,W2)<->aElement0(W3)& (aElementOf0(W3,W0)|W3=W1)))))).
% 2.48/2.64 all W0 W1 (aSet0(W0)&aElement0(W1)-> (all W2 (W2=sdtmndt0(W0,W1)<->aSet0(W2)& (all W3 (aElementOf0(W3,W2)<->aElement0(W3)&aElementOf0(W3,W0)&W3!=W1))))).
% 2.48/2.64 all W0 (aSet0(W0)-> (all W1 (aElementOf0(W1,W0)->sdtpldt0(sdtmndt0(W0,W1),W1)=W0))).
% 2.48/2.64 all W0 W1 (aElement0(W0)&aSet0(W1)-> (-aElementOf0(W0,W1)->sdtmndt0(sdtpldt0(W1,W0),W0)=W1)).
% 2.48/2.64 all W0 (aElement0(W0)-> (all W1 (aSet0(W1)&isCountable0(W1)->isCountable0(sdtpldt0(W1,W0))))).
% 2.48/2.64 all W0 (aElement0(W0)-> (all W1 (aSet0(W1)&isCountable0(W1)->isCountable0(sdtmndt0(W1,W0))))).
% 2.48/2.64 all W0 (aElement0(W0)-> (all W1 (aSet0(W1)&isFinite0(W1)->isFinite0(sdtpldt0(W1,W0))))).
% 2.48/2.64 all W0 (aElement0(W0)-> (all W1 (aSet0(W1)&isFinite0(W1)->isFinite0(sdtmndt0(W1,W0))))).
% 2.48/2.64 aSet0(szNzAzT0).
% 2.48/2.64 isCountable0(szNzAzT0).
% 2.48/2.64 aElementOf0(sz00,szNzAzT0).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->aElementOf0(szszuzczcdt0(W0),szNzAzT0)&szszuzczcdt0(W0)!=sz00).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (szszuzczcdt0(W0)=szszuzczcdt0(W1)->W0=W1)).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->W0=sz00| (exists W1 (aElementOf0(W1,szNzAzT0)&W0=szszuzczcdt0(W1)))).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->W0!=szszuzczcdt0(W0)).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (sdtlse_qdt0(W0,W1)->$T)).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->sdtlse_qdt0(sz00,W0)).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)-> -sdtlse_qdt0(szszuzczcdt0(W0),sz00)).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (sdtlse_qdt0(W0,W1)<->sdtlse_qdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)))).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->sdtlse_qdt0(W0,szszuzczcdt0(W0))).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->sdtlse_qdt0(W0,W0)).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 2.48/2.64 all W0 W1 W2 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)&aElementOf0(W2,szNzAzT0)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)->sdtlse_qdt0(W0,W1)|sdtlse_qdt0(szszuzczcdt0(W1),W0)).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (iLess0(W0,W1)->$T)).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->iLess0(W0,szszuzczcdt0(W0))).
% 2.48/2.64 all W0 (aSet0(W0)->aElement0(sbrdtbr0(W0))).
% 2.48/2.64 all W0 (aSet0(W0)-> (aElementOf0(sbrdtbr0(W0),szNzAzT0)<->isFinite0(W0))).
% 2.48/2.64 all W0 (aSet0(W0)-> (sbrdtbr0(W0)=sz00<->W0=slcrc0)).
% 2.48/2.64 all W0 (aSet0(W0)&isFinite0(W0)-> (all W1 (aElement0(W1)-> (-aElementOf0(W1,W0)->sbrdtbr0(sdtpldt0(W0,W1))=szszuzczcdt0(sbrdtbr0(W0)))))).
% 2.48/2.64 all W0 (aSet0(W0)-> (all W1 (isFinite0(W0)&aElementOf0(W1,W0)->szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1)))=sbrdtbr0(W0)))).
% 2.48/2.64 all W0 (aSet0(W0)-> (all W1 (isFinite0(W0)&aSubsetOf0(W1,W0)->sdtlse_qdt0(sbrdtbr0(W1),sbrdtbr0(W0))))).
% 2.48/2.64 all W0 W1 (aSet0(W0)&aElementOf0(W1,szNzAzT0)-> (isFinite0(W0)&sdtlse_qdt0(W1,sbrdtbr0(W0))-> (exists W2 (aSubsetOf0(W2,W0)&sbrdtbr0(W2)=W1)))).
% 2.48/2.64 all W0 (aSubsetOf0(W0,szNzAzT0)&W0!=slcrc0-> (all W1 (W1=szmzizndt0(W0)<->aElementOf0(W1,W0)& (all W2 (aElementOf0(W2,W0)->sdtlse_qdt0(W1,W2)))))).
% 2.48/2.64 all W0 (aSubsetOf0(W0,szNzAzT0)&isFinite0(W0)&W0!=slcrc0-> (all W1 (W1=szmzazxdt0(W0)<->aElementOf0(W1,W0)& (all W2 (aElementOf0(W2,W0)->sdtlse_qdt0(W2,W1)))))).
% 2.48/2.64 all W0 W1 (aSubsetOf0(W0,szNzAzT0)&aSubsetOf0(W1,szNzAzT0)&W0!=slcrc0&W1!=slcrc0-> (aElementOf0(szmzizndt0(W0),W1)&aElementOf0(szmzizndt0(W1),W0)->szmzizndt0(W0)=szmzizndt0(W1))).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)-> (all W1 (W1=slbdtrb0(W0)<->aSet0(W1)& (all W2 (aElementOf0(W2,W1)<->aElementOf0(W2,szNzAzT0)&sdtlse_qdt0(szszuzczcdt0(W2),W0)))))).
% 2.48/2.64 all W0 (aElementOf0(W0,szNzAzT0)->isFinite0(slbdtrb0(W0))).
% 2.48/2.64 slbdtrb0(sz00)=slcrc0.
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))<->aElementOf0(W0,slbdtrb0(W1))|W0=W1)).
% 2.48/2.64 all W0 W1 (aElementOf0(W0,szNzAzT0)&aElementOf0(W1,szNzAzT0)-> (sdtlse_qdt0(W0,W1)<->aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)))).
% 2.48/2.64 aSet0(xS).
% 2.48/2.64 all W0 (aElementOf0(W0,xS)->aElementOf0(W0,szNzAzT0)).
% 2.48/2.64 aSubsetOf0(xS,szNzAzT0).
% 2.48/2.64 isFinite0(xS).
% 2.48/2.64 -(-(exists W0 aElementOf0(W0,xS))&xS=slcrc0)->aElementOf0(szmzazxdt0(xS),xS)& (all W0 (aElementOf0(W0,xS)->sdtlse_qdt0(W0,szmzazxdt0(xS))))&aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))& (all W0 (aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))<->aElementOf0(W0,szNzAzT0)&sdtlse_qdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))))& (all W0 (aElementOf0(W0,xS)->aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))))&aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 -(exists W0 (aElementOf0(W0,szNzAzT0)& (aSet0(slbdtrb0(W0))& (all W1 (aElementOf0(W1,slbdtrb0(W0))<->aElementOf0(W1,szNzAzT0)&sdtlse_qdt0(szszuzczcdt0(W1),W0)))-> (all W1 (aElementOf0(W1,xS)->aElementOf0(W1,slbdtrb0(W0))))|aSubsetOf0(xS,slbdtrb0(W0))))).
% 2.48/2.64 end_of_list.
% 2.48/2.64
% 2.48/2.64 -------> usable clausifies to:
% 2.48/2.64
% 2.48/2.64 list(usable).
% 2.48/2.64 0 [] A=A.
% 2.48/2.64 0 [] -aSet0(W0)|$T.
% 2.48/2.64 0 [] -aElement0(W0)|$T.
% 2.48/2.64 0 [] -aSet0(W0)| -aElementOf0(W1,W0)|aElement0(W1).
% 2.48/2.64 0 [] -aSet0(W0)| -isFinite0(W0)|$T.
% 2.48/2.64 0 [] W0!=slcrc0|aSet0(W0).
% 2.48/2.64 0 [] W0!=slcrc0| -aElementOf0(W1,W0).
% 2.48/2.64 0 [] W0=slcrc0| -aSet0(W0)|aElementOf0($f1(W0),W0).
% 2.48/2.64 0 [] isFinite0(slcrc0).
% 2.48/2.64 0 [] -aSet0(W0)| -isCountable0(W0)|$T.
% 2.48/2.64 0 [] -aSet0(W0)| -isCountable0(W0)| -isFinite0(W0).
% 2.48/2.64 0 [] -aSet0(W0)| -isCountable0(W0)|W0!=slcrc0.
% 2.48/2.64 0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aSet0(W1).
% 2.48/2.64 0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aElementOf0(W2,W1)|aElementOf0(W2,W0).
% 2.48/2.64 0 [] -aSet0(W0)|aSubsetOf0(W1,W0)| -aSet0(W1)|aElementOf0($f2(W0,W1),W1).
% 2.48/2.64 0 [] -aSet0(W0)|aSubsetOf0(W1,W0)| -aSet0(W1)| -aElementOf0($f2(W0,W1),W0).
% 2.48/2.64 0 [] -aSet0(W0)| -isFinite0(W0)| -aSubsetOf0(W1,W0)|isFinite0(W1).
% 2.48/2.64 0 [] -aSet0(W0)|aSubsetOf0(W0,W0).
% 2.48/2.64 0 [] -aSet0(W0)| -aSet0(W1)| -aSubsetOf0(W0,W1)| -aSubsetOf0(W1,W0)|W0=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aSet0(W1)| -aSet0(W2)| -aSubsetOf0(W0,W1)| -aSubsetOf0(W1,W2)|aSubsetOf0(W0,W2).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)|aSet0(W2).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)| -aElementOf0(W3,W2)|aElement0(W3).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)| -aElementOf0(W3,W2)|aElementOf0(W3,W0)|W3=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)|aElementOf0(W3,W2)| -aElement0(W3)| -aElementOf0(W3,W0).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)|aElementOf0(W3,W2)| -aElement0(W3)|W3!=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)|aElementOf0($f3(W0,W1,W2),W2)|aElement0($f3(W0,W1,W2)).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)|aElementOf0($f3(W0,W1,W2),W2)|aElementOf0($f3(W0,W1,W2),W0)|$f3(W0,W1,W2)=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)| -aElementOf0($f3(W0,W1,W2),W2)| -aElement0($f3(W0,W1,W2))| -aElementOf0($f3(W0,W1,W2),W0).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)| -aElementOf0($f3(W0,W1,W2),W2)| -aElement0($f3(W0,W1,W2))|$f3(W0,W1,W2)!=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)|aSet0(W2).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)| -aElementOf0(W3,W2)|aElement0(W3).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)| -aElementOf0(W3,W2)|aElementOf0(W3,W0).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)| -aElementOf0(W3,W2)|W3!=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)|aElementOf0(W3,W2)| -aElement0(W3)| -aElementOf0(W3,W0)|W3=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)|aElementOf0($f4(W0,W1,W2),W2)|aElement0($f4(W0,W1,W2)).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)|aElementOf0($f4(W0,W1,W2),W2)|aElementOf0($f4(W0,W1,W2),W0).
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)|aElementOf0($f4(W0,W1,W2),W2)|$f4(W0,W1,W2)!=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)| -aElementOf0($f4(W0,W1,W2),W2)| -aElement0($f4(W0,W1,W2))| -aElementOf0($f4(W0,W1,W2),W0)|$f4(W0,W1,W2)=W1.
% 2.48/2.64 0 [] -aSet0(W0)| -aElementOf0(W1,W0)|sdtpldt0(sdtmndt0(W0,W1),W1)=W0.
% 2.48/2.64 0 [] -aElement0(W0)| -aSet0(W1)|aElementOf0(W0,W1)|sdtmndt0(sdtpldt0(W1,W0),W0)=W1.
% 2.48/2.64 0 [] -aElement0(W0)| -aSet0(W1)| -isCountable0(W1)|isCountable0(sdtpldt0(W1,W0)).
% 2.48/2.64 0 [] -aElement0(W0)| -aSet0(W1)| -isCountable0(W1)|isCountable0(sdtmndt0(W1,W0)).
% 2.48/2.64 0 [] -aElement0(W0)| -aSet0(W1)| -isFinite0(W1)|isFinite0(sdtpldt0(W1,W0)).
% 2.48/2.64 0 [] -aElement0(W0)| -aSet0(W1)| -isFinite0(W1)|isFinite0(sdtmndt0(W1,W0)).
% 2.48/2.64 0 [] aSet0(szNzAzT0).
% 2.48/2.64 0 [] isCountable0(szNzAzT0).
% 2.48/2.64 0 [] aElementOf0(sz00,szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|aElementOf0(szszuzczcdt0(W0),szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|szszuzczcdt0(W0)!=sz00.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)|szszuzczcdt0(W0)!=szszuzczcdt0(W1)|W0=W1.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W0=sz00|aElementOf0($f5(W0),szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W0=sz00|W0=szszuzczcdt0($f5(W0)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W0!=szszuzczcdt0(W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -sdtlse_qdt0(W0,W1)|$T.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|sdtlse_qdt0(sz00,W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(W0),sz00).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -sdtlse_qdt0(W0,W1)|sdtlse_qdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)|sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|sdtlse_qdt0(W0,szszuzczcdt0(W0)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|sdtlse_qdt0(W0,W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -aElementOf0(W2,szNzAzT0)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(szszuzczcdt0(W1),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -iLess0(W0,W1)|$T.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|iLess0(W0,szszuzczcdt0(W0)).
% 2.48/2.64 0 [] -aSet0(W0)|aElement0(sbrdtbr0(W0)).
% 2.48/2.64 0 [] -aSet0(W0)| -aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0).
% 2.48/2.64 0 [] -aSet0(W0)|aElementOf0(sbrdtbr0(W0),szNzAzT0)| -isFinite0(W0).
% 2.48/2.64 0 [] -aSet0(W0)|sbrdtbr0(W0)!=sz00|W0=slcrc0.
% 2.48/2.64 0 [] -aSet0(W0)|sbrdtbr0(W0)=sz00|W0!=slcrc0.
% 2.48/2.64 0 [] -aSet0(W0)| -isFinite0(W0)| -aElement0(W1)|aElementOf0(W1,W0)|sbrdtbr0(sdtpldt0(W0,W1))=szszuzczcdt0(sbrdtbr0(W0)).
% 2.48/2.64 0 [] -aSet0(W0)| -isFinite0(W0)| -aElementOf0(W1,W0)|szszuzczcdt0(sbrdtbr0(sdtmndt0(W0,W1)))=sbrdtbr0(W0).
% 2.48/2.64 0 [] -aSet0(W0)| -isFinite0(W0)| -aSubsetOf0(W1,W0)|sdtlse_qdt0(sbrdtbr0(W1),sbrdtbr0(W0)).
% 2.48/2.64 0 [] -aSet0(W0)| -aElementOf0(W1,szNzAzT0)| -isFinite0(W0)| -sdtlse_qdt0(W1,sbrdtbr0(W0))|aSubsetOf0($f6(W0,W1),W0).
% 2.48/2.64 0 [] -aSet0(W0)| -aElementOf0(W1,szNzAzT0)| -isFinite0(W0)| -sdtlse_qdt0(W1,sbrdtbr0(W0))|sbrdtbr0($f6(W0,W1))=W1.
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)|W0=slcrc0|W1!=szmzizndt0(W0)|aElementOf0(W1,W0).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)|W0=slcrc0|W1!=szmzizndt0(W0)| -aElementOf0(W2,W0)|sdtlse_qdt0(W1,W2).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)|W0=slcrc0|W1=szmzizndt0(W0)| -aElementOf0(W1,W0)|aElementOf0($f7(W0,W1),W0).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)|W0=slcrc0|W1=szmzizndt0(W0)| -aElementOf0(W1,W0)| -sdtlse_qdt0(W1,$f7(W0,W1)).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)| -isFinite0(W0)|W0=slcrc0|W1!=szmzazxdt0(W0)|aElementOf0(W1,W0).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)| -isFinite0(W0)|W0=slcrc0|W1!=szmzazxdt0(W0)| -aElementOf0(W2,W0)|sdtlse_qdt0(W2,W1).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)| -isFinite0(W0)|W0=slcrc0|W1=szmzazxdt0(W0)| -aElementOf0(W1,W0)|aElementOf0($f8(W0,W1),W0).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)| -isFinite0(W0)|W0=slcrc0|W1=szmzazxdt0(W0)| -aElementOf0(W1,W0)| -sdtlse_qdt0($f8(W0,W1),W1).
% 2.48/2.64 0 [] -aSubsetOf0(W0,szNzAzT0)| -aSubsetOf0(W1,szNzAzT0)|W0=slcrc0|W1=slcrc0| -aElementOf0(szmzizndt0(W0),W1)| -aElementOf0(szmzizndt0(W1),W0)|szmzizndt0(W0)=szmzizndt0(W1).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1!=slbdtrb0(W0)|aSet0(W1).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1!=slbdtrb0(W0)| -aElementOf0(W2,W1)|aElementOf0(W2,szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1!=slbdtrb0(W0)| -aElementOf0(W2,W1)|sdtlse_qdt0(szszuzczcdt0(W2),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1!=slbdtrb0(W0)|aElementOf0(W2,W1)| -aElementOf0(W2,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(W2),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1=slbdtrb0(W0)| -aSet0(W1)|aElementOf0($f9(W0,W1),W1)|aElementOf0($f9(W0,W1),szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1=slbdtrb0(W0)| -aSet0(W1)|aElementOf0($f9(W0,W1),W1)|sdtlse_qdt0(szszuzczcdt0($f9(W0,W1)),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|W1=slbdtrb0(W0)| -aSet0(W1)| -aElementOf0($f9(W0,W1),W1)| -aElementOf0($f9(W0,W1),szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0($f9(W0,W1)),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|isFinite0(slbdtrb0(W0)).
% 2.48/2.64 0 [] slbdtrb0(sz00)=slcrc0.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))|aElementOf0(W0,slbdtrb0(W1))|W0=W1.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)|aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))| -aElementOf0(W0,slbdtrb0(W1)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)|aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))|W0!=W1.
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)| -sdtlse_qdt0(W0,W1)|aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,szNzAzT0)|sdtlse_qdt0(W0,W1)| -aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)).
% 2.48/2.64 0 [] aSet0(xS).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0).
% 2.48/2.64 0 [] aSubsetOf0(xS,szNzAzT0).
% 2.48/2.64 0 [] isFinite0(xS).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)|aElementOf0(szmzazxdt0(xS),xS).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)| -aElementOf0(X1,xS)|sdtlse_qdt0(X1,szmzazxdt0(xS)).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)|aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)| -aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|aElementOf0(X2,szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)| -aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|sdtlse_qdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)|aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))| -aElementOf0(X2,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)| -aElementOf0(X3,xS)|aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 0 [] -aElementOf0(W0,xS)|aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 0 [] xS=slcrc0|aElementOf0(szmzazxdt0(xS),xS).
% 2.48/2.64 0 [] xS=slcrc0| -aElementOf0(X1,xS)|sdtlse_qdt0(X1,szmzazxdt0(xS)).
% 2.48/2.64 0 [] xS=slcrc0|aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 0 [] xS=slcrc0| -aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|aElementOf0(X2,szNzAzT0).
% 2.48/2.64 0 [] xS=slcrc0| -aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|sdtlse_qdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))).
% 2.48/2.64 0 [] xS=slcrc0|aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))| -aElementOf0(X2,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))).
% 2.48/2.64 0 [] xS=slcrc0| -aElementOf0(X3,xS)|aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 0 [] xS=slcrc0|aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|aSet0(slbdtrb0(W0)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,slbdtrb0(W0))|aElementOf0(W1,szNzAzT0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0(W1,slbdtrb0(W0))|sdtlse_qdt0(szszuzczcdt0(W1),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|aElementOf0(W1,slbdtrb0(W0))| -aElementOf0(W1,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(W1),W0).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)|aElementOf0($f10(W0),xS).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aElementOf0($f10(W0),slbdtrb0(W0)).
% 2.48/2.64 0 [] -aElementOf0(W0,szNzAzT0)| -aSubsetOf0(xS,slbdtrb0(W0)).
% 2.48/2.64 end_of_list.
% 2.48/2.64
% 2.48/2.64 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.48/2.64
% 2.48/2.64 This ia a non-Horn set with equality. The strategy will be
% 2.48/2.64 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.48/2.64 deletion, with positive clauses in sos and nonpositive
% 2.48/2.64 clauses in usable.
% 2.48/2.64
% 2.48/2.64 dependent: set(knuth_bendix).
% 2.48/2.64 dependent: set(anl_eq).
% 2.48/2.64 dependent: set(para_from).
% 2.48/2.64 dependent: set(para_into).
% 2.48/2.64 dependent: clear(para_from_right).
% 2.48/2.64 dependent: clear(para_into_right).
% 2.48/2.64 dependent: set(para_from_vars).
% 2.48/2.64 dependent: set(eq_units_both_ways).
% 2.48/2.64 dependent: set(dynamic_demod_all).
% 2.48/2.64 dependent: set(dynamic_demod).
% 2.48/2.64 dependent: set(order_eq).
% 2.48/2.64 dependent: set(back_demod).
% 2.48/2.64 dependent: set(lrpo).
% 2.48/2.64 dependent: set(hyper_res).
% 2.48/2.64 dependent: set(unit_deletion).
% 2.48/2.64 dependent: set(factor).
% 2.48/2.64
% 2.48/2.64 ------------> process usable:
% 2.48/2.64 ** KEPT (pick-wt=7): 1 [] -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 2.48/2.64 ** KEPT (pick-wt=5): 2 [] A!=slcrc0|aSet0(A).
% 2.48/2.64 ** KEPT (pick-wt=6): 3 [] A!=slcrc0| -aElementOf0(B,A).
% 2.48/2.64 ** KEPT (pick-wt=9): 4 [] A=slcrc0| -aSet0(A)|aElementOf0($f1(A),A).
% 2.48/2.64 ** KEPT (pick-wt=6): 5 [] -aSet0(A)| -isCountable0(A)| -isFinite0(A).
% 2.48/2.64 ** KEPT (pick-wt=7): 6 [] -aSet0(A)| -isCountable0(A)|A!=slcrc0.
% 2.48/2.64 ** KEPT (pick-wt=7): 7 [] -aSet0(A)| -aSubsetOf0(B,A)|aSet0(B).
% 2.48/2.64 ** KEPT (pick-wt=11): 8 [] -aSet0(A)| -aSubsetOf0(B,A)| -aElementOf0(C,B)|aElementOf0(C,A).
% 2.48/2.64 ** KEPT (pick-wt=12): 9 [] -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)|aElementOf0($f2(A,B),B).
% 2.48/2.64 ** KEPT (pick-wt=12): 10 [] -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)| -aElementOf0($f2(A,B),A).
% 2.48/2.64 ** KEPT (pick-wt=9): 11 [] -aSet0(A)| -isFinite0(A)| -aSubsetOf0(B,A)|isFinite0(B).
% 2.48/2.64 ** KEPT (pick-wt=5): 12 [] -aSet0(A)|aSubsetOf0(A,A).
% 2.48/2.64 ** KEPT (pick-wt=13): 13 [] -aSet0(A)| -aSet0(B)| -aSubsetOf0(A,B)| -aSubsetOf0(B,A)|A=B.
% 2.48/2.64 ** KEPT (pick-wt=15): 14 [] -aSet0(A)| -aSet0(B)| -aSet0(C)| -aSubsetOf0(A,B)| -aSubsetOf0(B,C)|aSubsetOf0(A,C).
% 2.48/2.64 ** KEPT (pick-wt=11): 15 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)|aSet0(C).
% 2.48/2.64 ** KEPT (pick-wt=14): 16 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)| -aElementOf0(D,C)|aElement0(D).
% 2.48/2.64 ** KEPT (pick-wt=18): 17 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)| -aElementOf0(D,C)|aElementOf0(D,A)|D=B.
% 2.48/2.64 ** KEPT (pick-wt=17): 18 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)|aElementOf0(D,C)| -aElement0(D)| -aElementOf0(D,A).
% 2.48/2.64 ** KEPT (pick-wt=17): 19 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)|aElementOf0(D,C)| -aElement0(D)|D!=B.
% 2.48/2.64 ** KEPT (pick-wt=22): 20 [] -aSet0(A)| -aElement0(B)|C=sdtpldt0(A,B)| -aSet0(C)|aElementOf0($f3(A,B,C),C)|aElement0($f3(A,B,C)).
% 2.48/2.64 ** KEPT (pick-wt=29): 21 [] -aSet0(A)| -aElement0(B)|C=sdtpldt0(A,B)| -aSet0(C)|aElementOf0($f3(A,B,C),C)|aElementOf0($f3(A,B,C),A)|$f3(A,B,C)=B.
% 2.48/2.64 ** KEPT (pick-wt=28): 22 [] -aSet0(A)| -aElement0(B)|C=sdtpldt0(A,B)| -aSet0(C)| -aElementOf0($f3(A,B,C),C)| -aElement0($f3(A,B,C))| -aElementOf0($f3(A,B,C),A).
% 2.48/2.64 ** KEPT (pick-wt=28): 23 [] -aSet0(A)| -aElement0(B)|C=sdtpldt0(A,B)| -aSet0(C)| -aElementOf0($f3(A,B,C),C)| -aElement0($f3(A,B,C))|$f3(A,B,C)!=B.
% 2.48/2.64 ** KEPT (pick-wt=11): 24 [] -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)|aSet0(C).
% 2.48/2.64 ** KEPT (pick-wt=14): 25 [] -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)| -aElementOf0(D,C)|aElement0(D).
% 2.48/2.64 ** KEPT (pick-wt=15): 26 [] -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)| -aElementOf0(D,C)|aElementOf0(D,A).
% 2.48/2.64 ** KEPT (pick-wt=15): 27 [] -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)| -aElementOf0(D,C)|D!=B.
% 2.48/2.64 ** KEPT (pick-wt=20): 28 [] -aSet0(A)| -aElement0(B)|C!=sdtmndt0(A,B)|aElementOf0(D,C)| -aElement0(D)| -aElementOf0(D,A)|D=B.
% 2.48/2.64 ** KEPT (pick-wt=22): 29 [] -aSet0(A)| -aElement0(B)|C=sdtmndt0(A,B)| -aSet0(C)|aElementOf0($f4(A,B,C),C)|aElement0($f4(A,B,C)).
% 2.48/2.65 ** KEPT (pick-wt=23): 30 [] -aSet0(A)| -aElement0(B)|C=sdtmndt0(A,B)| -aSet0(C)|aElementOf0($f4(A,B,C),C)|aElementOf0($f4(A,B,C),A).
% 2.48/2.65 ** KEPT (pick-wt=23): 31 [] -aSet0(A)| -aElement0(B)|C=sdtmndt0(A,B)| -aSet0(C)|aElementOf0($f4(A,B,C),C)|$f4(A,B,C)!=B.
% 2.48/2.65 ** KEPT (pick-wt=34): 32 [] -aSet0(A)| -aElement0(B)|C=sdtmndt0(A,B)| -aSet0(C)| -aElementOf0($f4(A,B,C),C)| -aElement0($f4(A,B,C))| -aElementOf0($f4(A,B,C),A)|$f4(A,B,C)=B.
% 2.48/2.65 ** KEPT (pick-wt=12): 33 [] -aSet0(A)| -aElementOf0(B,A)|sdtpldt0(sdtmndt0(A,B),B)=A.
% 2.48/2.65 ** KEPT (pick-wt=14): 34 [] -aElement0(A)| -aSet0(B)|aElementOf0(A,B)|sdtmndt0(sdtpldt0(B,A),A)=B.
% 2.48/2.65 ** KEPT (pick-wt=10): 35 [] -aElement0(A)| -aSet0(B)| -isCountable0(B)|isCountable0(sdtpldt0(B,A)).
% 2.48/2.65 ** KEPT (pick-wt=10): 36 [] -aElement0(A)| -aSet0(B)| -isCountable0(B)|isCountable0(sdtmndt0(B,A)).
% 2.48/2.65 ** KEPT (pick-wt=10): 37 [] -aElement0(A)| -aSet0(B)| -isFinite0(B)|isFinite0(sdtpldt0(B,A)).
% 2.48/2.65 ** KEPT (pick-wt=10): 38 [] -aElement0(A)| -aSet0(B)| -isFinite0(B)|isFinite0(sdtmndt0(B,A)).
% 2.48/2.65 ** KEPT (pick-wt=7): 39 [] -aElementOf0(A,szNzAzT0)|aElementOf0(szszuzczcdt0(A),szNzAzT0).
% 2.48/2.65 ** KEPT (pick-wt=7): 40 [] -aElementOf0(A,szNzAzT0)|szszuzczcdt0(A)!=sz00.
% 2.48/2.65 ** KEPT (pick-wt=14): 41 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)|szszuzczcdt0(A)!=szszuzczcdt0(B)|A=B.
% 2.48/2.65 ** KEPT (pick-wt=10): 42 [] -aElementOf0(A,szNzAzT0)|A=sz00|aElementOf0($f5(A),szNzAzT0).
% 2.48/2.65 ** KEPT (pick-wt=11): 44 [copy,43,flip.3] -aElementOf0(A,szNzAzT0)|A=sz00|szszuzczcdt0($f5(A))=A.
% 2.48/2.65 ** KEPT (pick-wt=7): 46 [copy,45,flip.2] -aElementOf0(A,szNzAzT0)|szszuzczcdt0(A)!=A.
% 2.48/2.65 ** KEPT (pick-wt=6): 47 [] -aElementOf0(A,szNzAzT0)|sdtlse_qdt0(sz00,A).
% 2.48/2.65 ** KEPT (pick-wt=7): 48 [] -aElementOf0(A,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(A),sz00).
% 2.48/2.65 ** KEPT (pick-wt=14): 49 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)| -sdtlse_qdt0(A,B)|sdtlse_qdt0(szszuzczcdt0(A),szszuzczcdt0(B)).
% 2.48/2.65 ** KEPT (pick-wt=14): 50 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)|sdtlse_qdt0(A,B)| -sdtlse_qdt0(szszuzczcdt0(A),szszuzczcdt0(B)).
% 2.48/2.65 ** KEPT (pick-wt=7): 51 [] -aElementOf0(A,szNzAzT0)|sdtlse_qdt0(A,szszuzczcdt0(A)).
% 2.48/2.65 ** KEPT (pick-wt=6): 52 [] -aElementOf0(A,szNzAzT0)|sdtlse_qdt0(A,A).
% 2.48/2.65 ** KEPT (pick-wt=15): 53 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 2.48/2.65 ** KEPT (pick-wt=18): 54 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)| -aElementOf0(C,szNzAzT0)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 2.48/2.65 ** KEPT (pick-wt=13): 55 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)|sdtlse_qdt0(A,B)|sdtlse_qdt0(szszuzczcdt0(B),A).
% 2.48/2.65 ** KEPT (pick-wt=7): 56 [] -aElementOf0(A,szNzAzT0)|iLess0(A,szszuzczcdt0(A)).
% 2.48/2.65 ** KEPT (pick-wt=5): 57 [] -aSet0(A)|aElement0(sbrdtbr0(A)).
% 2.48/2.65 ** KEPT (pick-wt=8): 58 [] -aSet0(A)| -aElementOf0(sbrdtbr0(A),szNzAzT0)|isFinite0(A).
% 2.48/2.65 ** KEPT (pick-wt=8): 59 [] -aSet0(A)|aElementOf0(sbrdtbr0(A),szNzAzT0)| -isFinite0(A).
% 2.48/2.65 ** KEPT (pick-wt=9): 60 [] -aSet0(A)|sbrdtbr0(A)!=sz00|A=slcrc0.
% 2.48/2.65 ** KEPT (pick-wt=9): 61 [] -aSet0(A)|sbrdtbr0(A)=sz00|A!=slcrc0.
% 2.48/2.65 ** KEPT (pick-wt=17): 62 [] -aSet0(A)| -isFinite0(A)| -aElement0(B)|aElementOf0(B,A)|sbrdtbr0(sdtpldt0(A,B))=szszuzczcdt0(sbrdtbr0(A)).
% 2.48/2.65 ** KEPT (pick-wt=15): 63 [] -aSet0(A)| -isFinite0(A)| -aElementOf0(B,A)|szszuzczcdt0(sbrdtbr0(sdtmndt0(A,B)))=sbrdtbr0(A).
% 2.48/2.65 ** KEPT (pick-wt=12): 64 [] -aSet0(A)| -isFinite0(A)| -aSubsetOf0(B,A)|sdtlse_qdt0(sbrdtbr0(B),sbrdtbr0(A)).
% 2.48/2.65 ** KEPT (pick-wt=16): 65 [] -aSet0(A)| -aElementOf0(B,szNzAzT0)| -isFinite0(A)| -sdtlse_qdt0(B,sbrdtbr0(A))|aSubsetOf0($f6(A,B),A).
% 2.48/2.65 ** KEPT (pick-wt=17): 66 [] -aSet0(A)| -aElementOf0(B,szNzAzT0)| -isFinite0(A)| -sdtlse_qdt0(B,sbrdtbr0(A))|sbrdtbr0($f6(A,B))=B.
% 2.48/2.65 ** KEPT (pick-wt=13): 67 [] -aSubsetOf0(A,szNzAzT0)|A=slcrc0|B!=szmzizndt0(A)|aElementOf0(B,A).
% 2.48/2.65 ** KEPT (pick-wt=16): 68 [] -aSubsetOf0(A,szNzAzT0)|A=slcrc0|B!=szmzizndt0(A)| -aElementOf0(C,A)|sdtlse_qdt0(B,C).
% 2.48/2.65 ** KEPT (pick-wt=18): 69 [] -aSubsetOf0(A,szNzAzT0)|A=slcrc0|B=szmzizndt0(A)| -aElementOf0(B,A)|aElementOf0($f7(A,B),A).
% 2.48/2.65 ** KEPT (pick-wt=18): 70 [] -aSubsetOf0(A,szNzAzT0)|A=slcrc0|B=szmzizndt0(A)| -aElementOf0(B,A)| -sdtlse_qdt0(B,$f7(A,B)).
% 2.52/2.65 ** KEPT (pick-wt=15): 71 [] -aSubsetOf0(A,szNzAzT0)| -isFinite0(A)|A=slcrc0|B!=szmzazxdt0(A)|aElementOf0(B,A).
% 2.52/2.65 ** KEPT (pick-wt=18): 72 [] -aSubsetOf0(A,szNzAzT0)| -isFinite0(A)|A=slcrc0|B!=szmzazxdt0(A)| -aElementOf0(C,A)|sdtlse_qdt0(C,B).
% 2.52/2.65 ** KEPT (pick-wt=20): 73 [] -aSubsetOf0(A,szNzAzT0)| -isFinite0(A)|A=slcrc0|B=szmzazxdt0(A)| -aElementOf0(B,A)|aElementOf0($f8(A,B),A).
% 2.52/2.65 ** KEPT (pick-wt=20): 74 [] -aSubsetOf0(A,szNzAzT0)| -isFinite0(A)|A=slcrc0|B=szmzazxdt0(A)| -aElementOf0(B,A)| -sdtlse_qdt0($f8(A,B),B).
% 2.52/2.65 ** KEPT (pick-wt=25): 75 [] -aSubsetOf0(A,szNzAzT0)| -aSubsetOf0(B,szNzAzT0)|A=slcrc0|B=slcrc0| -aElementOf0(szmzizndt0(A),B)| -aElementOf0(szmzizndt0(B),A)|szmzizndt0(A)=szmzizndt0(B).
% 2.52/2.65 ** KEPT (pick-wt=9): 76 [] -aElementOf0(A,szNzAzT0)|B!=slbdtrb0(A)|aSet0(B).
% 2.52/2.65 ** KEPT (pick-wt=13): 77 [] -aElementOf0(A,szNzAzT0)|B!=slbdtrb0(A)| -aElementOf0(C,B)|aElementOf0(C,szNzAzT0).
% 2.52/2.65 ** KEPT (pick-wt=14): 78 [] -aElementOf0(A,szNzAzT0)|B!=slbdtrb0(A)| -aElementOf0(C,B)|sdtlse_qdt0(szszuzczcdt0(C),A).
% 2.52/2.65 ** KEPT (pick-wt=17): 79 [] -aElementOf0(A,szNzAzT0)|B!=slbdtrb0(A)|aElementOf0(C,B)| -aElementOf0(C,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(C),A).
% 2.52/2.65 ** KEPT (pick-wt=19): 80 [] -aElementOf0(A,szNzAzT0)|B=slbdtrb0(A)| -aSet0(B)|aElementOf0($f9(A,B),B)|aElementOf0($f9(A,B),szNzAzT0).
% 2.52/2.65 ** KEPT (pick-wt=20): 81 [] -aElementOf0(A,szNzAzT0)|B=slbdtrb0(A)| -aSet0(B)|aElementOf0($f9(A,B),B)|sdtlse_qdt0(szszuzczcdt0($f9(A,B)),A).
% 2.52/2.65 ** KEPT (pick-wt=25): 82 [] -aElementOf0(A,szNzAzT0)|B=slbdtrb0(A)| -aSet0(B)| -aElementOf0($f9(A,B),B)| -aElementOf0($f9(A,B),szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0($f9(A,B)),A).
% 2.52/2.65 ** KEPT (pick-wt=6): 83 [] -aElementOf0(A,szNzAzT0)|isFinite0(slbdtrb0(A)).
% 2.52/2.65 ** KEPT (pick-wt=18): 84 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)| -aElementOf0(A,slbdtrb0(szszuzczcdt0(B)))|aElementOf0(A,slbdtrb0(B))|A=B.
% 2.52/2.65 ** KEPT (pick-wt=15): 85 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)|aElementOf0(A,slbdtrb0(szszuzczcdt0(B)))| -aElementOf0(A,slbdtrb0(B)).
% 2.52/2.65 ** KEPT (pick-wt=14): 86 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)|aElementOf0(A,slbdtrb0(szszuzczcdt0(B)))|A!=B.
% 2.52/2.65 ** KEPT (pick-wt=14): 87 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)| -sdtlse_qdt0(A,B)|aSubsetOf0(slbdtrb0(A),slbdtrb0(B)).
% 2.52/2.65 ** KEPT (pick-wt=14): 88 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,szNzAzT0)|sdtlse_qdt0(A,B)| -aSubsetOf0(slbdtrb0(A),slbdtrb0(B)).
% 2.52/2.65 ** KEPT (pick-wt=6): 89 [] -aElementOf0(A,xS)|aElementOf0(A,szNzAzT0).
% 2.52/2.65 ** KEPT (pick-wt=7): 90 [] -aElementOf0(A,xS)|aElementOf0(szmzazxdt0(xS),xS).
% 2.52/2.65 ** KEPT (pick-wt=7): 92 [copy,91,factor_simp] -aElementOf0(A,xS)|sdtlse_qdt0(A,szmzazxdt0(xS)).
% 2.52/2.65 ** KEPT (pick-wt=8): 93 [] -aElementOf0(A,xS)|aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.52/2.65 ** KEPT (pick-wt=12): 94 [] -aElementOf0(A,xS)| -aElementOf0(B,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|aElementOf0(B,szNzAzT0).
% 2.52/2.65 ** KEPT (pick-wt=15): 95 [] -aElementOf0(A,xS)| -aElementOf0(B,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|sdtlse_qdt0(szszuzczcdt0(B),szszuzczcdt0(szmzazxdt0(xS))).
% 2.52/2.65 ** KEPT (pick-wt=18): 96 [] -aElementOf0(A,xS)|aElementOf0(B,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))| -aElementOf0(B,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(B),szszuzczcdt0(szmzazxdt0(xS))).
% 2.52/2.65 ** KEPT (pick-wt=9): 98 [copy,97,factor_simp] -aElementOf0(A,xS)|aElementOf0(A,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.52/2.65 ** KEPT (pick-wt=9): 99 [] -aElementOf0(A,xS)|aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 2.52/2.65 Following clause subsumed by 92 during input processing: 0 [] xS=slcrc0| -aElementOf0(A,xS)|sdtlse_qdt0(A,szmzazxdt0(xS)).
% 2.52/2.65 ** KEPT (pick-wt=12): 100 [] xS=slcrc0| -aElementOf0(A,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|aElementOf0(A,szNzAzT0).
% 2.52/2.65 ** KEPT (pick-wt=15): 101 [] xS=slcrc0| -aElementOf0(A,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))|sdtlse_qdt0(szszuzczcdt0(A),szszuzczcdt0(szmzazxdt0(xS))).
% 2.52/2.65 ** KEPT (pick-wt=18): 102 [] xS=slcrc0|aElementOf0(A,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))| -aElementOf0(A,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(A),szszuzczcdt0(szmzazxdt0(xS))).
% 2.52/2.65 Following clause subsumed by 98 during input processing: 0 [] xS=slcrc0| -aElementOf0(A,xS)|aElementOf0(A,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 26.28/26.43 ** KEPT (pick-wt=6): 103 [] -aElementOf0(A,szNzAzT0)|aSet0(slbdtrb0(A)).
% 26.28/26.43 ** KEPT (pick-wt=10): 104 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,slbdtrb0(A))|aElementOf0(B,szNzAzT0).
% 26.28/26.43 ** KEPT (pick-wt=11): 105 [] -aElementOf0(A,szNzAzT0)| -aElementOf0(B,slbdtrb0(A))|sdtlse_qdt0(szszuzczcdt0(B),A).
% 26.28/26.43 ** KEPT (pick-wt=14): 106 [] -aElementOf0(A,szNzAzT0)|aElementOf0(B,slbdtrb0(A))| -aElementOf0(B,szNzAzT0)| -sdtlse_qdt0(szszuzczcdt0(B),A).
% 26.28/26.43 ** KEPT (pick-wt=7): 107 [] -aElementOf0(A,szNzAzT0)|aElementOf0($f10(A),xS).
% 26.28/26.43 ** KEPT (pick-wt=8): 108 [] -aElementOf0(A,szNzAzT0)| -aElementOf0($f10(A),slbdtrb0(A)).
% 26.28/26.43 ** KEPT (pick-wt=7): 109 [] -aElementOf0(A,szNzAzT0)| -aSubsetOf0(xS,slbdtrb0(A)).
% 26.28/26.43 118 back subsumes 117.
% 26.28/26.43
% 26.28/26.43 ------------> process sos:
% 26.28/26.43 ** KEPT (pick-wt=3): 133 [] A=A.
% 26.28/26.43 ** KEPT (pick-wt=2): 134 [] isFinite0(slcrc0).
% 26.28/26.43 ** KEPT (pick-wt=2): 135 [] aSet0(szNzAzT0).
% 26.28/26.43 ** KEPT (pick-wt=2): 136 [] isCountable0(szNzAzT0).
% 26.28/26.43 ** KEPT (pick-wt=3): 137 [] aElementOf0(sz00,szNzAzT0).
% 26.28/26.43 ** KEPT (pick-wt=4): 138 [] slbdtrb0(sz00)=slcrc0.
% 26.28/26.43 ---> New Demodulator: 139 [new_demod,138] slbdtrb0(sz00)=slcrc0.
% 26.28/26.43 ** KEPT (pick-wt=2): 140 [] aSet0(xS).
% 26.28/26.43 ** KEPT (pick-wt=3): 141 [] aSubsetOf0(xS,szNzAzT0).
% 26.28/26.43 ** KEPT (pick-wt=2): 142 [] isFinite0(xS).
% 26.28/26.43 ** KEPT (pick-wt=7): 143 [] xS=slcrc0|aElementOf0(szmzazxdt0(xS),xS).
% 26.28/26.43 ** KEPT (pick-wt=8): 144 [] xS=slcrc0|aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 26.28/26.43 ** KEPT (pick-wt=9): 145 [] xS=slcrc0|aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))).
% 26.28/26.43 Following clause subsumed by 133 during input processing: 0 [copy,133,flip.1] A=A.
% 26.28/26.43 133 back subsumes 128.
% 26.28/26.43 133 back subsumes 123.
% 26.28/26.43 133 back subsumes 122.
% 26.28/26.43 133 back subsumes 120.
% 26.28/26.43 133 back subsumes 116.
% 26.28/26.43 133 back subsumes 110.
% 26.28/26.43 >>>> Starting back demodulation with 139.
% 26.28/26.43
% 26.28/26.43 ======= end of input processing =======
% 26.28/26.43
% 26.28/26.43 =========== start of search ===========
% 26.28/26.43
% 26.28/26.43
% 26.28/26.43 Resetting weight limit to 7.
% 26.28/26.43
% 26.28/26.43
% 26.28/26.43 Resetting weight limit to 7.
% 26.28/26.43
% 26.28/26.43 sos_size=1144
% 26.28/26.43
% 26.28/26.43
% 26.28/26.43 Resetting weight limit to 5.
% 26.28/26.43
% 26.28/26.43
% 26.28/26.43 Resetting weight limit to 5.
% 26.28/26.43
% 26.28/26.43 sos_size=1241
% 26.28/26.43
% 26.28/26.43 -- HEY sandbox, WE HAVE A PROOF!! --
% 26.28/26.43
% 26.28/26.43 -----> EMPTY CLAUSE at 23.79 sec ----> 1647 [hyper,1375,109,1554] $F.
% 26.28/26.43
% 26.28/26.43 Length of proof is 7. Level of proof is 4.
% 26.28/26.43
% 26.28/26.43 ---------------- PROOF ----------------
% 26.28/26.43 % SZS status Theorem
% 26.28/26.43 % SZS output start Refutation
% See solution above
% 26.28/26.43 ------------ end of proof -------------
% 26.28/26.43
% 26.28/26.43
% 26.28/26.43 Search stopped by max_proofs option.
% 26.28/26.43
% 26.28/26.43
% 26.28/26.43 Search stopped by max_proofs option.
% 26.28/26.43
% 26.28/26.43 ============ end of search ============
% 26.28/26.43
% 26.28/26.43 -------------- statistics -------------
% 26.28/26.43 clauses given 332
% 26.28/26.43 clauses generated 825721
% 26.28/26.43 clauses kept 1638
% 26.28/26.43 clauses forward subsumed 967
% 26.28/26.43 clauses back subsumed 110
% 26.28/26.43 Kbytes malloced 5859
% 26.28/26.43
% 26.28/26.43 ----------- times (seconds) -----------
% 26.28/26.43 user CPU time 23.79 (0 hr, 0 min, 23 sec)
% 26.28/26.43 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 26.28/26.43 wall-clock time 26 (0 hr, 0 min, 26 sec)
% 26.28/26.43
% 26.28/26.43 That finishes the proof of the theorem.
% 26.28/26.43
% 26.28/26.43 Process 28971 finished Wed Jul 27 09:56:51 2022
% 26.28/26.43 Otter interrupted
% 26.28/26.43 PROOF FOUND
%------------------------------------------------------------------------------