TSTP Solution File: NUM461+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM461+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:08:26 EDT 2022
% Result : Timeout 299.81s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM461+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 09:42:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.90/2.10 ----- Otter 3.3f, August 2004 -----
% 1.90/2.10 The process was started by sandbox on n019.cluster.edu,
% 1.90/2.10 Wed Jul 27 09:42:22 2022
% 1.90/2.10 The command was "./otter". The process ID is 30356.
% 1.90/2.10
% 1.90/2.10 set(prolog_style_variables).
% 1.90/2.10 set(auto).
% 1.90/2.10 dependent: set(auto1).
% 1.90/2.10 dependent: set(process_input).
% 1.90/2.10 dependent: clear(print_kept).
% 1.90/2.10 dependent: clear(print_new_demod).
% 1.90/2.10 dependent: clear(print_back_demod).
% 1.90/2.10 dependent: clear(print_back_sub).
% 1.90/2.10 dependent: set(control_memory).
% 1.90/2.10 dependent: assign(max_mem, 12000).
% 1.90/2.10 dependent: assign(pick_given_ratio, 4).
% 1.90/2.10 dependent: assign(stats_level, 1).
% 1.90/2.10 dependent: assign(max_seconds, 10800).
% 1.90/2.10 clear(print_given).
% 1.90/2.10
% 1.90/2.10 formula_list(usable).
% 1.90/2.10 all A (A=A).
% 1.90/2.10 all W0 (aNaturalNumber0(W0)->$T).
% 1.90/2.10 aNaturalNumber0(sz00).
% 1.90/2.10 aNaturalNumber0(sz10).
% 1.90/2.10 sz10!=sz00.
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtpldt0(W0,W1))).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->aNaturalNumber0(sdtasdt0(W0,W1))).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtpldt0(W0,W1)=sdtpldt0(W1,W0)).
% 1.90/2.10 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))).
% 1.90/2.10 all W0 (aNaturalNumber0(W0)->sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtasdt0(W0,W1)=sdtasdt0(W1,W0)).
% 1.90/2.10 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)->sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2))).
% 1.90/2.10 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)).
% 1.90/2.10 all W0 (aNaturalNumber0(W0)->sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)).
% 1.90/2.10 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(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))).
% 1.90/2.10 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtpldt0(W0,W1)=sdtpldt0(W0,W2)|sdtpldt0(W1,W0)=sdtpldt0(W2,W0)->W1=W2)).
% 1.90/2.10 all W0 (aNaturalNumber0(W0)-> (W0!=sz00-> (all W1 W2 (aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtasdt0(W0,W1)=sdtasdt0(W0,W2)|sdtasdt0(W1,W0)=sdtasdt0(W2,W0)->W1=W2))))).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtpldt0(W0,W1)=sz00->W0=sz00&W1=sz00)).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtasdt0(W0,W1)=sz00->W0=sz00|W1=sz00)).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)<-> (exists W2 (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)-> (all W2 (W2=sdtmndt0(W1,W0)<->aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))).
% 1.90/2.10 all W0 (aNaturalNumber0(W0)->sdtlse_qdt0(W0,W0)).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 1.90/2.10 all W0 W1 W2 (aNaturalNumber0(W0)&aNaturalNumber0(W1)&aNaturalNumber0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 1.90/2.10 all W0 W1 (aNaturalNumber0(W0)&aNaturalNumber0(W1)->sdtlse_qdt0(W0,W1)|W1!=W0&sdtlse_qdt0(W1,W0)).
% 1.90/2.10 aNaturalNumber0(xl).
% 1.90/2.10 aNaturalNumber0(xn).
% 1.90/2.10 xl!=xn.
% 1.90/2.10 exists W0 (aNaturalNumber0(W0)&sdtpldt0(xl,W0)=xn).
% 1.90/2.10 sdtlse_qdt0(xl,xn).
% 1.90/2.10 aNaturalNumber0(xm).
% 1.90/2.10 -(sdtpldt0(xm,xl)!=sdtpldt0(xm,xn)& ((exists W0 (aNaturalNumber0(W0)&sdtpldt0(sdtpldt0(xm,xl),W0)=sdtpldt0(xm,xn)))|sdtlse_qdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))&sdtpldt0(xl,xm)!=sdtpldt0(xn,xm)& ((exists W0 (aNaturalNumber0(W0)&sdtpldt0(sdtpldt0(xl,xm),W0)=sdtpldt0(xn,xm)))|sdtlse_qdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)))).
% 1.90/2.10 end_of_list.
% 1.90/2.10
% 1.90/2.10 -------> usable clausifies to:
% 1.90/2.10
% 1.90/2.10 list(usable).
% 1.90/2.10 0 [] A=A.
% 1.90/2.10 0 [] -aNaturalNumber0(W0)|$T.
% 1.90/2.10 0 [] aNaturalNumber0(sz00).
% 1.90/2.10 0 [] aNaturalNumber0(sz10).
% 1.90/2.10 0 [] sz10!=sz00.
% 1.90/2.10 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtpldt0(W0,W1)).
% 1.90/2.10 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|aNaturalNumber0(sdtasdt0(W0,W1)).
% 1.90/2.10 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)=sdtpldt0(W1,W0).
% 1.90/2.10 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)).
% 1.90/2.10 0 [] -aNaturalNumber0(W0)|sdtpldt0(W0,sz00)=W0.
% 1.90/2.10 0 [] -aNaturalNumber0(W0)|W0=sdtpldt0(sz00,W0).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)=sdtasdt0(W1,W0).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz10)=W0.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|W0=sdtasdt0(sz10,W0).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|sdtasdt0(W0,sz00)=sz00.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|sz00=sdtasdt0(sz00,W0).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W1)!=sdtpldt0(W0,W2)|W1=W2.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtpldt0(W1,W0)!=sdtpldt0(W2,W0)|W1=W2.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W0,W1)!=sdtasdt0(W0,W2)|W1=W2.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|W0=sz00| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)|sdtasdt0(W1,W0)!=sdtasdt0(W2,W0)|W1=W2.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W0=sz00.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtpldt0(W0,W1)!=sz00|W1=sz00.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtasdt0(W0,W1)!=sz00|W0=sz00|W1=sz00.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|aNaturalNumber0($f1(W0,W1)).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|sdtpldt0(W0,$f1(W0,W1))=W1.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|aNaturalNumber0(W2).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2!=sdtmndt0(W1,W0)|sdtpldt0(W0,W2)=W1.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)|W2=sdtmndt0(W1,W0)| -aNaturalNumber0(W2)|sdtpldt0(W0,W2)!=W1.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)|sdtlse_qdt0(W0,W0).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)| -aNaturalNumber0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|W1!=W0.
% 1.90/2.11 0 [] -aNaturalNumber0(W0)| -aNaturalNumber0(W1)|sdtlse_qdt0(W0,W1)|sdtlse_qdt0(W1,W0).
% 1.90/2.11 0 [] aNaturalNumber0(xl).
% 1.90/2.11 0 [] aNaturalNumber0(xn).
% 1.90/2.11 0 [] xl!=xn.
% 1.90/2.11 0 [] aNaturalNumber0($c1).
% 1.90/2.11 0 [] sdtpldt0(xl,$c1)=xn.
% 1.90/2.11 0 [] sdtlse_qdt0(xl,xn).
% 1.90/2.11 0 [] aNaturalNumber0(xm).
% 1.90/2.11 0 [] sdtpldt0(xm,xl)=sdtpldt0(xm,xn)| -aNaturalNumber0(W0)|sdtpldt0(sdtpldt0(xm,xl),W0)!=sdtpldt0(xm,xn)|sdtpldt0(xl,xm)=sdtpldt0(xn,xm)| -aNaturalNumber0(X1)|sdtpldt0(sdtpldt0(xl,xm),X1)!=sdtpldt0(xn,xm).
% 1.90/2.11 0 [] sdtpldt0(xm,xl)=sdtpldt0(xm,xn)| -aNaturalNumber0(W0)|sdtpldt0(sdtpldt0(xm,xl),W0)!=sdtpldt0(xm,xn)|sdtpldt0(xl,xm)=sdtpldt0(xn,xm)| -sdtlse_qdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)).
% 1.90/2.11 0 [] sdtpldt0(xm,xl)=sdtpldt0(xm,xn)| -sdtlse_qdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm)| -aNaturalNumber0(X1)|sdtpldt0(sdtpldt0(xl,xm),X1)!=sdtpldt0(xn,xm).
% 1.90/2.11 0 [] sdtpldt0(xm,xl)=sdtpldt0(xm,xn)| -sdtlse_qdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm)| -sdtlse_qdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)).
% 1.90/2.11 end_of_list.
% 1.90/2.11
% 1.90/2.11 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.90/2.11
% 1.90/2.11 This ia a non-Horn set with equality. The strategy will be
% 1.90/2.11 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.11 deletion, with positive clauses in sos and nonpositive
% 1.90/2.11 clauses in usable.
% 1.90/2.11
% 1.90/2.11 dependent: set(knuth_bendix).
% 1.90/2.11 dependent: set(anl_eq).
% 1.90/2.11 dependent: set(para_from).
% 1.90/2.11 dependent: set(para_into).
% 1.90/2.11 dependent: clear(para_from_right).
% 1.90/2.11 dependent: clear(para_into_right).
% 1.90/2.11 dependent: set(para_from_vars).
% 1.90/2.11 dependent: set(eq_units_both_ways).
% 1.90/2.11 dependent: set(dynamic_demod_all).
% 1.90/2.11 dependent: set(dynamic_demod).
% 1.90/2.11 dependent: set(order_eq).
% 1.90/2.11 dependent: set(back_demod).
% 1.90/2.11 dependent: set(lrpo).
% 1.90/2.11 dependent: set(hyper_res).
% 1.90/2.11 dependent: set(unit_deletion).
% 1.90/2.11 dependent: set(factor).
% 1.90/2.11
% 1.90/2.11 ------------> process usable:
% 1.90/2.11 ** KEPT (pick-wt=3): 1 [] sz10!=sz00.
% 1.90/2.11 ** KEPT (pick-wt=8): 2 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtpldt0(A,B)).
% 1.90/2.11 ** KEPT (pick-wt=8): 3 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|aNaturalNumber0(sdtasdt0(A,B)).
% 1.90/2.11 ** KEPT (pick-wt=11): 4 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)=sdtpldt0(B,A).
% 1.90/2.11 ** KEPT (pick-wt=17): 5 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtpldt0(A,B),C)=sdtpldt0(A,sdtpldt0(B,C)).
% 1.90/2.11 ** KEPT (pick-wt=7): 6 [] -aNaturalNumber0(A)|sdtpldt0(A,sz00)=A.
% 1.90/2.11 ** KEPT (pick-wt=7): 8 [copy,7,flip.2] -aNaturalNumber0(A)|sdtpldt0(sz00,A)=A.
% 1.90/2.11 ** KEPT (pick-wt=11): 9 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)=sdtasdt0(B,A).
% 1.90/2.11 ** KEPT (pick-wt=17): 10 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(sdtasdt0(A,B),C)=sdtasdt0(A,sdtasdt0(B,C)).
% 1.90/2.11 ** KEPT (pick-wt=7): 11 [] -aNaturalNumber0(A)|sdtasdt0(A,sz10)=A.
% 1.90/2.11 ** KEPT (pick-wt=7): 13 [copy,12,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz10,A)=A.
% 1.90/2.11 ** KEPT (pick-wt=7): 14 [] -aNaturalNumber0(A)|sdtasdt0(A,sz00)=sz00.
% 1.90/2.11 ** KEPT (pick-wt=7): 16 [copy,15,flip.2] -aNaturalNumber0(A)|sdtasdt0(sz00,A)=sz00.
% 1.90/2.11 ** KEPT (pick-wt=19): 18 [copy,17,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtasdt0(A,B),sdtasdt0(A,C))=sdtasdt0(A,sdtpldt0(B,C)).
% 1.90/2.11 ** KEPT (pick-wt=19): 20 [copy,19,flip.4] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(sdtasdt0(B,A),sdtasdt0(C,A))=sdtasdt0(sdtpldt0(B,C),A).
% 1.90/2.11 ** KEPT (pick-wt=16): 21 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(A,B)!=sdtpldt0(A,C)|B=C.
% 1.90/2.11 ** KEPT (pick-wt=16): 22 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtpldt0(B,A)!=sdtpldt0(C,A)|B=C.
% 1.90/2.11 ** KEPT (pick-wt=19): 23 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(A,B)!=sdtasdt0(A,C)|B=C.
% 1.90/2.11 ** KEPT (pick-wt=19): 24 [] -aNaturalNumber0(A)|A=sz00| -aNaturalNumber0(B)| -aNaturalNumber0(C)|sdtasdt0(B,A)!=sdtasdt0(C,A)|B=C.
% 1.90/2.11 ** KEPT (pick-wt=12): 25 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|A=sz00.
% 1.90/2.11 ** KEPT (pick-wt=12): 26 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtpldt0(A,B)!=sz00|B=sz00.
% 1.90/2.11 ** KEPT (pick-wt=15): 27 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtasdt0(A,B)!=sz00|A=sz00|B=sz00.
% 1.90/2.11 ** KEPT (pick-wt=11): 28 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|aNaturalNumber0($f1(A,B)).
% 1.90/2.11 ** KEPT (pick-wt=14): 29 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|sdtpldt0(A,$f1(A,B))=B.
% 1.90/2.11 ** KEPT (pick-wt=14): 30 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 1.90/2.11 ** KEPT (pick-wt=14): 31 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|aNaturalNumber0(C).
% 1.90/2.11 ** KEPT (pick-wt=17): 32 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C!=sdtmndt0(B,A)|sdtpldt0(A,C)=B.
% 1.90/2.11 ** KEPT (pick-wt=19): 33 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)|C=sdtmndt0(B,A)| -aNaturalNumber0(C)|sdtpldt0(A,C)!=B.
% 1.90/2.11 ** KEPT (pick-wt=5): 34 [] -aNaturalNumber0(A)|sdtlse_qdt0(A,A).
% 1.90/2.11 ** KEPT (pick-wt=13): 35 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 1.90/2.11 ** KEPT (pick-wt=15): 36 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)| -aNaturalNumber0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 1.90/2.11 ** KEPT (pick-wt=10): 37 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|B!=A.
% 1.90/2.11 ** KEPT (pick-wt=10): 38 [] -aNaturalNumber0(A)| -aNaturalNumber0(B)|sdtlse_qdt0(A,B)|sdtlse_qdt0(B,A).
% 1.90/2.11 ** KEPT (pick-wt=3): 40 [copy,39,flip.1] xn!=xl.
% 1.90/2.11 ** KEPT (pick-wt=36): 42 [copy,41,flip.1,flip.4] sdtpldt0(xm,xn)=sdtpldt0(xm,xl)| -aNaturalNumber0(A)|sdtpldt0(sdtpldt0(xm,xl),A)!=sdtpldt0(xm,xn)|sdtpldt0(xn,xm)=sdtpldt0(xl,xm)| -aNaturalNumber0(B)|sdtpldt0(sdtpldt0(xl,xm),B)!=sdtpldt0(xn,xm).
% 1.90/2.11 ** KEPT (pick-wt=32): 44 [copy,43,flip.1,flip.4] sdtpldt0(xm,xn)=sdtpldt0(xm,xl)| -aNaturalNumber0(A)Alarm clock
% 299.81/300.02 Otter interrupted
% 299.81/300.02 PROOF NOT FOUND
%------------------------------------------------------------------------------