TSTP Solution File: SWW639_2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW639_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri Sep 1 00:40:00 EDT 2023
% Result : Theorem 11.76s 2.13s
% Output : CNFRefutation 11.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW639_2 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.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 : Sun Aug 27 21:04:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running TFA theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.76/2.13 % SZS status Started for theBenchmark.p
% 11.76/2.13 % SZS status Theorem for theBenchmark.p
% 11.76/2.13
% 11.76/2.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.76/2.13
% 11.76/2.13 ------ iProver source info
% 11.76/2.13
% 11.76/2.13 git: date: 2023-05-31 18:12:56 +0000
% 11.76/2.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.76/2.13 git: non_committed_changes: false
% 11.76/2.13 git: last_make_outside_of_git: false
% 11.76/2.13
% 11.76/2.13 ------ Parsing...
% 11.76/2.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.76/2.13
% 11.76/2.13 ------ Preprocessing... sup_sim: 34 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 39 sf_s rm: 8 0s sf_e pe_s pe_e
% 11.76/2.13
% 11.76/2.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.76/2.13
% 11.76/2.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.76/2.13 ------ Proving...
% 11.76/2.13 ------ Problem Properties
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13 clauses 101
% 11.76/2.13 conjectures 56
% 11.76/2.13 EPR 9
% 11.76/2.13 Horn 84
% 11.76/2.13 unary 75
% 11.76/2.13 binary 17
% 11.76/2.13 lits 139
% 11.76/2.13 lits eq 73
% 11.76/2.13 fd_pure 1
% 11.76/2.13 fd_pseudo 0
% 11.76/2.13 fd_cond 0
% 11.76/2.13 fd_pseudo_cond 3
% 11.76/2.13 AC symbols 2
% 11.76/2.13
% 11.76/2.13 ------ Input Options Time Limit: Unbounded
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13 ------
% 11.76/2.13 Current options:
% 11.76/2.13 ------
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13 ------ Proving...
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13 % SZS status Theorem for theBenchmark.p
% 11.76/2.13
% 11.76/2.13 % SZS output start CNFRefutation for theBenchmark.p
% 11.76/2.13
% 11.76/2.13 tff(f21,axiom,(
% 11.76/2.13 ! [X0 : ty,X8 : ty,X9 : uni,X10 : uni,X11 : uni,X12 : uni] : (sort1(X8,X12) => (X10 = X11 => get(X8,X0,set(X8,X0,X9,X10,X12),X11) = X12))),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq)).
% 11.76/2.13
% 11.76/2.13 tff(f31,axiom,(
% 11.76/2.13 ! [X1 : $int] : sort1(int,t2tb(X1))),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort)).
% 11.76/2.13
% 11.76/2.13 tff(f32,axiom,(
% 11.76/2.13 ! [X14 : $int] : tb2t(t2tb(X14)) = X14),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL)).
% 11.76/2.13
% 11.76/2.13 tff(f33,axiom,(
% 11.76/2.13 ! [X15 : uni] : t2tb(tb2t(X15)) = X15),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR)).
% 11.76/2.13
% 11.76/2.13 tff(f38,axiom,(
% 11.76/2.13 ! [X0 : ty,X17 : $int,X16 : uni] : make2(X0,X17,X16) = mk_array1(X0,X17,const(X0,int,X16))),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_def)).
% 11.76/2.13
% 11.76/2.13 tff(f42,axiom,(
% 11.76/2.13 ! [X0 : ty,X6 : uni,X13 : $int,X18 : uni] : length3(X0,mk_rarray1(X0,X6,X13,X18)) = X13),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def3)).
% 11.76/2.13
% 11.76/2.13 tff(f44,axiom,(
% 11.76/2.13 ! [X0 : ty,X6 : uni,X13 : $int,X18 : uni] : data(X0,mk_rarray1(X0,X6,X13,X18)) = X18),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',data_def1)).
% 11.76/2.13
% 11.76/2.13 tff(f51,axiom,(
% 11.76/2.13 ! [X0 : ty,X20 : $int,X21 : uni] : make3(X0,X20,X21) = mk_rarray1(X0,X21,X20,make2(X0,X20,X21))),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_def1)).
% 11.76/2.13
% 11.76/2.13 tff(f54,axiom,(
% 11.76/2.13 ! [X15 : uni] : t2tb1(tb2t1(X15)) = X15),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)).
% 11.76/2.13
% 11.76/2.13 tff(f61,conjecture,(
% 11.76/2.13 ((? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X14))) = tb2t(dummy(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => (! [X22 : map_int_int] : ((? [X1 : $int,X2 : $int,X3 : array_int] : (? [X23 : $int,X24 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X22 & length2(int,data(int,make3(int,10,t2tb(0)))) = X23 & tb2t2(mk_array1(int,X23,t2tb1(X24))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X22),t2tb(X14)))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => (((? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X14))) = tb2t(dummy(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => (! [X25 : map_int_int] : ((? [X1 : $int,X2 : $int,X3 : array_int] : (? [X23 : $int,X24 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X25 & length2(int,data(int,make3(int,10,t2tb(0)))) = X23 & tb2t2(mk_array1(int,X23,t2tb1(X24))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X25),t2tb(X14)))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => ! [X26 : $int,X27 : map_int_int,X28 : $int] : ((! [X14 : $int] : (($less(X14,X28) & $lesseq(0,X14)) => (($lesseq(length3(int,make3(int,10,t2tb(0))),X14) => tb2t(get(int,int,t2tb1(X27),t2tb(X14))) = tb2t(get(int,int,t2tb1(X25),t2tb($difference(X14,length3(int,make3(int,10,t2tb(0)))))))) & ($less(X14,length3(int,make3(int,10,t2tb(0)))) => tb2t(get(int,int,t2tb1(X22),t2tb(X14))) = tb2t(get(int,int,t2tb1(X27),t2tb(X14)))))) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X28 & ? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,X26) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,X26) & $lesseq(X28,X14)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X27),t2tb(X14)))) & $lesseq(X28,X26) & $lesseq(0,X28)) => (42 = tb2t(get(int,int,t2tb1(X25),t2tb(0))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & $lesseq(0,0) & 42 = tb2t(get(int,int,t2tb1(X27),t2tb(10))) & $less(10,X28) & $lesseq(0,10) & 17 = tb2t(get(int,int,t2tb1(X27),t2tb(0))) & 20 = X28))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & $lesseq(0,0))) & $lesseq(0,10))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & $lesseq(0,0))) & $lesseq(0,10)),
% 11.76/2.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_test2)).
% 11.76/2.13
% 11.76/2.13 tff(f62,negated_conjecture,(
% 11.76/2.13 ~(((? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X14))) = tb2t(dummy(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => (! [X22 : map_int_int] : ((? [X1 : $int,X2 : $int,X3 : array_int] : (? [X23 : $int,X24 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X22 & length2(int,data(int,make3(int,10,t2tb(0)))) = X23 & tb2t2(mk_array1(int,X23,t2tb1(X24))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X22),t2tb(X14)))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => (((? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X14))) = tb2t(dummy(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => (! [X25 : map_int_int] : ((? [X1 : $int,X2 : $int,X3 : array_int] : (? [X23 : $int,X24 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X25 & length2(int,data(int,make3(int,10,t2tb(0)))) = X23 & tb2t2(mk_array1(int,X23,t2tb1(X24))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,length2(int,t2tb2(X3))) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(length3(int,make3(int,10,t2tb(0))),X14)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X25),t2tb(X14)))) & $lesseq(length3(int,make3(int,10,t2tb(0))),length2(int,data(int,make3(int,10,t2tb(0))))) & $lesseq(0,length3(int,make3(int,10,t2tb(0))))) => ! [X26 : $int,X27 : map_int_int,X28 : $int] : ((! [X14 : $int] : (($less(X14,X28) & $lesseq(0,X14)) => (($lesseq(length3(int,make3(int,10,t2tb(0))),X14) => tb2t(get(int,int,t2tb1(X27),t2tb(X14))) = tb2t(get(int,int,t2tb1(X25),t2tb($difference(X14,length3(int,make3(int,10,t2tb(0)))))))) & ($less(X14,length3(int,make3(int,10,t2tb(0)))) => tb2t(get(int,int,t2tb1(X22),t2tb(X14))) = tb2t(get(int,int,t2tb1(X27),t2tb(X14)))))) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X28 & ? [X1 : $int,X2 : $int,X3 : array_int] : ($lesseq(0,X26) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,X26) & $lesseq(X28,X14)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X27),t2tb(X14)))) & $lesseq(X28,X26) & $lesseq(0,X28)) => (42 = tb2t(get(int,int,t2tb1(X25),t2tb(0))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & $lesseq(0,0) & 42 = tb2t(get(int,int,t2tb1(X27),t2tb(10))) & $less(10,X28) & $lesseq(0,10) & 17 = tb2t(get(int,int,t2tb1(X27),t2tb(0))) & 20 = X28))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & $lesseq(0,0))) & $lesseq(0,10))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & $lesseq(0,0))) & $lesseq(0,10))),
% 11.76/2.13 inference(negated_conjecture,[],[f61])).
% 11.76/2.13
% 11.76/2.13 tff(f72,plain,(
% 11.76/2.13 ~(((? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X14,length3(int,make3(int,10,t2tb(0))))) => tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X14))) = tb2t(dummy(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (! [X22 : map_int_int] : ((? [X1 : $int,X2 : $int,X3 : array_int] : (? [X23 : $int,X24 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X22 & length2(int,data(int,make3(int,10,t2tb(0)))) = X23 & tb2t2(mk_array1(int,X23,t2tb1(X24))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X14,length3(int,make3(int,10,t2tb(0))))) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X22),t2tb(X14)))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (((? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X14,length3(int,make3(int,10,t2tb(0))))) => tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X14))) = tb2t(dummy(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (! [X25 : map_int_int] : ((? [X1 : $int,X2 : $int,X3 : array_int] : (? [X23 : $int,X24 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X25 & length2(int,data(int,make3(int,10,t2tb(0)))) = X23 & tb2t2(mk_array1(int,X23,t2tb1(X24))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X14,length3(int,make3(int,10,t2tb(0))))) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X25),t2tb(X14)))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => ! [X26 : $int,X27 : map_int_int,X28 : $int] : ((! [X14 : $int] : (($less(X14,X28) & ~$less(X14,0)) => ((~$less(X14,length3(int,make3(int,10,t2tb(0)))) => tb2t(get(int,int,t2tb1(X27),t2tb(X14))) = tb2t(get(int,int,t2tb1(X25),t2tb($sum(X14,$uminus(length3(int,make3(int,10,t2tb(0))))))))) & ($less(X14,length3(int,make3(int,10,t2tb(0)))) => tb2t(get(int,int,t2tb1(X22),t2tb(X14))) = tb2t(get(int,int,t2tb1(X27),t2tb(X14)))))) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X28 & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(X26,0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X14 : $int] : (($less(X14,X26) & ~$less(X14,X28)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X27),t2tb(X14)))) & ~$less(X26,X28) & ~$less(X28,0)) => (42 = tb2t(get(int,int,t2tb1(X25),t2tb(0))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & ~$less(0,0) & 42 = tb2t(get(int,int,t2tb1(X27),t2tb(10))) & $less(10,X28) & ~$less(10,0) & 17 = tb2t(get(int,int,t2tb1(X27),t2tb(0))) & 20 = X28))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & ~$less(0,0))) & ~$less(10,0))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & ~$less(0,0))) & ~$less(10,0))),
% 11.76/2.13 inference(theory_normalization,[],[f62])).
% 11.76/2.13
% 11.76/2.13 tff(f73,plain,(
% 11.76/2.13 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 11.76/2.13 introduced(theory_axiom_138,[])).
% 11.76/2.13
% 11.76/2.13 tff(f74,plain,(
% 11.76/2.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 11.76/2.13 introduced(theory_axiom_139,[])).
% 11.76/2.13
% 11.76/2.13 tff(f78,plain,(
% 11.76/2.13 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 11.76/2.13 introduced(theory_axiom_145,[])).
% 11.76/2.13
% 11.76/2.13 tff(f79,plain,(
% 11.76/2.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 11.76/2.13 introduced(theory_axiom_146,[])).
% 11.76/2.13
% 11.76/2.13 tff(f84,plain,(
% 11.76/2.13 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 11.76/2.13 introduced(theory_axiom_138,[])).
% 11.76/2.13
% 11.76/2.13 tff(f85,plain,(
% 11.76/2.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 11.76/2.13 introduced(theory_axiom_139,[])).
% 11.76/2.13
% 11.76/2.13 tff(f108,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort1(X1,X5) => (X3 = X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5))),
% 11.76/2.13 inference(rectify,[],[f21])).
% 11.76/2.13
% 11.76/2.13 tff(f115,plain,(
% 11.76/2.13 ! [X0 : $int] : sort1(int,t2tb(X0))),
% 11.76/2.13 inference(rectify,[],[f31])).
% 11.76/2.13
% 11.76/2.13 tff(f116,plain,(
% 11.76/2.13 ! [X0 : $int] : tb2t(t2tb(X0)) = X0),
% 11.76/2.13 inference(rectify,[],[f32])).
% 11.76/2.13
% 11.76/2.13 tff(f117,plain,(
% 11.76/2.13 ! [X0 : uni] : t2tb(tb2t(X0)) = X0),
% 11.76/2.13 inference(rectify,[],[f33])).
% 11.76/2.13
% 11.76/2.13 tff(f120,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : $int,X2 : uni] : make2(X0,X1,X2) = mk_array1(X0,X1,const(X0,int,X2))),
% 11.76/2.13 inference(rectify,[],[f38])).
% 11.76/2.13
% 11.76/2.13 tff(f122,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : uni,X2 : $int,X3 : uni] : length3(X0,mk_rarray1(X0,X1,X2,X3)) = X2),
% 11.76/2.13 inference(rectify,[],[f42])).
% 11.76/2.13
% 11.76/2.13 tff(f123,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : uni,X2 : $int,X3 : uni] : data(X0,mk_rarray1(X0,X1,X2,X3)) = X3),
% 11.76/2.13 inference(rectify,[],[f44])).
% 11.76/2.13
% 11.76/2.13 tff(f127,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : $int,X2 : uni] : make3(X0,X1,X2) = mk_rarray1(X0,X2,X1,make2(X0,X1,X2))),
% 11.76/2.13 inference(rectify,[],[f51])).
% 11.76/2.13
% 11.76/2.13 tff(f130,plain,(
% 11.76/2.13 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0),
% 11.76/2.13 inference(rectify,[],[f54])).
% 11.76/2.13
% 11.76/2.13 tff(f137,plain,(
% 11.76/2.13 ~(((? [X0 : $int,X1 : $int,X2 : array_int] : (~$less(length2(int,t2tb2(X2)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X0),X1,t2tb2(X2)))) & ! [X3 : $int] : (($less(X3,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X3,length3(int,make3(int,10,t2tb(0))))) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X3)))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (! [X4 : map_int_int] : ((? [X5 : $int,X6 : $int,X7 : array_int] : (? [X8 : $int,X9 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X4 & length2(int,data(int,make3(int,10,t2tb(0)))) = X8 & tb2t2(mk_array1(int,X8,t2tb1(X9))) = X7) & length3(int,make3(int,10,t2tb(0))) = X6 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X5 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X5),X6,t2tb2(X7)))) & ? [X10 : $int,X11 : $int,X12 : array_int] : (~$less(length2(int,t2tb2(X12)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X10),X11,t2tb2(X12)))) & ! [X13 : $int] : (($less(X13,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X13,length3(int,make3(int,10,t2tb(0))))) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X4),t2tb(X13)))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (((? [X14 : $int,X15 : $int,X16 : array_int] : (~$less(length2(int,t2tb2(X16)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X14),X15,t2tb2(X16)))) & ! [X17 : $int] : (($less(X17,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X17,length3(int,make3(int,10,t2tb(0))))) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X17)))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (! [X18 : map_int_int] : ((? [X19 : $int,X20 : $int,X21 : array_int] : (? [X22 : $int,X23 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X18 & length2(int,data(int,make3(int,10,t2tb(0)))) = X22 & tb2t2(mk_array1(int,X22,t2tb1(X23))) = X21) & length3(int,make3(int,10,t2tb(0))) = X20 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X19 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X19),X20,t2tb2(X21)))) & ? [X24 : $int,X25 : $int,X26 : array_int] : (~$less(length2(int,t2tb2(X26)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X24),X25,t2tb2(X26)))) & ! [X27 : $int] : (($less(X27,length2(int,data(int,make3(int,10,t2tb(0))))) & ~$less(X27,length3(int,make3(int,10,t2tb(0))))) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X18),t2tb(X27)))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => ! [X28 : $int,X29 : map_int_int,X30 : $int] : ((! [X31 : $int] : (($less(X31,X30) & ~$less(X31,0)) => ((~$less(X31,length3(int,make3(int,10,t2tb(0)))) => tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X18),t2tb($sum(X31,$uminus(length3(int,make3(int,10,t2tb(0))))))))) & ($less(X31,length3(int,make3(int,10,t2tb(0)))) => tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X4),t2tb(X31)))))) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X30 & ? [X32 : $int,X33 : $int,X34 : array_int] : (~$less(X28,0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X32),X33,t2tb2(X34)))) & ! [X35 : $int] : (($less(X35,X28) & ~$less(X35,X30)) => tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X29),t2tb(X35)))) & ~$less(X28,X30) & ~$less(X30,0)) => (42 = tb2t(get(int,int,t2tb1(X18),t2tb(0))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & ~$less(0,0) & 42 = tb2t(get(int,int,t2tb1(X29),t2tb(10))) & $less(10,X30) & ~$less(10,0) & 17 = tb2t(get(int,int,t2tb1(X29),t2tb(0))) & 20 = X30))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & ~$less(0,0))) & ~$less(10,0))) & $less(0,length3(int,make3(int,10,t2tb(0)))) & ~$less(0,0))) & ~$less(10,0))),
% 11.76/2.13 inference(rectify,[],[f72])).
% 11.76/2.13
% 11.76/2.13 tff(f148,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort1(X1,X5))),
% 11.76/2.13 inference(ennf_transformation,[],[f108])).
% 11.76/2.13
% 11.76/2.13 tff(f149,plain,(
% 11.76/2.13 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5))),
% 11.76/2.13 inference(flattening,[],[f148])).
% 11.76/2.13
% 11.76/2.13 tff(f155,plain,(
% 11.76/2.13 ((? [X4 : map_int_int] : ((((? [X18 : map_int_int] : (? [X28 : $int,X29 : map_int_int,X30 : $int] : ((42 != tb2t(get(int,int,t2tb1(X18),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(X29),t2tb(10))) | ~$less(10,X30) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(X29),t2tb(0))) | 20 != X30) & (! [X31 : $int] : (((tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X18),t2tb($sum(X31,$uminus(length3(int,make3(int,10,t2tb(0)))))))) | $less(X31,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X4),t2tb(X31))) | ~$less(X31,length3(int,make3(int,10,t2tb(0)))))) | (~$less(X31,X30) | $less(X31,0))) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X30 & ? [X32 : $int,X33 : $int,X34 : array_int] : (~$less(X28,0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X32),X33,t2tb2(X34)))) & ! [X35 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X29),t2tb(X35))) | (~$less(X35,X28) | $less(X35,X30))) & ~$less(X28,X30) & ~$less(X30,0))) & (? [X19 : $int,X20 : $int,X21 : array_int] : (? [X22 : $int,X23 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X18 & length2(int,data(int,make3(int,10,t2tb(0)))) = X22 & tb2t2(mk_array1(int,X22,t2tb1(X23))) = X21) & length3(int,make3(int,10,t2tb(0))) = X20 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X19 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X19),X20,t2tb2(X21)))) & ? [X24 : $int,X25 : $int,X26 : array_int] : (~$less(length2(int,t2tb2(X26)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X24),X25,t2tb2(X26)))) & ! [X27 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X18),t2tb(X27))) | (~$less(X27,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X27,length3(int,make3(int,10,t2tb(0)))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0)) & (? [X14 : $int,X15 : $int,X16 : array_int] : (~$less(length2(int,t2tb2(X16)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X14),X15,t2tb2(X16)))) & ! [X17 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X17))) | (~$less(X17,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X17,length3(int,make3(int,10,t2tb(0)))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0))) | $less(10,0)) & (? [X5 : $int,X6 : $int,X7 : array_int] : (? [X8 : $int,X9 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X4 & length2(int,data(int,make3(int,10,t2tb(0)))) = X8 & tb2t2(mk_array1(int,X8,t2tb1(X9))) = X7) & length3(int,make3(int,10,t2tb(0))) = X6 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X5 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X5),X6,t2tb2(X7)))) & ? [X10 : $int,X11 : $int,X12 : array_int] : (~$less(length2(int,t2tb2(X12)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X10),X11,t2tb2(X12)))) & ! [X13 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X4),t2tb(X13))) | (~$less(X13,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X13,length3(int,make3(int,10,t2tb(0)))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0)) & (? [X0 : $int,X1 : $int,X2 : array_int] : (~$less(length2(int,t2tb2(X2)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X0),X1,t2tb2(X2)))) & ! [X3 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X3))) | (~$less(X3,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X3,length3(int,make3(int,10,t2tb(0)))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0))) | $less(10,0)),
% 11.76/2.13 inference(ennf_transformation,[],[f137])).
% 11.76/2.13
% 11.76/2.13 tff(f156,plain,(
% 11.76/2.13 ((? [X4 : map_int_int] : ((((? [X18 : map_int_int] : (? [X28 : $int,X29 : map_int_int,X30 : $int] : ((42 != tb2t(get(int,int,t2tb1(X18),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(X29),t2tb(10))) | ~$less(10,X30) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(X29),t2tb(0))) | 20 != X30) & ! [X31 : $int] : (((tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X18),t2tb($sum(X31,$uminus(length3(int,make3(int,10,t2tb(0)))))))) | $less(X31,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X4),t2tb(X31))) | ~$less(X31,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X31,X30) | $less(X31,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X30 & ? [X32 : $int,X33 : $int,X34 : array_int] : (~$less(X28,0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X32),X33,t2tb2(X34)))) & ! [X35 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X29),t2tb(X35))) | ~$less(X35,X28) | $less(X35,X30)) & ~$less(X28,X30) & ~$less(X30,0)) & ? [X19 : $int,X20 : $int,X21 : array_int] : (? [X22 : $int,X23 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X18 & length2(int,data(int,make3(int,10,t2tb(0)))) = X22 & tb2t2(mk_array1(int,X22,t2tb1(X23))) = X21) & length3(int,make3(int,10,t2tb(0))) = X20 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X19 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X19),X20,t2tb2(X21)))) & ? [X24 : $int,X25 : $int,X26 : array_int] : (~$less(length2(int,t2tb2(X26)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X24),X25,t2tb2(X26)))) & ! [X27 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X18),t2tb(X27))) | ~$less(X27,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X27,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0)) & ? [X14 : $int,X15 : $int,X16 : array_int] : (~$less(length2(int,t2tb2(X16)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X14),X15,t2tb2(X16)))) & ! [X17 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X17))) | ~$less(X17,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X17,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0)) & ? [X5 : $int,X6 : $int,X7 : array_int] : (? [X8 : $int,X9 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X4 & length2(int,data(int,make3(int,10,t2tb(0)))) = X8 & tb2t2(mk_array1(int,X8,t2tb1(X9))) = X7) & length3(int,make3(int,10,t2tb(0))) = X6 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X5 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X5),X6,t2tb2(X7)))) & ? [X10 : $int,X11 : $int,X12 : array_int] : (~$less(length2(int,t2tb2(X12)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X10),X11,t2tb2(X12)))) & ! [X13 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X4),t2tb(X13))) | ~$less(X13,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X13,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0)) & ? [X0 : $int,X1 : $int,X2 : array_int] : (~$less(length2(int,t2tb2(X2)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X0),X1,t2tb2(X2)))) & ! [X3 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X3))) | ~$less(X3,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X3,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0)),
% 11.76/2.13 inference(flattening,[],[f155])).
% 11.76/2.13
% 11.76/2.13 tff(f157,plain,(
% 11.76/2.13 ! [X28 : $int] : (? [X32 : $int,X33 : $int,X34 : array_int] : (~$less(X28,0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X32),X33,t2tb2(X34)))) | ~sP0(X28))),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 11.76/2.13
% 11.76/2.13 tff(f158,plain,(
% 11.76/2.13 ! [X18 : map_int_int,X4 : map_int_int] : (? [X28 : $int,X29 : map_int_int,X30 : $int] : ((42 != tb2t(get(int,int,t2tb1(X18),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(X29),t2tb(10))) | ~$less(10,X30) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(X29),t2tb(0))) | 20 != X30) & ! [X31 : $int] : (((tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X18),t2tb($sum(X31,$uminus(length3(int,make3(int,10,t2tb(0)))))))) | $less(X31,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X4),t2tb(X31))) | ~$less(X31,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X31,X30) | $less(X31,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X30 & sP0(X28) & ! [X35 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X29),t2tb(X35))) | ~$less(X35,X28) | $less(X35,X30)) & ~$less(X28,X30) & ~$less(X30,0)) | ~sP1(X18,X4))),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
% 11.76/2.13
% 11.76/2.13 tff(f159,plain,(
% 11.76/2.13 ! [X18 : map_int_int] : (? [X19 : $int,X20 : $int,X21 : array_int] : (? [X22 : $int,X23 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X18 & length2(int,data(int,make3(int,10,t2tb(0)))) = X22 & tb2t2(mk_array1(int,X22,t2tb1(X23))) = X21) & length3(int,make3(int,10,t2tb(0))) = X20 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X19 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X19),X20,t2tb2(X21)))) | ~sP2(X18))),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
% 11.76/2.13
% 11.76/2.13 tff(f160,plain,(
% 11.76/2.13 ! [X4 : map_int_int] : (? [X18 : map_int_int] : (sP1(X18,X4) & sP2(X18) & ? [X24 : $int,X25 : $int,X26 : array_int] : (~$less(length2(int,t2tb2(X26)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X24),X25,t2tb2(X26)))) & ! [X27 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X18),t2tb(X27))) | ~$less(X27,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X27,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP3(X4))),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])).
% 11.76/2.13
% 11.76/2.13 tff(f161,plain,(
% 11.76/2.13 ! [X4 : map_int_int] : (? [X5 : $int,X6 : $int,X7 : array_int] : (? [X8 : $int,X9 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X4 & length2(int,data(int,make3(int,10,t2tb(0)))) = X8 & tb2t2(mk_array1(int,X8,t2tb1(X9))) = X7) & length3(int,make3(int,10,t2tb(0))) = X6 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X5 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X5),X6,t2tb2(X7)))) | ~sP4(X4))),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])).
% 11.76/2.13
% 11.76/2.13 tff(f162,plain,(
% 11.76/2.13 ! [X4 : map_int_int] : ((sP3(X4) & ? [X14 : $int,X15 : $int,X16 : array_int] : (~$less(length2(int,t2tb2(X16)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X14),X15,t2tb2(X16)))) & ! [X17 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X17))) | ~$less(X17,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X17,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0) | ~sP5(X4))),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])).
% 11.76/2.13
% 11.76/2.13 tff(f163,plain,(
% 11.76/2.13 ? [X4 : map_int_int] : (sP5(X4) & sP4(X4) & ? [X10 : $int,X11 : $int,X12 : array_int] : (~$less(length2(int,t2tb2(X12)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X10),X11,t2tb2(X12)))) & ! [X13 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X4),t2tb(X13))) | ~$less(X13,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X13,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP6),
% 11.76/2.13 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])).
% 11.76/2.13
% 11.76/2.13 tff(f164,plain,(
% 11.76/2.13 (sP6 & ? [X0 : $int,X1 : $int,X2 : array_int] : (~$less(length2(int,t2tb2(X2)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X0),X1,t2tb2(X2)))) & ! [X3 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X3))) | ~$less(X3,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X3,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0)),
% 11.76/2.13 inference(definition_folding,[],[f156,f163,f162,f161,f160,f159,f158,f157])).
% 11.76/2.13
% 11.76/2.13 tff(f165,plain,(
% 11.76/2.13 ? [X4 : map_int_int] : (sP5(X4) & sP4(X4) & ? [X10 : $int,X11 : $int,X12 : array_int] : (~$less(length2(int,t2tb2(X12)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X10),X11,t2tb2(X12)))) & ! [X13 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X4),t2tb(X13))) | ~$less(X13,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X13,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(nnf_transformation,[],[f163])).
% 11.76/2.13
% 11.76/2.13 tff(f166,plain,(
% 11.76/2.13 ? [X0 : map_int_int] : (sP5(X0) & sP4(X0) & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X4 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X0),t2tb(X4))) | ~$less(X4,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X4,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(rectify,[],[f165])).
% 11.76/2.13
% 11.76/2.13 tff(f167,plain,(
% 11.76/2.13 ? [X0 : map_int_int] : (sP5(X0) & sP4(X0) & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X4 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X0),t2tb(X4))) | ~$less(X4,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X4,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (sP5(sK7) & sP4(sK7) & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X4 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(sK7),t2tb(X4))) | ~$less(X4,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X4,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f168,plain,(
% 11.76/2.13 ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) => (~$less(length2(int,t2tb2(sK10)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK8),sK9,t2tb2(sK10))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f169,plain,(
% 11.76/2.13 (sP5(sK7) & sP4(sK7) & (~$less(length2(int,t2tb2(sK10)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK8),sK9,t2tb2(sK10)))) & ! [X4 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(sK7),t2tb(X4))) | ~$less(X4,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X4,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f166,f168,f167])).
% 11.76/2.13
% 11.76/2.13 tff(f170,plain,(
% 11.76/2.13 ! [X4 : map_int_int] : ((sP3(X4) & ? [X14 : $int,X15 : $int,X16 : array_int] : (~$less(length2(int,t2tb2(X16)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X14),X15,t2tb2(X16)))) & ! [X17 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X17))) | ~$less(X17,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X17,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0) | ~sP5(X4))),
% 11.76/2.13 inference(nnf_transformation,[],[f162])).
% 11.76/2.13
% 11.76/2.13 tff(f171,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : ((sP3(X0) & ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) & ! [X4 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X4))) | ~$less(X4,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X4,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0) | ~sP5(X0))),
% 11.76/2.13 inference(rectify,[],[f170])).
% 11.76/2.13
% 11.76/2.13 tff(f172,plain,(
% 11.76/2.13 ? [X1 : $int,X2 : $int,X3 : array_int] : (~$less(length2(int,t2tb2(X3)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) => (~$less(length2(int,t2tb2(sK13)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK11),sK12,t2tb2(sK13))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f173,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : ((sP3(X0) & (~$less(length2(int,t2tb2(sK13)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK11),sK12,t2tb2(sK13)))) & ! [X4 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X4))) | ~$less(X4,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X4,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0) | ~sP5(X0))),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f171,f172])).
% 11.76/2.13
% 11.76/2.13 tff(f174,plain,(
% 11.76/2.13 ! [X4 : map_int_int] : (? [X5 : $int,X6 : $int,X7 : array_int] : (? [X8 : $int,X9 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X4 & length2(int,data(int,make3(int,10,t2tb(0)))) = X8 & tb2t2(mk_array1(int,X8,t2tb1(X9))) = X7) & length3(int,make3(int,10,t2tb(0))) = X6 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X5 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X5),X6,t2tb2(X7)))) | ~sP4(X4))),
% 11.76/2.13 inference(nnf_transformation,[],[f161])).
% 11.76/2.13
% 11.76/2.13 tff(f175,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X1 : $int,X2 : $int,X3 : array_int] : (? [X4 : $int,X5 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) | ~sP4(X0))),
% 11.76/2.13 inference(rectify,[],[f174])).
% 11.76/2.13
% 11.76/2.13 tff(f176,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X1 : $int,X2 : $int,X3 : array_int] : (? [X4 : $int,X5 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) => (? [X5 : map_int_int,X4 : $int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = sK16(X0)) & length3(int,make3(int,10,t2tb(0))) = sK15(X0) & tb2t(dummy(int,make3(int,10,t2tb(0)))) = sK14(X0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK14(X0)),sK15(X0),t2tb2(sK16(X0))))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f177,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X5 : map_int_int,X4 : $int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = sK16(X0)) => (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = sK17(X0) & sK16(X0) = tb2t2(mk_array1(int,sK17(X0),t2tb1(sK18(X0))))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f178,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (((tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = sK17(X0) & sK16(X0) = tb2t2(mk_array1(int,sK17(X0),t2tb1(sK18(X0))))) & length3(int,make3(int,10,t2tb(0))) = sK15(X0) & tb2t(dummy(int,make3(int,10,t2tb(0)))) = sK14(X0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK14(X0)),sK15(X0),t2tb2(sK16(X0))))) | ~sP4(X0))),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18])],[f175,f177,f176])).
% 11.76/2.13
% 11.76/2.13 tff(f179,plain,(
% 11.76/2.13 ! [X4 : map_int_int] : (? [X18 : map_int_int] : (sP1(X18,X4) & sP2(X18) & ? [X24 : $int,X25 : $int,X26 : array_int] : (~$less(length2(int,t2tb2(X26)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X24),X25,t2tb2(X26)))) & ! [X27 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X18),t2tb(X27))) | ~$less(X27,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X27,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP3(X4))),
% 11.76/2.13 inference(nnf_transformation,[],[f160])).
% 11.76/2.13
% 11.76/2.13 tff(f180,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X1 : map_int_int] : (sP1(X1,X0) & sP2(X1) & ? [X2 : $int,X3 : $int,X4 : array_int] : (~$less(length2(int,t2tb2(X4)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X2),X3,t2tb2(X4)))) & ! [X5 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X1),t2tb(X5))) | ~$less(X5,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP3(X0))),
% 11.76/2.13 inference(rectify,[],[f179])).
% 11.76/2.13
% 11.76/2.13 tff(f181,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X1 : map_int_int] : (sP1(X1,X0) & sP2(X1) & ? [X2 : $int,X3 : $int,X4 : array_int] : (~$less(length2(int,t2tb2(X4)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X2),X3,t2tb2(X4)))) & ! [X5 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X1),t2tb(X5))) | ~$less(X5,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) => (sP1(sK19(X0),X0) & sP2(sK19(X0)) & ? [X2 : $int,X3 : $int,X4 : array_int] : (~$less(length2(int,t2tb2(X4)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X2),X3,t2tb2(X4)))) & ! [X5 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(sK19(X0)),t2tb(X5))) | ~$less(X5,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f182,plain,(
% 11.76/2.13 ? [X2 : $int,X3 : $int,X4 : array_int] : (~$less(length2(int,t2tb2(X4)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X2),X3,t2tb2(X4)))) => (~$less(length2(int,t2tb2(sK22)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK20),sK21,t2tb2(sK22))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f183,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : ((sP1(sK19(X0),X0) & sP2(sK19(X0)) & (~$less(length2(int,t2tb2(sK22)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK20),sK21,t2tb2(sK22)))) & ! [X5 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(sK19(X0)),t2tb(X5))) | ~$less(X5,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP3(X0))),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f180,f182,f181])).
% 11.76/2.13
% 11.76/2.13 tff(f184,plain,(
% 11.76/2.13 ! [X18 : map_int_int] : (? [X19 : $int,X20 : $int,X21 : array_int] : (? [X22 : $int,X23 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X18 & length2(int,data(int,make3(int,10,t2tb(0)))) = X22 & tb2t2(mk_array1(int,X22,t2tb1(X23))) = X21) & length3(int,make3(int,10,t2tb(0))) = X20 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X19 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X19),X20,t2tb2(X21)))) | ~sP2(X18))),
% 11.76/2.13 inference(nnf_transformation,[],[f159])).
% 11.76/2.13
% 11.76/2.13 tff(f185,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X1 : $int,X2 : $int,X3 : array_int] : (? [X4 : $int,X5 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) | ~sP2(X0))),
% 11.76/2.13 inference(rectify,[],[f184])).
% 11.76/2.13
% 11.76/2.13 tff(f186,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X1 : $int,X2 : $int,X3 : array_int] : (? [X4 : $int,X5 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = X3) & length3(int,make3(int,10,t2tb(0))) = X2 & tb2t(dummy(int,make3(int,10,t2tb(0)))) = X1 & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X1),X2,t2tb2(X3)))) => (? [X5 : map_int_int,X4 : $int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = sK25(X0)) & length3(int,make3(int,10,t2tb(0))) = sK24(X0) & tb2t(dummy(int,make3(int,10,t2tb(0)))) = sK23(X0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK23(X0)),sK24(X0),t2tb2(sK25(X0))))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f187,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (? [X5 : map_int_int,X4 : $int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = X4 & tb2t2(mk_array1(int,X4,t2tb1(X5))) = sK25(X0)) => (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = sK26(X0) & sK25(X0) = tb2t2(mk_array1(int,sK26(X0),t2tb1(sK27(X0))))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f188,plain,(
% 11.76/2.13 ! [X0 : map_int_int] : (((tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 & length2(int,data(int,make3(int,10,t2tb(0)))) = sK26(X0) & sK25(X0) = tb2t2(mk_array1(int,sK26(X0),t2tb1(sK27(X0))))) & length3(int,make3(int,10,t2tb(0))) = sK24(X0) & tb2t(dummy(int,make3(int,10,t2tb(0)))) = sK23(X0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK23(X0)),sK24(X0),t2tb2(sK25(X0))))) | ~sP2(X0))),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27])],[f185,f187,f186])).
% 11.76/2.13
% 11.76/2.13 tff(f189,plain,(
% 11.76/2.13 ! [X18 : map_int_int,X4 : map_int_int] : (? [X28 : $int,X29 : map_int_int,X30 : $int] : ((42 != tb2t(get(int,int,t2tb1(X18),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(X29),t2tb(10))) | ~$less(10,X30) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(X29),t2tb(0))) | 20 != X30) & ! [X31 : $int] : (((tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X18),t2tb($sum(X31,$uminus(length3(int,make3(int,10,t2tb(0)))))))) | $less(X31,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X29),t2tb(X31))) = tb2t(get(int,int,t2tb1(X4),t2tb(X31))) | ~$less(X31,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X31,X30) | $less(X31,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X30 & sP0(X28) & ! [X35 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X29),t2tb(X35))) | ~$less(X35,X28) | $less(X35,X30)) & ~$less(X28,X30) & ~$less(X30,0)) | ~sP1(X18,X4))),
% 11.76/2.13 inference(nnf_transformation,[],[f158])).
% 11.76/2.13
% 11.76/2.13 tff(f190,plain,(
% 11.76/2.13 ! [X0 : map_int_int,X1 : map_int_int] : (? [X2 : $int,X3 : map_int_int,X4 : $int] : ((42 != tb2t(get(int,int,t2tb1(X0),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(X3),t2tb(10))) | ~$less(10,X4) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(X3),t2tb(0))) | 20 != X4) & ! [X5 : $int] : (((tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = tb2t(get(int,int,t2tb1(X0),t2tb($sum(X5,$uminus(length3(int,make3(int,10,t2tb(0)))))))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X1),t2tb(X5))) = tb2t(get(int,int,t2tb1(X3),t2tb(X5))) | ~$less(X5,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X5,X4) | $less(X5,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X4 & sP0(X2) & ! [X6 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X3),t2tb(X6))) | ~$less(X6,X2) | $less(X6,X4)) & ~$less(X2,X4) & ~$less(X4,0)) | ~sP1(X0,X1))),
% 11.76/2.13 inference(rectify,[],[f189])).
% 11.76/2.13
% 11.76/2.13 tff(f191,plain,(
% 11.76/2.13 ! [X0 : map_int_int,X1 : map_int_int] : (? [X2 : $int,X3 : map_int_int,X4 : $int] : ((42 != tb2t(get(int,int,t2tb1(X0),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(X3),t2tb(10))) | ~$less(10,X4) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(X3),t2tb(0))) | 20 != X4) & ! [X5 : $int] : (((tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = tb2t(get(int,int,t2tb1(X0),t2tb($sum(X5,$uminus(length3(int,make3(int,10,t2tb(0)))))))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X1),t2tb(X5))) = tb2t(get(int,int,t2tb1(X3),t2tb(X5))) | ~$less(X5,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X5,X4) | $less(X5,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = X4 & sP0(X2) & ! [X6 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(X3),t2tb(X6))) | ~$less(X6,X2) | $less(X6,X4)) & ~$less(X2,X4) & ~$less(X4,0)) => ((42 != tb2t(get(int,int,t2tb1(X0),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(10))) | ~$less(10,sK30(X0,X1)) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(0))) | 20 != sK30(X0,X1)) & ! [X5 : $int] : (((tb2t(get(int,int,t2tb1(X0),t2tb($sum(X5,$uminus(length3(int,make3(int,10,t2tb(0)))))))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X1),t2tb(X5))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | ~$less(X5,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X5,sK30(X0,X1)) | $less(X5,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = sK30(X0,X1) & sP0(sK28(X0,X1)) & ! [X6 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X6))) | ~$less(X6,sK28(X0,X1)) | $less(X6,sK30(X0,X1))) & ~$less(sK28(X0,X1),sK30(X0,X1)) & ~$less(sK30(X0,X1),0)))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f192,plain,(
% 11.76/2.13 ! [X0 : map_int_int,X1 : map_int_int] : (((42 != tb2t(get(int,int,t2tb1(X0),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(10))) | ~$less(10,sK30(X0,X1)) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(0))) | 20 != sK30(X0,X1)) & ! [X5 : $int] : (((tb2t(get(int,int,t2tb1(X0),t2tb($sum(X5,$uminus(length3(int,make3(int,10,t2tb(0)))))))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | $less(X5,length3(int,make3(int,10,t2tb(0))))) & (tb2t(get(int,int,t2tb1(X1),t2tb(X5))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | ~$less(X5,length3(int,make3(int,10,t2tb(0)))))) | ~$less(X5,sK30(X0,X1)) | $less(X5,0)) & $sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = sK30(X0,X1) & sP0(sK28(X0,X1)) & ! [X6 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X6))) | ~$less(X6,sK28(X0,X1)) | $less(X6,sK30(X0,X1))) & ~$less(sK28(X0,X1),sK30(X0,X1)) & ~$less(sK30(X0,X1),0)) | ~sP1(X0,X1))),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30])],[f190,f191])).
% 11.76/2.13
% 11.76/2.13 tff(f197,plain,(
% 11.76/2.13 ? [X0 : $int,X1 : $int,X2 : array_int] : (~$less(length2(int,t2tb2(X2)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(X0),X1,t2tb2(X2)))) => (~$less(length2(int,t2tb2(sK36)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK34),sK35,t2tb2(sK36))))),
% 11.76/2.13 introduced(choice_axiom,[])).
% 11.76/2.13
% 11.76/2.13 tff(f198,plain,(
% 11.76/2.13 (sP6 & (~$less(length2(int,t2tb2(sK36)),0) & tb2t3(make3(int,10,t2tb(0))) = tb2t3(mk_rarray1(int,t2tb(sK34),sK35,t2tb2(sK36)))) & ! [X3 : $int] : (tb2t(dummy(int,make3(int,10,t2tb(0)))) = tb2t(get(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(X3))) | ~$less(X3,length2(int,data(int,make3(int,10,t2tb(0))))) | $less(X3,length3(int,make3(int,10,t2tb(0))))) & ~$less(length2(int,data(int,make3(int,10,t2tb(0)))),length3(int,make3(int,10,t2tb(0)))) & ~$less(length3(int,make3(int,10,t2tb(0))),0)) | $less(10,0)),
% 11.76/2.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36])],[f164,f197])).
% 11.76/2.13
% 11.76/2.13 tff(f221,plain,(
% 11.76/2.13 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f149])).
% 11.76/2.13
% 11.76/2.13 tff(f231,plain,(
% 11.76/2.13 ( ! [X0 : $int] : (sort1(int,t2tb(X0))) )),
% 11.76/2.13 inference(cnf_transformation,[],[f115])).
% 11.76/2.13
% 11.76/2.13 tff(f232,plain,(
% 11.76/2.13 ( ! [X0 : $int] : (tb2t(t2tb(X0)) = X0) )),
% 11.76/2.13 inference(cnf_transformation,[],[f116])).
% 11.76/2.13
% 11.76/2.13 tff(f233,plain,(
% 11.76/2.13 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )),
% 11.76/2.13 inference(cnf_transformation,[],[f117])).
% 11.76/2.13
% 11.76/2.13 tff(f238,plain,(
% 11.76/2.13 ( ! [X2 : uni,X0 : ty,X1 : $int] : (make2(X0,X1,X2) = mk_array1(X0,X1,const(X0,int,X2))) )),
% 11.76/2.13 inference(cnf_transformation,[],[f120])).
% 11.76/2.13
% 11.76/2.13 tff(f242,plain,(
% 11.76/2.13 ( ! [X2 : $int,X3 : uni,X0 : ty,X1 : uni] : (length3(X0,mk_rarray1(X0,X1,X2,X3)) = X2) )),
% 11.76/2.13 inference(cnf_transformation,[],[f122])).
% 11.76/2.13
% 11.76/2.13 tff(f244,plain,(
% 11.76/2.13 ( ! [X2 : $int,X3 : uni,X0 : ty,X1 : uni] : (data(X0,mk_rarray1(X0,X1,X2,X3)) = X3) )),
% 11.76/2.13 inference(cnf_transformation,[],[f123])).
% 11.76/2.13
% 11.76/2.13 tff(f251,plain,(
% 11.76/2.13 ( ! [X2 : uni,X0 : ty,X1 : $int] : (make3(X0,X1,X2) = mk_rarray1(X0,X2,X1,make2(X0,X1,X2))) )),
% 11.76/2.13 inference(cnf_transformation,[],[f127])).
% 11.76/2.13
% 11.76/2.13 tff(f254,plain,(
% 11.76/2.13 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )),
% 11.76/2.13 inference(cnf_transformation,[],[f130])).
% 11.76/2.13
% 11.76/2.13 tff(f266,plain,(
% 11.76/2.13 sP4(sK7) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(cnf_transformation,[],[f169])).
% 11.76/2.13
% 11.76/2.13 tff(f267,plain,(
% 11.76/2.13 sP5(sK7) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(cnf_transformation,[],[f169])).
% 11.76/2.13
% 11.76/2.13 tff(f273,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (sP3(X0) | $less(10,0) | ~sP5(X0)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f173])).
% 11.76/2.13
% 11.76/2.13 tff(f279,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(17))) = X0 | ~sP4(X0)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f178])).
% 11.76/2.13
% 11.76/2.13 tff(f285,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (sP2(sK19(X0)) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP3(X0)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f183])).
% 11.76/2.13
% 11.76/2.13 tff(f286,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (sP1(sK19(X0),X0) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | ~sP3(X0)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f183])).
% 11.76/2.13
% 11.76/2.13 tff(f292,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,make3(int,10,t2tb(0)))),t2tb(0),t2tb(42))) = X0 | ~sP2(X0)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f188])).
% 11.76/2.13
% 11.76/2.13 tff(f297,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int] : ($sum(length3(int,make3(int,10,t2tb(0))),length3(int,make3(int,10,t2tb(0)))) = sK30(X0,X1) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f192])).
% 11.76/2.13
% 11.76/2.13 tff(f298,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int,X5 : $int] : (tb2t(get(int,int,t2tb1(X1),t2tb(X5))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | ~$less(X5,length3(int,make3(int,10,t2tb(0)))) | ~$less(X5,sK30(X0,X1)) | $less(X5,0) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f192])).
% 11.76/2.13
% 11.76/2.13 tff(f299,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int,X5 : $int] : (tb2t(get(int,int,t2tb1(X0),t2tb($sum(X5,$uminus(length3(int,make3(int,10,t2tb(0)))))))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | $less(X5,length3(int,make3(int,10,t2tb(0)))) | ~$less(X5,sK30(X0,X1)) | $less(X5,0) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f192])).
% 11.76/2.13
% 11.76/2.13 tff(f300,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int] : (42 != tb2t(get(int,int,t2tb1(X0),t2tb(0))) | ~$less(0,length3(int,make3(int,10,t2tb(0)))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(10))) | ~$less(10,sK30(X0,X1)) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(0))) | 20 != sK30(X0,X1) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(cnf_transformation,[],[f192])).
% 11.76/2.13
% 11.76/2.13 tff(f308,plain,(
% 11.76/2.13 sP6 | $less(10,0)),
% 11.76/2.13 inference(cnf_transformation,[],[f198])).
% 11.76/2.13
% 11.76/2.13 tff(f311,plain,(
% 11.76/2.13 ( ! [X2 : uni,X0 : ty,X1 : $int] : (make3(X0,X1,X2) = mk_rarray1(X0,X2,X1,mk_array1(X0,X1,const(X0,int,X2)))) )),
% 11.76/2.13 inference(definition_unfolding,[],[f251,f238])).
% 11.76/2.13
% 11.76/2.13 tff(f318,plain,(
% 11.76/2.13 sP5(sK7) | ~$less(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(definition_unfolding,[],[f267,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f319,plain,(
% 11.76/2.13 sP4(sK7) | ~$less(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | $less(0,0) | ~sP6),
% 11.76/2.13 inference(definition_unfolding,[],[f266,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f329,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))),t2tb(0),t2tb(17))) = X0 | ~sP4(X0)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f279,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f334,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (sP1(sK19(X0),X0) | ~$less(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | $less(0,0) | ~sP3(X0)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f286,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f335,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (sP2(sK19(X0)) | ~$less(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | $less(0,0) | ~sP3(X0)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f285,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f341,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int] : (tb2t1(set(int,int,elts(int,data(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))),t2tb(0),t2tb(42))) = X0 | ~sP2(X0)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f292,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f346,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int] : (42 != tb2t(get(int,int,t2tb1(X0),t2tb(0))) | ~$less(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | $less(0,0) | 42 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(10))) | ~$less(10,sK30(X0,X1)) | $less(10,0) | 17 != tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(0))) | 20 != sK30(X0,X1) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f300,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f347,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int,X5 : $int] : (tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) = tb2t(get(int,int,t2tb1(X0),t2tb($sum(X5,$uminus(length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))))))) | $less(X5,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | ~$less(X5,sK30(X0,X1)) | $less(X5,0) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f299,f311,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f348,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int,X5 : $int] : (tb2t(get(int,int,t2tb1(X1),t2tb(X5))) = tb2t(get(int,int,t2tb1(sK29(X0,X1)),t2tb(X5))) | ~$less(X5,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | ~$less(X5,sK30(X0,X1)) | $less(X5,0) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f298,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f349,plain,(
% 11.76/2.13 ( ! [X0 : map_int_int,X1 : map_int_int] : (sK30(X0,X1) = $sum(length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))),length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) | ~sP1(X0,X1)) )),
% 11.76/2.13 inference(definition_unfolding,[],[f297,f311,f311])).
% 11.76/2.13
% 11.76/2.13 tff(f357,plain,(
% 11.76/2.13 ( ! [X2 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X4,X5),X4) = X5 | ~sort1(X1,X5)) )),
% 11.76/2.13 inference(equality_resolution,[],[f221])).
% 11.76/2.13
% 11.76/2.13 cnf(c_54,negated_conjecture,
% 11.76/2.13 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 11.76/2.13 inference(cnf_transformation,[],[f85])).
% 11.76/2.13
% 11.76/2.13 cnf(c_55,negated_conjecture,
% 11.76/2.13 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 11.76/2.13 inference(cnf_transformation,[],[f84])).
% 11.76/2.13
% 11.76/2.13 cnf(c_60,plain,
% 11.76/2.13 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 11.76/2.13 inference(cnf_transformation,[],[f79])).
% 11.76/2.13
% 11.76/2.13 cnf(c_61,negated_conjecture,
% 11.76/2.13 (~$less_int(X0_3,X0_3)),
% 11.76/2.13 inference(cnf_transformation,[],[f78])).
% 11.76/2.13
% 11.76/2.13 cnf(c_65,negated_conjecture,
% 11.76/2.13 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 11.76/2.13 inference(cnf_transformation,[],[f74])).
% 11.76/2.13
% 11.76/2.13 cnf(c_66,negated_conjecture,
% 11.76/2.13 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 11.76/2.13 inference(cnf_transformation,[],[f73])).
% 11.76/2.13
% 11.76/2.13 cnf(c_89,plain,
% 11.76/2.13 (~sort1(X0_14,X0_13)|get(X0_14,X1_14,set(X0_14,X1_14,X1_13,X2_13,X0_13),X2_13) = X0_13),
% 11.76/2.13 inference(cnf_transformation,[],[f357])).
% 11.76/2.13
% 11.76/2.13 cnf(c_99,negated_conjecture,
% 11.76/2.13 (sort1(int,t2tb(X0_3))),
% 11.76/2.13 inference(cnf_transformation,[],[f231])).
% 11.76/2.13
% 11.76/2.13 cnf(c_100,negated_conjecture,
% 11.76/2.13 (tb2t(t2tb(X0_3)) = X0_3),
% 11.76/2.13 inference(cnf_transformation,[],[f232])).
% 11.76/2.13
% 11.76/2.13 cnf(c_101,negated_conjecture,
% 11.76/2.13 (t2tb(tb2t(X0_13)) = X0_13),
% 11.76/2.13 inference(cnf_transformation,[],[f233])).
% 11.76/2.13
% 11.76/2.13 cnf(c_107,negated_conjecture,
% 11.76/2.13 (length3(X0_14,mk_rarray1(X0_14,X0_13,X0_3,X1_13)) = X0_3),
% 11.76/2.13 inference(cnf_transformation,[],[f242])).
% 11.76/2.13
% 11.76/2.13 cnf(c_109,negated_conjecture,
% 11.76/2.13 (data(X0_14,mk_rarray1(X0_14,X0_13,X0_3,X1_13)) = X1_13),
% 11.76/2.13 inference(cnf_transformation,[],[f244])).
% 11.76/2.13
% 11.76/2.13 cnf(c_116,negated_conjecture,
% 11.76/2.13 (t2tb1(tb2t1(X0_13)) = X0_13),
% 11.76/2.13 inference(cnf_transformation,[],[f254])).
% 11.76/2.13
% 11.76/2.13 cnf(c_123,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP6|$less_int(0,0)|sP5(sK7)),
% 11.76/2.13 inference(cnf_transformation,[],[f318])).
% 11.76/2.13
% 11.76/2.13 cnf(c_124,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP6|$less_int(0,0)|sP4(sK7)),
% 11.76/2.13 inference(cnf_transformation,[],[f319])).
% 11.76/2.13
% 11.76/2.13 cnf(c_130,plain,
% 11.76/2.13 (~sP5(X0_17)|$less_int(10,0)|sP3(X0_17)),
% 11.76/2.13 inference(cnf_transformation,[],[f273])).
% 11.76/2.13
% 11.76/2.13 cnf(c_136,plain,
% 11.76/2.13 (~sP4(X0_17)|tb2t1(set(int,int,elts(int,data(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))),t2tb(0),t2tb(17))) = X0_17),
% 11.76/2.13 inference(cnf_transformation,[],[f329])).
% 11.76/2.13
% 11.76/2.13 cnf(c_142,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP3(X0_17)|sP1(sK19(X0_17),X0_17)|$less_int(0,0)),
% 11.76/2.13 inference(cnf_transformation,[],[f334])).
% 11.76/2.13
% 11.76/2.13 cnf(c_143,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP3(X0_17)|sP2(sK19(X0_17))|$less_int(0,0)),
% 11.76/2.13 inference(cnf_transformation,[],[f335])).
% 11.76/2.13
% 11.76/2.13 cnf(c_149,plain,
% 11.76/2.13 (~sP2(X0_17)|tb2t1(set(int,int,elts(int,data(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))),t2tb(0),t2tb(42))) = X0_17),
% 11.76/2.13 inference(cnf_transformation,[],[f341])).
% 11.76/2.13
% 11.76/2.13 cnf(c_155,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(X0_17),t2tb(0))) != 42|sK30(X0_17,X1_17) != 20|
% 11.76/2.13 ~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~$less_int(10,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|$less_int(0,0)|
% 11.76/2.13 $less_int(10,0)),
% 11.76/2.13 inference(cnf_transformation,[],[f346])).
% 11.76/2.13
% 11.76/2.13 cnf(c_156,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|tb2t(get(int,int,t2tb1(X0_17),t2tb($sum_int(X0_3,$uminus_int(length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))))))) = tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(cnf_transformation,[],[f347])).
% 11.76/2.13
% 11.76/2.13 cnf(c_157,plain,
% 11.76/2.13 (~$less_int(X0_3,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~$less_int(X0_3,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(X1_17),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(cnf_transformation,[],[f348])).
% 11.76/2.13
% 11.76/2.13 cnf(c_158,plain,
% 11.76/2.13 (~sP1(X0_17,X1_17)|$sum_int(length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))),length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) = sK30(X0_17,X1_17)),
% 11.76/2.13 inference(cnf_transformation,[],[f349])).
% 11.76/2.13
% 11.76/2.13 cnf(c_165,negated_conjecture,
% 11.76/2.13 ($less_int(10,0)|sP6),
% 11.76/2.13 inference(cnf_transformation,[],[f308])).
% 11.76/2.13
% 11.76/2.13 cnf(c_171,plain,($less_int(0,1)),theory(arith)).
% 11.76/2.13
% 11.76/2.13 cnf(c_172,plain,($less_int(1,10)),theory(arith)).
% 11.76/2.13
% 11.76/2.13 cnf(c_173,plain,($less_int(10,17)),theory(arith)).
% 11.76/2.13
% 11.76/2.13 cnf(c_174,plain,($less_int(17,20)),theory(arith)).
% 11.76/2.13
% 11.76/2.13 cnf(c_179,plain,
% 11.76/2.13 (~$less_int(0,0)),
% 11.76/2.13 inference(instantiation,[status(thm)],[c_61])).
% 11.76/2.13
% 11.76/2.13 cnf(c_275,plain,
% 11.76/2.13 (~sP6|~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 sP4(sK7)),
% 11.76/2.13 inference(global_subsumption_just,[status(thm)],[c_124,c_179,c_124])).
% 11.76/2.13
% 11.76/2.13 cnf(c_276,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP6|sP4(sK7)),
% 11.76/2.13 inference(renaming,[status(thm)],[c_275])).
% 11.76/2.13
% 11.76/2.13 cnf(c_277,plain,
% 11.76/2.13 (~sP6|~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 sP5(sK7)),
% 11.76/2.13 inference(global_subsumption_just,[status(thm)],[c_123,c_179,c_123])).
% 11.76/2.13
% 11.76/2.13 cnf(c_278,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP6|sP5(sK7)),
% 11.76/2.13 inference(renaming,[status(thm)],[c_277])).
% 11.76/2.13
% 11.76/2.13 cnf(c_279,plain,
% 11.76/2.13 (sP2(sK19(X0_17))|~sP3(X0_17)|~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))),
% 11.76/2.13 inference(global_subsumption_just,[status(thm)],[c_143,c_179,c_143])).
% 11.76/2.13
% 11.76/2.13 cnf(c_280,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP3(X0_17)|sP2(sK19(X0_17))),
% 11.76/2.13 inference(renaming,[status(thm)],[c_279])).
% 11.76/2.13
% 11.76/2.13 cnf(c_282,plain,
% 11.76/2.13 (sP1(sK19(X0_17),X0_17)|~sP3(X0_17)|~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))),
% 11.76/2.13 inference(global_subsumption_just,[status(thm)],[c_142,c_179,c_142])).
% 11.76/2.13
% 11.76/2.13 cnf(c_283,plain,
% 11.76/2.13 (~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~sP3(X0_17)|sP1(sK19(X0_17),X0_17)),
% 11.76/2.13 inference(renaming,[status(thm)],[c_282])).
% 11.76/2.13
% 11.76/2.13 cnf(c_307,plain,
% 11.76/2.13 (~sP1(X0_17,X1_17)|~$less_int(10,sK30(X0_17,X1_17))|~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 sK30(X0_17,X1_17) != 20|tb2t(get(int,int,t2tb1(X0_17),t2tb(0))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(10))) != 42|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(0))) != 17|
% 11.76/2.13 $less_int(10,0)),
% 11.76/2.13 inference(global_subsumption_just,[status(thm)],[c_155,c_179,c_155])).
% 11.76/2.13
% 11.76/2.13 cnf(c_308,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(X0_17),t2tb(0))) != 42|sK30(X0_17,X1_17) != 20|
% 11.76/2.13 ~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~$less_int(10,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|$less_int(10,0)),
% 11.76/2.13 inference(renaming,[status(thm)],[c_307])).
% 11.76/2.13
% 11.76/2.13 cnf(c_348,plain,
% 11.76/2.13 (sP6|$less_int(10,0)),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_165])).
% 11.76/2.13
% 11.76/2.13 cnf(c_349,plain,
% 11.76/2.13 ($less_int(10,0)|sP6),
% 11.76/2.13 inference(renaming,[status(thm)],[c_348])).
% 11.76/2.13
% 11.76/2.13 cnf(c_354,plain,
% 11.76/2.13 (~sP4(X0_17)|tb2t1(set(int,int,elts(int,data(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))),t2tb(0),t2tb(17))) = X0_17),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_136])).
% 11.76/2.13
% 11.76/2.13 cnf(c_366,plain,
% 11.76/2.13 (~sP2(X0_17)|tb2t1(set(int,int,elts(int,data(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))),t2tb(0),t2tb(42))) = X0_17),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_149])).
% 11.76/2.13
% 11.76/2.13 cnf(c_378,plain,
% 11.76/2.13 (~sP1(X0_17,X1_17)|$sum_int(length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))),length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) = sK30(X0_17,X1_17)),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_158])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1087,plain,
% 11.76/2.13 (sP6),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_349])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1095,plain,
% 11.76/2.13 (~sP5(X0_17)|sP3(X0_17)),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_130])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1217,plain,
% 11.76/2.13 (~$less_int(0,10)|~sP6|sP5(sK7)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_278,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1218,plain,
% 11.76/2.13 (~$less_int(0,10)|sP5(sK7)),
% 11.76/2.13 inference(forward_subsumption_resolution,[status(thm)],[c_1217,c_1087])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1223,plain,
% 11.76/2.13 (~$less_int(0,10)|~sP6|sP4(sK7)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_276,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1224,plain,
% 11.76/2.13 (~$less_int(0,10)|sP4(sK7)),
% 11.76/2.13 inference(forward_subsumption_resolution,[status(thm)],[c_1223,c_1087])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1247,plain,
% 11.76/2.13 (~$less_int(0,10)|~sP3(X0_17)|sP2(sK19(X0_17))),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_280,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1264,plain,
% 11.76/2.13 (~$less_int(0,10)|~sP3(X0_17)|sP1(sK19(X0_17),X0_17)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_283,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1310,plain,
% 11.76/2.13 (~sP2(X0_17)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))) = X0_17),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_366,c_109])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1315,plain,
% 11.76/2.13 (~sP4(X0_17)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(17))) = X0_17),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_354,c_109])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1324,plain,
% 11.76/2.13 (~sP1(X0_17,X1_17)|$product_int(2,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0)))))) = sK30(X0_17,X1_17)),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_378])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1325,plain,
% 11.76/2.13 (~sP1(X0_17,X1_17)|$product_int(length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))),2) = sK30(X0_17,X1_17)),
% 11.76/2.13 inference(theory_normalisation,
% 11.76/2.13 [status(thm)],
% 11.76/2.13 [c_1324,c_65,c_66,c_54,c_55])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1326,plain,
% 11.76/2.13 (~sP1(X0_17,X1_17)|sK30(X0_17,X1_17) = $product_int(10,2)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_1325,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1352,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|~$less_int(X0_3,10)|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(X1_17),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_157,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1365,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|tb2t(get(int,int,t2tb1(X0_17),t2tb($sum_int(X0_3,$uminus_int(10))))) = tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)|$less_int(X0_3,10)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_156,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1376,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(X0_17),t2tb(0))) != 42|sK30(X0_17,X1_17) != 20|
% 11.76/2.13 ~$less_int(0,length3(int,mk_rarray1(int,t2tb(0),10,mk_array1(int,10,const(int,int,t2tb(0))))))|
% 11.76/2.13 ~$less_int(10,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_308])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1377,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(X0_17),t2tb(0))) != 42|sK30(X0_17,X1_17) != 20|
% 11.76/2.13 ~$less_int(10,sK30(X0_17,X1_17))|~sP1(X0_17,X1_17)|~$less_int(0,10)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_1376,c_107])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1495,plain,
% 11.76/2.13 (X0_17 != sK7|~$less_int(0,10)|sP3(X0_17)),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1218,c_1095])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1496,plain,
% 11.76/2.13 (~$less_int(0,10)|sP3(sK7)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1495])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1525,plain,
% 11.76/2.13 (X0_17 != sK7|~$less_int(0,10)|sP1(sK19(X0_17),X0_17)),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1264,c_1496])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1526,plain,
% 11.76/2.13 (~$less_int(0,10)|sP1(sK19(sK7),sK7)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1525])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1533,plain,
% 11.76/2.13 (X0_17 != sK7|~$less_int(0,10)|sP2(sK19(X0_17))),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1247,c_1496])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1534,plain,
% 11.76/2.13 (~$less_int(0,10)|sP2(sK19(sK7))),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1533])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1549,plain,
% 11.76/2.13 (sK19(sK7) != X0_17|~$less_int(0,10)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))) = X0_17),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1310,c_1534])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1550,plain,
% 11.76/2.13 (~$less_int(0,10)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))) = sK19(sK7)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1549])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1609,plain,
% 11.76/2.13 (X0_17 != sK7|~$less_int(0,10)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(17))) = X0_17),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1224,c_1315])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1610,plain,
% 11.76/2.13 (~$less_int(0,10)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(17))) = sK7),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1609])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1669,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(X0_17),t2tb(0))) != 42|sK30(X0_17,X1_17) != 20|
% 11.76/2.13 sK19(sK7) != X0_17|X1_17 != sK7|~$less_int(10,sK30(X0_17,X1_17))|
% 11.76/2.13 ~$less_int(0,10)),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1377,c_1526])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1670,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK19(sK7)),t2tb(0))) != 42|sK30(sK19(sK7),sK7) != 20|
% 11.76/2.13 ~$less_int(10,sK30(sK19(sK7),sK7))|~$less_int(0,10)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1669])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1689,plain,
% 11.76/2.13 (sK19(sK7) != X0_17|X1_17 != sK7|~$less_int(X0_3,sK30(X0_17,X1_17))|
% 11.76/2.13 ~$less_int(0,10)|tb2t(get(int,int,t2tb1(X0_17),t2tb($sum_int(X0_3,$uminus_int(10))))) = tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)|$less_int(X0_3,10)),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1365,c_1526])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1690,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(sK19(sK7),sK7))|~$less_int(0,10)|tb2t(get(int,int,t2tb1(sK19(sK7)),t2tb($sum_int(X0_3,$uminus_int(10))))) = tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)|$less_int(X0_3,10)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1689])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1701,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(sK19(sK7),sK7))|~$less_int(0,10)|tb2t(get(int,int,t2tb1(sK19(sK7)),t2tb($sum_int(X0_3,$uminus_int(10))))) = tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,10)),
% 11.76/2.13 inference(forward_subsumption_resolution,[status(thm)],[c_1690,c_60])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1706,plain,
% 11.76/2.13 (sK19(sK7) != X0_17|X1_17 != sK7|~$less_int(X0_3,sK30(X0_17,X1_17))|
% 11.76/2.13 ~$less_int(X0_3,10)|~$less_int(0,10)|tb2t(get(int,int,t2tb1(sK29(X0_17,X1_17)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(X1_17),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1352,c_1526])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1707,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(sK19(sK7),sK7))|~$less_int(X0_3,10)|~$less_int(0,10)|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1706])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1724,plain,
% 11.76/2.13 (sK19(sK7) != X0_17|X1_17 != sK7|~$less_int(0,10)|sK30(X0_17,X1_17) = $product_int(10,2)),
% 11.76/2.13 inference(resolution_lifted,[status(thm)],[c_1326,c_1526])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1725,plain,
% 11.76/2.13 (~$less_int(0,10)|sK30(sK19(sK7),sK7) = $product_int(10,2)),
% 11.76/2.13 inference(unflattening,[status(thm)],[c_1724])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1922,plain,
% 11.76/2.13 (~$less_int(0,10)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(17))) = sK7),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_1610])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1924,plain,
% 11.76/2.13 (~$less_int(0,10)|tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))) = sK19(sK7)),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_1550])).
% 11.76/2.13
% 11.76/2.13 cnf(c_1936,plain,
% 11.76/2.13 (~$less_int(0,10)|sK30(sK19(sK7),sK7) = $product_int(10,2)),
% 11.76/2.13 inference(prop_impl_just,[status(thm)],[c_1725])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2504,plain,
% 11.76/2.13 (sK30(sK19(sK7),sK7) = 20),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_1936])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2505,plain,
% 11.76/2.13 ($less_int(17,sK30(sK19(sK7),sK7))),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_174,c_2504])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2541,plain,
% 11.76/2.13 (tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(17))) = sK7),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_1922])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2543,plain,
% 11.76/2.13 (tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))) = sK19(sK7)),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_1924])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2547,plain,
% 11.76/2.13 ($less_int(17,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_2505,c_2543])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2549,plain,
% 11.76/2.13 (sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7) = 20),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_2504,c_2543])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2571,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(sK19(sK7),sK7))|~$less_int(X0_3,10)|tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_1707])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2572,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))|
% 11.76/2.13 ~$less_int(X0_3,10)|tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(light_normalisation,[status(thm)],[c_2571,c_2543])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2581,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(sK19(sK7),sK7))|tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(sK19(sK7)),t2tb($sum_int(-10,X0_3))))|
% 11.76/2.13 $less_int(X0_3,10)),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_1701])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2582,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)))),t2tb($sum_int(-10,X0_3))))|
% 11.76/2.13 $less_int(X0_3,10)),
% 11.76/2.13 inference(light_normalisation,[status(thm)],[c_2581,c_2543])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2583,plain,
% 11.76/2.13 (~$less_int(X0_3,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(X0_3))) = tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb($sum_int(-10,X0_3))))|
% 11.76/2.13 $less_int(X0_3,10)),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_2582,c_116])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2600,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(0))) != 17|tb2t(get(int,int,t2tb1(sK29(sK19(sK7),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK19(sK7)),t2tb(0))) != 42|sK30(sK19(sK7),sK7) != 20|
% 11.76/2.13 ~$less_int(10,sK30(sK19(sK7),sK7))),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_1670])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2601,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)))),t2tb(0))) != 42|
% 11.76/2.13 sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7) != sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)|
% 11.76/2.13 ~$less_int(10,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(light_normalisation,[status(thm)],[c_2600,c_2543,c_2549])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2602,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)))),t2tb(0))) != 42|
% 11.76/2.13 ~$less_int(10,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(equality_resolution_simp,[status(thm)],[c_2601])).
% 11.76/2.13
% 11.76/2.13 cnf(c_2603,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb(0))) != 42|
% 11.76/2.13 ~$less_int(10,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_2602,c_116])).
% 11.76/2.13
% 11.76/2.13 cnf(c_4770,plain,
% 11.76/2.13 (~$less_int(X0_3,10)|$less_int(X0_3,17)),
% 11.76/2.13 inference(resolution,[status(thm)],[c_60,c_173])).
% 11.76/2.13
% 11.76/2.13 cnf(c_6529,plain,
% 11.76/2.13 (~$less_int(17,X0_3)|$less_int(10,X0_3)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_173,c_60])).
% 11.76/2.13
% 11.76/2.13 cnf(c_6931,plain,
% 11.76/2.13 ($less_int(10,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(superposition,[status(thm)],[c_2547,c_6529])).
% 11.76/2.13
% 11.76/2.13 cnf(c_7803,plain,
% 11.76/2.13 (~$less_int(1,X0_3)|$less_int(0,X0_3)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_171,c_60])).
% 11.76/2.13
% 11.76/2.13 cnf(c_7805,plain,
% 11.76/2.13 (~$less_int(17,X0_3)|$less_int(10,X0_3)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_173,c_60])).
% 11.76/2.13
% 11.76/2.13 cnf(c_8322,plain,
% 11.76/2.13 (tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb(0))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17),
% 11.76/2.13 inference(global_subsumption_just,[status(thm)],[c_2603,c_2603,c_6931])).
% 11.76/2.13
% 11.76/2.13 cnf(c_8323,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb(0))) != 42),
% 11.76/2.13 inference(renaming,[status(thm)],[c_8322])).
% 11.76/2.13
% 11.76/2.13 cnf(c_8419,plain,
% 11.76/2.13 ($less_int(0,10)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_172,c_7803])).
% 11.76/2.13
% 11.76/2.13 cnf(c_8428,plain,
% 11.76/2.13 ($less_int(10,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(superposition,[status(thm)],[c_2547,c_7805])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10512,plain,
% 11.76/2.13 (~$less_int(X0_3,17)|$less_int(X0_3,sK30(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7))),
% 11.76/2.13 inference(resolution,[status(thm)],[c_2547,c_60])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10560,plain,
% 11.76/2.13 (sort1(int,X0_13)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_101,c_99])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10602,plain,
% 11.76/2.13 (get(int,X0_14,set(int,X0_14,X0_13,X1_13,t2tb(X0_3)),X1_13) = t2tb(X0_3)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_99,c_89])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10668,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(t2tb(42)) != 42),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_8323,c_10602])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10672,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) != 17|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42),
% 11.76/2.13 inference(forward_subsumption_resolution,[status(thm)],[c_10668,c_100])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10975,plain,
% 11.76/2.13 (get(int,X0_14,set(int,X0_14,X0_13,X1_13,X2_13),X1_13) = X2_13),
% 11.76/2.13 inference(superposition,[status(thm)],[c_10560,c_89])).
% 11.76/2.13
% 11.76/2.13 cnf(c_10978,plain,
% 11.76/2.13 (set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(17)) = t2tb1(sK7)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_2541,c_116])).
% 11.76/2.13
% 11.76/2.13 cnf(c_11110,plain,
% 11.76/2.13 (~$less_int(X0_3,10)|tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(X0_3))) = tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3)))|
% 11.76/2.13 $less_int(X0_3,0)),
% 11.76/2.13 inference(global_subsumption_just,
% 11.76/2.13 [status(thm)],
% 11.76/2.13 [c_2572,c_2572,c_4770,c_10512])).
% 11.76/2.13
% 11.76/2.13 cnf(c_11119,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) = tb2t(get(int,int,t2tb1(sK7),t2tb(0)))|
% 11.76/2.13 $less_int(0,0)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_8419,c_11110])).
% 11.76/2.13
% 11.76/2.13 cnf(c_11121,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(0))) = tb2t(get(int,int,t2tb1(sK7),t2tb(0)))),
% 11.76/2.13 inference(forward_subsumption_resolution,[status(thm)],[c_11119,c_61])).
% 11.76/2.13
% 11.76/2.13 cnf(c_11176,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42|
% 11.76/2.13 tb2t(get(int,int,t2tb1(sK7),t2tb(0))) != 17),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_10672,c_11121])).
% 11.76/2.13
% 11.76/2.13 cnf(c_12776,plain,
% 11.76/2.13 (get(int,int,t2tb1(sK7),t2tb(0)) = t2tb(17)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_10978,c_10975])).
% 11.76/2.13
% 11.76/2.13 cnf(c_12838,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK7),t2tb(0))) = 17),
% 11.76/2.13 inference(superposition,[status(thm)],[c_12776,c_100])).
% 11.76/2.13
% 11.76/2.13 cnf(c_13076,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) != 42),
% 11.76/2.13 inference(backward_subsumption_resolution,
% 11.76/2.13 [status(thm)],
% 11.76/2.13 [c_11176,c_12838])).
% 11.76/2.13
% 11.76/2.13 cnf(c_20359,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) = tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb($sum_int(-10,10))))|
% 11.76/2.13 $less_int(10,10)),
% 11.76/2.13 inference(superposition,[status(thm)],[c_8428,c_2583])).
% 11.76/2.13
% 11.76/2.13 cnf(c_20374,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) = tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb($sum_int(-10,10))))),
% 11.76/2.13 inference(forward_subsumption_resolution,[status(thm)],[c_20359,c_61])).
% 11.76/2.13
% 11.76/2.13 cnf(c_20375,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) = tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb($sum_int(10,-10))))),
% 11.76/2.13 inference(theory_normalisation,
% 11.76/2.13 [status(thm)],
% 11.76/2.13 [c_20374,c_65,c_66,c_54,c_55])).
% 11.76/2.13
% 11.76/2.13 cnf(c_24552,plain,
% 11.76/2.13 (tb2t(get(int,int,t2tb1(sK29(tb2t1(set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42))),sK7)),t2tb(10))) = tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb(0)))),
% 11.76/2.13 inference(smt_theory_normalisation,[status(thm)],[c_20375])).
% 11.76/2.13
% 11.76/2.13 cnf(c_24554,plain,
% 11.76/2.13 (tb2t(get(int,int,set(int,int,elts(int,mk_array1(int,10,const(int,int,t2tb(0)))),t2tb(0),t2tb(42)),t2tb(0))) != 42),
% 11.76/2.13 inference(superposition,[status(thm)],[c_24552,c_13076])).
% 11.76/2.13
% 11.76/2.13 cnf(c_24567,plain,
% 11.76/2.13 (42 != 42),
% 11.76/2.13 inference(demodulation,[status(thm)],[c_24554,c_100,c_10975])).
% 11.76/2.13
% 11.76/2.13 cnf(c_24568,plain,
% 11.76/2.13 ($false),
% 11.76/2.13 inference(equality_resolution_simp,[status(thm)],[c_24567])).
% 11.76/2.13
% 11.76/2.13
% 11.76/2.13 % SZS output end CNFRefutation for theBenchmark.p
% 11.76/2.13
% 11.76/2.13
%------------------------------------------------------------------------------