TSTP Solution File: SWW631_2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW631_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Mon Jun 24 18:17:52 EDT 2024
% Result : Theorem 31.05s 4.67s
% Output : CNFRefutation 31.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW631_2 : TPTP v8.2.0. Released v6.1.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 05:57:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running TFA theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 31.05/4.67 % SZS status Started for theBenchmark.p
% 31.05/4.67 % SZS status Theorem for theBenchmark.p
% 31.05/4.67
% 31.05/4.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.05/4.67
% 31.05/4.67 ------ iProver source info
% 31.05/4.67
% 31.05/4.67 git: date: 2024-06-12 09:56:46 +0000
% 31.05/4.67 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 31.05/4.67 git: non_committed_changes: false
% 31.05/4.67
% 31.05/4.67 ------ Parsing...
% 31.05/4.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.05/4.67
% 31.05/4.67 ------ Preprocessing... sup_sim: 8 sf_s rm: 4 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 31.05/4.67
% 31.05/4.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.05/4.67
% 31.05/4.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.05/4.67 ------ Proving...
% 31.05/4.67 ------ Problem Properties
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67 clauses 105
% 31.05/4.67 conjectures 21
% 31.05/4.67 EPR 23
% 31.05/4.67 Horn 95
% 31.05/4.67 unary 70
% 31.05/4.67 binary 17
% 31.05/4.67 lits 164
% 31.05/4.67 lits eq 61
% 31.05/4.67 fd_pure 1
% 31.05/4.67 fd_pseudo 0
% 31.05/4.67 fd_cond 2
% 31.05/4.67 fd_pseudo_cond 3
% 31.05/4.67 AC symbols 2
% 31.05/4.67
% 31.05/4.67 ------ Input Options Time Limit: Unbounded
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67 ------
% 31.05/4.67 Current options:
% 31.05/4.67 ------
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67 ------ Proving...
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67 % SZS status Theorem for theBenchmark.p
% 31.05/4.67
% 31.05/4.67 % SZS output start CNFRefutation for theBenchmark.p
% 31.05/4.67
% 31.05/4.67 tff(f27,axiom,(
% 31.05/4.67 ! [X15 : uni] : t2tb(tb2t(X15)) = X15),
% 31.05/4.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)).
% 31.05/4.67
% 31.05/4.67 tff(f34,axiom,(
% 31.05/4.67 ! [X18 : $int] : (($less(X18,n) & $less(0,X18)) => ($less(f(X18),X18) & $lesseq(0,f(X18))))),
% 31.05/4.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_prop)).
% 31.05/4.67
% 31.05/4.67 tff(f42,conjecture,(
% 31.05/4.67 $lesseq(0,n) => ($lesseq(0,n) => (($less(0,n) & $lesseq(0,0)) => ! [X21 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X21 & $lesseq(0,n)) => ($lesseq(0,n) => ($lesseq(0,n) => ($lesseq(1,$difference(n,1)) => ! [X22 : $int,X19 : map_int_int,X23 : map_int_int,X14 : $int] : (($lesseq(X14,$difference(n,1)) & $lesseq(1,X14)) => ((! [X18 : $int] : (($less(X18,X14) & $lesseq(0,X18)) => path(tb2t(get(int,int,t2tb1(X19),t2tb(X18))),X18)) & ! [X18 : $int] : (($less(X18,X14) & $less(0,X18)) => (! [X24 : $int] : (($less(X24,X18) & $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X24)) => $less(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),tb2t(get(int,int,t2tb1(X19),t2tb(X24))))) & tb2t(get(int,int,t2tb1(X19),t2tb(X18))) = $sum(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),1) & $less(0,tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) & $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X18) & $lesseq(f(X18),tb2t(get(int,int,t2tb1(X23),t2tb(X18)))) & $less(tb2t(get(int,int,t2tb1(X23),get(int,int,t2tb1(X23),t2tb(X18)))),f(X18)))) & $lesseq($sum(X22,tb2t(get(int,int,t2tb1(X19),t2tb($difference(X14,1))))),$difference(X14,1)) & $uminus(1) = tb2t(get(int,int,t2tb1(X23),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X19),t2tb(0)))) => ! [X15 : $int,X25 : $int] : ((! [X18 : $int] : (($less(X18,X14) & $less(X15,X18)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X15))),tb2t(get(int,int,t2tb1(X19),t2tb(X18))))) & $lesseq($sum(X25,tb2t(get(int,int,t2tb1(X19),t2tb(X15)))),$difference(X14,1)) & $less(X15,X14) & $lesseq(f(X14),X15)) => (($less(X15,n) & $lesseq(0,X15) & $lesseq(0,n)) => ($lesseq(f(X14),tb2t(get(int,int,t2tb1(X23),t2tb(X15)))) => ! [X26 : $int] : ($sum(X25,1) = X26 => (($less(X15,n) & $lesseq(0,X15)) => ! [X27 : $int] : (tb2t(get(int,int,t2tb1(X23),t2tb(X15))) = X27 => ! [X18 : $int] : (($less(X18,X14) & $less(X27,X18)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))))))))))))))))))),
% 31.05/4.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_distance)).
% 31.05/4.67
% 31.05/4.67 tff(f43,negated_conjecture,(
% 31.05/4.67 ~($lesseq(0,n) => ($lesseq(0,n) => (($less(0,n) & $lesseq(0,0)) => ! [X21 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X21 & $lesseq(0,n)) => ($lesseq(0,n) => ($lesseq(0,n) => ($lesseq(1,$difference(n,1)) => ! [X22 : $int,X19 : map_int_int,X23 : map_int_int,X14 : $int] : (($lesseq(X14,$difference(n,1)) & $lesseq(1,X14)) => ((! [X18 : $int] : (($less(X18,X14) & $lesseq(0,X18)) => path(tb2t(get(int,int,t2tb1(X19),t2tb(X18))),X18)) & ! [X18 : $int] : (($less(X18,X14) & $less(0,X18)) => (! [X24 : $int] : (($less(X24,X18) & $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X24)) => $less(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),tb2t(get(int,int,t2tb1(X19),t2tb(X24))))) & tb2t(get(int,int,t2tb1(X19),t2tb(X18))) = $sum(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),1) & $less(0,tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) & $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X18) & $lesseq(f(X18),tb2t(get(int,int,t2tb1(X23),t2tb(X18)))) & $less(tb2t(get(int,int,t2tb1(X23),get(int,int,t2tb1(X23),t2tb(X18)))),f(X18)))) & $lesseq($sum(X22,tb2t(get(int,int,t2tb1(X19),t2tb($difference(X14,1))))),$difference(X14,1)) & $uminus(1) = tb2t(get(int,int,t2tb1(X23),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X19),t2tb(0)))) => ! [X15 : $int,X25 : $int] : ((! [X18 : $int] : (($less(X18,X14) & $less(X15,X18)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X15))),tb2t(get(int,int,t2tb1(X19),t2tb(X18))))) & $lesseq($sum(X25,tb2t(get(int,int,t2tb1(X19),t2tb(X15)))),$difference(X14,1)) & $less(X15,X14) & $lesseq(f(X14),X15)) => (($less(X15,n) & $lesseq(0,X15) & $lesseq(0,n)) => ($lesseq(f(X14),tb2t(get(int,int,t2tb1(X23),t2tb(X15)))) => ! [X26 : $int] : ($sum(X25,1) = X26 => (($less(X15,n) & $lesseq(0,X15)) => ! [X27 : $int] : (tb2t(get(int,int,t2tb1(X23),t2tb(X15))) = X27 => ! [X18 : $int] : (($less(X18,X14) & $less(X27,X18)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18))))))))))))))))))))),
% 31.05/4.67 inference(negated_conjecture,[],[f42])).
% 31.05/4.67
% 31.05/4.67 tff(f45,plain,(
% 31.05/4.67 ! [X18 : $int] : (($less(X18,n) & $less(0,X18)) => ($less(f(X18),X18) & ~$less(f(X18),0)))),
% 31.05/4.67 inference(theory_normalization,[],[f34])).
% 31.05/4.67
% 31.05/4.67 tff(f49,plain,(
% 31.05/4.67 ~(~$less(n,0) => (~$less(n,0) => (($less(0,n) & ~$less(0,0)) => ! [X21 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X21 & ~$less(n,0)) => (~$less(n,0) => (~$less(n,0) => (~$less($sum(n,$uminus(1)),1) => ! [X22 : $int,X19 : map_int_int,X23 : map_int_int,X14 : $int] : ((~$less($sum(n,$uminus(1)),X14) & ~$less(X14,1)) => ((! [X18 : $int] : (($less(X18,X14) & ~$less(X18,0)) => path(tb2t(get(int,int,t2tb1(X19),t2tb(X18))),X18)) & ! [X18 : $int] : (($less(X18,X14) & $less(0,X18)) => (! [X24 : $int] : (($less(X24,X18) & $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X24)) => $less(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),tb2t(get(int,int,t2tb1(X19),t2tb(X24))))) & tb2t(get(int,int,t2tb1(X19),t2tb(X18))) = $sum(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),1) & $less(0,tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) & $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X18) & ~$less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),f(X18)) & $less(tb2t(get(int,int,t2tb1(X23),get(int,int,t2tb1(X23),t2tb(X18)))),f(X18)))) & ~$less($sum(X14,$uminus(1)),$sum(X22,tb2t(get(int,int,t2tb1(X19),t2tb($sum(X14,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X23),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X19),t2tb(0)))) => ! [X15 : $int,X25 : $int] : ((! [X18 : $int] : (($less(X18,X14) & $less(X15,X18)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X15))),tb2t(get(int,int,t2tb1(X19),t2tb(X18))))) & ~$less($sum(X14,$uminus(1)),$sum(X25,tb2t(get(int,int,t2tb1(X19),t2tb(X15))))) & $less(X15,X14) & ~$less(X15,f(X14))) => (($less(X15,n) & ~$less(X15,0) & ~$less(n,0)) => (~$less(tb2t(get(int,int,t2tb1(X23),t2tb(X15))),f(X14)) => ! [X26 : $int] : ($sum(X25,1) = X26 => (($less(X15,n) & ~$less(X15,0)) => ! [X27 : $int] : (tb2t(get(int,int,t2tb1(X23),t2tb(X15))) = X27 => ! [X18 : $int] : (($less(X18,X14) & $less(X27,X18)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18))))))))))))))))))))),
% 31.05/4.67 inference(theory_normalization,[],[f43])).
% 31.05/4.67
% 31.05/4.67 tff(f50,plain,(
% 31.05/4.67 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 31.05/4.67 introduced(theory_axiom_138,[])).
% 31.05/4.67
% 31.05/4.67 tff(f51,plain,(
% 31.05/4.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 31.05/4.67 introduced(theory_axiom_139,[])).
% 31.05/4.67
% 31.05/4.67 tff(f52,plain,(
% 31.05/4.67 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 31.05/4.67 introduced(theory_axiom_140,[])).
% 31.05/4.67
% 31.05/4.67 tff(f53,plain,(
% 31.05/4.67 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 31.05/4.67 introduced(theory_axiom_142,[])).
% 31.05/4.67
% 31.05/4.67 tff(f54,plain,(
% 31.05/4.67 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 31.05/4.67 introduced(theory_axiom_143,[])).
% 31.05/4.67
% 31.05/4.67 tff(f55,plain,(
% 31.05/4.67 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 31.05/4.67 introduced(theory_axiom_145,[])).
% 31.05/4.67
% 31.05/4.67 tff(f56,plain,(
% 31.05/4.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 31.05/4.67 introduced(theory_axiom_146,[])).
% 31.05/4.67
% 31.05/4.67 tff(f57,plain,(
% 31.05/4.67 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 31.05/4.67 introduced(theory_axiom_147,[])).
% 31.05/4.67
% 31.05/4.67 tff(f59,plain,(
% 31.05/4.67 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 31.05/4.67 introduced(theory_axiom_150,[])).
% 31.05/4.67
% 31.05/4.67 tff(f61,plain,(
% 31.05/4.67 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 31.05/4.67 introduced(theory_axiom_138,[])).
% 31.05/4.67
% 31.05/4.67 tff(f62,plain,(
% 31.05/4.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 31.05/4.67 introduced(theory_axiom_139,[])).
% 31.05/4.67
% 31.05/4.67 tff(f86,plain,(
% 31.05/4.67 ! [X0 : uni] : t2tb(tb2t(X0)) = X0),
% 31.05/4.67 inference(rectify,[],[f27])).
% 31.05/4.67
% 31.05/4.67 tff(f90,plain,(
% 31.05/4.67 ! [X0 : $int] : (($less(X0,n) & $less(0,X0)) => ($less(f(X0),X0) & ~$less(f(X0),0)))),
% 31.05/4.67 inference(rectify,[],[f45])).
% 31.05/4.67
% 31.05/4.67 tff(f97,plain,(
% 31.05/4.67 ~(~$less(n,0) => (~$less(n,0) => (($less(0,n) & ~$less(0,0)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) => (~$less(n,0) => (~$less(n,0) => (~$less($sum(n,$uminus(1)),1) => ! [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : ((~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) => ((! [X5 : $int] : (($less(X5,X4) & ~$less(X5,0)) => path(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),X5)) & ! [X6 : $int] : (($less(X6,X4) & $less(0,X6)) => (! [X7 : $int] : (($less(X7,X6) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X7)) => $less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X6)))),tb2t(get(int,int,t2tb1(X2),t2tb(X7))))) & tb2t(get(int,int,t2tb1(X2),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X6)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X6)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X6) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),f(X6)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X6)))),f(X6)))) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0)))) => ! [X8 : $int,X9 : $int] : ((! [X10 : $int] : (($less(X10,X4) & $less(X8,X10)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X10))))) & ~$less($sum(X4,$uminus(1)),$sum(X9,tb2t(get(int,int,t2tb1(X2),t2tb(X8))))) & $less(X8,X4) & ~$less(X8,f(X4))) => (($less(X8,n) & ~$less(X8,0) & ~$less(n,0)) => (~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X8))),f(X4)) => ! [X11 : $int] : ($sum(X9,1) = X11 => (($less(X8,n) & ~$less(X8,0)) => ! [X12 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X8))) = X12 => ! [X13 : $int] : (($less(X13,X4) & $less(X12,X13)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X12))),tb2t(get(int,int,t2tb1(X2),t2tb(X13))))))))))))))))))))),
% 31.05/4.67 inference(rectify,[],[f49])).
% 31.05/4.67
% 31.05/4.67 tff(f110,plain,(
% 31.05/4.67 ! [X0 : $int] : (($less(f(X0),X0) & ~$less(f(X0),0)) | (~$less(X0,n) | ~$less(0,X0)))),
% 31.05/4.67 inference(ennf_transformation,[],[f90])).
% 31.05/4.67
% 31.05/4.67 tff(f111,plain,(
% 31.05/4.67 ! [X0 : $int] : (($less(f(X0),X0) & ~$less(f(X0),0)) | ~$less(X0,n) | ~$less(0,X0))),
% 31.05/4.67 inference(flattening,[],[f110])).
% 31.05/4.67
% 31.05/4.67 tff(f116,plain,(
% 31.05/4.67 ((? [X0 : map_int_int] : ((((? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : ((? [X8 : $int,X9 : $int] : (((? [X11 : $int] : ((? [X12 : $int] : (? [X13 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X12))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) & ($less(X13,X4) & $less(X12,X13))) & tb2t(get(int,int,t2tb1(X3),t2tb(X8))) = X12) & ($less(X8,n) & ~$less(X8,0))) & $sum(X9,1) = X11) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X8))),f(X4))) & ($less(X8,n) & ~$less(X8,0) & ~$less(n,0))) & (! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | (~$less(X10,X4) | ~$less(X8,X10))) & ~$less($sum(X4,$uminus(1)),$sum(X9,tb2t(get(int,int,t2tb1(X2),t2tb(X8))))) & $less(X8,X4) & ~$less(X8,f(X4)))) & (! [X5 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),X5) | (~$less(X5,X4) | $less(X5,0))) & ! [X6 : $int] : ((! [X7 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X6)))),tb2t(get(int,int,t2tb1(X2),t2tb(X7)))) | (~$less(X7,X6) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X7))) & tb2t(get(int,int,t2tb1(X2),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X6)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X6)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X6) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),f(X6)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X6)))),f(X6))) | (~$less(X6,X4) | ~$less(0,X6))) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))))) & (~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1))) & ~$less($sum(n,$uminus(1)),1)) & ~$less(n,0)) & ~$less(n,0)) & (tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0))) & ($less(0,n) & ~$less(0,0))) & ~$less(n,0)) & ~$less(n,0)),
% 31.05/4.67 inference(ennf_transformation,[],[f97])).
% 31.05/4.67
% 31.05/4.67 tff(f117,plain,(
% 31.05/4.67 ? [X0 : map_int_int] : (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X8 : $int,X9 : $int] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X12))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) & $less(X13,X4) & $less(X12,X13)) & tb2t(get(int,int,t2tb1(X3),t2tb(X8))) = X12) & $less(X8,n) & ~$less(X8,0) & $sum(X9,1) = X11) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X8))),f(X4)) & $less(X8,n) & ~$less(X8,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X8,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X9,tb2t(get(int,int,t2tb1(X2),t2tb(X8))))) & $less(X8,X4) & ~$less(X8,f(X4))) & ! [X5 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),X5) | ~$less(X5,X4) | $less(X5,0)) & ! [X6 : $int] : ((! [X7 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X6)))),tb2t(get(int,int,t2tb1(X2),t2tb(X7)))) | ~$less(X7,X6) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X7)) & tb2t(get(int,int,t2tb1(X2),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X6)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X6)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X6) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),f(X6)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X6)))),f(X6))) | ~$less(X6,X4) | ~$less(0,X6)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) & $less(0,n) & ~$less(0,0) & ~$less(n,0) & ~$less(n,0)),
% 31.05/4.67 inference(flattening,[],[f116])).
% 31.05/4.67
% 31.05/4.67 tff(f125,plain,(
% 31.05/4.67 ? [X0 : map_int_int] : (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & $less(X5,n) & ~$less(X5,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & $less(X5,X4) & ~$less(X5,f(X4))) & ! [X11 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X11))),X11) | ~$less(X11,X4) | $less(X11,0)) & ! [X12 : $int] : ((! [X13 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X13)) & tb2t(get(int,int,t2tb1(X2),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X12) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),f(X12)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X12)))),f(X12))) | ~$less(X12,X4) | ~$less(0,X12)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) & $less(0,n) & ~$less(0,0) & ~$less(n,0) & ~$less(n,0)),
% 31.05/4.67 inference(rectify,[],[f117])).
% 31.05/4.67
% 31.05/4.67 tff(f126,plain,(
% 31.05/4.67 ? [X0 : map_int_int] : (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & $less(X5,n) & ~$less(X5,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & $less(X5,X4) & ~$less(X5,f(X4))) & ! [X11 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X11))),X11) | ~$less(X11,X4) | $less(X11,0)) & ! [X12 : $int] : ((! [X13 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X13)) & tb2t(get(int,int,t2tb1(X2),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X12) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),f(X12)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X12)))),f(X12))) | ~$less(X12,X4) | ~$less(0,X12)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) => (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & $less(X5,n) & ~$less(X5,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & $less(X5,X4) & ~$less(X5,f(X4))) & ! [X11 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X11))),X11) | ~$less(X11,X4) | $less(X11,0)) & ! [X12 : $int] : ((! [X13 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X13)) & tb2t(get(int,int,t2tb1(X2),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X12) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),f(X12)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X12)))),f(X12))) | ~$less(X12,X4) | ~$less(0,X12)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = sK4 & ~$less(n,0))),
% 31.05/4.67 introduced(choice_axiom,[])).
% 31.05/4.67
% 31.05/4.67 tff(f127,plain,(
% 31.05/4.67 ? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & $less(X5,n) & ~$less(X5,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & $less(X5,X4) & ~$less(X5,f(X4))) & ! [X11 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X11))),X11) | ~$less(X11,X4) | $less(X11,0)) & ! [X12 : $int] : ((! [X13 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X13)) & tb2t(get(int,int,t2tb1(X2),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X12)))),1) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),X12) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X12))),f(X12)) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X12)))),f(X12))) | ~$less(X12,X4) | ~$less(0,X12)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(X3),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) => (? [X6 : $int,X5 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(X8))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X5))),f(sK8)) & $less(X5,n) & ~$less(X5,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),t2tb(X5))),tb2t(get(int,int,t2tb1(sK6),t2tb(X10)))) | ~$less(X10,sK8) | ~$less(X5,X10)) & ~$less($sum(sK8,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(sK6),t2tb(X5))))) & $less(X5,sK8) & ~$less(X5,f(sK8))) & ! [X11 : $int] : (path(tb2t(get(int,int,t2tb1(sK6),t2tb(X11))),X11) | ~$less(X11,sK8) | $less(X11,0)) & ! [X12 : $int] : ((! [X13 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X12)))),tb2t(get(int,int,t2tb1(sK6),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),X13)) & tb2t(get(int,int,t2tb1(sK6),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X12)))),1) & $less(0,tb2t(get(int,int,t2tb1(sK6),t2tb(X12)))) & $less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),X12) & ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),f(X12)) & $less(tb2t(get(int,int,t2tb1(sK7),get(int,int,t2tb1(sK7),t2tb(X12)))),f(X12))) | ~$less(X12,sK8) | ~$less(0,X12)) & ~$less($sum(sK8,$uminus(1)),$sum(sK5,tb2t(get(int,int,t2tb1(sK6),t2tb($sum(sK8,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(sK7),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(sK6),t2tb(0))) & ~$less($sum(n,$uminus(1)),sK8) & ~$less(sK8,1))),
% 31.05/4.67 introduced(choice_axiom,[])).
% 31.05/4.67
% 31.05/4.67 tff(f128,plain,(
% 31.05/4.67 ? [X6 : $int,X5 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(X8))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X5))),f(sK8)) & $less(X5,n) & ~$less(X5,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),t2tb(X5))),tb2t(get(int,int,t2tb1(sK6),t2tb(X10)))) | ~$less(X10,sK8) | ~$less(X5,X10)) & ~$less($sum(sK8,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(sK6),t2tb(X5))))) & $less(X5,sK8) & ~$less(X5,f(sK8))) => (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(X8))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = X8) & $less(sK9,n) & ~$less(sK9,0) & $sum(sK10,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),f(sK8)) & $less(sK9,n) & ~$less(sK9,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),tb2t(get(int,int,t2tb1(sK6),t2tb(X10)))) | ~$less(X10,sK8) | ~$less(sK9,X10)) & ~$less($sum(sK8,$uminus(1)),$sum(sK10,tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))))) & $less(sK9,sK8) & ~$less(sK9,f(sK8)))),
% 31.05/4.67 introduced(choice_axiom,[])).
% 31.05/4.67
% 31.05/4.67 tff(f129,plain,(
% 31.05/4.67 ? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(X8))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = X8) & $less(sK9,n) & ~$less(sK9,0) & $sum(sK10,1) = X7) => (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(X8))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = X8) & $less(sK9,n) & ~$less(sK9,0) & $sum(sK10,1) = sK11)),
% 31.05/4.67 introduced(choice_axiom,[])).
% 31.05/4.67
% 31.05/4.67 tff(f130,plain,(
% 31.05/4.67 ? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(X8))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = X8) => (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(sK12,X9)) & tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = sK12)),
% 31.05/4.67 introduced(choice_axiom,[])).
% 31.05/4.67
% 31.05/4.67 tff(f131,plain,(
% 31.05/4.67 ? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(X9)))) & $less(X9,sK8) & $less(sK12,X9)) => (~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK13)))) & $less(sK13,sK8) & $less(sK12,sK13))),
% 31.05/4.67 introduced(choice_axiom,[])).
% 31.05/4.67
% 31.05/4.67 tff(f132,plain,(
% 31.05/4.67 ((((((~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK13)))) & $less(sK13,sK8) & $less(sK12,sK13)) & tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = sK12) & $less(sK9,n) & ~$less(sK9,0) & $sum(sK10,1) = sK11) & ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),f(sK8)) & $less(sK9,n) & ~$less(sK9,0) & ~$less(n,0) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),tb2t(get(int,int,t2tb1(sK6),t2tb(X10)))) | ~$less(X10,sK8) | ~$less(sK9,X10)) & ~$less($sum(sK8,$uminus(1)),$sum(sK10,tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))))) & $less(sK9,sK8) & ~$less(sK9,f(sK8))) & ! [X11 : $int] : (path(tb2t(get(int,int,t2tb1(sK6),t2tb(X11))),X11) | ~$less(X11,sK8) | $less(X11,0)) & ! [X12 : $int] : ((! [X13 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X12)))),tb2t(get(int,int,t2tb1(sK6),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),X13)) & tb2t(get(int,int,t2tb1(sK6),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X12)))),1) & $less(0,tb2t(get(int,int,t2tb1(sK6),t2tb(X12)))) & $less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),X12) & ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),f(X12)) & $less(tb2t(get(int,int,t2tb1(sK7),get(int,int,t2tb1(sK7),t2tb(X12)))),f(X12))) | ~$less(X12,sK8) | ~$less(0,X12)) & ~$less($sum(sK8,$uminus(1)),$sum(sK5,tb2t(get(int,int,t2tb1(sK6),t2tb($sum(sK8,$uminus(1))))))) & $uminus(1) = tb2t(get(int,int,t2tb1(sK7),t2tb(0))) & 0 = tb2t(get(int,int,t2tb1(sK6),t2tb(0))) & ~$less($sum(n,$uminus(1)),sK8) & ~$less(sK8,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = sK4 & ~$less(n,0)) & $less(0,n) & ~$less(0,0) & ~$less(n,0) & ~$less(n,0)),
% 31.05/4.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f125,f131,f130,f129,f128,f127,f126])).
% 31.05/4.67
% 31.05/4.67 tff(f159,plain,(
% 31.05/4.67 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )),
% 31.05/4.67 inference(cnf_transformation,[],[f86])).
% 31.05/4.67
% 31.05/4.67 tff(f166,plain,(
% 31.05/4.67 ( ! [X0 : $int] : (~$less(f(X0),0) | ~$less(X0,n) | ~$less(0,X0)) )),
% 31.05/4.67 inference(cnf_transformation,[],[f111])).
% 31.05/4.67
% 31.05/4.67 tff(f191,plain,(
% 31.05/4.67 ~$less(sK8,1)),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f192,plain,(
% 31.05/4.67 ~$less($sum(n,$uminus(1)),sK8)),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f193,plain,(
% 31.05/4.67 0 = tb2t(get(int,int,t2tb1(sK6),t2tb(0)))),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f194,plain,(
% 31.05/4.67 $uminus(1) = tb2t(get(int,int,t2tb1(sK7),t2tb(0)))),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f200,plain,(
% 31.05/4.67 ( ! [X12 : $int] : (tb2t(get(int,int,t2tb1(sK6),t2tb(X12))) = $sum(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X12)))),1) | ~$less(X12,sK8) | ~$less(0,X12)) )),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f201,plain,(
% 31.05/4.67 ( ! [X12 : $int,X13 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X12)))),tb2t(get(int,int,t2tb1(sK6),t2tb(X13)))) | ~$less(X13,X12) | ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),X13) | ~$less(X12,sK8) | ~$less(0,X12)) )),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f204,plain,(
% 31.05/4.67 $less(sK9,sK8)),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f206,plain,(
% 31.05/4.67 ( ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),tb2t(get(int,int,t2tb1(sK6),t2tb(X10)))) | ~$less(X10,sK8) | ~$less(sK9,X10)) )),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f208,plain,(
% 31.05/4.67 ~$less(sK9,0)),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f210,plain,(
% 31.05/4.67 ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),f(sK8))),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f214,plain,(
% 31.05/4.67 tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = sK12),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f215,plain,(
% 31.05/4.67 $less(sK12,sK13)),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f216,plain,(
% 31.05/4.67 $less(sK13,sK8)),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 tff(f217,plain,(
% 31.05/4.67 ~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK13))))),
% 31.05/4.67 inference(cnf_transformation,[],[f132])).
% 31.05/4.67
% 31.05/4.67 cnf(c_54,plain,
% 31.05/4.67 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 31.05/4.67 inference(cnf_transformation,[],[f62])).
% 31.05/4.67
% 31.05/4.67 cnf(c_55,plain,
% 31.05/4.67 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f61])).
% 31.05/4.67
% 31.05/4.67 cnf(c_57,plain,
% 31.05/4.67 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f59])).
% 31.05/4.67
% 31.05/4.67 cnf(c_59,plain,
% 31.05/4.67 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f57])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60,plain,
% 31.05/4.67 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f56])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61,plain,
% 31.05/4.67 (~$less_int(X0_3,X0_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f55])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62,plain,
% 31.05/4.67 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 31.05/4.67 inference(cnf_transformation,[],[f54])).
% 31.05/4.67
% 31.05/4.67 cnf(c_63,plain,
% 31.05/4.67 ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 31.05/4.67 inference(cnf_transformation,[],[f53])).
% 31.05/4.67
% 31.05/4.67 cnf(c_64,plain,
% 31.05/4.67 ($sum_int(X0_3,0) = X0_3),
% 31.05/4.67 inference(cnf_transformation,[],[f52])).
% 31.05/4.67
% 31.05/4.67 cnf(c_65,plain,
% 31.05/4.67 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 31.05/4.67 inference(cnf_transformation,[],[f51])).
% 31.05/4.67
% 31.05/4.67 cnf(c_66,plain,
% 31.05/4.67 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f50])).
% 31.05/4.67
% 31.05/4.67 cnf(c_93,plain,
% 31.05/4.67 (t2tb(tb2t(X0_13)) = X0_13),
% 31.05/4.67 inference(cnf_transformation,[],[f159])).
% 31.05/4.67
% 31.05/4.67 cnf(c_98,plain,
% 31.05/4.67 (~$less_int(f(X0_3),0)|~$less_int(X0_3,n)|~$less_int(0,X0_3)),
% 31.05/4.67 inference(cnf_transformation,[],[f166])).
% 31.05/4.67
% 31.05/4.67 cnf(c_113,negated_conjecture,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK13))))),
% 31.05/4.67 inference(cnf_transformation,[],[f217])).
% 31.05/4.67
% 31.05/4.67 cnf(c_114,negated_conjecture,
% 31.05/4.67 ($less_int(sK13,sK8)),
% 31.05/4.67 inference(cnf_transformation,[],[f216])).
% 31.05/4.67
% 31.05/4.67 cnf(c_115,negated_conjecture,
% 31.05/4.67 ($less_int(sK12,sK13)),
% 31.05/4.67 inference(cnf_transformation,[],[f215])).
% 31.05/4.67
% 31.05/4.67 cnf(c_116,negated_conjecture,
% 31.05/4.67 (tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = sK12),
% 31.05/4.67 inference(cnf_transformation,[],[f214])).
% 31.05/4.67
% 31.05/4.67 cnf(c_120,negated_conjecture,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),f(sK8))),
% 31.05/4.67 inference(cnf_transformation,[],[f210])).
% 31.05/4.67
% 31.05/4.67 cnf(c_122,negated_conjecture,
% 31.05/4.67 (~$less_int(sK9,0)),
% 31.05/4.67 inference(cnf_transformation,[],[f208])).
% 31.05/4.67
% 31.05/4.67 cnf(c_124,negated_conjecture,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(sK9,X0_3)|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3))))),
% 31.05/4.67 inference(cnf_transformation,[],[f206])).
% 31.05/4.67
% 31.05/4.67 cnf(c_126,negated_conjecture,
% 31.05/4.67 ($less_int(sK9,sK8)),
% 31.05/4.67 inference(cnf_transformation,[],[f204])).
% 31.05/4.67
% 31.05/4.67 cnf(c_129,negated_conjecture,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3))),X1_3)|~$less_int(X1_3,X0_3)|
% 31.05/4.67 ~$less_int(X0_3,sK8)|~$less_int(0,X0_3)|$less_int(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X0_3)))),tb2t(get(int,int,t2tb1(sK6),t2tb(X1_3))))),
% 31.05/4.67 inference(cnf_transformation,[],[f201])).
% 31.05/4.67
% 31.05/4.67 cnf(c_130,negated_conjecture,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(0,X0_3)|$sum_int(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X0_3)))),1) = tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3)))),
% 31.05/4.67 inference(cnf_transformation,[],[f200])).
% 31.05/4.67
% 31.05/4.67 cnf(c_136,negated_conjecture,
% 31.05/4.67 (tb2t(get(int,int,t2tb1(sK7),t2tb(0))) = $uminus_int(1)),
% 31.05/4.67 inference(cnf_transformation,[],[f194])).
% 31.05/4.67
% 31.05/4.67 cnf(c_137,negated_conjecture,
% 31.05/4.67 (tb2t(get(int,int,t2tb1(sK6),t2tb(0))) = 0),
% 31.05/4.67 inference(cnf_transformation,[],[f193])).
% 31.05/4.67
% 31.05/4.67 cnf(c_138,negated_conjecture,
% 31.05/4.67 (~$less_int($sum_int(n,$uminus_int(1)),sK8)),
% 31.05/4.67 inference(cnf_transformation,[],[f192])).
% 31.05/4.67
% 31.05/4.67 cnf(c_139,negated_conjecture,
% 31.05/4.67 (~$less_int(sK8,1)),
% 31.05/4.67 inference(cnf_transformation,[],[f191])).
% 31.05/4.67
% 31.05/4.67 cnf(c_206,negated_conjecture,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(0,X0_3)|$sum_int(1,tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X0_3))))) = tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3)))),
% 31.05/4.67 inference(theory_normalisation,[status(thm)],[c_130,c_54,c_55,c_65,c_66])).
% 31.05/4.67
% 31.05/4.67 cnf(c_696,plain,
% 31.05/4.67 (~$less_int($sum_int(-1,n),sK8)),
% 31.05/4.67 inference(smt_theory_normalisation,[status(thm)],[c_138])).
% 31.05/4.67
% 31.05/4.67 cnf(c_697,plain,
% 31.05/4.67 (~$less_int($sum_int(n,-1),sK8)),
% 31.05/4.67 inference(theory_normalisation,[status(thm)],[c_696,c_65,c_66,c_54,c_55])).
% 31.05/4.67
% 31.05/4.67 cnf(c_757,plain,
% 31.05/4.67 (tb2t(get(int,int,t2tb1(sK7),t2tb(0))) = -1),
% 31.05/4.67 inference(smt_theory_normalisation,[status(thm)],[c_136])).
% 31.05/4.67
% 31.05/4.67 cnf(c_758,plain,
% 31.05/4.67 (~$less_int(sK12,f(sK8))),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_120,c_116])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2007,plain,(t2tb1(sK6) = sP0_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2008,plain,(t2tb1(sK7) = sP1_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2010,plain,(t2tb(0) = sP3_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2011,plain,
% 31.05/4.67 (get(int,int,sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def),
% 31.05/4.67 definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2012,plain,(tb2t(sP4_iProver_def) = sP5_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2013,plain,(f(sK8) = sP6_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2014,plain,(t2tb(sK9) = sP7_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2015,plain,
% 31.05/4.67 (get(int,int,sP0_iProver_def,sP7_iProver_def) = sP8_iProver_def),
% 31.05/4.67 definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2016,plain,(tb2t(sP8_iProver_def) = sP9_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2017,plain,
% 31.05/4.67 (get(int,int,sP1_iProver_def,sP7_iProver_def) = sP10_iProver_def),
% 31.05/4.67 definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2018,plain,(tb2t(sP10_iProver_def) = sP11_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2019,plain,(t2tb(sK12) = sP12_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2020,plain,
% 31.05/4.67 (get(int,int,sP0_iProver_def,sP12_iProver_def) = sP13_iProver_def),
% 31.05/4.67 definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2021,plain,(tb2t(sP13_iProver_def) = sP14_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2022,plain,(t2tb(sK13) = sP15_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2023,plain,
% 31.05/4.67 (get(int,int,sP0_iProver_def,sP15_iProver_def) = sP16_iProver_def),
% 31.05/4.67 definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2024,plain,(tb2t(sP16_iProver_def) = sP17_iProver_def),definition).
% 31.05/4.67
% 31.05/4.67 cnf(c_2025,negated_conjecture,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(0,X0_3)|$sum_int(1,tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,t2tb(X0_3))))) = tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3)))),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_206,c_2008,c_2007])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2027,negated_conjecture,
% 31.05/4.67 (~$less_int(sK8,1)),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_139])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2028,negated_conjecture,
% 31.05/4.67 (sP5_iProver_def = 0),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_137,c_2010,c_2011,c_2012])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2033,negated_conjecture,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,sP1_iProver_def,t2tb(X0_3))),X1_3)|~$less_int(X1_3,X0_3)|
% 31.05/4.67 ~$less_int(X0_3,sK8)|~$less_int(0,X0_3)|$less_int(tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,t2tb(X0_3)))),tb2t(get(int,int,sP0_iProver_def,t2tb(X1_3))))),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_129])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2036,negated_conjecture,
% 31.05/4.67 ($less_int(sK9,sK8)),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_126])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2037,negated_conjecture,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(sK9,X0_3)|$less_int(sP9_iProver_def,tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3))))),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_124,c_2014,c_2015,c_2016])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2039,negated_conjecture,
% 31.05/4.67 (~$less_int(sK9,0)),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_122])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2041,negated_conjecture,
% 31.05/4.67 (sP11_iProver_def = sK12),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_116,c_2017,c_2018])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2042,negated_conjecture,
% 31.05/4.67 ($less_int(sK12,sK13)),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_115])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2043,negated_conjecture,
% 31.05/4.67 ($less_int(sK13,sK8)),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_114])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2044,negated_conjecture,
% 31.05/4.67 (~$less_int(sP14_iProver_def,sP17_iProver_def)),
% 31.05/4.67 inference(demodulation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_113,c_2022,c_2023,c_2024,c_2019,c_2020,c_2021])).
% 31.05/4.67
% 31.05/4.67 cnf(c_2047,plain,(X0_3 = X0_3),theory(equality)).
% 31.05/4.67
% 31.05/4.67 cnf(c_2058,plain,
% 31.05/4.67 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 31.05/4.67 theory(equality)).
% 31.05/4.67
% 31.05/4.67 cnf(c_3597,plain,
% 31.05/4.67 ($less_int(sP11_iProver_def,sK13)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2042,c_2041])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3603,plain,
% 31.05/4.67 (~$less_int(sK9,sP5_iProver_def)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2039,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3687,plain,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,sP1_iProver_def,t2tb(X0_3))),X1_3)|~$less_int(X1_3,X0_3)|
% 31.05/4.67 ~$less_int(X0_3,sK8)|~$less_int(sP5_iProver_def,X0_3)|$less_int(tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,t2tb(X0_3)))),tb2t(get(int,int,sP0_iProver_def,t2tb(X1_3))))),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2033,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3725,plain,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,sP1_iProver_def,t2tb(sK9))),X0_3)|~$less_int(X0_3,sK9)|
% 31.05/4.67 ~$less_int(sK9,sK8)|~$less_int(sP5_iProver_def,sK9)|$less_int(tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,sP7_iProver_def))),tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3))))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2014,c_3687])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3759,plain,
% 31.05/4.67 (~$less_int(X0_3,sK9)|~$less_int(sP11_iProver_def,X0_3)|~$less_int(sK9,sK8)|
% 31.05/4.67 ~$less_int(sP5_iProver_def,sK9)|$less_int(tb2t(get(int,int,sP0_iProver_def,sP10_iProver_def)),tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3))))),
% 31.05/4.67 inference(light_normalisation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_3725,c_2014,c_2017,c_2018])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3760,plain,
% 31.05/4.67 (~$less_int(X0_3,sK9)|~$less_int(sP11_iProver_def,X0_3)|~$less_int(sP5_iProver_def,sK9)|
% 31.05/4.67 $less_int(tb2t(get(int,int,sP0_iProver_def,sP10_iProver_def)),tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3))))),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_3759,c_2036])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3766,plain,
% 31.05/4.67 (t2tb(sP11_iProver_def) = sP12_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2019,c_2041])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3862,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|~$less_int(sP5_iProver_def,sK9)|~$less_int(sP11_iProver_def,sK13)|
% 31.05/4.67 $less_int(tb2t(get(int,int,sP0_iProver_def,sP10_iProver_def)),tb2t(get(int,int,sP0_iProver_def,sP15_iProver_def)))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2022,c_3760])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3893,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|~$less_int(sP5_iProver_def,sK9)|~$less_int(sP11_iProver_def,sK13)|
% 31.05/4.67 $less_int(tb2t(get(int,int,sP0_iProver_def,sP10_iProver_def)),sP17_iProver_def)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_3862,c_2023,c_2024])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3894,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|~$less_int(sP5_iProver_def,sK9)|$less_int(tb2t(get(int,int,sP0_iProver_def,sP10_iProver_def)),sP17_iProver_def)),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_3893,c_3597])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3913,plain,
% 31.05/4.67 ($sum_int(X0_3,sP5_iProver_def) = X0_3),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_64,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_3977,plain,
% 31.05/4.67 (t2tb(sP11_iProver_def) = sP10_iProver_def),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2018,c_93])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4030,plain,
% 31.05/4.67 (sP10_iProver_def = sP12_iProver_def),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_3766,c_3977])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4369,plain,
% 31.05/4.67 (get(int,int,sP0_iProver_def,sP10_iProver_def) = sP13_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2020,c_4030])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4372,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|~$less_int(sP5_iProver_def,sK9)|$less_int(tb2t(sP13_iProver_def),sP17_iProver_def)),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_3894,c_4369])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4379,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|~$less_int(sP5_iProver_def,sK9)|$less_int(sP14_iProver_def,sP17_iProver_def)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_4372,c_2021])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4380,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|~$less_int(sP5_iProver_def,sK9)),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_4379,c_2044])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4539,plain,
% 31.05/4.67 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_66,c_57])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4700,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|sK9 = sP5_iProver_def|$less_int(sK9,sP5_iProver_def)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_4380])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4736,plain,
% 31.05/4.67 (~$less_int(sK13,sK9)|sK9 = sP5_iProver_def),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_4700,c_3603])).
% 31.05/4.67
% 31.05/4.67 cnf(c_4877,plain,
% 31.05/4.67 (~$less_int(sK8,X0_3)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2043,c_60])).
% 31.05/4.67
% 31.05/4.67 cnf(c_5188,plain,
% 31.05/4.67 (X0_3 = sK8|$less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_4877])).
% 31.05/4.67
% 31.05/4.67 cnf(c_5438,plain,
% 31.05/4.67 (X0_3 != sK13|X1_3 != sK8|~$less_int(sK13,sK8)|$less_int(X0_3,X1_3)),
% 31.05/4.67 inference(instantiation,[status(thm)],[c_2058])).
% 31.05/4.67
% 31.05/4.67 cnf(c_6072,plain,
% 31.05/4.67 (X0_3 != sK8|sK13 != sK13|~$less_int(sK13,sK8)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(instantiation,[status(thm)],[c_5438])).
% 31.05/4.67
% 31.05/4.67 cnf(c_6073,plain,
% 31.05/4.67 (sK13 = sK13),
% 31.05/4.67 inference(instantiation,[status(thm)],[c_2047])).
% 31.05/4.67
% 31.05/4.67 cnf(c_11546,plain,
% 31.05/4.67 (~$less_int(sK8,X0_3)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2043,c_60])).
% 31.05/4.67
% 31.05/4.67 cnf(c_13417,plain,
% 31.05/4.67 ($less_int(X0_3,1)|$less_int(sP5_iProver_def,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_3913,c_4539])).
% 31.05/4.67
% 31.05/4.67 cnf(c_13711,plain,
% 31.05/4.67 (X0_3 = sK8|$less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_11546])).
% 31.05/4.67
% 31.05/4.67 cnf(c_13918,plain,
% 31.05/4.67 ($less_int(sP5_iProver_def,sK8)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_13417,c_2027])).
% 31.05/4.67
% 31.05/4.67 cnf(c_16693,plain,
% 31.05/4.67 ($less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(global_subsumption_just,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_13711,c_114,c_5188,c_6072,c_6073])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60411,plain,
% 31.05/4.67 ($less_int(sP11_iProver_def,sK13)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2042,c_2041])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60416,plain,
% 31.05/4.67 (~$less_int(sK9,sP5_iProver_def)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2039,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60447,plain,
% 31.05/4.67 (t2tb(sP5_iProver_def) = sP3_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2010,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60477,plain,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(sP5_iProver_def,X0_3)|$sum_int(1,tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,t2tb(X0_3))))) = tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3)))),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2025,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60488,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK9)|$sum_int(1,tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,t2tb(sK9))))) = tb2t(get(int,int,sP0_iProver_def,t2tb(sK9)))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2036,c_60477])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60493,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK9)|$sum_int(1,tb2t(get(int,int,sP0_iProver_def,sP10_iProver_def))) = sP9_iProver_def),
% 31.05/4.67 inference(light_normalisation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_60488,c_2014,c_2015,c_2016,c_2017])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60523,plain,
% 31.05/4.67 (~$less_int(sP11_iProver_def,sP6_iProver_def)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_758,c_2013,c_2041])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60524,plain,
% 31.05/4.67 (tb2t(get(int,int,sP1_iProver_def,sP3_iProver_def)) = -1),
% 31.05/4.67 inference(light_normalisation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_757,c_2008,c_2028,c_60447])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60601,plain,
% 31.05/4.67 (t2tb(sP11_iProver_def) = sP12_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_2019,c_2041])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60765,plain,
% 31.05/4.67 ($sum_int(X0_3,sP5_iProver_def) = X0_3),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_64,c_2028])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60767,plain,
% 31.05/4.67 ($sum_int(X0_3,$sum_int(sP5_iProver_def,X1_3)) = $sum_int(X0_3,X1_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_60765,c_65])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60773,plain,
% 31.05/4.67 (0 = sP5_iProver_def),
% 31.05/4.67 inference(smt_theory_normalisation,[status(thm)],[c_60767])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60802,plain,
% 31.05/4.67 (t2tb(sP11_iProver_def) = sP10_iProver_def),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2018,c_93])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60805,plain,
% 31.05/4.67 (get(int,int,sP1_iProver_def,sP3_iProver_def) = t2tb(-1)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_60524,c_93])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60857,plain,
% 31.05/4.67 (sP10_iProver_def = sP12_iProver_def),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_60601,c_60802])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60862,plain,
% 31.05/4.67 (get(int,int,sP0_iProver_def,sP10_iProver_def) = sP13_iProver_def),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_2020,c_60857])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60863,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK9)|$sum_int(1,tb2t(sP13_iProver_def)) = sP9_iProver_def),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_60493,c_60862])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60870,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK9)|$sum_int(1,sP14_iProver_def) = sP9_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_60863,c_2021])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60871,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK9)|$sum_int(sP14_iProver_def,1) = sP9_iProver_def),
% 31.05/4.67 inference(theory_normalisation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_60870,c_65,c_66,c_54,c_55])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60878,plain,
% 31.05/4.67 (tb2t(t2tb(-1)) = -1),
% 31.05/4.67 inference(demodulation,[status(thm)],[c_60524,c_60805])).
% 31.05/4.67
% 31.05/4.67 cnf(c_60976,plain,
% 31.05/4.67 ($sum_int(X0_3,$uminus_int(X0_3)) = sP5_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_62,c_60773])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61166,plain,
% 31.05/4.67 ($less_int(X0_3,$sum_int(X1_3,$sum_int(X2_3,1)))|$less_int($sum_int(X1_3,X2_3),X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_65,c_57])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61322,plain,
% 31.05/4.67 ($less_int($sum_int(X0_3,X1_3),$sum_int(X0_3,$sum_int(X1_3,1)))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_61166,c_61])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61342,plain,
% 31.05/4.67 ($less_int($sum_int(X0_3,X1_3),$sum_int(X0_3,$sum_int(1,X1_3)))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_66,c_61322])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61367,plain,
% 31.05/4.67 ($less_int($sum_int(X0_3,$uminus_int(1)),$sum_int(X0_3,sP5_iProver_def))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_60976,c_61342])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61373,plain,
% 31.05/4.67 ($less_int($sum_int(X0_3,$uminus_int(1)),X0_3)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_61367,c_60765])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61592,plain,
% 31.05/4.67 (sK9 = sP5_iProver_def|$less_int(sP5_iProver_def,sK9)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_60416])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61597,plain,
% 31.05/4.67 ($sum_int(sP14_iProver_def,1) = sP9_iProver_def|sK9 = sP5_iProver_def|
% 31.05/4.67 $less_int(sK9,sP5_iProver_def)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_60871])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61652,plain,
% 31.05/4.67 ($sum_int(sP14_iProver_def,1) = sP9_iProver_def|sK9 = sP5_iProver_def),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_61597,c_60416])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61937,plain,
% 31.05/4.67 (~$less_int(sK8,X0_3)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2043,c_60])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61943,plain,
% 31.05/4.67 (~$less_int(tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3))),X1_3)|~$less_int(X0_3,sK8)|
% 31.05/4.67 ~$less_int(sK9,X0_3)|$less_int(sP9_iProver_def,X1_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2037,c_60])).
% 31.05/4.67
% 31.05/4.67 cnf(c_61949,plain,
% 31.05/4.67 (~$less_int(sK9,X0_3)|sK9 = sP5_iProver_def|$less_int(sP5_iProver_def,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_61592,c_60])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62189,plain,
% 31.05/4.67 ($sum_int($uminus_int(X0_3),$sum_int($uminus_int(X1_3),X2_3)) = $sum_int($uminus_int($sum_int(X1_3,X0_3)),X2_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_63,c_65])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62190,plain,
% 31.05/4.67 ($less_int($uminus_int($sum_int(1,X0_3)),$uminus_int(X0_3))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_63,c_61373])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62219,plain,
% 31.05/4.67 (sK9 = sP5_iProver_def|$less_int(sP5_iProver_def,sK8)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2036,c_61949])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62320,plain,
% 31.05/4.67 (X0_3 = sK8|$less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_61937])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62369,plain,
% 31.05/4.67 ($less_int(sP5_iProver_def,sK8)),
% 31.05/4.67 inference(global_subsumption_just,[status(thm)],[c_62219,c_13918])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62393,plain,
% 31.05/4.67 (~$less_int(X0_3,sK8)|~$less_int(sK9,X0_3)|$less_int(X1_3,tb2t(get(int,int,sP0_iProver_def,t2tb(X0_3))))|
% 31.05/4.67 $less_int(sP9_iProver_def,$sum_int(X1_3,1))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_57,c_61943])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62569,plain,
% 31.05/4.67 ($less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 31.05/4.67 inference(global_subsumption_just,[status(thm)],[c_62320,c_16693])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62578,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK13)|$sum_int(1,tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,t2tb(sK13))))) = tb2t(get(int,int,sP0_iProver_def,t2tb(sK13)))|
% 31.05/4.67 $less_int(sK8,sK8)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_62569,c_60477])).
% 31.05/4.67
% 31.05/4.67 cnf(c_62611,plain,
% 31.05/4.67 (~$less_int(sP5_iProver_def,sK13)|$sum_int(1,tb2t(get(int,int,sP0_iProver_def,get(int,int,sP1_iProver_def,sP15_iProver_def)))) = sP17_iProver_def|
% 31.05/4.67 $less_int(sK8,sK8)),
% 31.05/4.67 inference(light_normalisation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_62578,c_2022,c_2023,c_2024])).
% 31.05/4.67
% 31.05/4.67 cnf(c_63217,plain,
% 31.05/4.67 (~$less_int(f(X0_3),sP5_iProver_def)|~$less_int(X0_3,n)|~$less_int(sP5_iProver_def,X0_3)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_98,c_60773])).
% 31.05/4.67
% 31.05/4.67 cnf(c_63230,plain,
% 31.05/4.67 (~$less_int(sK8,n)|~$less_int(sP5_iProver_def,sK8)|~$less_int(sP6_iProver_def,sP5_iProver_def)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2013,c_63217])).
% 31.05/4.67
% 31.05/4.67 cnf(c_63231,plain,
% 31.05/4.67 (~$less_int(sK8,n)|~$less_int(sP6_iProver_def,sP5_iProver_def)),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_63230,c_62369])).
% 31.05/4.67
% 31.05/4.67 cnf(c_63508,plain,
% 31.05/4.67 ($sum_int($uminus_int($sum_int(X0_3,X1_3)),$uminus_int($uminus_int(X0_3))) = $sum_int($uminus_int(X1_3),sP5_iProver_def)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_60976,c_62189])).
% 31.05/4.67
% 31.05/4.67 cnf(c_63529,plain,
% 31.05/4.67 ($sum_int($uminus_int($uminus_int(X0_3)),$uminus_int($sum_int(X0_3,X1_3))) = $sum_int(sP5_iProver_def,$uminus_int(X1_3))),
% 31.05/4.67 inference(theory_normalisation,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_63508,c_65,c_66,c_54,c_55])).
% 31.05/4.67
% 31.05/4.67 cnf(c_66754,plain,
% 31.05/4.67 ($less_int($uminus_int(sP5_iProver_def),$uminus_int($uminus_int(1)))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_60976,c_62190])).
% 31.05/4.67
% 31.05/4.67 cnf(c_80527,plain,
% 31.05/4.67 (~$less_int(sK9,sK13)|~$less_int(sK13,sK8)|$less_int(X0_3,tb2t(get(int,int,sP0_iProver_def,sP15_iProver_def)))|
% 31.05/4.67 $less_int(sP9_iProver_def,$sum_int(X0_3,1))),
% 31.05/4.67 inference(superposition,[status(thm)],[c_2022,c_62393])).
% 31.05/4.67
% 31.05/4.67 cnf(c_80583,plain,
% 31.05/4.67 (~$less_int(sK9,sK13)|~$less_int(sK13,sK8)|$less_int(sP9_iProver_def,$sum_int(X0_3,1))|
% 31.05/4.67 $less_int(X0_3,sP17_iProver_def)),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_80527,c_2023,c_2024])).
% 31.05/4.67
% 31.05/4.67 cnf(c_80584,plain,
% 31.05/4.67 (~$less_int(sK9,sK13)|$less_int(sP9_iProver_def,$sum_int(X0_3,1))|
% 31.05/4.67 $less_int(X0_3,sP17_iProver_def)),
% 31.05/4.67 inference(forward_subsumption_resolution,[status(thm)],[c_80583,c_2043])).
% 31.05/4.67
% 31.05/4.67 cnf(c_82254,plain,
% 31.05/4.67 (~$less_int(sK9,sK13)|sK9 = sP5_iProver_def|$less_int(sP9_iProver_def,sP9_iProver_def)|
% 31.05/4.67 $less_int(sP14_iProver_def,sP17_iProver_def)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_61652,c_80584])).
% 31.05/4.67
% 31.05/4.67 cnf(c_82268,plain,
% 31.05/4.67 (~$less_int(sK9,sK13)|sK9 = sP5_iProver_def),
% 31.05/4.67 inference(forward_subsumption_resolution,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_82254,c_2044,c_61])).
% 31.05/4.67
% 31.05/4.67 cnf(c_82371,plain,
% 31.05/4.67 (sK9 = sK13|sK9 = sP5_iProver_def|$less_int(sK13,sK9)),
% 31.05/4.67 inference(superposition,[status(thm)],[c_59,c_82268])).
% 31.05/4.67
% 31.05/4.67 cnf(c_84424,plain,
% 31.05/4.67 (sK9 = sP5_iProver_def|sK9 = sK13),
% 31.05/4.67 inference(global_subsumption_just,[status(thm)],[c_82371,c_4736,c_82371])).
% 31.05/4.67
% 31.05/4.67 cnf(c_84425,plain,
% 31.05/4.67 (sK9 = sK13|sK9 = sP5_iProver_def),
% 31.05/4.67 inference(renaming,[status(thm)],[c_84424])).
% 31.05/4.67
% 31.05/4.67 cnf(c_84479,plain,
% 31.05/4.67 (t2tb(sK9) = sP15_iProver_def|sK9 = sP5_iProver_def),
% 31.05/4.67 inference(superposition,[status(thm)],[c_84425,c_2022])).
% 31.05/4.67
% 31.05/4.67 cnf(c_84482,plain,
% 31.05/4.67 (sK9 = sP5_iProver_def|sP7_iProver_def = sP15_iProver_def),
% 31.05/4.67 inference(light_normalisation,[status(thm)],[c_84479,c_2014])).
% 31.05/4.67
% 31.05/4.67 cnf(c_85119,plain,
% 31.05/4.67 ($false),
% 31.05/4.67 inference(smt_impl_just,
% 31.05/4.67 [status(thm)],
% 31.05/4.67 [c_84482,c_66754,c_63231,c_62611,c_63529,c_60862,c_60878,
% 31.05/4.67 c_60805,c_60523,c_60411,c_2044,c_2021,c_2018,c_2017,c_2014,
% 31.05/4.67 c_2010,c_697])).
% 31.05/4.67
% 31.05/4.67
% 31.05/4.67 % SZS output end CNFRefutation for theBenchmark.p
% 31.05/4.67
% 31.05/4.67
%------------------------------------------------------------------------------