TSTP Solution File: SWW631_2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW631_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 00:39:58 EDT 2023
% Result : Theorem 23.80s 3.67s
% Output : CNFRefutation 23.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW631_2 : TPTP v8.1.2. Released v6.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 19:12:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running TFA theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.80/3.67 % SZS status Started for theBenchmark.p
% 23.80/3.67 % SZS status Theorem for theBenchmark.p
% 23.80/3.67
% 23.80/3.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.80/3.67
% 23.80/3.67 ------ iProver source info
% 23.80/3.67
% 23.80/3.67 git: date: 2023-05-31 18:12:56 +0000
% 23.80/3.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.80/3.67 git: non_committed_changes: false
% 23.80/3.67 git: last_make_outside_of_git: false
% 23.80/3.67
% 23.80/3.67 ------ Parsing...
% 23.80/3.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.80/3.67
% 23.80/3.67 ------ 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
% 23.80/3.67
% 23.80/3.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.80/3.67
% 23.80/3.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.80/3.67 ------ Proving...
% 23.80/3.67 ------ Problem Properties
% 23.80/3.67
% 23.80/3.67
% 23.80/3.67 clauses 87
% 23.80/3.67 conjectures 21
% 23.80/3.67 EPR 18
% 23.80/3.67 Horn 77
% 23.80/3.67 unary 52
% 23.80/3.67 binary 17
% 23.80/3.67 lits 146
% 23.80/3.67 lits eq 43
% 23.80/3.67 fd_pure 1
% 23.80/3.67 fd_pseudo 0
% 23.80/3.67 fd_cond 2
% 23.80/3.67 fd_pseudo_cond 3
% 23.80/3.67 AC symbols 2
% 23.80/3.67
% 23.80/3.67 ------ Input Options Time Limit: Unbounded
% 23.80/3.67
% 23.80/3.67
% 23.80/3.67 ------
% 23.80/3.67 Current options:
% 23.80/3.67 ------
% 23.80/3.67
% 23.80/3.67
% 23.80/3.67
% 23.80/3.67
% 23.80/3.67 ------ Proving...
% 23.80/3.67
% 23.80/3.67
% 23.80/3.67 % SZS status Theorem for theBenchmark.p
% 23.80/3.67
% 23.80/3.67 % SZS output start CNFRefutation for theBenchmark.p
% 23.80/3.67
% 23.80/3.67 tff(f26,axiom,(
% 23.80/3.67 ! [X14 : $int] : tb2t(t2tb(X14)) = X14),
% 23.80/3.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)).
% 23.80/3.67
% 23.80/3.67 tff(f27,axiom,(
% 23.80/3.67 ! [X15 : uni] : t2tb(tb2t(X15)) = X15),
% 23.80/3.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)).
% 23.80/3.67
% 23.80/3.67 tff(f34,axiom,(
% 23.80/3.67 ! [X18 : $int] : (($less(X18,n) & $less(0,X18)) => ($less(f(X18),X18) & $lesseq(0,f(X18))))),
% 23.80/3.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_prop)).
% 23.80/3.67
% 23.80/3.67 tff(f42,conjecture,(
% 23.80/3.67 $lesseq(0,n) => ($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)) => $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))))))))))))))))))),
% 23.80/3.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_distance)).
% 23.80/3.67
% 23.80/3.67 tff(f43,negated_conjecture,(
% 23.80/3.67 ~($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))))))))))))))))))))),
% 23.80/3.67 inference(negated_conjecture,[],[f42])).
% 23.80/3.67
% 23.80/3.67 tff(f45,plain,(
% 23.80/3.67 ! [X18 : $int] : (($less(X18,n) & $less(0,X18)) => ($less(f(X18),X18) & ~$less(f(X18),0)))),
% 23.80/3.67 inference(theory_normalization,[],[f34])).
% 23.80/3.67
% 23.80/3.67 tff(f49,plain,(
% 23.80/3.67 ~(~$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))))))))))))))))))))),
% 23.80/3.67 inference(theory_normalization,[],[f43])).
% 23.80/3.67
% 23.80/3.67 tff(f50,plain,(
% 23.80/3.67 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 23.80/3.67 introduced(theory_axiom_138,[])).
% 23.80/3.67
% 23.80/3.67 tff(f51,plain,(
% 23.80/3.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 23.80/3.67 introduced(theory_axiom_139,[])).
% 23.80/3.67
% 23.80/3.67 tff(f52,plain,(
% 23.80/3.67 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 23.80/3.67 introduced(theory_axiom_140,[])).
% 23.80/3.67
% 23.80/3.67 tff(f55,plain,(
% 23.80/3.67 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 23.80/3.67 introduced(theory_axiom_145,[])).
% 23.80/3.67
% 23.80/3.67 tff(f56,plain,(
% 23.80/3.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 23.80/3.67 introduced(theory_axiom_146,[])).
% 23.80/3.67
% 23.80/3.67 tff(f57,plain,(
% 23.80/3.67 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 23.80/3.67 introduced(theory_axiom_147,[])).
% 23.80/3.67
% 23.80/3.67 tff(f59,plain,(
% 23.80/3.67 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 23.80/3.67 introduced(theory_axiom_150,[])).
% 23.80/3.67
% 23.80/3.67 tff(f61,plain,(
% 23.80/3.67 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 23.80/3.67 introduced(theory_axiom_138,[])).
% 23.80/3.67
% 23.80/3.67 tff(f62,plain,(
% 23.80/3.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 23.80/3.67 introduced(theory_axiom_139,[])).
% 23.80/3.67
% 23.80/3.67 tff(f67,plain,(
% 23.80/3.67 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 23.80/3.67 introduced(theory_axiom_164,[])).
% 23.80/3.67
% 23.80/3.67 tff(f85,plain,(
% 23.80/3.67 ! [X0 : $int] : tb2t(t2tb(X0)) = X0),
% 23.80/3.67 inference(rectify,[],[f26])).
% 23.80/3.67
% 23.80/3.67 tff(f86,plain,(
% 23.80/3.67 ! [X0 : uni] : t2tb(tb2t(X0)) = X0),
% 23.80/3.67 inference(rectify,[],[f27])).
% 23.80/3.67
% 23.80/3.67 tff(f90,plain,(
% 23.80/3.67 ! [X0 : $int] : (($less(X0,n) & $less(0,X0)) => ($less(f(X0),X0) & ~$less(f(X0),0)))),
% 23.80/3.67 inference(rectify,[],[f45])).
% 23.80/3.67
% 23.80/3.67 tff(f97,plain,(
% 23.80/3.67 ~(~$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))))))))))))))))))))),
% 23.80/3.67 inference(rectify,[],[f49])).
% 23.80/3.67
% 23.80/3.67 tff(f110,plain,(
% 23.80/3.67 ! [X0 : $int] : (($less(f(X0),X0) & ~$less(f(X0),0)) | (~$less(X0,n) | ~$less(0,X0)))),
% 23.80/3.67 inference(ennf_transformation,[],[f90])).
% 23.80/3.67
% 23.80/3.67 tff(f111,plain,(
% 23.80/3.67 ! [X0 : $int] : (($less(f(X0),X0) & ~$less(f(X0),0)) | ~$less(X0,n) | ~$less(0,X0))),
% 23.80/3.67 inference(flattening,[],[f110])).
% 23.80/3.67
% 23.80/3.67 tff(f116,plain,(
% 23.80/3.67 ((? [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)),
% 23.80/3.67 inference(ennf_transformation,[],[f97])).
% 23.80/3.67
% 23.80/3.67 tff(f117,plain,(
% 23.80/3.67 ? [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)),
% 23.80/3.67 inference(flattening,[],[f116])).
% 23.80/3.67
% 23.80/3.67 tff(f125,plain,(
% 23.80/3.67 ? [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)),
% 23.80/3.67 inference(rectify,[],[f117])).
% 23.80/3.67
% 23.80/3.67 tff(f126,plain,(
% 23.80/3.67 ? [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))),
% 23.80/3.67 introduced(choice_axiom,[])).
% 23.80/3.67
% 23.80/3.67 tff(f127,plain,(
% 23.80/3.67 ? [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))),
% 23.80/3.67 introduced(choice_axiom,[])).
% 23.80/3.67
% 23.80/3.67 tff(f128,plain,(
% 23.80/3.67 ? [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)))),
% 23.80/3.67 introduced(choice_axiom,[])).
% 23.80/3.67
% 23.80/3.67 tff(f129,plain,(
% 23.80/3.67 ? [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)),
% 23.80/3.67 introduced(choice_axiom,[])).
% 23.80/3.67
% 23.80/3.67 tff(f130,plain,(
% 23.80/3.67 ? [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)),
% 23.80/3.67 introduced(choice_axiom,[])).
% 23.80/3.67
% 23.80/3.67 tff(f131,plain,(
% 23.80/3.67 ? [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) & $less(sK12,sK13))),
% 23.80/3.67 introduced(choice_axiom,[])).
% 23.80/3.67
% 23.80/3.67 tff(f132,plain,(
% 23.80/3.67 ((((((~$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)),
% 23.80/3.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f125,f131,f130,f129,f128,f127,f126])).
% 23.80/3.68
% 23.80/3.68 tff(f158,plain,(
% 23.80/3.68 ( ! [X0 : $int] : (tb2t(t2tb(X0)) = X0) )),
% 23.80/3.68 inference(cnf_transformation,[],[f85])).
% 23.80/3.68
% 23.80/3.68 tff(f159,plain,(
% 23.80/3.68 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )),
% 23.80/3.68 inference(cnf_transformation,[],[f86])).
% 23.80/3.68
% 23.80/3.68 tff(f166,plain,(
% 23.80/3.68 ( ! [X0 : $int] : (~$less(f(X0),0) | ~$less(X0,n) | ~$less(0,X0)) )),
% 23.80/3.68 inference(cnf_transformation,[],[f111])).
% 23.80/3.68
% 23.80/3.68 tff(f184,plain,(
% 23.80/3.68 ~$less(0,0)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f191,plain,(
% 23.80/3.68 ~$less(sK8,1)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f192,plain,(
% 23.80/3.68 ~$less($sum(n,$uminus(1)),sK8)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f194,plain,(
% 23.80/3.68 $uminus(1) = tb2t(get(int,int,t2tb1(sK7),t2tb(0)))),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f197,plain,(
% 23.80/3.68 ( ! [X12 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(X12))),f(X12)) | ~$less(X12,sK8) | ~$less(0,X12)) )),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f200,plain,(
% 23.80/3.68 ( ! [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)) )),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f201,plain,(
% 23.80/3.68 ( ! [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)) )),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f203,plain,(
% 23.80/3.68 ~$less(sK9,f(sK8))),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f204,plain,(
% 23.80/3.68 $less(sK9,sK8)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f206,plain,(
% 23.80/3.68 ( ! [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)) )),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f208,plain,(
% 23.80/3.68 ~$less(sK9,0)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f210,plain,(
% 23.80/3.68 ~$less(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),f(sK8))),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f214,plain,(
% 23.80/3.68 tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = sK12),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f215,plain,(
% 23.80/3.68 $less(sK12,sK13)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f216,plain,(
% 23.80/3.68 $less(sK13,sK8)),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 tff(f217,plain,(
% 23.80/3.68 ~$less(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK13))))),
% 23.80/3.68 inference(cnf_transformation,[],[f132])).
% 23.80/3.68
% 23.80/3.68 cnf(c_49,plain,
% 23.80/3.68 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f67])).
% 23.80/3.68
% 23.80/3.68 cnf(c_54,plain,
% 23.80/3.68 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 23.80/3.68 inference(cnf_transformation,[],[f62])).
% 23.80/3.68
% 23.80/3.68 cnf(c_55,plain,
% 23.80/3.68 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f61])).
% 23.80/3.68
% 23.80/3.68 cnf(c_57,plain,
% 23.80/3.68 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f59])).
% 23.80/3.68
% 23.80/3.68 cnf(c_59,plain,
% 23.80/3.68 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f57])).
% 23.80/3.68
% 23.80/3.68 cnf(c_60,plain,
% 23.80/3.68 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f56])).
% 23.80/3.68
% 23.80/3.68 cnf(c_61,plain,
% 23.80/3.68 (~$less_int(X0_3,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f55])).
% 23.80/3.68
% 23.80/3.68 cnf(c_64,plain,
% 23.80/3.68 ($sum_int(X0_3,0) = X0_3),
% 23.80/3.68 inference(cnf_transformation,[],[f52])).
% 23.80/3.68
% 23.80/3.68 cnf(c_65,plain,
% 23.80/3.68 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 23.80/3.68 inference(cnf_transformation,[],[f51])).
% 23.80/3.68
% 23.80/3.68 cnf(c_66,plain,
% 23.80/3.68 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f50])).
% 23.80/3.68
% 23.80/3.68 cnf(c_92,plain,
% 23.80/3.68 (tb2t(t2tb(X0_3)) = X0_3),
% 23.80/3.68 inference(cnf_transformation,[],[f158])).
% 23.80/3.68
% 23.80/3.68 cnf(c_93,plain,
% 23.80/3.68 (t2tb(tb2t(X0_13)) = X0_13),
% 23.80/3.68 inference(cnf_transformation,[],[f159])).
% 23.80/3.68
% 23.80/3.68 cnf(c_98,plain,
% 23.80/3.68 (~$less_int(f(X0_3),0)|~$less_int(X0_3,n)|~$less_int(0,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f166])).
% 23.80/3.68
% 23.80/3.68 cnf(c_113,negated_conjecture,
% 23.80/3.68 (~$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK13))))),
% 23.80/3.68 inference(cnf_transformation,[],[f217])).
% 23.80/3.68
% 23.80/3.68 cnf(c_114,negated_conjecture,
% 23.80/3.68 ($less_int(sK13,sK8)),
% 23.80/3.68 inference(cnf_transformation,[],[f216])).
% 23.80/3.68
% 23.80/3.68 cnf(c_115,negated_conjecture,
% 23.80/3.68 ($less_int(sK12,sK13)),
% 23.80/3.68 inference(cnf_transformation,[],[f215])).
% 23.80/3.68
% 23.80/3.68 cnf(c_116,negated_conjecture,
% 23.80/3.68 (tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))) = sK12),
% 23.80/3.68 inference(cnf_transformation,[],[f214])).
% 23.80/3.68
% 23.80/3.68 cnf(c_120,negated_conjecture,
% 23.80/3.68 (~$less_int(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),f(sK8))),
% 23.80/3.68 inference(cnf_transformation,[],[f210])).
% 23.80/3.68
% 23.80/3.68 cnf(c_122,negated_conjecture,
% 23.80/3.68 (~$less_int(sK9,0)),
% 23.80/3.68 inference(cnf_transformation,[],[f208])).
% 23.80/3.68
% 23.80/3.68 cnf(c_124,negated_conjecture,
% 23.80/3.68 (~$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))))),
% 23.80/3.68 inference(cnf_transformation,[],[f206])).
% 23.80/3.68
% 23.80/3.68 cnf(c_126,negated_conjecture,
% 23.80/3.68 ($less_int(sK9,sK8)),
% 23.80/3.68 inference(cnf_transformation,[],[f204])).
% 23.80/3.68
% 23.80/3.68 cnf(c_127,negated_conjecture,
% 23.80/3.68 (~$less_int(sK9,f(sK8))),
% 23.80/3.68 inference(cnf_transformation,[],[f203])).
% 23.80/3.68
% 23.80/3.68 cnf(c_129,negated_conjecture,
% 23.80/3.68 (~$less_int(tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3))),X1_3)|~$less_int(X1_3,X0_3)|
% 23.80/3.68 ~$less_int(X0_3,sK8)|~$less_int(0,X0_3)|$less_int(tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(X0_3)))),tb2t(get(int,int,t2tb1(sK6),t2tb(X1_3))))),
% 23.80/3.68 inference(cnf_transformation,[],[f201])).
% 23.80/3.68
% 23.80/3.68 cnf(c_130,negated_conjecture,
% 23.80/3.68 (~$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)))),
% 23.80/3.68 inference(cnf_transformation,[],[f200])).
% 23.80/3.68
% 23.80/3.68 cnf(c_133,negated_conjecture,
% 23.80/3.68 (~$less_int(tb2t(get(int,int,t2tb1(sK7),t2tb(X0_3))),f(X0_3))|~$less_int(X0_3,sK8)|
% 23.80/3.68 ~$less_int(0,X0_3)),
% 23.80/3.68 inference(cnf_transformation,[],[f197])).
% 23.80/3.68
% 23.80/3.68 cnf(c_136,negated_conjecture,
% 23.80/3.68 (tb2t(get(int,int,t2tb1(sK7),t2tb(0))) = $uminus_int(1)),
% 23.80/3.68 inference(cnf_transformation,[],[f194])).
% 23.80/3.68
% 23.80/3.68 cnf(c_138,negated_conjecture,
% 23.80/3.68 (~$less_int($sum_int(n,$uminus_int(1)),sK8)),
% 23.80/3.68 inference(cnf_transformation,[],[f192])).
% 23.80/3.68
% 23.80/3.68 cnf(c_139,negated_conjecture,
% 23.80/3.68 (~$less_int(sK8,1)),
% 23.80/3.68 inference(cnf_transformation,[],[f191])).
% 23.80/3.68
% 23.80/3.68 cnf(c_146,negated_conjecture,
% 23.80/3.68 (~$less_int(0,0)),
% 23.80/3.68 inference(cnf_transformation,[],[f184])).
% 23.80/3.68
% 23.80/3.68 cnf(c_172,plain,
% 23.80/3.68 ($less_int(0,$sum_int(0,1))|$less_int(0,0)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_57])).
% 23.80/3.68
% 23.80/3.68 cnf(c_206,negated_conjecture,
% 23.80/3.68 (~$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)))),
% 23.80/3.68 inference(theory_normalisation,[status(thm)],[c_130,c_54,c_55,c_65,c_66])).
% 23.80/3.68
% 23.80/3.68 cnf(c_696,plain,
% 23.80/3.68 (~$less_int($sum_int(-1,n),sK8)),
% 23.80/3.68 inference(smt_theory_normalisation,[status(thm)],[c_138])).
% 23.80/3.68
% 23.80/3.68 cnf(c_697,plain,
% 23.80/3.68 (~$less_int($sum_int(n,-1),sK8)),
% 23.80/3.68 inference(theory_normalisation,[status(thm)],[c_696,c_65,c_66,c_54,c_55])).
% 23.80/3.68
% 23.80/3.68 cnf(c_757,plain,
% 23.80/3.68 (tb2t(get(int,int,t2tb1(sK7),t2tb(0))) = -1),
% 23.80/3.68 inference(smt_theory_normalisation,[status(thm)],[c_136])).
% 23.80/3.68
% 23.80/3.68 cnf(c_758,plain,
% 23.80/3.68 (~$less_int(sK12,f(sK8))),
% 23.80/3.68 inference(light_normalisation,[status(thm)],[c_120,c_116])).
% 23.80/3.68
% 23.80/3.68 cnf(c_2008,plain,(X0_3 = X0_3),theory(equality)).
% 23.80/3.68
% 23.80/3.68 cnf(c_2019,plain,
% 23.80/3.68 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 23.80/3.68 theory(equality)).
% 23.80/3.68
% 23.80/3.68 cnf(c_3482,plain,
% 23.80/3.68 (get(int,int,t2tb1(sK7),t2tb(sK9)) = t2tb(sK12)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_116,c_93])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3582,plain,
% 23.80/3.68 (~$less_int(tb2t(get(int,int,t2tb1(sK7),t2tb(sK9))),X0_3)|~$less_int(X0_3,sK9)|
% 23.80/3.68 ~$less_int(sK9,sK8)|~$less_int(0,sK9)|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3))))),
% 23.80/3.68 inference(superposition,[status(thm)],[c_3482,c_129])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3595,plain,
% 23.80/3.68 (~$less_int(tb2t(t2tb(sK12)),X0_3)|~$less_int(X0_3,sK9)|~$less_int(sK9,sK8)|
% 23.80/3.68 ~$less_int(0,sK9)|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3))))),
% 23.80/3.68 inference(light_normalisation,[status(thm)],[c_3582,c_3482])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3596,plain,
% 23.80/3.68 (~$less_int(tb2t(t2tb(sK12)),X0_3)|~$less_int(X0_3,sK9)|~$less_int(0,sK9)|
% 23.80/3.68 $less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3))))),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_3595,c_126])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3754,plain,
% 23.80/3.68 (~$less_int(X0_3,sK9)|~$less_int(sK12,X0_3)|~$less_int(0,sK9)|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3))))),
% 23.80/3.68 inference(demodulation,[status(thm)],[c_3596,c_92])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3766,plain,
% 23.80/3.68 (~$less_int(sK12,sK13)|~$less_int(sK13,sK9)|~$less_int(0,sK9)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_3754,c_113])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3767,plain,
% 23.80/3.68 (~$less_int(sK13,sK9)|~$less_int(0,sK9)),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_3766,c_115])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3837,plain,
% 23.80/3.68 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_66,c_57])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3838,plain,
% 23.80/3.68 ($sum_int(0,X0_3) = X0_3),
% 23.80/3.68 inference(superposition,[status(thm)],[c_66,c_64])).
% 23.80/3.68
% 23.80/3.68 cnf(c_3868,plain,
% 23.80/3.68 ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_3838,c_57])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4044,plain,
% 23.80/3.68 (sK9 = 0|$less_int(0,sK9)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_122])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4046,plain,
% 23.80/3.68 (f(sK8) = sK9|$less_int(f(sK8),sK9)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_127])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4052,plain,
% 23.80/3.68 (~$less_int(sK13,sK9)|sK9 = 0|$less_int(sK9,0)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_3767])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4078,plain,
% 23.80/3.68 (~$less_int(sK13,sK9)|sK9 = 0),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_4052,c_122])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4142,plain,
% 23.80/3.68 ($less_int(0,sK8)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_3868,c_139])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4161,plain,
% 23.80/3.68 (~$less_int(sK9,sK8)|$sum_int(1,tb2t(get(int,int,t2tb1(sK6),get(int,int,t2tb1(sK7),t2tb(sK9))))) = tb2t(get(int,int,t2tb1(sK6),t2tb(sK9)))|
% 23.80/3.68 sK9 = 0),
% 23.80/3.68 inference(superposition,[status(thm)],[c_4044,c_206])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4164,plain,
% 23.80/3.68 (~$less_int(sK9,sK8)|$sum_int(1,tb2t(get(int,int,t2tb1(sK6),t2tb(sK12)))) = tb2t(get(int,int,t2tb1(sK6),t2tb(sK9)))|
% 23.80/3.68 sK9 = 0),
% 23.80/3.68 inference(light_normalisation,[status(thm)],[c_4161,c_3482])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4165,plain,
% 23.80/3.68 ($sum_int(1,tb2t(get(int,int,t2tb1(sK6),t2tb(sK12)))) = tb2t(get(int,int,t2tb1(sK6),t2tb(sK9)))|
% 23.80/3.68 sK9 = 0),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_4164,c_126])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4182,plain,
% 23.80/3.68 (sK9 = sK13|sK9 = 0|$less_int(sK9,sK13)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_4078])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4293,plain,
% 23.80/3.68 (~$less_int(sK8,X0_3)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_114,c_60])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4296,plain,
% 23.80/3.68 (~$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(X0_3))),X1_3)|~$less_int(X0_3,sK8)|
% 23.80/3.68 ~$less_int(sK9,X0_3)|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),X1_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_124,c_60])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4573,plain,
% 23.80/3.68 (X0_3 = sK8|$less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_4293])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4610,plain,
% 23.80/3.68 (~$less_int(X0_3,sK13)|~$less_int(sK13,sK8)|$less_int(X0_3,sK8)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_60])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4809,plain,
% 23.80/3.68 (X0_3 != X1_3|X2_3 != $sum_int(X3_3,1)|~$less_int(X1_3,$sum_int(X3_3,1))|
% 23.80/3.68 $less_int(X0_3,X2_3)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_2019])).
% 23.80/3.68
% 23.80/3.68 cnf(c_4813,plain,
% 23.80/3.68 (X0_3 != sK13|X1_3 != sK8|~$less_int(sK13,sK8)|$less_int(X0_3,X1_3)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_2019])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5316,plain,
% 23.80/3.68 (X0_3 != sK13|sK8 != sK8|~$less_int(sK13,sK8)|$less_int(X0_3,sK8)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_4813])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5317,plain,
% 23.80/3.68 (sK8 = sK8),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_2008])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5438,plain,
% 23.80/3.68 (X0_3 = sK13|$less_int(X0_3,sK13)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_59])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5814,plain,
% 23.80/3.68 (~$less_int(sK12,f(sK9))|~$less_int(sK9,sK8)|~$less_int(0,sK9)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_116,c_133])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5815,plain,
% 23.80/3.68 (~$less_int(sK12,f(sK9))|~$less_int(0,sK9)),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_5814,c_126])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5869,plain,
% 23.80/3.68 (get(int,int,t2tb1(sK7),t2tb(sK9)) = t2tb(sK12)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_116,c_93])).
% 23.80/3.68
% 23.80/3.68 cnf(c_5870,plain,
% 23.80/3.68 (get(int,int,t2tb1(sK7),t2tb(0)) = t2tb(-1)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_757,c_93])).
% 23.80/3.68
% 23.80/3.68 cnf(c_6064,plain,
% 23.80/3.68 ($sum_int(X0_3,1) != $sum_int(X0_3,1)|X1_3 != X2_3|~$less_int(X2_3,$sum_int(X0_3,1))|
% 23.80/3.68 $less_int(X1_3,$sum_int(X0_3,1))),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_4809])).
% 23.80/3.68
% 23.80/3.68 cnf(c_6065,plain,
% 23.80/3.68 ($sum_int(X0_3,1) = $sum_int(X0_3,1)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_2008])).
% 23.80/3.68
% 23.80/3.68 cnf(c_6066,plain,
% 23.80/3.68 ($sum_int(0,1) = $sum_int(0,1)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_6065])).
% 23.80/3.68
% 23.80/3.68 cnf(c_7536,plain,
% 23.80/3.68 ($less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(global_subsumption_just,
% 23.80/3.68 [status(thm)],
% 23.80/3.68 [c_4573,c_114,c_4610,c_5316,c_5317,c_5438])).
% 23.80/3.68
% 23.80/3.68 cnf(c_8089,plain,
% 23.80/3.68 (sK9 = 0|$less_int(0,sK9)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_122])).
% 23.80/3.68
% 23.80/3.68 cnf(c_9533,plain,
% 23.80/3.68 (~$less_int(sK8,X0_3)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_114,c_60])).
% 23.80/3.68
% 23.80/3.68 cnf(c_9534,plain,
% 23.80/3.68 (~$less_int(sK13,X0_3)|$less_int(sK12,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_115,c_60])).
% 23.80/3.68
% 23.80/3.68 cnf(c_9991,plain,
% 23.80/3.68 (sK9 = 0|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK12))),X0_3)|
% 23.80/3.68 $less_int(X0_3,tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))))),
% 23.80/3.68 inference(superposition,[status(thm)],[c_4165,c_3837])).
% 23.80/3.68
% 23.80/3.68 cnf(c_11974,plain,
% 23.80/3.68 (X0_3 = sK8|$less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_59,c_9533])).
% 23.80/3.68
% 23.80/3.68 cnf(c_18950,plain,
% 23.80/3.68 ($sum_int(X0_3,1) != $sum_int(X0_3,1)|sK9 != X1_3|~$less_int(X1_3,$sum_int(X0_3,1))|
% 23.80/3.68 $less_int(sK9,$sum_int(X0_3,1))),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_6064])).
% 23.80/3.68
% 23.80/3.68 cnf(c_18953,plain,
% 23.80/3.68 ($sum_int(0,1) != $sum_int(0,1)|sK9 != 0|~$less_int(0,$sum_int(0,1))|
% 23.80/3.68 $less_int(sK9,$sum_int(0,1))),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_18950])).
% 23.80/3.68
% 23.80/3.68 cnf(c_19053,plain,
% 23.80/3.68 (~$less_int(sK9,$sum_int(X0_3,1))|~$less_int(X0_3,sK9)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_49])).
% 23.80/3.68
% 23.80/3.68 cnf(c_19054,plain,
% 23.80/3.68 (~$less_int(sK9,$sum_int(0,1))|~$less_int(0,sK9)),
% 23.80/3.68 inference(instantiation,[status(thm)],[c_19053])).
% 23.80/3.68
% 23.80/3.68 cnf(c_24964,plain,
% 23.80/3.68 (sK9 = 0|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK13))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))))),
% 23.80/3.68 inference(superposition,[status(thm)],[c_9991,c_113])).
% 23.80/3.68
% 23.80/3.68 cnf(c_25837,plain,
% 23.80/3.68 (~$less_int(sK9,sK13)|~$less_int(sK13,sK8)|sK9 = 0|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))))),
% 23.80/3.68 inference(superposition,[status(thm)],[c_24964,c_4296])).
% 23.80/3.68
% 23.80/3.68 cnf(c_25854,plain,
% 23.80/3.68 (~$less_int(sK9,sK13)|sK9 = 0),
% 23.80/3.68 inference(forward_subsumption_resolution,
% 23.80/3.68 [status(thm)],
% 23.80/3.68 [c_25837,c_61,c_114])).
% 23.80/3.68
% 23.80/3.68 cnf(c_25901,plain,
% 23.80/3.68 (sK9 = sK13|sK9 = 0),
% 23.80/3.68 inference(backward_subsumption_resolution,[status(thm)],[c_4182,c_25854])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26142,plain,
% 23.80/3.68 ($less_int(X0_3,sK8)|$less_int(sK13,X0_3)),
% 23.80/3.68 inference(global_subsumption_just,[status(thm)],[c_11974,c_7536])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26157,plain,
% 23.80/3.68 ($less_int(X0_3,sK8)|$less_int(sK12,X0_3)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_26142,c_9534])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26311,plain,
% 23.80/3.68 (sK9 = 0|$less_int(tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))),tb2t(get(int,int,t2tb1(sK6),t2tb(sK9))))),
% 23.80/3.68 inference(superposition,[status(thm)],[c_25901,c_24964])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26405,plain,
% 23.80/3.68 (sK9 = 0),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_26311,c_61])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26502,plain,
% 23.80/3.68 (f(sK8) = 0|$less_int(f(sK8),0)),
% 23.80/3.68 inference(demodulation,[status(thm)],[c_4046,c_26405])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26620,plain,
% 23.80/3.68 (~$less_int(sK8,n)|~$less_int(0,sK8)|f(sK8) = 0),
% 23.80/3.68 inference(superposition,[status(thm)],[c_26502,c_98])).
% 23.80/3.68
% 23.80/3.68 cnf(c_26621,plain,
% 23.80/3.68 (~$less_int(sK8,n)|f(sK8) = 0),
% 23.80/3.68 inference(forward_subsumption_resolution,[status(thm)],[c_26620,c_4142])).
% 23.80/3.68
% 23.80/3.68 cnf(c_29839,plain,
% 23.80/3.68 (~$less_int(0,sK9)|$less_int(f(sK9),sK8)),
% 23.80/3.68 inference(superposition,[status(thm)],[c_26157,c_5815])).
% 23.80/3.68
% 23.80/3.68 cnf(c_31227,plain,
% 23.80/3.68 (~$less_int(0,sK9)),
% 23.80/3.68 inference(global_subsumption_just,
% 23.80/3.68 [status(thm)],
% 23.80/3.68 [c_29839,c_146,c_172,c_6066,c_18953,c_19054,c_26405])).
% 23.80/3.68
% 23.80/3.68 cnf(c_31229,plain,
% 23.80/3.68 (sK9 = 0),
% 23.80/3.68 inference(backward_subsumption_resolution,[status(thm)],[c_8089,c_31227])).
% 23.80/3.68
% 23.80/3.68 cnf(c_31248,plain,
% 23.80/3.68 (get(int,int,t2tb1(sK7),t2tb(0)) = t2tb(sK12)),
% 23.80/3.68 inference(demodulation,[status(thm)],[c_5869,c_31229])).
% 23.80/3.68
% 23.80/3.68 cnf(c_31258,plain,
% 23.80/3.68 (t2tb(sK12) = t2tb(-1)),
% 23.80/3.68 inference(light_normalisation,[status(thm)],[c_31248,c_5870])).
% 23.80/3.68
% 23.80/3.68 cnf(c_31482,plain,
% 23.80/3.68 (tb2t(t2tb(sK12)) = -1),
% 23.80/3.68 inference(superposition,[status(thm)],[c_31258,c_92])).
% 23.80/3.68
% 23.80/3.68 cnf(c_34268,plain,
% 23.80/3.68 (sK12 = -1),
% 23.80/3.68 inference(demodulation,[status(thm)],[c_31482,c_92])).
% 23.80/3.68
% 23.80/3.68 cnf(c_76714,plain,
% 23.80/3.68 ($false),
% 23.80/3.68 inference(smt_impl_just,[status(thm)],[c_34268,c_26621,c_758,c_697])).
% 23.80/3.68
% 23.80/3.68
% 23.80/3.68 % SZS output end CNFRefutation for theBenchmark.p
% 23.80/3.68
% 23.80/3.68
%------------------------------------------------------------------------------