TSTP Solution File: SWW634_2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW634_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 00:39:59 EDT 2023
% Result : Theorem 4.02s 1.19s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW634_2 : TPTP v8.1.2. Released v6.1.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.13/0.36 % Computer : n002.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Aug 27 19:36:04 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.02/1.19 % SZS status Started for theBenchmark.p
% 4.02/1.19 % SZS status Theorem for theBenchmark.p
% 4.02/1.19
% 4.02/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.02/1.19
% 4.02/1.19 ------ iProver source info
% 4.02/1.19
% 4.02/1.19 git: date: 2023-05-31 18:12:56 +0000
% 4.02/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.02/1.19 git: non_committed_changes: false
% 4.02/1.19 git: last_make_outside_of_git: false
% 4.02/1.19
% 4.02/1.19 ------ Parsing...
% 4.02/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.02/1.19
% 4.02/1.19 ------ Preprocessing... sup_sim: 20 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
% 4.02/1.19
% 4.02/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.02/1.19
% 4.02/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.02/1.19 ------ Proving...
% 4.02/1.19 ------ Problem Properties
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19 clauses 158
% 4.02/1.19 conjectures 12
% 4.02/1.19 EPR 21
% 4.02/1.19 Horn 119
% 4.02/1.19 unary 55
% 4.02/1.19 binary 60
% 4.02/1.19 lits 335
% 4.02/1.19 lits eq 57
% 4.02/1.19 fd_pure 1
% 4.02/1.19 fd_pseudo 0
% 4.02/1.19 fd_cond 0
% 4.02/1.19 fd_pseudo_cond 7
% 4.02/1.19 AC symbols 2
% 4.02/1.19
% 4.02/1.19 ------ Input Options Time Limit: Unbounded
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19 ------
% 4.02/1.19 Current options:
% 4.02/1.19 ------
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19 ------ Proving...
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19 % SZS status Theorem for theBenchmark.p
% 4.02/1.19
% 4.02/1.19 % SZS output start CNFRefutation for theBenchmark.p
% 4.02/1.19
% 4.02/1.19 tff(f64,axiom,(
% 4.02/1.19 ! [X0 : ty,X20 : uni,X6 : uni,X12 : $int] : (eq_prefix1(X0,X20,X6,X12) <=> ! [X21 : $int] : (($less(X21,X12) & $lesseq(0,X21)) => get(X0,int,X20,t2tb1(X21)) = get(X0,int,X6,t2tb1(X21))))),
% 4.02/1.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq_prefix_def)).
% 4.02/1.19
% 4.02/1.19 tff(f76,conjecture,(
% 4.02/1.19 ! [X22 : $int,X10 : $int,X23 : map_int_lpmap_int_intrp,X21 : $int,X24 : map_int_int] : ((0 = X21 & 0 = X10 & n1 = X22 & $lesseq(0,X22)) => ((partial_solution1(X21,X24) & ! [X12 : $int] : ($lesseq(0,X12) => (~mem(int,t2tb1(X12),empty(int)) <=> ! [X13 : $int] : (($less(X13,X21) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X21),X13)))) & ! [X12 : $int] : ($lesseq(0,X12) => (~mem(int,t2tb1(X12),empty(int)) <=> ! [X13 : $int] : (($less(X13,X21) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X13),X21)))) & ! [X12 : $int] : (mem(int,t2tb1(X12),t2tb(below1(X22))) <=> (! [X13 : $int] : (($less(X13,X21) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12) & $less(X12,n1) & $lesseq(0,X12))) & $lesseq(0,X10) & n1 = $sum(X21,cardinal1(int,t2tb(below1(X22)))) & $lesseq(0,X21)) => ! [X8 : $int,X25 : map_int_lpmap_int_intrp,X26 : $int,X27 : map_int_int] : ((eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X10) & eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26) & ! [X20 : map_int_int] : ((eq_prefix1(int,t2tb2(X27),t2tb2(X20),X26) & partial_solution1(n1,X20)) <=> ? [X12 : $int] : (eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1) & $less(X12,X8) & $lesseq(X10,X12))) & sorted1(X25,X10,X8) & X21 = X26 & $lesseq(0,$difference(X8,X10))) => (! [X20 : map_int_int] : (partial_solution1(n1,X20) <=> ? [X12 : $int] : (eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1) & $less(X12,$difference(X8,X10)) & $lesseq(0,X12))) & sorted1(X25,0,X8) & $difference(X8,X10) = X8))))),
% 4.02/1.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_queens3)).
% 4.02/1.19
% 4.02/1.19 tff(f77,negated_conjecture,(
% 4.02/1.19 ~! [X22 : $int,X10 : $int,X23 : map_int_lpmap_int_intrp,X21 : $int,X24 : map_int_int] : ((0 = X21 & 0 = X10 & n1 = X22 & $lesseq(0,X22)) => ((partial_solution1(X21,X24) & ! [X12 : $int] : ($lesseq(0,X12) => (~mem(int,t2tb1(X12),empty(int)) <=> ! [X13 : $int] : (($less(X13,X21) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X21),X13)))) & ! [X12 : $int] : ($lesseq(0,X12) => (~mem(int,t2tb1(X12),empty(int)) <=> ! [X13 : $int] : (($less(X13,X21) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $difference($sum(X12,X13),X21)))) & ! [X12 : $int] : (mem(int,t2tb1(X12),t2tb(below1(X22))) <=> (! [X13 : $int] : (($less(X13,X21) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12) & $less(X12,n1) & $lesseq(0,X12))) & $lesseq(0,X10) & n1 = $sum(X21,cardinal1(int,t2tb(below1(X22)))) & $lesseq(0,X21)) => ! [X8 : $int,X25 : map_int_lpmap_int_intrp,X26 : $int,X27 : map_int_int] : ((eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X10) & eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26) & ! [X20 : map_int_int] : ((eq_prefix1(int,t2tb2(X27),t2tb2(X20),X26) & partial_solution1(n1,X20)) <=> ? [X12 : $int] : (eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1) & $less(X12,X8) & $lesseq(X10,X12))) & sorted1(X25,X10,X8) & X21 = X26 & $lesseq(0,$difference(X8,X10))) => (! [X20 : map_int_int] : (partial_solution1(n1,X20) <=> ? [X12 : $int] : (eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1) & $less(X12,$difference(X8,X10)) & $lesseq(0,X12))) & sorted1(X25,0,X8) & $difference(X8,X10) = X8))))),
% 4.02/1.19 inference(negated_conjecture,[],[f76])).
% 4.02/1.19
% 4.02/1.19 tff(f87,plain,(
% 4.02/1.19 ! [X0 : ty,X20 : uni,X6 : uni,X12 : $int] : (eq_prefix1(X0,X20,X6,X12) <=> ! [X21 : $int] : (($less(X21,X12) & ~$less(X21,0)) => get(X0,int,X20,t2tb1(X21)) = get(X0,int,X6,t2tb1(X21))))),
% 4.02/1.19 inference(theory_normalization,[],[f64])).
% 4.02/1.19
% 4.02/1.19 tff(f92,plain,(
% 4.02/1.19 ~! [X22 : $int,X10 : $int,X23 : map_int_lpmap_int_intrp,X21 : $int,X24 : map_int_int] : ((0 = X21 & 0 = X10 & n1 = X22 & ~$less(X22,0)) => ((partial_solution1(X21,X24) & ! [X12 : $int] : (~$less(X12,0) => (~mem(int,t2tb1(X12),empty(int)) <=> ! [X13 : $int] : (($less(X13,X21) & ~$less(X13,0)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $sum($sum(X12,X21),$uminus(X13))))) & ! [X12 : $int] : (~$less(X12,0) => (~mem(int,t2tb1(X12),empty(int)) <=> ! [X13 : $int] : (($less(X13,X21) & ~$less(X13,0)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != $sum($sum(X12,X13),$uminus(X21))))) & ! [X12 : $int] : (mem(int,t2tb1(X12),t2tb(below1(X22))) <=> (! [X13 : $int] : (($less(X13,X21) & ~$less(X13,0)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X13))) != X12) & $less(X12,n1) & ~$less(X12,0))) & ~$less(X10,0) & n1 = $sum(X21,cardinal1(int,t2tb(below1(X22)))) & ~$less(X21,0)) => ! [X8 : $int,X25 : map_int_lpmap_int_intrp,X26 : $int,X27 : map_int_int] : ((eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X10) & eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26) & ! [X20 : map_int_int] : ((eq_prefix1(int,t2tb2(X27),t2tb2(X20),X26) & partial_solution1(n1,X20)) <=> ? [X12 : $int] : (eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1) & $less(X12,X8) & ~$less(X12,X10))) & sorted1(X25,X10,X8) & X21 = X26 & ~$less($sum(X8,$uminus(X10)),0)) => (! [X20 : map_int_int] : (partial_solution1(n1,X20) <=> ? [X12 : $int] : (eq_prefix1(int,t2tb2(X20),get(map(int,int),int,t2tb3(X25),t2tb1(X12)),n1) & $less(X12,$sum(X8,$uminus(X10))) & ~$less(X12,0))) & sorted1(X25,0,X8) & $sum(X8,$uminus(X10)) = X8))))),
% 4.02/1.19 inference(theory_normalization,[],[f77])).
% 4.02/1.19
% 4.02/1.19 tff(f162,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (eq_prefix1(X0,X1,X2,X3) <=> ! [X4 : $int] : (($less(X4,X3) & ~$less(X4,0)) => get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4))))),
% 4.02/1.19 inference(rectify,[],[f87])).
% 4.02/1.19
% 4.02/1.19 tff(f174,plain,(
% 4.02/1.19 ~! [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : ((0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0)) => ((partial_solution1(X3,X4) & ! [X5 : $int] : (~$less(X5,0) => (~mem(int,t2tb1(X5),empty(int)) <=> ! [X6 : $int] : (($less(X6,X3) & ~$less(X6,0)) => tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6))))) & ! [X7 : $int] : (~$less(X7,0) => (~mem(int,t2tb1(X7),empty(int)) <=> ! [X8 : $int] : (($less(X8,X3) & ~$less(X8,0)) => tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3))))) & ! [X9 : $int] : (mem(int,t2tb1(X9),t2tb(below1(X0))) <=> (! [X10 : $int] : (($less(X10,X3) & ~$less(X10,0)) => tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9) & $less(X9,n1) & ~$less(X9,0))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0)) => ! [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : ((eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & ! [X15 : map_int_int] : ((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) <=> ? [X16 : $int] : (eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11) & ~$less(X16,X1))) & sorted1(X12,X1,X11) & X3 = X13 & ~$less($sum(X11,$uminus(X1)),0)) => (! [X17 : map_int_int] : (partial_solution1(n1,X17) <=> ? [X18 : $int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & $less(X18,$sum(X11,$uminus(X1))) & ~$less(X18,0))) & sorted1(X12,0,X11) & $sum(X11,$uminus(X1)) = X11))))),
% 4.02/1.19 inference(rectify,[],[f92])).
% 4.02/1.19
% 4.02/1.19 tff(f211,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (eq_prefix1(X0,X1,X2,X3) <=> ! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | (~$less(X4,X3) | $less(X4,0))))),
% 4.02/1.19 inference(ennf_transformation,[],[f162])).
% 4.02/1.19
% 4.02/1.19 tff(f212,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (eq_prefix1(X0,X1,X2,X3) <=> ! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)))),
% 4.02/1.19 inference(flattening,[],[f211])).
% 4.02/1.19
% 4.02/1.19 tff(f221,plain,(
% 4.02/1.19 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : ((? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : ((? [X17 : map_int_int] : (partial_solution1(n1,X17) <~> ? [X18 : $int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & $less(X18,$sum(X11,$uminus(X1))) & ~$less(X18,0))) | ~sorted1(X12,0,X11) | $sum(X11,$uminus(X1)) != X11) & (eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & ! [X15 : map_int_int] : ((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) <=> ? [X16 : $int] : (eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11) & ~$less(X16,X1))) & sorted1(X12,X1,X11) & X3 = X13 & ~$less($sum(X11,$uminus(X1)),0))) & (partial_solution1(X3,X4) & ! [X5 : $int] : ((~mem(int,t2tb1(X5),empty(int)) <=> ! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | (~$less(X6,X3) | $less(X6,0)))) | $less(X5,0)) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),empty(int)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | (~$less(X8,X3) | $less(X8,0)))) | $less(X7,0)) & ! [X9 : $int] : (mem(int,t2tb1(X9),t2tb(below1(X0))) <=> (! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | (~$less(X10,X3) | $less(X10,0))) & $less(X9,n1) & ~$less(X9,0))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0))) & (0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0)))),
% 4.02/1.19 inference(ennf_transformation,[],[f174])).
% 4.02/1.19
% 4.02/1.19 tff(f222,plain,(
% 4.02/1.19 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : ((? [X17 : map_int_int] : (partial_solution1(n1,X17) <~> ? [X18 : $int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & $less(X18,$sum(X11,$uminus(X1))) & ~$less(X18,0))) | ~sorted1(X12,0,X11) | $sum(X11,$uminus(X1)) != X11) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & ! [X15 : map_int_int] : ((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) <=> ? [X16 : $int] : (eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11) & ~$less(X16,X1))) & sorted1(X12,X1,X11) & X3 = X13 & ~$less($sum(X11,$uminus(X1)),0)) & partial_solution1(X3,X4) & ! [X5 : $int] : ((~mem(int,t2tb1(X5),empty(int)) <=> ! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | ~$less(X6,X3) | $less(X6,0))) | $less(X5,0)) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),empty(int)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | ~$less(X8,X3) | $less(X8,0))) | $less(X7,0)) & ! [X9 : $int] : (mem(int,t2tb1(X9),t2tb(below1(X0))) <=> (! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | ~$less(X10,X3) | $less(X10,0)) & $less(X9,n1) & ~$less(X9,0))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & 0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0))),
% 4.02/1.19 inference(flattening,[],[f221])).
% 4.02/1.19
% 4.02/1.19 tff(f250,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0))) & (! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)))),
% 4.02/1.19 inference(nnf_transformation,[],[f212])).
% 4.02/1.19
% 4.02/1.19 tff(f251,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0))) & (! [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) = get(X0,int,X2,t2tb1(X5)) | ~$less(X5,X3) | $less(X5,0)) | ~eq_prefix1(X0,X1,X2,X3)))),
% 4.02/1.19 inference(rectify,[],[f250])).
% 4.02/1.19
% 4.02/1.19 tff(f252,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0)) => (get(X0,int,X1,t2tb1(sK4(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK4(X0,X1,X2,X3))) & $less(sK4(X0,X1,X2,X3),X3) & ~$less(sK4(X0,X1,X2,X3),0)))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f253,plain,(
% 4.02/1.19 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((eq_prefix1(X0,X1,X2,X3) | (get(X0,int,X1,t2tb1(sK4(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK4(X0,X1,X2,X3))) & $less(sK4(X0,X1,X2,X3),X3) & ~$less(sK4(X0,X1,X2,X3),0))) & (! [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) = get(X0,int,X2,t2tb1(X5)) | ~$less(X5,X3) | $less(X5,0)) | ~eq_prefix1(X0,X1,X2,X3)))),
% 4.02/1.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f251,f252])).
% 4.02/1.19
% 4.02/1.19 tff(f268,plain,(
% 4.02/1.19 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : ((? [X17 : map_int_int] : ((! [X18 : $int] : (~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) | ~$less(X18,$sum(X11,$uminus(X1))) | $less(X18,0)) | ~partial_solution1(n1,X17)) & (? [X18 : $int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & $less(X18,$sum(X11,$uminus(X1))) & ~$less(X18,0)) | partial_solution1(n1,X17))) | ~sorted1(X12,0,X11) | $sum(X11,$uminus(X1)) != X11) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & ! [X15 : map_int_int] : (((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) | ! [X16 : $int] : (~eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) | ~$less(X16,X11) | $less(X16,X1))) & (? [X16 : $int] : (eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11) & ~$less(X16,X1)) | (~eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) | ~partial_solution1(n1,X15)))) & sorted1(X12,X1,X11) & X3 = X13 & ~$less($sum(X11,$uminus(X1)),0)) & partial_solution1(X3,X4) & ! [X5 : $int] : (((~mem(int,t2tb1(X5),empty(int)) | ? [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) = $sum($sum(X5,X3),$uminus(X6)) & $less(X6,X3) & ~$less(X6,0))) & (! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | ~$less(X6,X3) | $less(X6,0)) | mem(int,t2tb1(X5),empty(int)))) | $less(X5,0)) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),empty(int)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X3)) & $less(X8,X3) & ~$less(X8,0))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | ~$less(X8,X3) | $less(X8,0)) | mem(int,t2tb1(X7),empty(int)))) | $less(X7,0)) & ! [X9 : $int] : ((mem(int,t2tb1(X9),t2tb(below1(X0))) | (? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) = X9 & $less(X10,X3) & ~$less(X10,0)) | ~$less(X9,n1) | $less(X9,0))) & ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | ~$less(X10,X3) | $less(X10,0)) & $less(X9,n1) & ~$less(X9,0)) | ~mem(int,t2tb1(X9),t2tb(below1(X0))))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & 0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0))),
% 4.02/1.19 inference(nnf_transformation,[],[f222])).
% 4.02/1.19
% 4.02/1.19 tff(f269,plain,(
% 4.02/1.19 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : ((? [X17 : map_int_int] : ((! [X18 : $int] : (~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) | ~$less(X18,$sum(X11,$uminus(X1))) | $less(X18,0)) | ~partial_solution1(n1,X17)) & (? [X18 : $int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & $less(X18,$sum(X11,$uminus(X1))) & ~$less(X18,0)) | partial_solution1(n1,X17))) | ~sorted1(X12,0,X11) | $sum(X11,$uminus(X1)) != X11) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & ! [X15 : map_int_int] : (((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) | ! [X16 : $int] : (~eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) | ~$less(X16,X11) | $less(X16,X1))) & (? [X16 : $int] : (eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11) & ~$less(X16,X1)) | ~eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) | ~partial_solution1(n1,X15))) & sorted1(X12,X1,X11) & X3 = X13 & ~$less($sum(X11,$uminus(X1)),0)) & partial_solution1(X3,X4) & ! [X5 : $int] : (((~mem(int,t2tb1(X5),empty(int)) | ? [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) = $sum($sum(X5,X3),$uminus(X6)) & $less(X6,X3) & ~$less(X6,0))) & (! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | ~$less(X6,X3) | $less(X6,0)) | mem(int,t2tb1(X5),empty(int)))) | $less(X5,0)) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),empty(int)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X3)) & $less(X8,X3) & ~$less(X8,0))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | ~$less(X8,X3) | $less(X8,0)) | mem(int,t2tb1(X7),empty(int)))) | $less(X7,0)) & ! [X9 : $int] : ((mem(int,t2tb1(X9),t2tb(below1(X0))) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) = X9 & $less(X10,X3) & ~$less(X10,0)) | ~$less(X9,n1) | $less(X9,0)) & ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | ~$less(X10,X3) | $less(X10,0)) & $less(X9,n1) & ~$less(X9,0)) | ~mem(int,t2tb1(X9),t2tb(below1(X0))))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & 0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0))),
% 4.02/1.19 inference(flattening,[],[f268])).
% 4.02/1.19
% 4.02/1.19 tff(f270,plain,(
% 4.02/1.19 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X5 : $int,X6 : map_int_lpmap_int_intrp,X7 : $int,X8 : map_int_int] : ((? [X9 : map_int_int] : ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | ~$less(X10,$sum(X5,$uminus(X1))) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & $less(X11,$sum(X5,$uminus(X1))) & ~$less(X11,0)) | partial_solution1(n1,X9))) | ~sorted1(X6,0,X5) | $sum(X5,$uminus(X1)) != X5) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X6),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X8),X7) & ! [X12 : map_int_int] : (((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X13 : $int] : (~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) | ~$less(X13,X5) | $less(X13,X1))) & (? [X14 : $int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) & $less(X14,X5) & ~$less(X14,X1)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12))) & sorted1(X6,X1,X5) & X3 = X7 & ~$less($sum(X5,$uminus(X1)),0)) & partial_solution1(X3,X4) & ! [X15 : $int] : (((~mem(int,t2tb1(X15),empty(int)) | ? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X16))) = $sum($sum(X15,X3),$uminus(X16)) & $less(X16,X3) & ~$less(X16,0))) & (! [X17 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X17))) != $sum($sum(X15,X3),$uminus(X17)) | ~$less(X17,X3) | $less(X17,0)) | mem(int,t2tb1(X15),empty(int)))) | $less(X15,0)) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | ? [X19 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(X3)) & $less(X19,X3) & ~$less(X19,0))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(X3)) | ~$less(X20,X3) | $less(X20,0)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(X0))) | ? [X22 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X22))) = X21 & $less(X22,X3) & ~$less(X22,0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X23))) != X21 | ~$less(X23,X3) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(X0))))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & 0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0))),
% 4.02/1.19 inference(rectify,[],[f269])).
% 4.02/1.19
% 4.02/1.19 tff(f271,plain,(
% 4.02/1.19 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X5 : $int,X6 : map_int_lpmap_int_intrp,X7 : $int,X8 : map_int_int] : ((? [X9 : map_int_int] : ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | ~$less(X10,$sum(X5,$uminus(X1))) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & $less(X11,$sum(X5,$uminus(X1))) & ~$less(X11,0)) | partial_solution1(n1,X9))) | ~sorted1(X6,0,X5) | $sum(X5,$uminus(X1)) != X5) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X6),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X8),X7) & ! [X12 : map_int_int] : (((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X13 : $int] : (~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) | ~$less(X13,X5) | $less(X13,X1))) & (? [X14 : $int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) & $less(X14,X5) & ~$less(X14,X1)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12))) & sorted1(X6,X1,X5) & X3 = X7 & ~$less($sum(X5,$uminus(X1)),0)) & partial_solution1(X3,X4) & ! [X15 : $int] : (((~mem(int,t2tb1(X15),empty(int)) | ? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X16))) = $sum($sum(X15,X3),$uminus(X16)) & $less(X16,X3) & ~$less(X16,0))) & (! [X17 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X17))) != $sum($sum(X15,X3),$uminus(X17)) | ~$less(X17,X3) | $less(X17,0)) | mem(int,t2tb1(X15),empty(int)))) | $less(X15,0)) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | ? [X19 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(X3)) & $less(X19,X3) & ~$less(X19,0))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(X3)) | ~$less(X20,X3) | $less(X20,0)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(X0))) | ? [X22 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X22))) = X21 & $less(X22,X3) & ~$less(X22,0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X23))) != X21 | ~$less(X23,X3) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(X0))))) & ~$less(X1,0) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & 0 = X3 & 0 = X1 & n1 = X0 & ~$less(X0,0)) => (? [X8 : map_int_int,X7 : $int,X6 : map_int_lpmap_int_intrp,X5 : $int] : ((? [X9 : map_int_int] : ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | ~$less(X10,$sum(X5,$uminus(sK11))) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & $less(X11,$sum(X5,$uminus(sK11))) & ~$less(X11,0)) | partial_solution1(n1,X9))) | ~sorted1(X6,0,X5) | $sum(X5,$uminus(sK11)) != X5) & eq_prefix1(map(int,int),t2tb3(sK12),t2tb3(X6),sK11) & eq_prefix1(int,t2tb2(sK14),t2tb2(X8),X7) & ! [X12 : map_int_int] : (((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X13 : $int] : (~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) | ~$less(X13,X5) | $less(X13,sK11))) & (? [X14 : $int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) & $less(X14,X5) & ~$less(X14,sK11)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12))) & sorted1(X6,sK11,X5) & sK13 = X7 & ~$less($sum(X5,$uminus(sK11)),0)) & partial_solution1(sK13,sK14) & ! [X15 : $int] : (((~mem(int,t2tb1(X15),empty(int)) | ? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X16))) = $sum($sum(X15,sK13),$uminus(X16)) & $less(X16,sK13) & ~$less(X16,0))) & (! [X17 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X17))) != $sum($sum(X15,sK13),$uminus(X17)) | ~$less(X17,sK13) | $less(X17,0)) | mem(int,t2tb1(X15),empty(int)))) | $less(X15,0)) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | ? [X19 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(sK13)) & $less(X19,sK13) & ~$less(X19,0))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(sK13)) | ~$less(X20,sK13) | $less(X20,0)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(sK10))) | ? [X22 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X22))) = X21 & $less(X22,sK13) & ~$less(X22,0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X23))) != X21 | ~$less(X23,sK13) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(sK10))))) & ~$less(sK11,0) & n1 = $sum(sK13,cardinal1(int,t2tb(below1(sK10)))) & ~$less(sK13,0) & 0 = sK13 & 0 = sK11 & n1 = sK10 & ~$less(sK10,0))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f272,plain,(
% 4.02/1.19 ? [X8 : map_int_int,X7 : $int,X6 : map_int_lpmap_int_intrp,X5 : $int] : ((? [X9 : map_int_int] : ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | ~$less(X10,$sum(X5,$uminus(sK11))) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & $less(X11,$sum(X5,$uminus(sK11))) & ~$less(X11,0)) | partial_solution1(n1,X9))) | ~sorted1(X6,0,X5) | $sum(X5,$uminus(sK11)) != X5) & eq_prefix1(map(int,int),t2tb3(sK12),t2tb3(X6),sK11) & eq_prefix1(int,t2tb2(sK14),t2tb2(X8),X7) & ! [X12 : map_int_int] : (((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X13 : $int] : (~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) | ~$less(X13,X5) | $less(X13,sK11))) & (? [X14 : $int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) & $less(X14,X5) & ~$less(X14,sK11)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12))) & sorted1(X6,sK11,X5) & sK13 = X7 & ~$less($sum(X5,$uminus(sK11)),0)) => ((? [X9 : map_int_int] : ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK16),t2tb1(X10)),n1) | ~$less(X10,$sum(sK15,$uminus(sK11))) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK16),t2tb1(X11)),n1) & $less(X11,$sum(sK15,$uminus(sK11))) & ~$less(X11,0)) | partial_solution1(n1,X9))) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(sK11))) & eq_prefix1(map(int,int),t2tb3(sK12),t2tb3(sK16),sK11) & eq_prefix1(int,t2tb2(sK14),t2tb2(sK18),sK17) & ! [X12 : map_int_int] : (((eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) & partial_solution1(n1,X12)) | ! [X13 : $int] : (~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(X13)),n1) | ~$less(X13,sK15) | $less(X13,sK11))) & (? [X14 : $int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(X14)),n1) & $less(X14,sK15) & ~$less(X14,sK11)) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(n1,X12))) & sorted1(sK16,sK11,sK15) & sK13 = sK17 & ~$less($sum(sK15,$uminus(sK11)),0))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f273,plain,(
% 4.02/1.19 ? [X9 : map_int_int] : ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK16),t2tb1(X10)),n1) | ~$less(X10,$sum(sK15,$uminus(sK11))) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK16),t2tb1(X11)),n1) & $less(X11,$sum(sK15,$uminus(sK11))) & ~$less(X11,0)) | partial_solution1(n1,X9))) => ((! [X10 : $int] : (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X10)),n1) | ~$less(X10,$sum(sK15,$uminus(sK11))) | $less(X10,0)) | ~partial_solution1(n1,sK19)) & (? [X11 : $int] : (eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X11)),n1) & $less(X11,$sum(sK15,$uminus(sK11))) & ~$less(X11,0)) | partial_solution1(n1,sK19)))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f274,plain,(
% 4.02/1.19 ? [X11 : $int] : (eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X11)),n1) & $less(X11,$sum(sK15,$uminus(sK11))) & ~$less(X11,0)) => (eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),n1) & $less(sK20,$sum(sK15,$uminus(sK11))) & ~$less(sK20,0))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f275,plain,(
% 4.02/1.19 ! [X12 : map_int_int] : (? [X14 : $int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(X14)),n1) & $less(X14,sK15) & ~$less(X14,sK11)) => (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X12))),n1) & $less(sK21(X12),sK15) & ~$less(sK21(X12),sK11)))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f276,plain,(
% 4.02/1.19 ! [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X16))) = $sum($sum(X15,sK13),$uminus(X16)) & $less(X16,sK13) & ~$less(X16,0)) => (tb2t1(get(int,int,t2tb2(sK14),t2tb1(sK22(X15)))) = $sum($sum(X15,sK13),$uminus(sK22(X15))) & $less(sK22(X15),sK13) & ~$less(sK22(X15),0)))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f277,plain,(
% 4.02/1.19 ! [X18 : $int] : (? [X19 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(sK13)) & $less(X19,sK13) & ~$less(X19,0)) => (tb2t1(get(int,int,t2tb2(sK14),t2tb1(sK23(X18)))) = $sum($sum(X18,sK23(X18)),$uminus(sK13)) & $less(sK23(X18),sK13) & ~$less(sK23(X18),0)))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f278,plain,(
% 4.02/1.19 ! [X21 : $int] : (? [X22 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X22))) = X21 & $less(X22,sK13) & ~$less(X22,0)) => (tb2t1(get(int,int,t2tb2(sK14),t2tb1(sK24(X21)))) = X21 & $less(sK24(X21),sK13) & ~$less(sK24(X21),0)))),
% 4.02/1.19 introduced(choice_axiom,[])).
% 4.02/1.19
% 4.02/1.19 tff(f279,plain,(
% 4.02/1.19 ((((! [X10 : $int] : (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X10)),n1) | ~$less(X10,$sum(sK15,$uminus(sK11))) | $less(X10,0)) | ~partial_solution1(n1,sK19)) & ((eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),n1) & $less(sK20,$sum(sK15,$uminus(sK11))) & ~$less(sK20,0)) | partial_solution1(n1,sK19))) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(sK11))) & eq_prefix1(map(int,int),t2tb3(sK12),t2tb3(sK16),sK11) & eq_prefix1(int,t2tb2(sK14),t2tb2(sK18),sK17) & ! [X12 : map_int_int] : (((eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) & partial_solution1(n1,X12)) | ! [X13 : $int] : (~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(X13)),n1) | ~$less(X13,sK15) | $less(X13,sK11))) & ((eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X12))),n1) & $less(sK21(X12),sK15) & ~$less(sK21(X12),sK11)) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(n1,X12))) & sorted1(sK16,sK11,sK15) & sK13 = sK17 & ~$less($sum(sK15,$uminus(sK11)),0)) & partial_solution1(sK13,sK14) & ! [X15 : $int] : (((~mem(int,t2tb1(X15),empty(int)) | (tb2t1(get(int,int,t2tb2(sK14),t2tb1(sK22(X15)))) = $sum($sum(X15,sK13),$uminus(sK22(X15))) & $less(sK22(X15),sK13) & ~$less(sK22(X15),0))) & (! [X17 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X17))) != $sum($sum(X15,sK13),$uminus(X17)) | ~$less(X17,sK13) | $less(X17,0)) | mem(int,t2tb1(X15),empty(int)))) | $less(X15,0)) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | (tb2t1(get(int,int,t2tb2(sK14),t2tb1(sK23(X18)))) = $sum($sum(X18,sK23(X18)),$uminus(sK13)) & $less(sK23(X18),sK13) & ~$less(sK23(X18),0))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(sK13)) | ~$less(X20,sK13) | $less(X20,0)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(sK10))) | (tb2t1(get(int,int,t2tb2(sK14),t2tb1(sK24(X21)))) = X21 & $less(sK24(X21),sK13) & ~$less(sK24(X21),0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK14),t2tb1(X23))) != X21 | ~$less(X23,sK13) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(sK10))))) & ~$less(sK11,0) & n1 = $sum(sK13,cardinal1(int,t2tb(below1(sK10)))) & ~$less(sK13,0) & 0 = sK13 & 0 = sK11 & n1 = sK10 & ~$less(sK10,0)),
% 4.02/1.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24])],[f270,f278,f277,f276,f275,f274,f273,f272,f271])).
% 4.02/1.19
% 4.02/1.19 tff(f371,plain,(
% 4.02/1.19 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni] : (eq_prefix1(X0,X1,X2,X3) | ~$less(sK4(X0,X1,X2,X3),0)) )),
% 4.02/1.19 inference(cnf_transformation,[],[f253])).
% 4.02/1.19
% 4.02/1.19 tff(f372,plain,(
% 4.02/1.19 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni] : (eq_prefix1(X0,X1,X2,X3) | $less(sK4(X0,X1,X2,X3),X3)) )),
% 4.02/1.19 inference(cnf_transformation,[],[f253])).
% 4.02/1.19
% 4.02/1.19 tff(f405,plain,(
% 4.02/1.19 n1 = sK10),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f406,plain,(
% 4.02/1.19 0 = sK11),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f407,plain,(
% 4.02/1.19 0 = sK13),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f427,plain,(
% 4.02/1.19 sK13 = sK17),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f428,plain,(
% 4.02/1.19 sorted1(sK16,sK11,sK15)),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f429,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int] : (~$less(sK21(X12),sK11) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(n1,X12)) )),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f430,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int] : ($less(sK21(X12),sK15) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(n1,X12)) )),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f431,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X12))),n1) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(n1,X12)) )),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f432,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int,X13 : $int] : (partial_solution1(n1,X12) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(X13)),n1) | ~$less(X13,sK15) | $less(X13,sK11)) )),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f436,plain,(
% 4.02/1.19 ~$less(sK20,0) | partial_solution1(n1,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(sK11))),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f437,plain,(
% 4.02/1.19 $less(sK20,$sum(sK15,$uminus(sK11))) | partial_solution1(n1,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(sK11))),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f438,plain,(
% 4.02/1.19 eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),n1) | partial_solution1(n1,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(sK11))),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f439,plain,(
% 4.02/1.19 ( ! [X10 : $int] : (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X10)),n1) | ~$less(X10,$sum(sK15,$uminus(sK11))) | $less(X10,0) | ~partial_solution1(n1,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(sK11))) )),
% 4.02/1.19 inference(cnf_transformation,[],[f279])).
% 4.02/1.19
% 4.02/1.19 tff(f447,plain,(
% 4.02/1.19 ( ! [X10 : $int] : (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X10)),sK10) | ~$less(X10,$sum(sK15,$uminus(0))) | $less(X10,0) | ~partial_solution1(sK10,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(0))) )),
% 4.02/1.19 inference(definition_unfolding,[],[f439,f405,f406,f405,f406])).
% 4.02/1.19
% 4.02/1.19 tff(f448,plain,(
% 4.02/1.19 eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),sK10) | partial_solution1(sK10,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(0))),
% 4.02/1.19 inference(definition_unfolding,[],[f438,f405,f405,f406])).
% 4.02/1.19
% 4.02/1.19 tff(f449,plain,(
% 4.02/1.19 $less(sK20,$sum(sK15,$uminus(0))) | partial_solution1(sK10,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(0))),
% 4.02/1.19 inference(definition_unfolding,[],[f437,f406,f405,f406])).
% 4.02/1.19
% 4.02/1.19 tff(f450,plain,(
% 4.02/1.19 ~$less(sK20,0) | partial_solution1(sK10,sK19) | ~sorted1(sK16,0,sK15) | sK15 != $sum(sK15,$uminus(0))),
% 4.02/1.19 inference(definition_unfolding,[],[f436,f405,f406])).
% 4.02/1.19
% 4.02/1.19 tff(f453,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int,X13 : $int] : (partial_solution1(sK10,X12) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(X13)),sK10) | ~$less(X13,sK15) | $less(X13,0)) )),
% 4.02/1.19 inference(definition_unfolding,[],[f432,f405,f405,f406])).
% 4.02/1.19
% 4.02/1.19 tff(f454,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X12))),sK10) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(sK10,X12)) )),
% 4.02/1.19 inference(definition_unfolding,[],[f431,f405,f405])).
% 4.02/1.19
% 4.02/1.19 tff(f455,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int] : ($less(sK21(X12),sK15) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(sK10,X12)) )),
% 4.02/1.19 inference(definition_unfolding,[],[f430,f405])).
% 4.02/1.19
% 4.02/1.19 tff(f456,plain,(
% 4.02/1.19 ( ! [X12 : map_int_int] : (~$less(sK21(X12),0) | ~eq_prefix1(int,t2tb2(sK18),t2tb2(X12),sK17) | ~partial_solution1(sK10,X12)) )),
% 4.02/1.19 inference(definition_unfolding,[],[f429,f406,f405])).
% 4.02/1.19
% 4.02/1.19 tff(f457,plain,(
% 4.02/1.19 sorted1(sK16,0,sK15)),
% 4.02/1.19 inference(definition_unfolding,[],[f428,f406])).
% 4.02/1.19
% 4.02/1.19 tff(f474,plain,(
% 4.02/1.19 0 = sK17),
% 4.02/1.19 inference(definition_unfolding,[],[f407,f427])).
% 4.02/1.19
% 4.02/1.19 cnf(c_158,plain,
% 4.02/1.19 ($less_int(sK4(X0_14,X0_13,X1_13,X0_3),X0_3)|eq_prefix1(X0_14,X0_13,X1_13,X0_3)),
% 4.02/1.19 inference(cnf_transformation,[],[f372])).
% 4.02/1.19
% 4.02/1.19 cnf(c_159,plain,
% 4.02/1.19 (~$less_int(sK4(X0_14,X0_13,X1_13,X0_3),0)|eq_prefix1(X0_14,X0_13,X1_13,X0_3)),
% 4.02/1.19 inference(cnf_transformation,[],[f371])).
% 4.02/1.19
% 4.02/1.19 cnf(c_191,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X0_3)),sK10)|
% 4.02/1.19 ~$less_int(X0_3,$sum_int(sK15,$uminus_int(0)))|~sorted1(sK16,0,sK15)|
% 4.02/1.19 ~partial_solution1(sK10,sK19)|$less_int(X0_3,0)),
% 4.02/1.19 inference(cnf_transformation,[],[f447])).
% 4.02/1.19
% 4.02/1.19 cnf(c_192,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|~sorted1(sK16,0,sK15)|eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),sK10)|
% 4.02/1.19 partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(cnf_transformation,[],[f448])).
% 4.02/1.19
% 4.02/1.19 cnf(c_193,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|~sorted1(sK16,0,sK15)|$less_int(sK20,$sum_int(sK15,$uminus_int(0)))|
% 4.02/1.19 partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(cnf_transformation,[],[f449])).
% 4.02/1.19
% 4.02/1.19 cnf(c_194,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|~sorted1(sK16,0,sK15)|~$less_int(sK20,0)|
% 4.02/1.19 partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(cnf_transformation,[],[f450])).
% 4.02/1.19
% 4.02/1.19 cnf(c_198,negated_conjecture,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK16),t2tb1(X0_3)),sK10)|
% 4.02/1.19 ~$less_int(X0_3,sK15)|$less_int(X0_3,0)|partial_solution1(sK10,X0_18)),
% 4.02/1.19 inference(cnf_transformation,[],[f453])).
% 4.02/1.19
% 4.02/1.19 cnf(c_199,negated_conjecture,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),sK17)|~partial_solution1(sK10,X0_18)|
% 4.02/1.19 eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X0_18))),sK10)),
% 4.02/1.19 inference(cnf_transformation,[],[f454])).
% 4.02/1.19
% 4.02/1.19 cnf(c_200,negated_conjecture,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),sK17)|~partial_solution1(sK10,X0_18)|
% 4.02/1.19 $less_int(sK21(X0_18),sK15)),
% 4.02/1.19 inference(cnf_transformation,[],[f455])).
% 4.02/1.19
% 4.02/1.19 cnf(c_201,negated_conjecture,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),sK17)|~$less_int(sK21(X0_18),0)|
% 4.02/1.19 ~partial_solution1(sK10,X0_18)),
% 4.02/1.19 inference(cnf_transformation,[],[f456])).
% 4.02/1.19
% 4.02/1.19 cnf(c_202,negated_conjecture,
% 4.02/1.19 (sorted1(sK16,0,sK15)),
% 4.02/1.19 inference(cnf_transformation,[],[f457])).
% 4.02/1.19
% 4.02/1.19 cnf(c_222,negated_conjecture,
% 4.02/1.19 (sK17 = 0),
% 4.02/1.19 inference(cnf_transformation,[],[f474])).
% 4.02/1.19
% 4.02/1.19 cnf(c_355,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|~$less_int(sK20,0)|partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(global_subsumption_just,[status(thm)],[c_194,c_202,c_194])).
% 4.02/1.19
% 4.02/1.19 cnf(c_357,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|$less_int(sK20,$sum_int(sK15,$uminus_int(0)))|
% 4.02/1.19 partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(global_subsumption_just,[status(thm)],[c_193,c_202,c_193])).
% 4.02/1.19
% 4.02/1.19 cnf(c_359,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),sK10)|
% 4.02/1.19 partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(global_subsumption_just,[status(thm)],[c_192,c_202,c_192])).
% 4.02/1.19
% 4.02/1.19 cnf(c_361,plain,
% 4.02/1.19 (~$less_int(X0_3,$sum_int(sK15,$uminus_int(0)))|~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X0_3)),sK10)|
% 4.02/1.19 $sum_int(sK15,$uminus_int(0)) != sK15|~partial_solution1(sK10,sK19)|
% 4.02/1.19 $less_int(X0_3,0)),
% 4.02/1.19 inference(global_subsumption_just,[status(thm)],[c_191,c_202,c_191])).
% 4.02/1.19
% 4.02/1.19 cnf(c_362,negated_conjecture,
% 4.02/1.19 ($sum_int(sK15,$uminus_int(0)) != sK15|~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X0_3)),sK10)|
% 4.02/1.19 ~$less_int(X0_3,$sum_int(sK15,$uminus_int(0)))|~partial_solution1(sK10,sK19)|
% 4.02/1.19 $less_int(X0_3,0)),
% 4.02/1.19 inference(renaming,[status(thm)],[c_361])).
% 4.02/1.19
% 4.02/1.19 cnf(c_1819,plain,
% 4.02/1.19 (~$less_int(sK20,0)|partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(smt_theory_normalisation,[status(thm)],[c_355])).
% 4.02/1.19
% 4.02/1.19 cnf(c_1828,plain,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),0)|~partial_solution1(sK10,X0_18)|
% 4.02/1.19 $less_int(sK21(X0_18),sK15)),
% 4.02/1.19 inference(light_normalisation,[status(thm)],[c_200,c_222])).
% 4.02/1.19
% 4.02/1.19 cnf(c_1851,plain,
% 4.02/1.19 ($less_int(sK20,sK15)|partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(smt_theory_normalisation,[status(thm)],[c_357])).
% 4.02/1.19
% 4.02/1.19 cnf(c_1856,plain,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),0)|~$less_int(sK21(X0_18),0)|
% 4.02/1.19 ~partial_solution1(sK10,X0_18)),
% 4.02/1.19 inference(light_normalisation,[status(thm)],[c_201,c_222])).
% 4.02/1.19
% 4.02/1.19 cnf(c_1992,plain,
% 4.02/1.19 (eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),sK10)|
% 4.02/1.19 partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(smt_theory_normalisation,[status(thm)],[c_359])).
% 4.02/1.19
% 4.02/1.19 cnf(c_2011,plain,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),0)|~partial_solution1(sK10,X0_18)|
% 4.02/1.19 eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X0_18))),sK10)),
% 4.02/1.19 inference(light_normalisation,[status(thm)],[c_199,c_222])).
% 4.02/1.19
% 4.02/1.19 cnf(c_2087,plain,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X0_3)),sK10)|
% 4.02/1.19 ~$less_int(X0_3,sK15)|~partial_solution1(sK10,sK19)|$less_int(X0_3,0)),
% 4.02/1.19 inference(smt_theory_normalisation,[status(thm)],[c_362])).
% 4.02/1.19
% 4.02/1.19 cnf(c_2092,plain,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(X0_3)),sK10)|
% 4.02/1.19 ~$less_int(X0_3,sK15)|$less_int(X0_3,0)),
% 4.02/1.19 inference(forward_subsumption_resolution,[status(thm)],[c_2087,c_198])).
% 4.02/1.19
% 4.02/1.19 cnf(c_4472,plain,
% 4.02/1.19 (partial_solution1(sK10,sK19)|$less_int(sK20,sK15)),
% 4.02/1.19 inference(prop_impl_just,[status(thm)],[c_1851])).
% 4.02/1.19
% 4.02/1.19 cnf(c_4473,plain,
% 4.02/1.19 ($less_int(sK20,sK15)|partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(renaming,[status(thm)],[c_4472])).
% 4.02/1.19
% 4.02/1.19 cnf(c_11136,plain,
% 4.02/1.19 (~eq_prefix1(int,t2tb2(sK19),get(map(int,int),int,t2tb3(sK16),t2tb1(sK20)),sK10)|
% 4.02/1.19 ~$less_int(sK20,sK15)|$less_int(sK20,0)),
% 4.02/1.19 inference(instantiation,[status(thm)],[c_2092])).
% 4.02/1.19
% 4.02/1.19 cnf(c_11302,plain,
% 4.02/1.19 (~$less_int(sK4(int,t2tb2(sK18),t2tb2(X0_18),0),0)|eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),0)),
% 4.02/1.19 inference(instantiation,[status(thm)],[c_159])).
% 4.02/1.19
% 4.02/1.19 cnf(c_11303,plain,
% 4.02/1.19 ($less_int(sK4(int,t2tb2(sK18),t2tb2(X0_18),0),0)|eq_prefix1(int,t2tb2(sK18),t2tb2(X0_18),0)),
% 4.02/1.19 inference(instantiation,[status(thm)],[c_158])).
% 4.02/1.19
% 4.02/1.19 cnf(c_11983,plain,
% 4.02/1.19 (~partial_solution1(sK10,X0_18)|$less_int(sK21(X0_18),sK15)),
% 4.02/1.19 inference(global_subsumption_just,
% 4.02/1.19 [status(thm)],
% 4.02/1.19 [c_1828,c_1828,c_11303,c_11302])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12021,plain,
% 4.02/1.19 (~$less_int(sK21(X0_18),0)|~partial_solution1(sK10,X0_18)),
% 4.02/1.19 inference(global_subsumption_just,
% 4.02/1.19 [status(thm)],
% 4.02/1.19 [c_1856,c_1856,c_11303,c_11302])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12062,plain,
% 4.02/1.19 (~partial_solution1(sK10,X0_18)|eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK16),t2tb1(sK21(X0_18))),sK10)),
% 4.02/1.19 inference(global_subsumption_just,
% 4.02/1.19 [status(thm)],
% 4.02/1.19 [c_2011,c_2011,c_11303,c_11302])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12370,plain,
% 4.02/1.19 (partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(global_subsumption_just,
% 4.02/1.19 [status(thm)],
% 4.02/1.19 [c_4473,c_1819,c_1851,c_1992,c_11136])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12464,plain,
% 4.02/1.19 (~$less_int(sK21(sK19),sK15)|~partial_solution1(sK10,sK19)|$less_int(sK21(sK19),0)),
% 4.02/1.19 inference(resolution,[status(thm)],[c_2092,c_12062])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12479,plain,
% 4.02/1.19 (~$less_int(sK21(sK19),sK15)|$less_int(sK21(sK19),0)),
% 4.02/1.19 inference(global_subsumption_just,
% 4.02/1.19 [status(thm)],
% 4.02/1.19 [c_12464,c_12370,c_12464])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12499,plain,
% 4.02/1.19 (~$less_int(sK21(sK19),sK15)|~partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(resolution,[status(thm)],[c_12021,c_12479])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12524,plain,
% 4.02/1.19 (~$less_int(sK21(sK19),sK15)),
% 4.02/1.19 inference(global_subsumption_just,
% 4.02/1.19 [status(thm)],
% 4.02/1.19 [c_12499,c_12370,c_12499])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12530,plain,
% 4.02/1.19 (~partial_solution1(sK10,sK19)),
% 4.02/1.19 inference(resolution,[status(thm)],[c_12524,c_11983])).
% 4.02/1.19
% 4.02/1.19 cnf(c_12531,plain,
% 4.02/1.19 ($false),
% 4.02/1.19 inference(prop_impl_just,[status(thm)],[c_12530,c_12370])).
% 4.02/1.19
% 4.02/1.19
% 4.02/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 4.02/1.19
% 4.02/1.20
%------------------------------------------------------------------------------