TSTP Solution File: SWW576_2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW576_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:17:42 EDT 2024
% Result : Theorem 3.87s 1.07s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW576_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jun 19 07:55:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.44 Running TFA theorem proving
% 0.22/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.87/1.07 % SZS status Started for theBenchmark.p
% 3.87/1.07 % SZS status Theorem for theBenchmark.p
% 3.87/1.07
% 3.87/1.07 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.87/1.07
% 3.87/1.07 ------ iProver source info
% 3.87/1.07
% 3.87/1.07 git: date: 2024-06-12 09:56:46 +0000
% 3.87/1.07 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.87/1.07 git: non_committed_changes: false
% 3.87/1.07
% 3.87/1.07 ------ Parsing...
% 3.87/1.07 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.87/1.07
% 3.87/1.07 ------ Preprocessing... sup_sim: 4 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 1 sf_s rm: 5 0s sf_e pe_s pe_e
% 3.87/1.07
% 3.87/1.07 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.87/1.07
% 3.87/1.07 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.87/1.07 ------ Proving...
% 3.87/1.07 ------ Problem Properties
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07 clauses 57
% 3.87/1.07 conjectures 1
% 3.87/1.07 EPR 12
% 3.87/1.07 Horn 48
% 3.87/1.07 unary 36
% 3.87/1.07 binary 11
% 3.87/1.07 lits 91
% 3.87/1.07 lits eq 39
% 3.87/1.07 fd_pure 1
% 3.87/1.07 fd_pseudo 0
% 3.87/1.07 fd_cond 0
% 3.87/1.07 fd_pseudo_cond 4
% 3.87/1.07 AC symbols 2
% 3.87/1.07
% 3.87/1.07 ------ Input Options Time Limit: Unbounded
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07 ------
% 3.87/1.07 Current options:
% 3.87/1.07 ------
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07 ------ Proving...
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07 % SZS status Theorem for theBenchmark.p
% 3.87/1.07
% 3.87/1.07 % SZS output start CNFRefutation for theBenchmark.p
% 3.87/1.07
% 3.87/1.07 tff(f15,axiom,(
% 3.87/1.07 ! [X9 : $int] : tb2t1(t2tb1(X9)) = X9),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)).
% 3.87/1.07
% 3.87/1.07 tff(f16,axiom,(
% 3.87/1.07 ! [X10 : uni] : t2tb1(tb2t1(X10)) = X10),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)).
% 3.87/1.07
% 3.87/1.07 tff(f17,axiom,(
% 3.87/1.07 ! [X11 : map_int_int,X12 : $int,X13 : $int,X8 : $int] : (X12 = X13 => tb2t1(get(int,int,t2tb(set2(X11,X12,X8)),t2tb1(X13))) = X8)),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)).
% 3.87/1.07
% 3.87/1.07 tff(f19,axiom,(
% 3.87/1.07 ! [X11 : map_int_int,X12 : $int,X13 : $int,X8 : $int] : (X12 != X13 => tb2t1(get(int,int,t2tb(set2(X11,X12,X8)),t2tb1(X13))) = tb2t1(get(int,int,t2tb(X11),t2tb1(X13))))),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_neq)).
% 3.87/1.07
% 3.87/1.07 tff(f27,axiom,(
% 3.87/1.07 ! [X15 : $int] : (separation1(X15) <=> $less($sum(a1,10),$difference(X15,24)))),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',separation_def)).
% 3.87/1.07
% 3.87/1.07 tff(f28,axiom,(
% 3.87/1.07 ! [X16 : map_int_int] : (inv1(X16) <=> (! [X17 : $int] : (($lesseq(X17,10) & $lesseq(1,X17)) => $less(0,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(a1,X17)))))) & 0 = tb2t1(get(int,int,t2tb(X16),t2tb1(a1)))))),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv_def)).
% 3.87/1.07
% 3.87/1.07 tff(f29,axiom,(
% 3.87/1.07 ! [X16 : map_int_int,X15 : $int,X18 : $int] : (inv_l21(X16,X15,X18) <=> (inv1(X16) & $difference(tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))),2) = X18 & $lesseq(tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))),11) & $lesseq(2,tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))))))),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv_l2_def)).
% 3.87/1.07
% 3.87/1.07 tff(f30,conjecture,(
% 3.87/1.07 ! [X15 : $int,X16 : map_int_int] : ((inv1(X16) & separation1(X15)) => ! [X18 : $int] : (0 = X18 => ! [X19 : $int] : (0 = X19 => ! [X20 : $int] : (2 = X20 => ! [X21 : map_int_int] : (set2(X16,$difference(X15,16),X20) = X21 => inv_l21(X21,X15,X18))))))),
% 3.87/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_path_init_l2)).
% 3.87/1.07
% 3.87/1.07 tff(f31,negated_conjecture,(
% 3.87/1.07 ~! [X15 : $int,X16 : map_int_int] : ((inv1(X16) & separation1(X15)) => ! [X18 : $int] : (0 = X18 => ! [X19 : $int] : (0 = X19 => ! [X20 : $int] : (2 = X20 => ! [X21 : map_int_int] : (set2(X16,$difference(X15,16),X20) = X21 => inv_l21(X21,X15,X18))))))),
% 3.87/1.07 inference(negated_conjecture,[],[f30])).
% 3.87/1.07
% 3.87/1.07 tff(f33,plain,(
% 3.87/1.07 ! [X15 : $int] : (separation1(X15) <=> $less($sum(a1,10),$sum(X15,$uminus(24))))),
% 3.87/1.07 inference(theory_normalization,[],[f27])).
% 3.87/1.07
% 3.87/1.07 tff(f34,plain,(
% 3.87/1.07 ! [X16 : map_int_int] : (inv1(X16) <=> (! [X17 : $int] : ((~$less(10,X17) & ~$less(X17,1)) => $less(0,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(a1,X17)))))) & 0 = tb2t1(get(int,int,t2tb(X16),t2tb1(a1)))))),
% 3.87/1.07 inference(theory_normalization,[],[f28])).
% 3.87/1.07
% 3.87/1.07 tff(f35,plain,(
% 3.87/1.07 ! [X16 : map_int_int,X15 : $int,X18 : $int] : (inv_l21(X16,X15,X18) <=> (inv1(X16) & $sum(tb2t1(get(int,int,t2tb(X16),t2tb1($difference(X15,16)))),$uminus(2)) = X18 & ~$less(11,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))),2)))),
% 3.87/1.07 inference(theory_normalization,[],[f29])).
% 3.87/1.07
% 3.87/1.07 tff(f36,plain,(
% 3.87/1.07 ~! [X15 : $int,X16 : map_int_int] : ((inv1(X16) & separation1(X15)) => ! [X18 : $int] : (0 = X18 => ! [X19 : $int] : (0 = X19 => ! [X20 : $int] : (2 = X20 => ! [X21 : map_int_int] : (set2(X16,$sum(X15,$uminus(16)),X20) = X21 => inv_l21(X21,X15,X18))))))),
% 3.87/1.07 inference(theory_normalization,[],[f31])).
% 3.87/1.07
% 3.87/1.07 tff(f37,plain,(
% 3.87/1.07 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.87/1.07 introduced(theory_axiom_138,[])).
% 3.87/1.07
% 3.87/1.07 tff(f38,plain,(
% 3.87/1.07 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.87/1.07 introduced(theory_axiom_139,[])).
% 3.87/1.07
% 3.87/1.07 tff(f39,plain,(
% 3.87/1.07 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 3.87/1.07 introduced(theory_axiom_140,[])).
% 3.87/1.07
% 3.87/1.07 tff(f40,plain,(
% 3.87/1.07 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 3.87/1.07 introduced(theory_axiom_142,[])).
% 3.87/1.07
% 3.87/1.07 tff(f41,plain,(
% 3.87/1.07 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 3.87/1.07 introduced(theory_axiom_143,[])).
% 3.87/1.07
% 3.87/1.07 tff(f42,plain,(
% 3.87/1.07 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.87/1.07 introduced(theory_axiom_145,[])).
% 3.87/1.07
% 3.87/1.07 tff(f43,plain,(
% 3.87/1.07 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.87/1.07 introduced(theory_axiom_146,[])).
% 3.87/1.07
% 3.87/1.07 tff(f46,plain,(
% 3.87/1.07 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.87/1.07 introduced(theory_axiom_150,[])).
% 3.87/1.07
% 3.87/1.07 tff(f48,plain,(
% 3.87/1.07 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.87/1.07 introduced(theory_axiom_138,[])).
% 3.87/1.07
% 3.87/1.07 tff(f49,plain,(
% 3.87/1.07 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.87/1.07 introduced(theory_axiom_139,[])).
% 3.87/1.07
% 3.87/1.07 tff(f55,plain,(
% 3.87/1.07 ! [X16 : map_int_int,X15 : $int,X18 : $int] : (inv_l21(X16,X15,X18) <=> (inv1(X16) & $sum(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))),$uminus(2)) = X18 & ~$less(11,tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X16),t2tb1($sum(X15,$uminus(16))))),2)))),
% 3.87/1.07 inference(theory_normalization,[],[f35])).
% 3.87/1.07
% 3.87/1.07 tff(f67,plain,(
% 3.87/1.07 ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0),
% 3.87/1.07 inference(rectify,[],[f15])).
% 3.87/1.07
% 3.87/1.07 tff(f68,plain,(
% 3.87/1.07 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0),
% 3.87/1.07 inference(rectify,[],[f16])).
% 3.87/1.07
% 3.87/1.07 tff(f69,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (X1 = X2 => tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = X3)),
% 3.87/1.07 inference(rectify,[],[f17])).
% 3.87/1.07
% 3.87/1.07 tff(f71,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (X1 != X2 => tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2))))),
% 3.87/1.07 inference(rectify,[],[f19])).
% 3.87/1.07
% 3.87/1.07 tff(f77,plain,(
% 3.87/1.07 ! [X0 : $int] : (separation1(X0) <=> $less($sum(a1,10),$sum(X0,$uminus(24))))),
% 3.87/1.07 inference(rectify,[],[f33])).
% 3.87/1.07
% 3.87/1.07 tff(f78,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : (inv1(X0) <=> (! [X1 : $int] : ((~$less(10,X1) & ~$less(X1,1)) => $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1)))))) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))),
% 3.87/1.07 inference(rectify,[],[f34])).
% 3.87/1.07
% 3.87/1.07 tff(f79,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (inv_l21(X0,X1,X2) <=> (inv1(X0) & $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) = X2 & ~$less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)))),
% 3.87/1.07 inference(rectify,[],[f55])).
% 3.87/1.07
% 3.87/1.07 tff(f80,plain,(
% 3.87/1.07 ~! [X0 : $int,X1 : map_int_int] : ((inv1(X1) & separation1(X0)) => ! [X2 : $int] : (0 = X2 => ! [X3 : $int] : (0 = X3 => ! [X4 : $int] : (2 = X4 => ! [X5 : map_int_int] : (set2(X1,$sum(X0,$uminus(16)),X4) = X5 => inv_l21(X5,X0,X2))))))),
% 3.87/1.07 inference(rectify,[],[f36])).
% 3.87/1.07
% 3.87/1.07 tff(f81,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int] : ((inv1(X0) & $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) = X2 & ~$less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) & ~$less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)) => inv_l21(X0,X1,X2))),
% 3.87/1.07 inference(unused_predicate_definition_removal,[],[f79])).
% 3.87/1.07
% 3.87/1.07 tff(f82,plain,(
% 3.87/1.07 ! [X0 : $int] : (separation1(X0) => $less($sum(a1,10),$sum(X0,$uminus(24))))),
% 3.87/1.07 inference(unused_predicate_definition_removal,[],[f77])).
% 3.87/1.07
% 3.87/1.07 tff(f87,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = X3 | X1 != X2)),
% 3.87/1.07 inference(ennf_transformation,[],[f69])).
% 3.87/1.07
% 3.87/1.07 tff(f90,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) | X1 = X2)),
% 3.87/1.07 inference(ennf_transformation,[],[f71])).
% 3.87/1.07
% 3.87/1.07 tff(f96,plain,(
% 3.87/1.07 ! [X0 : $int] : ($less($sum(a1,10),$sum(X0,$uminus(24))) | ~separation1(X0))),
% 3.87/1.07 inference(ennf_transformation,[],[f82])).
% 3.87/1.07
% 3.87/1.07 tff(f97,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : (inv1(X0) <=> (! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | ($less(10,X1) | $less(X1,1))) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))),
% 3.87/1.07 inference(ennf_transformation,[],[f78])).
% 3.87/1.07
% 3.87/1.07 tff(f98,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : (inv1(X0) <=> (! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1) | $less(X1,1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))),
% 3.87/1.07 inference(flattening,[],[f97])).
% 3.87/1.07
% 3.87/1.07 tff(f99,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (inv_l21(X0,X1,X2) | (~inv1(X0) | $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)))),
% 3.87/1.07 inference(ennf_transformation,[],[f81])).
% 3.87/1.07
% 3.87/1.07 tff(f100,plain,(
% 3.87/1.07 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (inv_l21(X0,X1,X2) | ~inv1(X0) | $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2))),
% 3.87/1.07 inference(flattening,[],[f99])).
% 3.87/1.07
% 3.87/1.07 tff(f101,plain,(
% 3.87/1.07 ? [X0 : $int,X1 : map_int_int] : (? [X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,X0,X2) & set2(X1,$sum(X0,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) & 0 = X2) & (inv1(X1) & separation1(X0)))),
% 3.87/1.07 inference(ennf_transformation,[],[f80])).
% 3.87/1.07
% 3.87/1.07 tff(f102,plain,(
% 3.87/1.07 ? [X0 : $int,X1 : map_int_int] : (? [X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,X0,X2) & set2(X1,$sum(X0,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) & 0 = X2) & inv1(X1) & separation1(X0))),
% 3.87/1.07 inference(flattening,[],[f101])).
% 3.87/1.07
% 3.87/1.07 tff(f103,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : ((inv1(X0) | (? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))))) & ((! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1) | $less(X1,1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)))),
% 3.87/1.07 inference(nnf_transformation,[],[f98])).
% 3.87/1.07
% 3.87/1.07 tff(f104,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : ((inv1(X0) | ? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) & ((! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1) | $less(X1,1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)))),
% 3.87/1.07 inference(flattening,[],[f103])).
% 3.87/1.07
% 3.87/1.07 tff(f105,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : ((inv1(X0) | ? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) & ((! [X2 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) | $less(10,X2) | $less(X2,1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)))),
% 3.87/1.07 inference(rectify,[],[f104])).
% 3.87/1.07
% 3.87/1.07 tff(f106,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : (? [X1 : $int] : (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1) & ~$less(X1,1)) => (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK0(X0)))))) & ~$less(10,sK0(X0)) & ~$less(sK0(X0),1)))),
% 3.87/1.07 introduced(choice_axiom,[])).
% 3.87/1.07
% 3.87/1.07 tff(f107,plain,(
% 3.87/1.07 ! [X0 : map_int_int] : ((inv1(X0) | (~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK0(X0)))))) & ~$less(10,sK0(X0)) & ~$less(sK0(X0),1)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) & ((! [X2 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) | $less(10,X2) | $less(X2,1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)))),
% 3.87/1.07 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f105,f106])).
% 3.87/1.07
% 3.87/1.07 tff(f108,plain,(
% 3.87/1.07 ? [X0 : $int,X1 : map_int_int] : (? [X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,X0,X2) & set2(X1,$sum(X0,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) & 0 = X2) & inv1(X1) & separation1(X0)) => (? [X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,X2) & set2(sK2,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) & 0 = X2) & inv1(sK2) & separation1(sK1))),
% 3.87/1.07 introduced(choice_axiom,[])).
% 3.87/1.07
% 3.87/1.07 tff(f109,plain,(
% 3.87/1.07 ? [X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,X2) & set2(sK2,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) & 0 = X2) => (? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) & 0 = sK3)),
% 3.87/1.07 introduced(choice_axiom,[])).
% 3.87/1.07
% 3.87/1.07 tff(f110,plain,(
% 3.87/1.07 ? [X3 : $int] : (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = X3) => (? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) & 0 = sK4)),
% 3.87/1.07 introduced(choice_axiom,[])).
% 3.87/1.07
% 3.87/1.07 tff(f111,plain,(
% 3.87/1.07 ? [X4 : $int] : (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),X4) = X5) & 2 = X4) => (? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),sK5) = X5) & 2 = sK5)),
% 3.87/1.07 introduced(choice_axiom,[])).
% 3.87/1.07
% 3.87/1.07 tff(f112,plain,(
% 3.87/1.07 ? [X5 : map_int_int] : (~inv_l21(X5,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),sK5) = X5) => (~inv_l21(sK6,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),sK5) = sK6)),
% 3.87/1.07 introduced(choice_axiom,[])).
% 3.87/1.07
% 3.87/1.07 tff(f113,plain,(
% 3.87/1.07 ((((~inv_l21(sK6,sK1,sK3) & set2(sK2,$sum(sK1,$uminus(16)),sK5) = sK6) & 2 = sK5) & 0 = sK4) & 0 = sK3) & inv1(sK2) & separation1(sK1)),
% 3.87/1.07 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f102,f112,f111,f110,f109,f108])).
% 3.87/1.07
% 3.87/1.07 tff(f128,plain,(
% 3.87/1.07 ( ! [X0 : $int] : (tb2t1(t2tb1(X0)) = X0) )),
% 3.87/1.07 inference(cnf_transformation,[],[f67])).
% 3.87/1.07
% 3.87/1.07 tff(f129,plain,(
% 3.87/1.07 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )),
% 3.87/1.07 inference(cnf_transformation,[],[f68])).
% 3.87/1.07
% 3.87/1.07 tff(f130,plain,(
% 3.87/1.07 ( ! [X2 : $int,X3 : $int,X0 : map_int_int,X1 : $int] : (tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = X3 | X1 != X2) )),
% 3.87/1.07 inference(cnf_transformation,[],[f87])).
% 3.87/1.07
% 3.87/1.07 tff(f132,plain,(
% 3.87/1.07 ( ! [X2 : $int,X3 : $int,X0 : map_int_int,X1 : $int] : (tb2t1(get(int,int,t2tb(set2(X0,X1,X3)),t2tb1(X2))) = tb2t1(get(int,int,t2tb(X0),t2tb1(X2))) | X1 = X2) )),
% 3.87/1.07 inference(cnf_transformation,[],[f90])).
% 3.87/1.07
% 3.87/1.07 tff(f140,plain,(
% 3.87/1.07 ( ! [X0 : $int] : ($less($sum(a1,10),$sum(X0,$uminus(24))) | ~separation1(X0)) )),
% 3.87/1.07 inference(cnf_transformation,[],[f96])).
% 3.87/1.07
% 3.87/1.07 tff(f141,plain,(
% 3.87/1.07 ( ! [X0 : map_int_int] : (0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ~inv1(X0)) )),
% 3.87/1.07 inference(cnf_transformation,[],[f107])).
% 3.87/1.07
% 3.87/1.07 tff(f142,plain,(
% 3.87/1.07 ( ! [X2 : $int,X0 : map_int_int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) | $less(10,X2) | $less(X2,1) | ~inv1(X0)) )),
% 3.87/1.07 inference(cnf_transformation,[],[f107])).
% 3.87/1.07
% 3.87/1.07 tff(f143,plain,(
% 3.87/1.07 ( ! [X0 : map_int_int] : (inv1(X0) | ~$less(sK0(X0),1) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) )),
% 3.87/1.07 inference(cnf_transformation,[],[f107])).
% 3.87/1.07
% 3.87/1.07 tff(f144,plain,(
% 3.87/1.07 ( ! [X0 : map_int_int] : (inv1(X0) | ~$less(10,sK0(X0)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) )),
% 3.87/1.07 inference(cnf_transformation,[],[f107])).
% 3.87/1.07
% 3.87/1.07 tff(f145,plain,(
% 3.87/1.07 ( ! [X0 : map_int_int] : (inv1(X0) | ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK0(X0)))))) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) )),
% 3.87/1.07 inference(cnf_transformation,[],[f107])).
% 3.87/1.07
% 3.87/1.07 tff(f146,plain,(
% 3.87/1.07 ( ! [X2 : $int,X0 : map_int_int,X1 : $int] : (inv_l21(X0,X1,X2) | ~inv1(X0) | $sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)) )),
% 3.87/1.07 inference(cnf_transformation,[],[f100])).
% 3.87/1.07
% 3.87/1.07 tff(f147,plain,(
% 3.87/1.07 separation1(sK1)),
% 3.87/1.07 inference(cnf_transformation,[],[f113])).
% 3.87/1.07
% 3.87/1.07 tff(f148,plain,(
% 3.87/1.07 inv1(sK2)),
% 3.87/1.07 inference(cnf_transformation,[],[f113])).
% 3.87/1.07
% 3.87/1.07 tff(f149,plain,(
% 3.87/1.07 0 = sK3),
% 3.87/1.07 inference(cnf_transformation,[],[f113])).
% 3.87/1.07
% 3.87/1.07 tff(f151,plain,(
% 3.87/1.07 2 = sK5),
% 3.87/1.07 inference(cnf_transformation,[],[f113])).
% 3.87/1.07
% 3.87/1.07 tff(f152,plain,(
% 3.87/1.07 set2(sK2,$sum(sK1,$uminus(16)),sK5) = sK6),
% 3.87/1.07 inference(cnf_transformation,[],[f113])).
% 3.87/1.07
% 3.87/1.07 tff(f153,plain,(
% 3.87/1.07 ~inv_l21(sK6,sK1,sK3)),
% 3.87/1.07 inference(cnf_transformation,[],[f113])).
% 3.87/1.07
% 3.87/1.07 tff(f154,plain,(
% 3.87/1.07 ~inv_l21(sK6,sK1,0)),
% 3.87/1.07 inference(definition_unfolding,[],[f153,f149])).
% 3.87/1.07
% 3.87/1.07 tff(f155,plain,(
% 3.87/1.07 sK6 = set2(sK2,$sum(sK1,$uminus(16)),2)),
% 3.87/1.07 inference(definition_unfolding,[],[f152,f151])).
% 3.87/1.07
% 3.87/1.07 tff(f157,plain,(
% 3.87/1.07 ( ! [X2 : $int,X3 : $int,X0 : map_int_int] : (tb2t1(get(int,int,t2tb(set2(X0,X2,X3)),t2tb1(X2))) = X3) )),
% 3.87/1.07 inference(equality_resolution,[],[f130])).
% 3.87/1.07
% 3.87/1.07 tff(f159,plain,(
% 3.87/1.07 ( ! [X0 : map_int_int,X1 : $int] : (inv_l21(X0,X1,$sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2))) | ~inv1(X0) | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)) )),
% 3.87/1.07 inference(equality_resolution,[],[f146])).
% 3.87/1.07
% 3.87/1.07 cnf(c_54,plain,
% 3.87/1.07 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.87/1.07 inference(cnf_transformation,[],[f49])).
% 3.87/1.07
% 3.87/1.07 cnf(c_55,plain,
% 3.87/1.07 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.87/1.07 inference(cnf_transformation,[],[f48])).
% 3.87/1.07
% 3.87/1.07 cnf(c_57,plain,
% 3.87/1.07 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.87/1.07 inference(cnf_transformation,[],[f46])).
% 3.87/1.07
% 3.87/1.07 cnf(c_60,plain,
% 3.87/1.07 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.87/1.07 inference(cnf_transformation,[],[f43])).
% 3.87/1.07
% 3.87/1.07 cnf(c_61,plain,
% 3.87/1.07 (~$less_int(X0_3,X0_3)),
% 3.87/1.07 inference(cnf_transformation,[],[f42])).
% 3.87/1.07
% 3.87/1.07 cnf(c_62,plain,
% 3.87/1.07 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 3.87/1.07 inference(cnf_transformation,[],[f41])).
% 3.87/1.07
% 3.87/1.07 cnf(c_63,plain,
% 3.87/1.07 ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 3.87/1.07 inference(cnf_transformation,[],[f40])).
% 3.87/1.07
% 3.87/1.07 cnf(c_64,plain,
% 3.87/1.07 ($sum_int(X0_3,0) = X0_3),
% 3.87/1.07 inference(cnf_transformation,[],[f39])).
% 3.87/1.07
% 3.87/1.07 cnf(c_65,plain,
% 3.87/1.07 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.87/1.07 inference(cnf_transformation,[],[f38])).
% 3.87/1.07
% 3.87/1.07 cnf(c_66,plain,
% 3.87/1.07 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.87/1.07 inference(cnf_transformation,[],[f37])).
% 3.87/1.07
% 3.87/1.07 cnf(c_81,plain,
% 3.87/1.07 (tb2t1(t2tb1(X0_3)) = X0_3),
% 3.87/1.07 inference(cnf_transformation,[],[f128])).
% 3.87/1.07
% 3.87/1.07 cnf(c_82,plain,
% 3.87/1.07 (t2tb1(tb2t1(X0_13)) = X0_13),
% 3.87/1.07 inference(cnf_transformation,[],[f129])).
% 3.87/1.07
% 3.87/1.07 cnf(c_83,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(set2(X0_17,X0_3,X1_3)),t2tb1(X0_3))) = X1_3),
% 3.87/1.07 inference(cnf_transformation,[],[f157])).
% 3.87/1.07
% 3.87/1.07 cnf(c_85,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(set2(X0_17,X0_3,X1_3)),t2tb1(X2_3))) = tb2t1(get(int,int,t2tb(X0_17),t2tb1(X2_3)))|
% 3.87/1.07 X0_3 = X2_3),
% 3.87/1.07 inference(cnf_transformation,[],[f132])).
% 3.87/1.07
% 3.87/1.07 cnf(c_93,plain,
% 3.87/1.07 (~separation1(X0_3)|$less_int($sum_int(a1,10),$sum_int(X0_3,$uminus_int(24)))),
% 3.87/1.07 inference(cnf_transformation,[],[f140])).
% 3.87/1.07
% 3.87/1.07 cnf(c_94,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(X0_17),t2tb1(a1))) != 0|~$less_int(0,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(a1,sK0(X0_17))))))|
% 3.87/1.07 inv1(X0_17)),
% 3.87/1.07 inference(cnf_transformation,[],[f145])).
% 3.87/1.07
% 3.87/1.07 cnf(c_95,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(X0_17),t2tb1(a1))) != 0|~$less_int(10,sK0(X0_17))|
% 3.87/1.07 inv1(X0_17)),
% 3.87/1.07 inference(cnf_transformation,[],[f144])).
% 3.87/1.07
% 3.87/1.07 cnf(c_96,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(X0_17),t2tb1(a1))) != 0|~$less_int(sK0(X0_17),1)|
% 3.87/1.07 inv1(X0_17)),
% 3.87/1.07 inference(cnf_transformation,[],[f143])).
% 3.87/1.07
% 3.87/1.07 cnf(c_97,plain,
% 3.87/1.07 (~inv1(X0_17)|$less_int(0,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(a1,X0_3)))))|
% 3.87/1.07 $less_int(X0_3,1)|$less_int(10,X0_3)),
% 3.87/1.07 inference(cnf_transformation,[],[f142])).
% 3.87/1.07
% 3.87/1.07 cnf(c_98,plain,
% 3.87/1.07 (~inv1(X0_17)|tb2t1(get(int,int,t2tb(X0_17),t2tb1(a1))) = 0),
% 3.87/1.07 inference(cnf_transformation,[],[f141])).
% 3.87/1.07
% 3.87/1.07 cnf(c_99,plain,
% 3.87/1.07 (~inv1(X0_17)|inv_l21(X0_17,X0_3,$sum_int(tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(X0_3,$uminus_int(16))))),$uminus_int(2)))|
% 3.87/1.07 $less_int(tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(X0_3,$uminus_int(16))))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(X0_3,$uminus_int(16))))))),
% 3.87/1.07 inference(cnf_transformation,[],[f159])).
% 3.87/1.07
% 3.87/1.07 cnf(c_100,negated_conjecture,
% 3.87/1.07 (~inv_l21(sK6,sK1,0)),
% 3.87/1.07 inference(cnf_transformation,[],[f154])).
% 3.87/1.07
% 3.87/1.07 cnf(c_101,negated_conjecture,
% 3.87/1.07 (set2(sK2,$sum_int(sK1,$uminus_int(16)),2) = sK6),
% 3.87/1.07 inference(cnf_transformation,[],[f155])).
% 3.87/1.07
% 3.87/1.07 cnf(c_102,negated_conjecture,
% 3.87/1.07 (inv1(sK2)),
% 3.87/1.07 inference(cnf_transformation,[],[f148])).
% 3.87/1.07
% 3.87/1.07 cnf(c_103,negated_conjecture,
% 3.87/1.07 (separation1(sK1)),
% 3.87/1.07 inference(cnf_transformation,[],[f147])).
% 3.87/1.07
% 3.87/1.07 cnf(c_106,plain,($less_int(2,10)),theory(arith)).
% 3.87/1.07
% 3.87/1.07 cnf(c_107,plain,($less_int(10,11)),theory(arith)).
% 3.87/1.07
% 3.87/1.07 cnf(c_153,plain,
% 3.87/1.07 (~inv1(X0_17)|inv_l21(X0_17,X0_3,$sum_int($uminus_int(2),tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(X0_3,$uminus_int(16)))))))|
% 3.87/1.07 $less_int(tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(X0_3,$uminus_int(16))))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(X0_3,$uminus_int(16))))))),
% 3.87/1.07 inference(theory_normalisation,[status(thm)],[c_99,c_54,c_55,c_65,c_66])).
% 3.87/1.07
% 3.87/1.07 cnf(c_172,plain,
% 3.87/1.07 (~separation1(X0_3)|$less_int($sum_int(a1,10),$sum_int(X0_3,$uminus_int(24)))),
% 3.87/1.07 inference(prop_impl_just,[status(thm)],[c_93])).
% 3.87/1.07
% 3.87/1.07 cnf(c_489,plain,
% 3.87/1.07 (set2(sK2,$sum_int(-16,sK1),2) = sK6),
% 3.87/1.07 inference(smt_theory_normalisation,[status(thm)],[c_101])).
% 3.87/1.07
% 3.87/1.07 cnf(c_490,plain,
% 3.87/1.07 (set2(sK2,$sum_int(sK1,-16),2) = sK6),
% 3.87/1.07 inference(theory_normalisation,[status(thm)],[c_489,c_65,c_66,c_54,c_55])).
% 3.87/1.07
% 3.87/1.07 cnf(c_501,plain,
% 3.87/1.07 (~separation1(X0_3)|$less_int($sum_int(34,a1),X0_3)),
% 3.87/1.07 inference(smt_theory_normalisation,[status(thm)],[c_172])).
% 3.87/1.07
% 3.87/1.07 cnf(c_502,plain,
% 3.87/1.07 (~separation1(X0_3)|$less_int($sum_int(a1,34),X0_3)),
% 3.87/1.07 inference(theory_normalisation,[status(thm)],[c_501,c_65,c_66,c_54,c_55])).
% 3.87/1.07
% 3.87/1.07 cnf(c_594,plain,
% 3.87/1.07 (~inv1(X0_17)|inv_l21(X0_17,X0_3,$sum_int(-2,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(-16,X0_3))))))|
% 3.87/1.07 $less_int(tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(-16,X0_3)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(-16,X0_3)))))),
% 3.87/1.07 inference(smt_theory_normalisation,[status(thm)],[c_153])).
% 3.87/1.07
% 3.87/1.07 cnf(c_633,plain,
% 3.87/1.07 (X0_3 != sK1|$less_int($sum_int(a1,34),X0_3)),
% 3.87/1.07 inference(resolution_lifted,[status(thm)],[c_502,c_103])).
% 3.87/1.07
% 3.87/1.07 cnf(c_634,plain,
% 3.87/1.07 ($less_int($sum_int(a1,34),sK1)),
% 3.87/1.07 inference(unflattening,[status(thm)],[c_633])).
% 3.87/1.07
% 3.87/1.07 cnf(c_639,plain,
% 3.87/1.07 ($sum_int(-2,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(-16,X0_3))))) != 0|
% 3.87/1.07 X0_3 != sK1|X0_17 != sK6|~inv1(X0_17)|$less_int(tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(-16,X0_3)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(X0_17),t2tb1($sum_int(-16,X0_3)))))),
% 3.87/1.07 inference(resolution_lifted,[status(thm)],[c_100,c_594])).
% 3.87/1.07
% 3.87/1.07 cnf(c_640,plain,
% 3.87/1.07 ($sum_int(-2,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(-16,sK1))))) != 0|
% 3.87/1.07 ~inv1(sK6)|$less_int(tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(-16,sK1)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(-16,sK1)))))),
% 3.87/1.07 inference(unflattening,[status(thm)],[c_639])).
% 3.87/1.07
% 3.87/1.07 cnf(c_832,plain,
% 3.87/1.07 ($sum_int(-2,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16))))) != 0|
% 3.87/1.07 ~inv1(sK6)|$less_int(tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))))),
% 3.87/1.07 inference(theory_normalisation,[status(thm)],[c_640,c_54,c_55,c_65,c_66])).
% 3.87/1.07
% 3.87/1.07 cnf(c_1236,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(-16,sK1)))) != 2|~inv1(sK6)|
% 3.87/1.07 $less_int(tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))))),
% 3.87/1.07 inference(smt_theory_normalisation,[status(thm)],[c_832])).
% 3.87/1.07
% 3.87/1.07 cnf(c_1237,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))) != 2|~inv1(sK6)|
% 3.87/1.07 $less_int(tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))))),
% 3.87/1.07 inference(theory_normalisation,
% 3.87/1.07 [status(thm)],
% 3.87/1.07 [c_1236,c_65,c_66,c_54,c_55])).
% 3.87/1.07
% 3.87/1.07 cnf(c_1449,negated_conjecture,
% 3.87/1.07 (inv1(sK2)),
% 3.87/1.07 inference(demodulation,[status(thm)],[c_102])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2448,plain,
% 3.87/1.07 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 3.87/1.07 inference(superposition,[status(thm)],[c_65,c_66])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2467,plain,
% 3.87/1.07 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_62,c_2448])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2492,plain,
% 3.87/1.07 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.87/1.07 inference(superposition,[status(thm)],[c_57,c_61])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2499,plain,
% 3.87/1.07 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.87/1.07 inference(superposition,[status(thm)],[c_66,c_2492])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2529,plain,
% 3.87/1.07 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 3.87/1.07 inference(demodulation,[status(thm)],[c_2467,c_64])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2535,plain,
% 3.87/1.07 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = X1_3),
% 3.87/1.07 inference(superposition,[status(thm)],[c_66,c_2529])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2544,plain,
% 3.87/1.07 ($less_int($sum_int(X0_3,$uminus_int(1)),X0_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_2529,c_2499])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2691,plain,
% 3.87/1.07 (~$less_int(10,X0_3)|$less_int(2,X0_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_106,c_60])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2695,plain,
% 3.87/1.07 (~$less_int(sK1,X0_3)|$less_int($sum_int(a1,34),X0_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_634,c_60])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2838,plain,
% 3.87/1.07 (~$less_int(X0_3,X1_3)|~$less_int(sK1,X0_3)|$less_int($sum_int(a1,34),X1_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_2695,c_60])).
% 3.87/1.07
% 3.87/1.07 cnf(c_2913,plain,
% 3.87/1.07 (~$less_int(sK1,$sum_int(X0_3,$uminus_int(1)))|$less_int($sum_int(a1,34),X0_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_2544,c_2838])).
% 3.87/1.07
% 3.87/1.07 cnf(c_3051,plain,
% 3.87/1.07 ($sum_int(X0_3,$uminus_int($sum_int(X1_3,X0_3))) = $uminus_int(X1_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_63,c_2535])).
% 3.87/1.07
% 3.87/1.07 cnf(c_3618,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))) = 2),
% 3.87/1.07 inference(superposition,[status(thm)],[c_490,c_83])).
% 3.87/1.07
% 3.87/1.07 cnf(c_3621,plain,
% 3.87/1.07 (~inv1(sK6)|$less_int(tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))),2)|
% 3.87/1.07 $less_int(11,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16)))))),
% 3.87/1.07 inference(backward_subsumption_resolution,[status(thm)],[c_1237,c_3618])).
% 3.87/1.07
% 3.87/1.07 cnf(c_3701,plain,
% 3.87/1.07 (get(int,int,t2tb(sK6),t2tb1($sum_int(sK1,-16))) = t2tb1(2)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_3618,c_82])).
% 3.87/1.07
% 3.87/1.07 cnf(c_3786,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK2),t2tb1(a1))) = 0),
% 3.87/1.07 inference(superposition,[status(thm)],[c_1449,c_98])).
% 3.87/1.07
% 3.87/1.07 cnf(c_3969,plain,
% 3.87/1.07 (get(int,int,t2tb(sK2),t2tb1(a1)) = t2tb1(0)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_3786,c_82])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4123,plain,
% 3.87/1.07 (~$less_int($sum_int(1,sK1),X0_3)|$less_int($sum_int(a1,34),X0_3)),
% 3.87/1.07 inference(smt_theory_normalisation,[status(thm)],[c_2913])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4135,plain,
% 3.87/1.07 ($less_int($sum_int(a1,34),$sum_int(1,$sum_int(1,sK1)))),
% 3.87/1.07 inference(superposition,[status(thm)],[c_2499,c_4123])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4358,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK2),t2tb1(X0_3))) = tb2t1(get(int,int,t2tb(sK6),t2tb1(X0_3)))|
% 3.87/1.07 $sum_int(sK1,-16) = X0_3),
% 3.87/1.07 inference(superposition,[status(thm)],[c_490,c_85])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4449,plain,
% 3.87/1.07 ($less_int(2,11)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_107,c_2691])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4485,plain,
% 3.87/1.07 (~$less_int(11,X0_3)|$less_int(2,X0_3)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_4449,c_60])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4519,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK2),t2tb1(a1))) != 0|~$less_int(sK0(sK6),1)|
% 3.87/1.07 $sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_4358,c_96])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4520,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK2),t2tb1(a1))) != 0|~$less_int(10,sK0(sK6))|
% 3.87/1.07 $sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_4358,c_95])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4526,plain,
% 3.87/1.07 (tb2t1(t2tb1(0)) != 0|~$less_int(10,sK0(sK6))|$sum_int(sK1,-16) = a1|
% 3.87/1.07 inv1(sK6)),
% 3.87/1.07 inference(light_normalisation,[status(thm)],[c_4520,c_3969])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4527,plain,
% 3.87/1.07 (~$less_int(10,sK0(sK6))|$sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(forward_subsumption_resolution,[status(thm)],[c_4526,c_81])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4531,plain,
% 3.87/1.07 (tb2t1(t2tb1(0)) != 0|~$less_int(sK0(sK6),1)|$sum_int(sK1,-16) = a1|
% 3.87/1.07 inv1(sK6)),
% 3.87/1.07 inference(light_normalisation,[status(thm)],[c_4519,c_3969])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4532,plain,
% 3.87/1.07 (~$less_int(sK0(sK6),1)|$sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(forward_subsumption_resolution,[status(thm)],[c_4531,c_81])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4791,plain,
% 3.87/1.07 (tb2t1(get(int,int,t2tb(sK2),t2tb1(a1))) != 0|~$less_int(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(a1,sK0(sK6))))))|
% 3.87/1.07 $sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_4358,c_94])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4798,plain,
% 3.87/1.07 (tb2t1(t2tb1(0)) != 0|~$less_int(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(a1,sK0(sK6))))))|
% 3.87/1.07 $sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(light_normalisation,[status(thm)],[c_4791,c_3969])).
% 3.87/1.07
% 3.87/1.07 cnf(c_4799,plain,
% 3.87/1.07 (~$less_int(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum_int(a1,sK0(sK6))))))|
% 3.87/1.07 $sum_int(sK1,-16) = a1|inv1(sK6)),
% 3.87/1.07 inference(forward_subsumption_resolution,[status(thm)],[c_4798,c_81])).
% 3.87/1.07
% 3.87/1.07 cnf(c_6246,plain,
% 3.87/1.07 (~$less_int(0,tb2t1(get(int,int,t2tb(sK2),t2tb1($sum_int(a1,sK0(sK6))))))|
% 3.87/1.07 $sum_int(a1,sK0(sK6)) = $sum_int(sK1,-16)|$sum_int(sK1,-16) = a1|
% 3.87/1.07 inv1(sK6)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_4358,c_4799])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7070,plain,
% 3.87/1.07 (~inv1(sK6)|$less_int(tb2t1(t2tb1(2)),2)|$less_int(11,tb2t1(t2tb1(2)))),
% 3.87/1.07 inference(light_normalisation,[status(thm)],[c_3621,c_3701])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7071,plain,
% 3.87/1.07 (~inv1(sK6)|$less_int(2,2)|$less_int(11,2)),
% 3.87/1.07 inference(demodulation,[status(thm)],[c_7070,c_81])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7072,plain,
% 3.87/1.07 (~inv1(sK6)|$less_int(11,2)),
% 3.87/1.07 inference(forward_subsumption_resolution,[status(thm)],[c_7071,c_61])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7083,plain,
% 3.87/1.07 (~inv1(sK6)|$less_int(2,2)),
% 3.87/1.07 inference(superposition,[status(thm)],[c_7072,c_4485])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7087,plain,
% 3.87/1.07 (~inv1(sK6)),
% 3.87/1.07 inference(forward_subsumption_resolution,[status(thm)],[c_7083,c_61])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7089,plain,
% 3.87/1.07 (~$less_int(sK0(sK6),1)|$sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(backward_subsumption_resolution,[status(thm)],[c_4532,c_7087])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7090,plain,
% 3.87/1.07 (~$less_int(10,sK0(sK6))|$sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(backward_subsumption_resolution,[status(thm)],[c_4527,c_7087])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7242,plain,
% 3.87/1.07 ($sum_int(sK1,-16) = a1|$sum_int(a1,sK0(sK6)) = $sum_int(sK1,-16)|
% 3.87/1.07 ~$less_int(0,tb2t1(get(int,int,t2tb(sK2),t2tb1($sum_int(a1,sK0(sK6))))))),
% 3.87/1.07 inference(global_subsumption_just,[status(thm)],[c_6246,c_6246,c_7087])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7243,plain,
% 3.87/1.07 (~$less_int(0,tb2t1(get(int,int,t2tb(sK2),t2tb1($sum_int(a1,sK0(sK6))))))|
% 3.87/1.07 $sum_int(a1,sK0(sK6)) = $sum_int(sK1,-16)|$sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(renaming,[status(thm)],[c_7242])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7252,plain,
% 3.87/1.07 (~inv1(sK2)|$sum_int(a1,sK0(sK6)) = $sum_int(sK1,-16)|$sum_int(sK1,-16) = a1|
% 3.87/1.07 $less_int(sK0(sK6),1)|$less_int(10,sK0(sK6))),
% 3.87/1.07 inference(superposition,[status(thm)],[c_97,c_7243])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7254,plain,
% 3.87/1.07 ($sum_int(a1,sK0(sK6)) = $sum_int(sK1,-16)|$sum_int(sK1,-16) = a1|
% 3.87/1.07 $less_int(sK0(sK6),1)|$less_int(10,sK0(sK6))),
% 3.87/1.07 inference(forward_subsumption_resolution,[status(thm)],[c_7252,c_1449])).
% 3.87/1.07
% 3.87/1.07 cnf(c_7434,plain,
% 3.87/1.07 ($sum_int(a1,sK0(sK6)) = $sum_int(sK1,-16)|$sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(global_subsumption_just,
% 3.87/1.07 [status(thm)],
% 3.87/1.07 [c_7254,c_7090,c_7089,c_7254])).
% 3.87/1.07
% 3.87/1.07 cnf(c_8084,plain,
% 3.87/1.07 ($sum_int(sK0(sK6),$uminus_int($sum_int(sK1,-16))) = $uminus_int(a1)|
% 3.87/1.07 $sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(superposition,[status(thm)],[c_7434,c_3051])).
% 3.87/1.07
% 3.87/1.07 cnf(c_8369,plain,
% 3.87/1.07 ($sum_int(sK0(sK6),$sum_int(X0_3,$uminus_int($sum_int(sK1,-16)))) = $sum_int(X0_3,$uminus_int(a1))|
% 3.87/1.07 $sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(superposition,[status(thm)],[c_8084,c_2448])).
% 3.87/1.07
% 3.87/1.07 cnf(c_8433,plain,
% 3.87/1.07 ($sum_int(sK0(sK6),$product_int(-1,sK1)) = $sum_int(-16,$product_int(-1,a1))|
% 3.87/1.07 $sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(smt_theory_normalisation,[status(thm)],[c_8369])).
% 3.87/1.07
% 3.87/1.07 cnf(c_8434,plain,
% 3.87/1.07 ($sum_int(sK0(sK6),$product_int(sK1,-1)) = $sum_int(-16,$product_int(a1,-1))|
% 3.87/1.07 $sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(theory_normalisation,
% 3.87/1.07 [status(thm)],
% 3.87/1.07 [c_8433,c_65,c_66,c_54,c_55])).
% 3.87/1.07
% 3.87/1.07 cnf(c_8445,plain,
% 3.87/1.07 ($sum_int(sK0(sK6),$sum_int($product_int(sK1,-1),X0_3)) = $sum_int($sum_int(-16,$product_int(a1,-1)),X0_3)|
% 3.87/1.07 $sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(superposition,[status(thm)],[c_8434,c_65])).
% 3.87/1.07
% 3.87/1.07 cnf(c_8450,plain,
% 3.87/1.07 ($sum_int(sK0(sK6),$sum_int($product_int(sK1,-1),X0_3)) = $sum_int(-16,$sum_int($product_int(a1,-1),X0_3))|
% 3.87/1.07 $sum_int(sK1,-16) = a1),
% 3.87/1.07 inference(theory_normalisation,
% 3.87/1.07 [status(thm)],
% 3.87/1.07 [c_8445,c_65,c_66,c_54,c_55])).
% 3.87/1.07
% 3.87/1.07 cnf(c_10352,plain,
% 3.87/1.07 ($false),
% 3.87/1.07 inference(smt_impl_just,[status(thm)],[c_8450,c_7090,c_4135,c_634])).
% 3.87/1.07
% 3.87/1.07
% 3.87/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 3.87/1.07
% 3.87/1.07
%------------------------------------------------------------------------------