TSTP Solution File: SWW811_1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW811_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 00:41:08 EDT 2023
% Result : Unsatisfiable 4.13s 1.16s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW811_1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Aug 27 19:02:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running TFA theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.13/1.16 % SZS status Started for theBenchmark.p
% 4.13/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.13/1.16
% 4.13/1.16 ------ iProver source info
% 4.13/1.16
% 4.13/1.16 git: date: 2023-05-31 18:12:56 +0000
% 4.13/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.13/1.16 git: non_committed_changes: false
% 4.13/1.16 git: last_make_outside_of_git: false
% 4.13/1.16
% 4.13/1.16 ------ Parsing...
% 4.13/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.16
% 4.13/1.16 ------ Preprocessing... sup_sim: 13 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 16 sf_s rm: 3 0s sf_e pe_s pe_e
% 4.13/1.16
% 4.13/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 tff(f101,axiom,(
% 4.13/1.16 ~! [X562 : $int,X563 : c_unique,X564 : $int,X565 : $int,X566 : c_unique] : ((valid_range(c_sort(type_alloc_table,X563),c_sort(type_pointer(type_global),X566),0,2800) & 10000 = X562 & 2800 = X565 & 0 = X564) => ! [X567 : $int,X568 : c_unique] : ((! [X569 : $int] : ? [X570 : c_type] : ((($less(X569,X567) & $lesseq(0,X569)) => 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X568),c_sort(X570,shift(c_sort(X570,X566),X569)))))) & type_pointer(type_global) = X570) & $lesseq(X567,2800) & $lesseq(0,X567)) => (0 = $difference(X567,X565) => ! [X571 : $int] : ((0 = '%'(X571,14) & $lesseq(X571,2800) & $lesseq(0,X571)) => ! [X572 : $int] : (0 = X572 => ! [X573 : $int] : ($product(X571,2) = X573 => (0 != X573 => ! [X574 : $int] : (X571 = X574 => ! [X575 : $int,X576 : $int,X577 : $int,X578 : c_unique] : (($product(X575,2) = X577 & $lesseq(X575,X571) & $lesseq(1,X575)) => (0 != 1 => ! [X579 : c_unique] : ? [X580 : c_type] : ((shift(c_sort(X580,X566),X575) = X579 => (valid(c_sort(type_alloc_table,X563),c_sort(X580,X579)) => ! [X581 : c_unique] : (acc(c_sort(type_memory(c_int,type_global),X578),c_sort(X580,X579)) = X581 => ! [X582 : $int] : ($sum(X576,$product(ss2Int(c_sort(c_int,X581)),X562)) = X582 => ! [X583 : c_unique] : (shift(c_sort(X580,X566),X575) = X583 => ! [X584 : $int] : ($difference(X577,1) = X584 => (0 != X584 => ! [X585 : $int] : ('%'(X582,X584) = X585 => (valid(c_sort(type_alloc_table,X563),c_sort(X580,X583)) => ! [X586 : c_unique] : (upd(c_sort(type_memory(c_int,type_global),X578),c_sort(X580,X583),c_sort(c_int,int2U(X585))) = X586 => ! [X587 : $int] : ($difference(X584,1) = X587 => (0 != X584 => ! [X588 : $int] : (whydivide(X582,X584) = X588 => ! [X589 : $int] : (X588 = X589 => ! [X590 : $int] : ($difference(X575,1) = X590 => (0 != X590 => ! [X591 : $int] : ($product(X589,X590) = X591 => $product(X590,2) = X587))))))))))))))))) & type_pointer(type_global) = X580)))))))))))),
% 4.13/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_101)).
% 4.13/1.16
% 4.13/1.16 tff(f134,plain,(
% 4.13/1.16 ~! [X562 : $int,X563 : c_unique,X564 : $int,X565 : $int,X566 : c_unique] : ((valid_range(c_sort(type_alloc_table,X563),c_sort(type_pointer(type_global),X566),0,2800) & 10000 = X562 & 2800 = X565 & 0 = X564) => ! [X567 : $int,X568 : c_unique] : ((! [X569 : $int] : ? [X570 : c_type] : ((($less(X569,X567) & ~$less(X569,0)) => 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X568),c_sort(X570,shift(c_sort(X570,X566),X569)))))) & type_pointer(type_global) = X570) & ~$less(2800,X567) & ~$less(X567,0)) => (0 = $sum(X567,$uminus(X565)) => ! [X571 : $int] : ((0 = '%'(X571,14) & ~$less(2800,X571) & ~$less(X571,0)) => ! [X572 : $int] : (0 = X572 => ! [X573 : $int] : ($product(X571,2) = X573 => (0 != X573 => ! [X574 : $int] : (X571 = X574 => ! [X575 : $int,X576 : $int,X577 : $int,X578 : c_unique] : (($product(X575,2) = X577 & ~$less(X571,X575) & ~$less(X575,1)) => (0 != 1 => ! [X579 : c_unique] : ? [X580 : c_type] : ((shift(c_sort(X580,X566),X575) = X579 => (valid(c_sort(type_alloc_table,X563),c_sort(X580,X579)) => ! [X581 : c_unique] : (acc(c_sort(type_memory(c_int,type_global),X578),c_sort(X580,X579)) = X581 => ! [X582 : $int] : ($sum(X576,$product(ss2Int(c_sort(c_int,X581)),X562)) = X582 => ! [X583 : c_unique] : (shift(c_sort(X580,X566),X575) = X583 => ! [X584 : $int] : ($sum(X577,$uminus(1)) = X584 => (0 != X584 => ! [X585 : $int] : ('%'(X582,X584) = X585 => (valid(c_sort(type_alloc_table,X563),c_sort(X580,X583)) => ! [X586 : c_unique] : (upd(c_sort(type_memory(c_int,type_global),X578),c_sort(X580,X583),c_sort(c_int,int2U(X585))) = X586 => ! [X587 : $int] : ($sum(X584,$uminus(1)) = X587 => (0 != X584 => ! [X588 : $int] : (whydivide(X582,X584) = X588 => ! [X589 : $int] : (X588 = X589 => ! [X590 : $int] : ($sum(X575,$uminus(1)) = X590 => (0 != X590 => ! [X591 : $int] : ($product(X589,X590) = X591 => $product(X590,2) = X587))))))))))))))))) & type_pointer(type_global) = X580)))))))))))),
% 4.13/1.16 inference(theory_normalization,[],[f101])).
% 4.13/1.16
% 4.13/1.16 tff(f135,plain,(
% 4.13/1.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 4.13/1.16 introduced(theory_axiom_138,[])).
% 4.13/1.16
% 4.13/1.16 tff(f136,plain,(
% 4.13/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 4.13/1.16 introduced(theory_axiom_139,[])).
% 4.13/1.16
% 4.13/1.16 tff(f146,plain,(
% 4.13/1.16 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 4.13/1.16 introduced(theory_axiom_138,[])).
% 4.13/1.16
% 4.13/1.16 tff(f147,plain,(
% 4.13/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 4.13/1.16 introduced(theory_axiom_139,[])).
% 4.13/1.16
% 4.13/1.16 tff(f248,plain,(
% 4.13/1.16 ~! [X0 : $int,X1 : c_unique,X2 : $int,X3 : $int,X4 : c_unique] : ((valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800) & 10000 = X0 & 2800 = X3 & 0 = X2) => ! [X5 : $int,X6 : c_unique] : ((! [X7 : $int] : ? [X8 : c_type] : ((($less(X7,X5) & ~$less(X7,0)) => 2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X4),X7)))))) & type_pointer(type_global) = X8) & ~$less(2800,X5) & ~$less(X5,0)) => (0 = $sum(X5,$uminus(X3)) => ! [X9 : $int] : ((0 = '%'(X9,14) & ~$less(2800,X9) & ~$less(X9,0)) => ! [X10 : $int] : (0 = X10 => ! [X11 : $int] : ($product(X9,2) = X11 => (0 != X11 => ! [X12 : $int] : (X9 = X12 => ! [X13 : $int,X14 : $int,X15 : $int,X16 : c_unique] : (($product(X13,2) = X15 & ~$less(X9,X13) & ~$less(X13,1)) => (0 != 1 => ! [X17 : c_unique] : ? [X18 : c_type] : ((shift(c_sort(X18,X4),X13) = X17 => (valid(c_sort(type_alloc_table,X1),c_sort(X18,X17)) => ! [X19 : c_unique] : (acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) = X19 => ! [X20 : $int] : ($sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) = X20 => ! [X21 : c_unique] : (shift(c_sort(X18,X4),X13) = X21 => ! [X22 : $int] : ($sum(X15,$uminus(1)) = X22 => (0 != X22 => ! [X23 : $int] : ('%'(X20,X22) = X23 => (valid(c_sort(type_alloc_table,X1),c_sort(X18,X21)) => ! [X24 : c_unique] : (upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) = X24 => ! [X25 : $int] : ($sum(X22,$uminus(1)) = X25 => (0 != X22 => ! [X26 : $int] : (whydivide(X20,X22) = X26 => ! [X27 : $int] : (X26 = X27 => ! [X28 : $int] : ($sum(X13,$uminus(1)) = X28 => (0 != X28 => ! [X29 : $int] : ($product(X27,X28) = X29 => $product(X28,2) = X25))))))))))))))))) & type_pointer(type_global) = X18)))))))))))),
% 4.13/1.16 inference(rectify,[],[f134])).
% 4.13/1.16
% 4.13/1.16 tff(f331,plain,(
% 4.13/1.16 ? [X0 : $int,X1 : c_unique,X2 : $int,X3 : $int,X4 : c_unique] : (? [X5 : $int,X6 : c_unique] : ((? [X9 : $int] : (? [X10 : $int] : (? [X11 : $int] : ((? [X12 : $int] : (? [X13 : $int,X14 : $int,X15 : $int,X16 : c_unique] : ((? [X17 : c_unique] : ! [X18 : c_type] : (((? [X19 : c_unique] : (? [X20 : $int] : (? [X21 : c_unique] : (? [X22 : $int] : ((? [X23 : $int] : ((? [X24 : c_unique] : (? [X25 : $int] : ((? [X26 : $int] : (? [X27 : $int] : (? [X28 : $int] : ((? [X29 : $int] : ($product(X28,2) != X25 & $product(X27,X28) = X29) & 0 != X28) & $sum(X13,$uminus(1)) = X28) & X26 = X27) & whydivide(X20,X22) = X26) & 0 != X22) & $sum(X22,$uminus(1)) = X25) & upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) = X24) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X21))) & '%'(X20,X22) = X23) & 0 != X22) & $sum(X15,$uminus(1)) = X22) & shift(c_sort(X18,X4),X13) = X21) & $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) = X20) & acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) = X19) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X17))) & shift(c_sort(X18,X4),X13) = X17) | type_pointer(type_global) != X18) & 0 != 1) & ($product(X13,2) = X15 & ~$less(X9,X13) & ~$less(X13,1))) & X9 = X12) & 0 != X11) & $product(X9,2) = X11) & 0 = X10) & (0 = '%'(X9,14) & ~$less(2800,X9) & ~$less(X9,0))) & 0 = $sum(X5,$uminus(X3))) & (! [X7 : $int] : ? [X8 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X4),X7))))) | (~$less(X7,X5) | $less(X7,0))) & type_pointer(type_global) = X8) & ~$less(2800,X5) & ~$less(X5,0))) & (valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800) & 10000 = X0 & 2800 = X3 & 0 = X2))),
% 4.13/1.16 inference(ennf_transformation,[],[f248])).
% 4.13/1.16
% 4.13/1.16 tff(f332,plain,(
% 4.13/1.16 ? [X0 : $int,X1 : c_unique,X2 : $int,X3 : $int,X4 : c_unique] : (? [X5 : $int,X6 : c_unique] : (? [X9 : $int] : (? [X10 : $int] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : $int,X14 : $int,X15 : $int,X16 : c_unique] : (? [X17 : c_unique] : ! [X18 : c_type] : ((? [X19 : c_unique] : (? [X20 : $int] : (? [X21 : c_unique] : (? [X22 : $int] : (? [X23 : $int] : (? [X24 : c_unique] : (? [X25 : $int] : (? [X26 : $int] : (? [X27 : $int] : (? [X28 : $int] : (? [X29 : $int] : ($product(X28,2) != X25 & $product(X27,X28) = X29) & 0 != X28 & $sum(X13,$uminus(1)) = X28) & X26 = X27) & whydivide(X20,X22) = X26) & 0 != X22 & $sum(X22,$uminus(1)) = X25) & upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) = X24) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X21)) & '%'(X20,X22) = X23) & 0 != X22 & $sum(X15,$uminus(1)) = X22) & shift(c_sort(X18,X4),X13) = X21) & $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) = X20) & acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) = X19) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X17)) & shift(c_sort(X18,X4),X13) = X17) | type_pointer(type_global) != X18) & 0 != 1 & $product(X13,2) = X15 & ~$less(X9,X13) & ~$less(X13,1)) & X9 = X12) & 0 != X11 & $product(X9,2) = X11) & 0 = X10) & 0 = '%'(X9,14) & ~$less(2800,X9) & ~$less(X9,0)) & 0 = $sum(X5,$uminus(X3)) & ! [X7 : $int] : ? [X8 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X4),X7))))) | ~$less(X7,X5) | $less(X7,0)) & type_pointer(type_global) = X8) & ~$less(2800,X5) & ~$less(X5,0)) & valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800) & 10000 = X0 & 2800 = X3 & 0 = X2)),
% 4.13/1.16 inference(flattening,[],[f331])).
% 4.13/1.16
% 4.13/1.16 tff(f335,plain,(
% 4.13/1.16 ! [X13 : $int,X22 : $int,X20 : $int] : (? [X25 : $int] : (? [X26 : $int] : (? [X27 : $int] : (? [X28 : $int] : (? [X29 : $int] : ($product(X28,2) != X25 & $product(X27,X28) = X29) & 0 != X28 & $sum(X13,$uminus(1)) = X28) & X26 = X27) & whydivide(X20,X22) = X26) & 0 != X22 & $sum(X22,$uminus(1)) = X25) | ~sP1(X13,X22,X20))),
% 4.13/1.16 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
% 4.13/1.16
% 4.13/1.16 tff(f336,plain,(
% 4.13/1.16 ! [X13 : $int,X18 : c_type,X16 : c_unique,X1 : c_unique,X15 : $int,X4 : c_unique,X0 : $int,X19 : c_unique,X14 : $int] : (? [X20 : $int] : (? [X21 : c_unique] : (? [X22 : $int] : (? [X23 : $int] : (? [X24 : c_unique] : (sP1(X13,X22,X20) & upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) = X24) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X21)) & '%'(X20,X22) = X23) & 0 != X22 & $sum(X15,$uminus(1)) = X22) & shift(c_sort(X18,X4),X13) = X21) & $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) = X20) | ~sP2(X13,X18,X16,X1,X15,X4,X0,X19,X14))),
% 4.13/1.16 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
% 4.13/1.16
% 4.13/1.16 tff(f337,plain,(
% 4.13/1.16 ? [X0 : $int,X1 : c_unique,X2 : $int,X3 : $int,X4 : c_unique] : (? [X5 : $int,X6 : c_unique] : (? [X9 : $int] : (? [X10 : $int] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : $int,X14 : $int,X15 : $int,X16 : c_unique] : (? [X17 : c_unique] : ! [X18 : c_type] : ((? [X19 : c_unique] : (sP2(X13,X18,X16,X1,X15,X4,X0,X19,X14) & acc(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X17)) = X19) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X17)) & shift(c_sort(X18,X4),X13) = X17) | type_pointer(type_global) != X18) & 0 != 1 & $product(X13,2) = X15 & ~$less(X9,X13) & ~$less(X13,1)) & X9 = X12) & 0 != X11 & $product(X9,2) = X11) & 0 = X10) & 0 = '%'(X9,14) & ~$less(2800,X9) & ~$less(X9,0)) & 0 = $sum(X5,$uminus(X3)) & ! [X7 : $int] : ? [X8 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X8,shift(c_sort(X8,X4),X7))))) | ~$less(X7,X5) | $less(X7,0)) & type_pointer(type_global) = X8) & ~$less(2800,X5) & ~$less(X5,0)) & valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800) & 10000 = X0 & 2800 = X3 & 0 = X2)),
% 4.13/1.16 inference(definition_folding,[],[f332,f336,f335])).
% 4.13/1.16
% 4.13/1.16 tff(f580,plain,(
% 4.13/1.16 ! [X13 : $int,X18 : c_type,X16 : c_unique,X1 : c_unique,X15 : $int,X4 : c_unique,X0 : $int,X19 : c_unique,X14 : $int] : (? [X20 : $int] : (? [X21 : c_unique] : (? [X22 : $int] : (? [X23 : $int] : (? [X24 : c_unique] : (sP1(X13,X22,X20) & upd(c_sort(type_memory(c_int,type_global),X16),c_sort(X18,X21),c_sort(c_int,int2U(X23))) = X24) & valid(c_sort(type_alloc_table,X1),c_sort(X18,X21)) & '%'(X20,X22) = X23) & 0 != X22 & $sum(X15,$uminus(1)) = X22) & shift(c_sort(X18,X4),X13) = X21) & $sum(X14,$product(ss2Int(c_sort(c_int,X19)),X0)) = X20) | ~sP2(X13,X18,X16,X1,X15,X4,X0,X19,X14))),
% 4.13/1.16 inference(nnf_transformation,[],[f336])).
% 4.13/1.16
% 4.13/1.16 tff(f581,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : (? [X9 : $int] : (? [X10 : c_unique] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,X11,X9) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,X10),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,X10)) & '%'(X9,X11) = X12) & 0 != X11 & $sum(X4,$uminus(1)) = X11) & shift(c_sort(X1,X5),X0) = X10) & $sum(X8,$product(ss2Int(c_sort(c_int,X7)),X6)) = X9) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8))),
% 4.13/1.16 inference(rectify,[],[f580])).
% 4.13/1.16
% 4.13/1.16 tff(f582,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : (? [X9 : $int] : (? [X10 : c_unique] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,X11,X9) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,X10),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,X10)) & '%'(X9,X11) = X12) & 0 != X11 & $sum(X4,$uminus(1)) = X11) & shift(c_sort(X1,X5),X0) = X10) & $sum(X8,$product(ss2Int(c_sort(c_int,X7)),X6)) = X9) => (? [X10 : c_unique] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,X11,sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,X10),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,X10)) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),X11) = X12) & 0 != X11 & $sum(X4,$uminus(1)) = X11) & shift(c_sort(X1,X5),X0) = X10) & $sum(X8,$product(ss2Int(c_sort(c_int,X7)),X6)) = sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f583,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : (? [X10 : c_unique] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,X11,sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,X10),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,X10)) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),X11) = X12) & 0 != X11 & $sum(X4,$uminus(1)) = X11) & shift(c_sort(X1,X5),X0) = X10) => (? [X11 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,X11,sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8))) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),X11) = X12) & 0 != X11 & $sum(X4,$uminus(1)) = X11) & shift(c_sort(X1,X5),X0) = sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f584,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,X11,sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8))) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),X11) = X12) & 0 != X11 & $sum(X4,$uminus(1)) = X11) => (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8))) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8)) = X12) & 0 != sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8) & $sum(X4,$uminus(1)) = sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f585,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : (? [X12 : $int] : (? [X13 : c_unique] : (sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(X12))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8))) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8)) = X12) => (? [X13 : c_unique] : (sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(sK193(X0,X1,X2,X3,X4,X5,X6,X7,X8)))) = X13) & valid(c_sort(type_alloc_table,X3),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8))) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8)) = sK193(X0,X1,X2,X3,X4,X5,X6,X7,X8)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f586,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : (? [X13 : c_unique] : (sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(sK193(X0,X1,X2,X3,X4,X5,X6,X7,X8)))) = X13) => (sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(sK193(X0,X1,X2,X3,X4,X5,X6,X7,X8)))) = sK194(X0,X1,X2,X3,X4,X5,X6,X7,X8)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f587,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : c_type,X2 : c_unique,X3 : c_unique,X4 : $int,X5 : c_unique,X6 : $int,X7 : c_unique,X8 : $int] : ((((((sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & upd(c_sort(type_memory(c_int,type_global),X2),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)),c_sort(c_int,int2U(sK193(X0,X1,X2,X3,X4,X5,X6,X7,X8)))) = sK194(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & valid(c_sort(type_alloc_table,X3),c_sort(X1,sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8))) & '%'(sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8)) = sK193(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & 0 != sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8) & $sum(X4,$uminus(1)) = sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & shift(c_sort(X1,X5),X0) = sK191(X0,X1,X2,X3,X4,X5,X6,X7,X8)) & $sum(X8,$product(ss2Int(c_sort(c_int,X7)),X6)) = sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8))),
% 4.13/1.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK190,sK191,sK192,sK193,sK194])],[f581,f586,f585,f584,f583,f582])).
% 4.13/1.16
% 4.13/1.16 tff(f588,plain,(
% 4.13/1.16 ! [X13 : $int,X22 : $int,X20 : $int] : (? [X25 : $int] : (? [X26 : $int] : (? [X27 : $int] : (? [X28 : $int] : (? [X29 : $int] : ($product(X28,2) != X25 & $product(X27,X28) = X29) & 0 != X28 & $sum(X13,$uminus(1)) = X28) & X26 = X27) & whydivide(X20,X22) = X26) & 0 != X22 & $sum(X22,$uminus(1)) = X25) | ~sP1(X13,X22,X20))),
% 4.13/1.16 inference(nnf_transformation,[],[f335])).
% 4.13/1.16
% 4.13/1.16 tff(f589,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != X3 & $product(X5,X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & X4 = X5) & whydivide(X2,X1) = X4) & 0 != X1 & $sum(X1,$uminus(1)) = X3) | ~sP1(X0,X1,X2))),
% 4.13/1.16 inference(rectify,[],[f588])).
% 4.13/1.16
% 4.13/1.16 tff(f590,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : (? [X5 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != X3 & $product(X5,X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & X4 = X5) & whydivide(X2,X1) = X4) & 0 != X1 & $sum(X1,$uminus(1)) = X3) => (? [X4 : $int] : (? [X5 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != sK195(X0,X1,X2) & $product(X5,X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & X4 = X5) & whydivide(X2,X1) = X4) & 0 != X1 & $sum(X1,$uminus(1)) = sK195(X0,X1,X2)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f591,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X4 : $int] : (? [X5 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != sK195(X0,X1,X2) & $product(X5,X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & X4 = X5) & whydivide(X2,X1) = X4) => (? [X5 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != sK195(X0,X1,X2) & $product(X5,X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & sK196(X0,X1,X2) = X5) & whydivide(X2,X1) = sK196(X0,X1,X2)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f592,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X5 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != sK195(X0,X1,X2) & $product(X5,X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & sK196(X0,X1,X2) = X5) => (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != sK195(X0,X1,X2) & $product(sK197(X0,X1,X2),X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) & sK196(X0,X1,X2) = sK197(X0,X1,X2)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f593,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X6 : $int] : (? [X7 : $int] : ($product(X6,2) != sK195(X0,X1,X2) & $product(sK197(X0,X1,X2),X6) = X7) & 0 != X6 & $sum(X0,$uminus(1)) = X6) => (? [X7 : $int] : (sK195(X0,X1,X2) != $product(sK198(X0,X1,X2),2) & $product(sK197(X0,X1,X2),sK198(X0,X1,X2)) = X7) & 0 != sK198(X0,X1,X2) & $sum(X0,$uminus(1)) = sK198(X0,X1,X2)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f594,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X7 : $int] : (sK195(X0,X1,X2) != $product(sK198(X0,X1,X2),2) & $product(sK197(X0,X1,X2),sK198(X0,X1,X2)) = X7) => (sK195(X0,X1,X2) != $product(sK198(X0,X1,X2),2) & $product(sK197(X0,X1,X2),sK198(X0,X1,X2)) = sK199(X0,X1,X2)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f595,plain,(
% 4.13/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : ((((((sK195(X0,X1,X2) != $product(sK198(X0,X1,X2),2) & $product(sK197(X0,X1,X2),sK198(X0,X1,X2)) = sK199(X0,X1,X2)) & 0 != sK198(X0,X1,X2) & $sum(X0,$uminus(1)) = sK198(X0,X1,X2)) & sK196(X0,X1,X2) = sK197(X0,X1,X2)) & whydivide(X2,X1) = sK196(X0,X1,X2)) & 0 != X1 & $sum(X1,$uminus(1)) = sK195(X0,X1,X2)) | ~sP1(X0,X1,X2))),
% 4.13/1.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK195,sK196,sK197,sK198,sK199])],[f589,f594,f593,f592,f591,f590])).
% 4.13/1.16
% 4.13/1.16 tff(f596,plain,(
% 4.13/1.16 ? [X0 : $int,X1 : c_unique,X2 : $int,X3 : $int,X4 : c_unique] : (? [X5 : $int,X6 : c_unique] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X11 : $int,X12 : $int,X13 : $int,X14 : c_unique] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,X1,X13,X4,X0,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,X1),c_sort(X16,X15)) & shift(c_sort(X16,X4),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(X7,X11) & ~$less(X11,1)) & X7 = X10) & 0 != X9 & $product(X7,2) = X9) & 0 = X8) & 0 = '%'(X7,14) & ~$less(2800,X7) & ~$less(X7,0)) & 0 = $sum(X5,$uminus(X3)) & ! [X18 : $int] : ? [X19 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X19,shift(c_sort(X19,X4),X18))))) | ~$less(X18,X5) | $less(X18,0)) & type_pointer(type_global) = X19) & ~$less(2800,X5) & ~$less(X5,0)) & valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800) & 10000 = X0 & 2800 = X3 & 0 = X2)),
% 4.13/1.16 inference(rectify,[],[f337])).
% 4.13/1.16
% 4.13/1.16 tff(f597,plain,(
% 4.13/1.16 ? [X0 : $int,X1 : c_unique,X2 : $int,X3 : $int,X4 : c_unique] : (? [X5 : $int,X6 : c_unique] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X11 : $int,X12 : $int,X13 : $int,X14 : c_unique] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,X1,X13,X4,X0,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,X1),c_sort(X16,X15)) & shift(c_sort(X16,X4),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(X7,X11) & ~$less(X11,1)) & X7 = X10) & 0 != X9 & $product(X7,2) = X9) & 0 = X8) & 0 = '%'(X7,14) & ~$less(2800,X7) & ~$less(X7,0)) & 0 = $sum(X5,$uminus(X3)) & ! [X18 : $int] : ? [X19 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X19,shift(c_sort(X19,X4),X18))))) | ~$less(X18,X5) | $less(X18,0)) & type_pointer(type_global) = X19) & ~$less(2800,X5) & ~$less(X5,0)) & valid_range(c_sort(type_alloc_table,X1),c_sort(type_pointer(type_global),X4),0,2800) & 10000 = X0 & 2800 = X3 & 0 = X2) => (? [X6 : c_unique,X5 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(X7,X11) & ~$less(X11,1)) & X7 = X10) & 0 != X9 & $product(X7,2) = X9) & 0 = X8) & 0 = '%'(X7,14) & ~$less(2800,X7) & ~$less(X7,0)) & 0 = $sum(X5,$uminus(sK203)) & ! [X18 : $int] : ? [X19 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X19,shift(c_sort(X19,sK204),X18))))) | ~$less(X18,X5) | $less(X18,0)) & type_pointer(type_global) = X19) & ~$less(2800,X5) & ~$less(X5,0)) & valid_range(c_sort(type_alloc_table,sK201),c_sort(type_pointer(type_global),sK204),0,2800) & 10000 = sK200 & 2800 = sK203 & 0 = sK202)),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f598,plain,(
% 4.13/1.16 ? [X6 : c_unique,X5 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(X7,X11) & ~$less(X11,1)) & X7 = X10) & 0 != X9 & $product(X7,2) = X9) & 0 = X8) & 0 = '%'(X7,14) & ~$less(2800,X7) & ~$less(X7,0)) & 0 = $sum(X5,$uminus(sK203)) & ! [X18 : $int] : ? [X19 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),X6),c_sort(X19,shift(c_sort(X19,sK204),X18))))) | ~$less(X18,X5) | $less(X18,0)) & type_pointer(type_global) = X19) & ~$less(2800,X5) & ~$less(X5,0)) => (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(X7,X11) & ~$less(X11,1)) & X7 = X10) & 0 != X9 & $product(X7,2) = X9) & 0 = X8) & 0 = '%'(X7,14) & ~$less(2800,X7) & ~$less(X7,0)) & 0 = $sum(sK205,$uminus(sK203)) & ! [X18 : $int] : ? [X19 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),sK206),c_sort(X19,shift(c_sort(X19,sK204),X18))))) | ~$less(X18,sK205) | $less(X18,0)) & type_pointer(type_global) = X19) & ~$less(2800,sK205) & ~$less(sK205,0))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f599,plain,(
% 4.13/1.16 ? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(X7,X11) & ~$less(X11,1)) & X7 = X10) & 0 != X9 & $product(X7,2) = X9) & 0 = X8) & 0 = '%'(X7,14) & ~$less(2800,X7) & ~$less(X7,0)) => (? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = X10) & 0 != X9 & $product(sK207,2) = X9) & 0 = X8) & 0 = '%'(sK207,14) & ~$less(2800,sK207) & ~$less(sK207,0))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f600,plain,(
% 4.13/1.16 ? [X8 : $int] : (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = X10) & 0 != X9 & $product(sK207,2) = X9) & 0 = X8) => (? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = X10) & 0 != X9 & $product(sK207,2) = X9) & 0 = sK208)),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f601,plain,(
% 4.13/1.16 ? [X9 : $int] : (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = X10) & 0 != X9 & $product(sK207,2) = X9) => (? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = X10) & 0 != sK209 & $product(sK207,2) = sK209)),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f602,plain,(
% 4.13/1.16 ? [X10 : $int] : (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = X10) => (? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) & sK207 = sK210)),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f603,plain,(
% 4.13/1.16 ? [X14 : c_unique,X13 : $int,X12 : $int,X11 : $int] : (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(X11,X16,X14,sK201,X13,sK204,sK200,X17,X12) & acc(c_sort(type_memory(c_int,type_global),X14),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),X11) = X15) | type_pointer(type_global) != X16) & 0 != 1 & $product(X11,2) = X13 & ~$less(sK207,X11) & ~$less(X11,1)) => (? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,X17,sK212) & acc(c_sort(type_memory(c_int,type_global),sK214),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),sK211) = X15) | type_pointer(type_global) != X16) & 0 != 1 & sK213 = $product(sK211,2) & ~$less(sK207,sK211) & ~$less(sK211,1))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f604,plain,(
% 4.13/1.16 ? [X15 : c_unique] : ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,X17,sK212) & acc(c_sort(type_memory(c_int,type_global),sK214),c_sort(X16,X15)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,X15)) & shift(c_sort(X16,sK204),sK211) = X15) | type_pointer(type_global) != X16) => ! [X16 : c_type] : ((? [X17 : c_unique] : (sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,X17,sK212) & acc(c_sort(type_memory(c_int,type_global),sK214),c_sort(X16,sK215)) = X17) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,sK215)) & shift(c_sort(X16,sK204),sK211) = sK215) | type_pointer(type_global) != X16)),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f605,plain,(
% 4.13/1.16 ! [X16 : c_type] : (? [X17 : c_unique] : (sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,X17,sK212) & acc(c_sort(type_memory(c_int,type_global),sK214),c_sort(X16,sK215)) = X17) => (sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,sK216(X16),sK212) & acc(c_sort(type_memory(c_int,type_global),sK214),c_sort(X16,sK215)) = sK216(X16)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f606,plain,(
% 4.13/1.16 ! [X18 : $int] : (? [X19 : c_type] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),sK206),c_sort(X19,shift(c_sort(X19,sK204),X18))))) | ~$less(X18,sK205) | $less(X18,0)) & type_pointer(type_global) = X19) => ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),sK206),c_sort(sK217(X18),shift(c_sort(sK217(X18),sK204),X18))))) | ~$less(X18,sK205) | $less(X18,0)) & type_pointer(type_global) = sK217(X18)))),
% 4.13/1.16 introduced(choice_axiom,[])).
% 4.13/1.16
% 4.13/1.16 tff(f607,plain,(
% 4.13/1.16 ((((((! [X16 : c_type] : (((sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,sK216(X16),sK212) & acc(c_sort(type_memory(c_int,type_global),sK214),c_sort(X16,sK215)) = sK216(X16)) & valid(c_sort(type_alloc_table,sK201),c_sort(X16,sK215)) & shift(c_sort(X16,sK204),sK211) = sK215) | type_pointer(type_global) != X16) & 0 != 1 & sK213 = $product(sK211,2) & ~$less(sK207,sK211) & ~$less(sK211,1)) & sK207 = sK210) & 0 != sK209 & $product(sK207,2) = sK209) & 0 = sK208) & 0 = '%'(sK207,14) & ~$less(2800,sK207) & ~$less(sK207,0)) & 0 = $sum(sK205,$uminus(sK203)) & ! [X18 : $int] : ((2000 = ss2Int(c_sort(c_int,acc(c_sort(type_memory(c_int,type_global),sK206),c_sort(sK217(X18),shift(c_sort(sK217(X18),sK204),X18))))) | ~$less(X18,sK205) | $less(X18,0)) & type_pointer(type_global) = sK217(X18)) & ~$less(2800,sK205) & ~$less(sK205,0)) & valid_range(c_sort(type_alloc_table,sK201),c_sort(type_pointer(type_global),sK204),0,2800) & 10000 = sK200 & 2800 = sK203 & 0 = sK202),
% 4.13/1.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK200,sK201,sK202,sK203,sK204,sK205,sK206,sK207,sK208,sK209,sK210,sK211,sK212,sK213,sK214,sK215,sK216,sK217])],[f596,f606,f605,f604,f603,f602,f601,f600,f599,f598,f597])).
% 4.13/1.16
% 4.13/1.16 tff(f921,plain,(
% 4.13/1.16 ( ! [X2 : c_unique,X3 : c_unique,X0 : $int,X1 : c_type,X8 : $int,X6 : $int,X7 : c_unique,X4 : $int,X5 : c_unique] : ($sum(X8,$product(ss2Int(c_sort(c_int,X7)),X6)) = sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8)) )),
% 4.13/1.16 inference(cnf_transformation,[],[f587])).
% 4.13/1.16
% 4.13/1.16 tff(f923,plain,(
% 4.13/1.16 ( ! [X2 : c_unique,X3 : c_unique,X0 : $int,X1 : c_type,X8 : $int,X6 : $int,X7 : c_unique,X4 : $int,X5 : c_unique] : ($sum(X4,$uminus(1)) = sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8)) )),
% 4.13/1.16 inference(cnf_transformation,[],[f587])).
% 4.13/1.16
% 4.13/1.16 tff(f928,plain,(
% 4.13/1.16 ( ! [X2 : c_unique,X3 : c_unique,X0 : $int,X1 : c_type,X8 : $int,X6 : $int,X7 : c_unique,X4 : $int,X5 : c_unique] : (sP1(X0,sK192(X0,X1,X2,X3,X4,X5,X6,X7,X8),sK190(X0,X1,X2,X3,X4,X5,X6,X7,X8)) | ~sP2(X0,X1,X2,X3,X4,X5,X6,X7,X8)) )),
% 4.13/1.16 inference(cnf_transformation,[],[f587])).
% 4.13/1.16
% 4.13/1.16 tff(f929,plain,(
% 4.13/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X1,$uminus(1)) = sK195(X0,X1,X2) | ~sP1(X0,X1,X2)) )),
% 4.13/1.16 inference(cnf_transformation,[],[f595])).
% 4.13/1.16
% 4.13/1.16 tff(f933,plain,(
% 4.13/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$uminus(1)) = sK198(X0,X1,X2) | ~sP1(X0,X1,X2)) )),
% 4.13/1.16 inference(cnf_transformation,[],[f595])).
% 4.13/1.16
% 4.13/1.16 tff(f936,plain,(
% 4.13/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK195(X0,X1,X2) != $product(sK198(X0,X1,X2),2) | ~sP1(X0,X1,X2)) )),
% 4.13/1.16 inference(cnf_transformation,[],[f595])).
% 4.13/1.16
% 4.13/1.16 tff(f939,plain,(
% 4.13/1.16 10000 = sK200),
% 4.13/1.16 inference(cnf_transformation,[],[f607])).
% 4.13/1.16
% 4.13/1.16 tff(f955,plain,(
% 4.13/1.16 sK213 = $product(sK211,2)),
% 4.13/1.16 inference(cnf_transformation,[],[f607])).
% 4.13/1.16
% 4.13/1.16 tff(f960,plain,(
% 4.13/1.16 ( ! [X16 : c_type] : (sP2(sK211,X16,sK214,sK201,sK213,sK204,sK200,sK216(X16),sK212) | type_pointer(type_global) != X16) )),
% 4.13/1.16 inference(cnf_transformation,[],[f607])).
% 4.13/1.16
% 4.13/1.16 tff(f1124,plain,(
% 4.13/1.16 ( ! [X16 : c_type] : (sP2(sK211,X16,sK214,sK201,sK213,sK204,10000,sK216(X16),sK212) | type_pointer(type_global) != X16) )),
% 4.13/1.16 inference(definition_unfolding,[],[f960,f939])).
% 4.13/1.16
% 4.13/1.16 tff(f1218,plain,(
% 4.13/1.16 sP2(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212)),
% 4.13/1.16 inference(equality_resolution,[],[f1124])).
% 4.13/1.16
% 4.13/1.16 cnf(c_54,plain,
% 4.13/1.16 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 4.13/1.16 inference(cnf_transformation,[],[f147])).
% 4.13/1.16
% 4.13/1.16 cnf(c_55,plain,
% 4.13/1.16 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 4.13/1.16 inference(cnf_transformation,[],[f146])).
% 4.13/1.16
% 4.13/1.16 cnf(c_65,plain,
% 4.13/1.16 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 4.13/1.16 inference(cnf_transformation,[],[f136])).
% 4.13/1.16
% 4.13/1.16 cnf(c_66,plain,
% 4.13/1.16 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 4.13/1.16 inference(cnf_transformation,[],[f135])).
% 4.13/1.16
% 4.13/1.16 cnf(c_256,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sP1(X0_3,sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3),sK190(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3))),
% 4.13/1.16 inference(cnf_transformation,[],[f928])).
% 4.13/1.16
% 4.13/1.16 cnf(c_261,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(X1_3,$uminus_int(1))),
% 4.13/1.16 inference(cnf_transformation,[],[f923])).
% 4.13/1.16
% 4.13/1.16 cnf(c_263,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sK190(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(X3_3,$product_int(ss2Int(c_sort(c_int,X3_16)),X2_3))),
% 4.13/1.16 inference(cnf_transformation,[],[f921])).
% 4.13/1.16
% 4.13/1.16 cnf(c_264,plain,
% 4.13/1.16 ($product_int(sK198(X0_3,X1_3,X2_3),2) != sK195(X0_3,X1_3,X2_3)|~sP1(X0_3,X1_3,X2_3)),
% 4.13/1.16 inference(cnf_transformation,[],[f936])).
% 4.13/1.16
% 4.13/1.16 cnf(c_267,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|sK198(X0_3,X1_3,X2_3) = $sum_int(X0_3,$uminus_int(1))),
% 4.13/1.16 inference(cnf_transformation,[],[f933])).
% 4.13/1.16
% 4.13/1.16 cnf(c_271,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|sK195(X0_3,X1_3,X2_3) = $sum_int(X1_3,$uminus_int(1))),
% 4.13/1.16 inference(cnf_transformation,[],[f929])).
% 4.13/1.16
% 4.13/1.16 cnf(c_272,plain,
% 4.13/1.16 (sP2(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212)),
% 4.13/1.16 inference(cnf_transformation,[],[f1218])).
% 4.13/1.16
% 4.13/1.16 cnf(c_277,plain,
% 4.13/1.16 ($product_int(sK211,2) = sK213),
% 4.13/1.16 inference(cnf_transformation,[],[f955])).
% 4.13/1.16
% 4.13/1.16 cnf(c_489,plain,
% 4.13/1.16 ($product_int(2,sK198(X0_3,X1_3,X2_3)) != sK195(X0_3,X1_3,X2_3)|~sP1(X0_3,X1_3,X2_3)),
% 4.13/1.16 inference(theory_normalisation,[status(thm)],[c_264,c_54,c_55,c_65,c_66])).
% 4.13/1.16
% 4.13/1.16 cnf(c_771,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sP1(X0_3,sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3),sK190(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3))),
% 4.13/1.16 inference(prop_impl_just,[status(thm)],[c_256])).
% 4.13/1.16
% 4.13/1.16 cnf(c_781,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(X1_3,$uminus_int(1))),
% 4.13/1.16 inference(prop_impl_just,[status(thm)],[c_261])).
% 4.13/1.16
% 4.13/1.16 cnf(c_785,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sK190(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(X3_3,$product_int(ss2Int(c_sort(c_int,X3_16)),X2_3))),
% 4.13/1.16 inference(prop_impl_just,[status(thm)],[c_263])).
% 4.13/1.16
% 4.13/1.16 cnf(c_791,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|sK198(X0_3,X1_3,X2_3) = $sum_int(X0_3,$uminus_int(1))),
% 4.13/1.16 inference(prop_impl_just,[status(thm)],[c_267])).
% 4.13/1.16
% 4.13/1.16 cnf(c_797,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|sK195(X0_3,X1_3,X2_3) = $sum_int(X1_3,$uminus_int(1))),
% 4.13/1.16 inference(prop_impl_just,[status(thm)],[c_271])).
% 4.13/1.16
% 4.13/1.16 cnf(c_799,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|$product_int(2,sK198(X0_3,X1_3,X2_3)) != sK195(X0_3,X1_3,X2_3)),
% 4.13/1.16 inference(prop_impl_just,[status(thm)],[c_489])).
% 4.13/1.16
% 4.13/1.16 cnf(c_800,plain,
% 4.13/1.16 ($product_int(2,sK198(X0_3,X1_3,X2_3)) != sK195(X0_3,X1_3,X2_3)|~sP1(X0_3,X1_3,X2_3)),
% 4.13/1.16 inference(renaming,[status(thm)],[c_799])).
% 4.13/1.16
% 4.13/1.16 cnf(c_2504,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|sK195(X0_3,X1_3,X2_3) = $sum_int(-1,X1_3)),
% 4.13/1.16 inference(smt_theory_normalisation,[status(thm)],[c_797])).
% 4.13/1.16
% 4.13/1.16 cnf(c_2513,plain,
% 4.13/1.16 (~sP1(X0_3,X1_3,X2_3)|sK198(X0_3,X1_3,X2_3) = $sum_int(-1,X0_3)),
% 4.13/1.16 inference(smt_theory_normalisation,[status(thm)],[c_791])).
% 4.13/1.16
% 4.13/1.16 cnf(c_2737,plain,
% 4.13/1.16 (~sP2(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3)|sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(-1,X1_3)),
% 4.13/1.16 inference(smt_theory_normalisation,[status(thm)],[c_781])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3505,plain,
% 4.13/1.16 (sK216(type_pointer(type_global)) != X3_16|type_pointer(type_global) != X0_15|
% 4.13/1.16 X0_3 != sK211|X0_16 != sK214|X1_3 != sK213|X1_16 != sK201|X2_3 != 10000|
% 4.13/1.16 X2_16 != sK204|X3_3 != sK212|sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(-1,X1_3)),
% 4.13/1.16 inference(resolution_lifted,[status(thm)],[c_2737,c_272])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3506,plain,
% 4.13/1.16 (sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) = $sum_int(-1,sK213)),
% 4.13/1.16 inference(unflattening,[status(thm)],[c_3505])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3510,plain,
% 4.13/1.16 (sK216(type_pointer(type_global)) != X3_16|type_pointer(type_global) != X0_15|
% 4.13/1.16 X0_3 != sK211|X0_16 != sK214|X1_3 != sK213|X1_16 != sK201|X2_3 != 10000|
% 4.13/1.16 X2_16 != sK204|X3_3 != sK212|sK190(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3) = $sum_int(X3_3,$product_int(ss2Int(c_sort(c_int,X3_16)),X2_3))),
% 4.13/1.16 inference(resolution_lifted,[status(thm)],[c_785,c_272])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3511,plain,
% 4.13/1.16 (sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) = $sum_int(sK212,$product_int(ss2Int(c_sort(c_int,sK216(type_pointer(type_global)))),10000))),
% 4.13/1.16 inference(unflattening,[status(thm)],[c_3510])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3540,plain,
% 4.13/1.16 (sK216(type_pointer(type_global)) != X3_16|type_pointer(type_global) != X0_15|
% 4.13/1.16 X0_3 != sK211|X0_16 != sK214|X1_3 != sK213|X1_16 != sK201|X2_3 != 10000|
% 4.13/1.16 X2_16 != sK204|X3_3 != sK212|sP1(X0_3,sK192(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3),sK190(X0_3,X0_15,X0_16,X1_16,X1_3,X2_16,X2_3,X3_16,X3_3))),
% 4.13/1.16 inference(resolution_lifted,[status(thm)],[c_771,c_272])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3541,plain,
% 4.13/1.16 (sP1(sK211,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212),sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212))),
% 4.13/1.16 inference(unflattening,[status(thm)],[c_3540])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3553,plain,
% 4.13/1.16 (sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) != X2_3|
% 4.13/1.16 sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) != X1_3|
% 4.13/1.16 X0_3 != sK211|sK198(X0_3,X1_3,X2_3) = $sum_int(-1,X0_3)),
% 4.13/1.16 inference(resolution_lifted,[status(thm)],[c_2513,c_3541])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3554,plain,
% 4.13/1.16 (sK198(sK211,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212),sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212)) = $sum_int(-1,sK211)),
% 4.13/1.16 inference(unflattening,[status(thm)],[c_3553])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3558,plain,
% 4.13/1.16 (sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) != X2_3|
% 4.13/1.16 sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) != X1_3|
% 4.13/1.16 X0_3 != sK211|sK195(X0_3,X1_3,X2_3) = $sum_int(-1,X1_3)),
% 4.13/1.16 inference(resolution_lifted,[status(thm)],[c_2504,c_3541])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3559,plain,
% 4.13/1.16 (sK195(sK211,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212),sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212)) = $sum_int(-1,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212))),
% 4.13/1.16 inference(unflattening,[status(thm)],[c_3558])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3568,plain,
% 4.13/1.16 (sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) != X2_3|
% 4.13/1.16 sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) != X1_3|
% 4.13/1.16 $product_int(2,sK198(X0_3,X1_3,X2_3)) != sK195(X0_3,X1_3,X2_3)|X0_3 != sK211),
% 4.13/1.16 inference(resolution_lifted,[status(thm)],[c_800,c_3541])).
% 4.13/1.16
% 4.13/1.16 cnf(c_3569,plain,
% 4.13/1.16 ($product_int(2,sK198(sK211,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212),sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212))) != sK195(sK211,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212),sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212))),
% 4.13/1.16 inference(unflattening,[status(thm)],[c_3568])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5534,plain,
% 4.13/1.16 (sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) = $sum_int(sK213,-1)),
% 4.13/1.16 inference(theory_normalisation,
% 4.13/1.16 [status(thm)],
% 4.13/1.16 [c_3506,c_54,c_55,c_65,c_66])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5535,plain,
% 4.13/1.16 (sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212) = $sum_int(sK212,$product_int(10000,ss2Int(c_sort(c_int,sK216(type_pointer(type_global))))))),
% 4.13/1.16 inference(theory_normalisation,
% 4.13/1.16 [status(thm)],
% 4.13/1.16 [c_3511,c_54,c_55,c_65,c_66])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5536,plain,
% 4.13/1.16 (sK198(sK211,sK192(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212),sK190(sK211,type_pointer(type_global),sK214,sK201,sK213,sK204,10000,sK216(type_pointer(type_global)),sK212)) = $sum_int(sK211,-1)),
% 4.13/1.16 inference(theory_normalisation,
% 4.13/1.16 [status(thm)],
% 4.13/1.16 [c_3554,c_54,c_55,c_65,c_66])).
% 4.13/1.16
% 4.13/1.16 cnf(c_7783,plain,
% 4.13/1.16 (sK198(sK211,$sum_int(sK213,-1),$sum_int(sK212,$product_int(10000,ss2Int(c_sort(c_int,sK216(type_pointer(type_global))))))) = $sum_int(sK211,-1)),
% 4.13/1.16 inference(light_normalisation,[status(thm)],[c_5536,c_5534,c_5535])).
% 4.13/1.16
% 4.13/1.16 cnf(c_7961,plain,
% 4.13/1.16 (sK195(sK211,$sum_int(sK213,-1),$sum_int(sK212,$product_int(10000,ss2Int(c_sort(c_int,sK216(type_pointer(type_global))))))) = $sum_int(-1,$sum_int(sK213,-1))),
% 4.13/1.16 inference(light_normalisation,[status(thm)],[c_3559,c_5534,c_5535])).
% 4.13/1.16
% 4.13/1.16 cnf(c_7962,plain,
% 4.13/1.16 (sK195(sK211,$sum_int(sK213,-1),$sum_int(sK212,$product_int(10000,ss2Int(c_sort(c_int,sK216(type_pointer(type_global))))))) = $sum_int(sK213,$sum_int(-1,-1))),
% 4.13/1.16 inference(theory_normalisation,
% 4.13/1.16 [status(thm)],
% 4.13/1.16 [c_7961,c_65,c_66,c_54,c_55])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8018,plain,
% 4.13/1.16 ($sum_int(sK213,$sum_int(-1,-1)) != $product_int(2,$sum_int(sK211,-1))),
% 4.13/1.16 inference(light_normalisation,
% 4.13/1.16 [status(thm)],
% 4.13/1.16 [c_3569,c_5534,c_5535,c_7783,c_7962])).
% 4.13/1.16
% 4.13/1.16 cnf(c_12077,plain,
% 4.13/1.16 ($product_int(2,sK211) != sK213),
% 4.13/1.16 inference(smt_theory_normalisation,[status(thm)],[c_8018])).
% 4.13/1.16
% 4.13/1.16 cnf(c_12078,plain,
% 4.13/1.16 ($false),
% 4.13/1.16 inference(ac_demodulation,
% 4.13/1.16 [status(thm)],
% 4.13/1.16 [c_12077,c_277,c_65,c_66,c_54,c_55])).
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 4.13/1.16
% 4.13/1.16
%------------------------------------------------------------------------------