TSTP Solution File: DAT051_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT051_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Wed Aug 30 22:15:29 EDT 2023
% Result : Theorem 3.05s 1.17s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT051_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n029.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 : Thu Aug 24 14:57:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.05/1.17 % SZS status Started for theBenchmark.p
% 3.05/1.17 % SZS status Theorem for theBenchmark.p
% 3.05/1.17
% 3.05/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.05/1.17
% 3.05/1.17 ------ iProver source info
% 3.05/1.17
% 3.05/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.05/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.05/1.17 git: non_committed_changes: false
% 3.05/1.17 git: last_make_outside_of_git: false
% 3.05/1.17
% 3.05/1.17 ------ Parsing...
% 3.05/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.05/1.17
% 3.05/1.17 ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.05/1.17
% 3.05/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.05/1.17
% 3.05/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.05/1.17 ------ Proving...
% 3.05/1.17 ------ Problem Properties
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 clauses 38
% 3.05/1.17 conjectures 21
% 3.05/1.17 EPR 6
% 3.05/1.17 Horn 33
% 3.05/1.17 unary 19
% 3.05/1.17 binary 11
% 3.05/1.17 lits 65
% 3.05/1.17 lits eq 26
% 3.05/1.17 fd_pure 0
% 3.05/1.17 fd_pseudo 0
% 3.05/1.17 fd_cond 0
% 3.05/1.17 fd_pseudo_cond 2
% 3.05/1.17 AC symbols 2
% 3.05/1.17
% 3.05/1.17 ------ Input Options Time Limit: Unbounded
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 ------
% 3.05/1.17 Current options:
% 3.05/1.17 ------
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 ------ Proving...
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 % SZS status Theorem for theBenchmark.p
% 3.05/1.17
% 3.05/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 3.05/1.17
% 3.05/1.17 tff(f3,axiom,(
% 3.05/1.17 ! [X0 : record] : (isrecord(X0) => length(X0) = $sum(length(next(X0)),1))),
% 3.05/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 3.05/1.17
% 3.05/1.17 tff(f11,axiom,(
% 3.05/1.17 ! [X0 : record] : ((isrecord(next(X0)) & isrecord(X0)) => isrecord(split2(X0)))),
% 3.05/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11)).
% 3.05/1.17
% 3.05/1.17 tff(f13,axiom,(
% 3.05/1.17 ! [X0 : record] : ((isrecord(next(X0)) & isrecord(X0)) => next(split2(X0)) = split2(next(next(X0))))),
% 3.05/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13)).
% 3.05/1.17
% 3.05/1.17 tff(f14,conjecture,(
% 3.05/1.17 ! [X0 : record,X1 : record] : ((($product(2,length(split2(X1))) = length(X1) | $product(2,length(split2(X1))) = $difference(length(X1),1)) & next(next(X0)) = X1 & isrecord(next(X0)) & isrecord(X0)) => (length(X0) = $product(2,length(split2(X0))) | $product(2,length(split2(X0))) = $difference(length(X0),1)))),
% 3.05/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 3.05/1.17
% 3.05/1.17 tff(f15,negated_conjecture,(
% 3.05/1.17 ~! [X0 : record,X1 : record] : ((($product(2,length(split2(X1))) = length(X1) | $product(2,length(split2(X1))) = $difference(length(X1),1)) & next(next(X0)) = X1 & isrecord(next(X0)) & isrecord(X0)) => (length(X0) = $product(2,length(split2(X0))) | $product(2,length(split2(X0))) = $difference(length(X0),1)))),
% 3.05/1.17 inference(negated_conjecture,[],[f14])).
% 3.05/1.17
% 3.05/1.17 tff(f17,plain,(
% 3.05/1.17 ~! [X0 : record,X1 : record] : ((($product(2,length(split2(X1))) = length(X1) | $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1))) & next(next(X0)) = X1 & isrecord(next(X0)) & isrecord(X0)) => (length(X0) = $product(2,length(split2(X0))) | $product(2,length(split2(X0))) = $sum(length(X0),$uminus(1))))),
% 3.05/1.17 inference(theory_normalization,[],[f15])).
% 3.05/1.17
% 3.05/1.17 tff(f18,plain,(
% 3.05/1.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.05/1.17 introduced(theory_axiom_138,[])).
% 3.05/1.17
% 3.05/1.17 tff(f19,plain,(
% 3.05/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.05/1.17 introduced(theory_axiom_139,[])).
% 3.05/1.17
% 3.05/1.17 tff(f21,plain,(
% 3.05/1.17 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 3.05/1.17 introduced(theory_axiom_142,[])).
% 3.05/1.17
% 3.05/1.17 tff(f29,plain,(
% 3.05/1.17 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.05/1.17 introduced(theory_axiom_138,[])).
% 3.05/1.17
% 3.05/1.17 tff(f30,plain,(
% 3.05/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.05/1.17 introduced(theory_axiom_139,[])).
% 3.05/1.17
% 3.05/1.17 tff(f38,plain,(
% 3.05/1.17 ! [X0 : record] : (length(X0) = $sum(length(next(X0)),1) | ~isrecord(X0))),
% 3.05/1.17 inference(ennf_transformation,[],[f3])).
% 3.05/1.17
% 3.05/1.17 tff(f48,plain,(
% 3.05/1.17 ! [X0 : record] : (isrecord(split2(X0)) | (~isrecord(next(X0)) | ~isrecord(X0)))),
% 3.05/1.17 inference(ennf_transformation,[],[f11])).
% 3.05/1.17
% 3.05/1.17 tff(f49,plain,(
% 3.05/1.17 ! [X0 : record] : (isrecord(split2(X0)) | ~isrecord(next(X0)) | ~isrecord(X0))),
% 3.05/1.17 inference(flattening,[],[f48])).
% 3.05/1.17
% 3.05/1.17 tff(f52,plain,(
% 3.05/1.17 ! [X0 : record] : (next(split2(X0)) = split2(next(next(X0))) | (~isrecord(next(X0)) | ~isrecord(X0)))),
% 3.05/1.17 inference(ennf_transformation,[],[f13])).
% 3.05/1.17
% 3.05/1.17 tff(f53,plain,(
% 3.05/1.17 ! [X0 : record] : (next(split2(X0)) = split2(next(next(X0))) | ~isrecord(next(X0)) | ~isrecord(X0))),
% 3.05/1.17 inference(flattening,[],[f52])).
% 3.05/1.17
% 3.05/1.17 tff(f54,plain,(
% 3.05/1.17 ? [X0 : record,X1 : record] : ((length(X0) != $product(2,length(split2(X0))) & $product(2,length(split2(X0))) != $sum(length(X0),$uminus(1))) & (($product(2,length(split2(X1))) = length(X1) | $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1))) & next(next(X0)) = X1 & isrecord(next(X0)) & isrecord(X0)))),
% 3.05/1.17 inference(ennf_transformation,[],[f17])).
% 3.05/1.17
% 3.05/1.17 tff(f55,plain,(
% 3.05/1.17 ? [X0 : record,X1 : record] : (length(X0) != $product(2,length(split2(X0))) & $product(2,length(split2(X0))) != $sum(length(X0),$uminus(1)) & ($product(2,length(split2(X1))) = length(X1) | $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1))) & next(next(X0)) = X1 & isrecord(next(X0)) & isrecord(X0))),
% 3.05/1.17 inference(flattening,[],[f54])).
% 3.05/1.17
% 3.05/1.17 tff(f56,plain,(
% 3.05/1.17 ? [X0 : record,X1 : record] : (length(X0) != $product(2,length(split2(X0))) & $product(2,length(split2(X0))) != $sum(length(X0),$uminus(1)) & ($product(2,length(split2(X1))) = length(X1) | $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1))) & next(next(X0)) = X1 & isrecord(next(X0)) & isrecord(X0)) => (length(sK0) != $product(2,length(split2(sK0))) & $product(2,length(split2(sK0))) != $sum(length(sK0),$uminus(1)) & ($product(2,length(split2(sK1))) = length(sK1) | $product(2,length(split2(sK1))) = $sum(length(sK1),$uminus(1))) & sK1 = next(next(sK0)) & isrecord(next(sK0)) & isrecord(sK0))),
% 3.05/1.17 introduced(choice_axiom,[])).
% 3.05/1.17
% 3.05/1.17 tff(f57,plain,(
% 3.05/1.17 length(sK0) != $product(2,length(split2(sK0))) & $product(2,length(split2(sK0))) != $sum(length(sK0),$uminus(1)) & ($product(2,length(split2(sK1))) = length(sK1) | $product(2,length(split2(sK1))) = $sum(length(sK1),$uminus(1))) & sK1 = next(next(sK0)) & isrecord(next(sK0)) & isrecord(sK0)),
% 3.05/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f55,f56])).
% 3.05/1.17
% 3.05/1.17 tff(f60,plain,(
% 3.05/1.17 ( ! [X0 : record] : (length(X0) = $sum(length(next(X0)),1) | ~isrecord(X0)) )),
% 3.05/1.17 inference(cnf_transformation,[],[f38])).
% 3.05/1.17
% 3.05/1.17 tff(f68,plain,(
% 3.05/1.17 ( ! [X0 : record] : (isrecord(split2(X0)) | ~isrecord(next(X0)) | ~isrecord(X0)) )),
% 3.05/1.17 inference(cnf_transformation,[],[f49])).
% 3.05/1.17
% 3.05/1.17 tff(f70,plain,(
% 3.05/1.17 ( ! [X0 : record] : (next(split2(X0)) = split2(next(next(X0))) | ~isrecord(next(X0)) | ~isrecord(X0)) )),
% 3.05/1.17 inference(cnf_transformation,[],[f53])).
% 3.05/1.17
% 3.05/1.17 tff(f71,plain,(
% 3.05/1.17 isrecord(sK0)),
% 3.05/1.17 inference(cnf_transformation,[],[f57])).
% 3.05/1.17
% 3.05/1.17 tff(f72,plain,(
% 3.05/1.17 isrecord(next(sK0))),
% 3.05/1.17 inference(cnf_transformation,[],[f57])).
% 3.05/1.17
% 3.05/1.17 tff(f73,plain,(
% 3.05/1.17 sK1 = next(next(sK0))),
% 3.05/1.17 inference(cnf_transformation,[],[f57])).
% 3.05/1.17
% 3.05/1.17 tff(f74,plain,(
% 3.05/1.17 $product(2,length(split2(sK1))) = length(sK1) | $product(2,length(split2(sK1))) = $sum(length(sK1),$uminus(1))),
% 3.05/1.17 inference(cnf_transformation,[],[f57])).
% 3.05/1.17
% 3.05/1.17 tff(f75,plain,(
% 3.05/1.17 $product(2,length(split2(sK0))) != $sum(length(sK0),$uminus(1))),
% 3.05/1.17 inference(cnf_transformation,[],[f57])).
% 3.05/1.17
% 3.05/1.17 tff(f76,plain,(
% 3.05/1.17 length(sK0) != $product(2,length(split2(sK0)))),
% 3.05/1.17 inference(cnf_transformation,[],[f57])).
% 3.05/1.17
% 3.05/1.17 cnf(c_54,negated_conjecture,
% 3.05/1.17 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.05/1.17 inference(cnf_transformation,[],[f30])).
% 3.05/1.17
% 3.05/1.17 cnf(c_55,negated_conjecture,
% 3.05/1.17 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.05/1.17 inference(cnf_transformation,[],[f29])).
% 3.05/1.17
% 3.05/1.17 cnf(c_63,negated_conjecture,
% 3.05/1.17 ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 3.05/1.17 inference(cnf_transformation,[],[f21])).
% 3.05/1.17
% 3.05/1.17 cnf(c_65,negated_conjecture,
% 3.05/1.17 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.05/1.17 inference(cnf_transformation,[],[f19])).
% 3.05/1.17
% 3.05/1.17 cnf(c_66,negated_conjecture,
% 3.05/1.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.05/1.17 inference(cnf_transformation,[],[f18])).
% 3.05/1.17
% 3.05/1.17 cnf(c_69,plain,
% 3.05/1.17 (~isrecord(X0_13)|$sum_int(length(next(X0_13)),1) = length(X0_13)),
% 3.05/1.17 inference(cnf_transformation,[],[f60])).
% 3.05/1.17
% 3.05/1.17 cnf(c_77,plain,
% 3.05/1.17 (~isrecord(next(X0_13))|~isrecord(X0_13)|isrecord(split2(X0_13))),
% 3.05/1.17 inference(cnf_transformation,[],[f68])).
% 3.05/1.17
% 3.05/1.17 cnf(c_79,plain,
% 3.05/1.17 (~isrecord(next(X0_13))|~isrecord(X0_13)|split2(next(next(X0_13))) = next(split2(X0_13))),
% 3.05/1.17 inference(cnf_transformation,[],[f70])).
% 3.05/1.17
% 3.05/1.17 cnf(c_80,negated_conjecture,
% 3.05/1.17 ($product_int(2,length(split2(sK0))) != length(sK0)),
% 3.05/1.17 inference(cnf_transformation,[],[f76])).
% 3.05/1.17
% 3.05/1.17 cnf(c_81,negated_conjecture,
% 3.05/1.17 ($sum_int(length(sK0),$uminus_int(1)) != $product_int(2,length(split2(sK0)))),
% 3.05/1.17 inference(cnf_transformation,[],[f75])).
% 3.05/1.17
% 3.05/1.17 cnf(c_82,negated_conjecture,
% 3.05/1.17 ($sum_int(length(sK1),$uminus_int(1)) = $product_int(2,length(split2(sK1)))|
% 3.05/1.17 $product_int(2,length(split2(sK1))) = length(sK1)),
% 3.05/1.17 inference(cnf_transformation,[],[f74])).
% 3.05/1.17
% 3.05/1.17 cnf(c_83,negated_conjecture,
% 3.05/1.17 (next(next(sK0)) = sK1),
% 3.05/1.17 inference(cnf_transformation,[],[f73])).
% 3.05/1.17
% 3.05/1.17 cnf(c_84,negated_conjecture,
% 3.05/1.17 (isrecord(next(sK0))),
% 3.05/1.17 inference(cnf_transformation,[],[f72])).
% 3.05/1.17
% 3.05/1.17 cnf(c_85,negated_conjecture,
% 3.05/1.17 (isrecord(sK0)),
% 3.05/1.17 inference(cnf_transformation,[],[f71])).
% 3.05/1.17
% 3.05/1.17 cnf(c_111,negated_conjecture,
% 3.05/1.17 ($product_int(length(split2(sK0)),2) != length(sK0)),
% 3.05/1.17 inference(theory_normalisation,[status(thm)],[c_80,c_54,c_55,c_65,c_66])).
% 3.05/1.17
% 3.05/1.17 cnf(c_112,negated_conjecture,
% 3.05/1.17 ($sum_int(length(sK0),$uminus_int(1)) != $product_int(length(split2(sK0)),2)),
% 3.05/1.17 inference(theory_normalisation,[status(thm)],[c_81,c_54,c_55,c_65,c_66])).
% 3.05/1.17
% 3.05/1.17 cnf(c_113,negated_conjecture,
% 3.05/1.17 ($sum_int($uminus_int(1),length(sK1)) = $product_int(length(split2(sK1)),2)|
% 3.05/1.17 $product_int(length(split2(sK1)),2) = length(sK1)),
% 3.05/1.17 inference(theory_normalisation,[status(thm)],[c_82,c_54,c_55,c_65,c_66])).
% 3.05/1.17
% 3.05/1.17 cnf(c_150,plain,
% 3.05/1.17 ($sum_int($uminus_int(1),length(sK1)) = $product_int(length(split2(sK1)),2)|
% 3.05/1.17 $product_int(length(split2(sK1)),2) = length(sK1)),
% 3.05/1.17 inference(prop_impl_just,[status(thm)],[c_113])).
% 3.05/1.17
% 3.05/1.17 cnf(c_405,plain,
% 3.05/1.17 ($sum_int(1,$product_int(2,length(split2(sK0)))) != length(sK0)),
% 3.05/1.17 inference(smt_theory_normalisation,[status(thm)],[c_112])).
% 3.05/1.17
% 3.05/1.17 cnf(c_406,plain,
% 3.05/1.17 ($sum_int(1,$product_int(length(split2(sK0)),2)) != length(sK0)),
% 3.05/1.17 inference(theory_normalisation,[status(thm)],[c_405,c_65,c_66,c_54,c_55])).
% 3.05/1.17
% 3.05/1.17 cnf(c_431,plain,
% 3.05/1.17 ($sum_int(1,$product_int(2,length(split2(sK1)))) = length(sK1)|$product_int(length(split2(sK1)),2) = length(sK1)),
% 3.05/1.17 inference(smt_theory_normalisation,[status(thm)],[c_150])).
% 3.05/1.17
% 3.05/1.17 cnf(c_432,plain,
% 3.05/1.17 ($sum_int(1,$product_int(length(split2(sK1)),2)) = length(sK1)|$product_int(length(split2(sK1)),2) = length(sK1)),
% 3.05/1.17 inference(theory_normalisation,[status(thm)],[c_431,c_65,c_66,c_54,c_55])).
% 3.05/1.17
% 3.05/1.17 cnf(c_433,plain,
% 3.05/1.17 ($sum_int(1,$product_int(length(split2(next(next(sK0)))),2)) = length(next(next(sK0)))|
% 3.05/1.17 $product_int(length(split2(next(next(sK0)))),2) = length(next(next(sK0)))),
% 3.05/1.17 inference(light_normalisation,[status(thm)],[c_432,c_83])).
% 3.05/1.17
% 3.05/1.17 cnf(c_485,plain,
% 3.05/1.17 ($sum_int(1,$product_int(length(split2(next(next(sK0)))),2)) = length(next(next(sK0)))|
% 3.05/1.17 $product_int(length(split2(next(next(sK0)))),2) = length(next(next(sK0)))),
% 3.05/1.17 inference(prop_impl_just,[status(thm)],[c_433])).
% 3.05/1.17
% 3.05/1.17 cnf(c_3079,plain,
% 3.05/1.17 ($sum_int(length(next(next(sK0))),1) = length(next(sK0))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_84,c_69])).
% 3.05/1.17
% 3.05/1.17 cnf(c_3080,plain,
% 3.05/1.17 ($sum_int(length(next(sK0)),1) = length(sK0)),
% 3.05/1.17 inference(superposition,[status(thm)],[c_85,c_69])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4051,plain,
% 3.05/1.17 (~isrecord(sK0)|isrecord(split2(sK0))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_84,c_77])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4052,plain,
% 3.05/1.17 (isrecord(split2(sK0))),
% 3.05/1.17 inference(forward_subsumption_resolution,[status(thm)],[c_4051,c_85])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4271,plain,
% 3.05/1.17 ($sum_int(length(next(split2(sK0))),1) = length(split2(sK0))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_4052,c_69])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4277,plain,
% 3.05/1.17 (~isrecord(sK0)|split2(next(next(sK0))) = next(split2(sK0))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_84,c_79])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4289,plain,
% 3.05/1.17 (split2(next(next(sK0))) = next(split2(sK0))),
% 3.05/1.17 inference(forward_subsumption_resolution,[status(thm)],[c_4277,c_85])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4470,plain,
% 3.05/1.17 ($sum_int($uminus_int(1),$uminus_int(length(next(sK0)))) = $uminus_int(length(sK0))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_3080,c_63])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4471,plain,
% 3.05/1.17 ($sum_int($uminus_int(1),$uminus_int(length(next(next(sK0))))) = $uminus_int(length(next(sK0)))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_3079,c_63])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4473,plain,
% 3.05/1.17 ($sum_int($uminus_int(1),$uminus_int(length(next(split2(sK0))))) = $uminus_int(length(split2(sK0)))),
% 3.05/1.17 inference(superposition,[status(thm)],[c_4271,c_63])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4479,plain,
% 3.05/1.17 ($sum_int($uminus_int(length(next(sK0))),$uminus_int(1)) = $uminus_int(length(sK0))),
% 3.05/1.17 inference(theory_normalisation,
% 3.05/1.17 [status(thm)],
% 3.05/1.17 [c_4470,c_65,c_66,c_54,c_55])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4480,plain,
% 3.05/1.17 ($sum_int($uminus_int(length(next(split2(sK0)))),$uminus_int(1)) = $uminus_int(length(split2(sK0)))),
% 3.05/1.17 inference(theory_normalisation,
% 3.05/1.17 [status(thm)],
% 3.05/1.17 [c_4473,c_65,c_66,c_54,c_55])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4481,plain,
% 3.05/1.17 ($sum_int($uminus_int(length(next(next(sK0)))),$uminus_int(1)) = $uminus_int(length(next(sK0)))),
% 3.05/1.17 inference(theory_normalisation,
% 3.05/1.17 [status(thm)],
% 3.05/1.17 [c_4471,c_65,c_66,c_54,c_55])).
% 3.05/1.17
% 3.05/1.17 cnf(c_4620,plain,
% 3.05/1.17 ($false),
% 3.05/1.17 inference(smt_impl_just,
% 3.05/1.17 [status(thm)],
% 3.05/1.17 [c_4481,c_4480,c_4479,c_4289,c_485,c_406,c_111])).
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 3.05/1.17
% 3.05/1.18
%------------------------------------------------------------------------------