TSTP Solution File: DAT048_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : DAT048_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 May 3 02:14:17 EDT 2024
% Result : Theorem 253.36s 32.75s
% Output : CNFRefutation 253.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT048_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:04:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 253.36/32.75 % SZS status Started for theBenchmark.p
% 253.36/32.75 % SZS status Theorem for theBenchmark.p
% 253.36/32.75
% 253.36/32.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 253.36/32.75
% 253.36/32.75 ------ iProver source info
% 253.36/32.75
% 253.36/32.75 git: date: 2024-05-02 19:28:25 +0000
% 253.36/32.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 253.36/32.75 git: non_committed_changes: false
% 253.36/32.75
% 253.36/32.75 ------ Parsing...
% 253.36/32.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 253.36/32.75
% 253.36/32.75 ------ 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
% 253.36/32.75
% 253.36/32.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 253.36/32.75
% 253.36/32.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 253.36/32.75 ------ Proving...
% 253.36/32.75 ------ Problem Properties
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75 clauses 35
% 253.36/32.75 conjectures 20
% 253.36/32.75 EPR 8
% 253.36/32.75 Horn 29
% 253.36/32.75 unary 17
% 253.36/32.75 binary 14
% 253.36/32.75 lits 57
% 253.36/32.75 lits eq 22
% 253.36/32.75 fd_pure 0
% 253.36/32.75 fd_pseudo 0
% 253.36/32.75 fd_cond 1
% 253.36/32.75 fd_pseudo_cond 3
% 253.36/32.75 AC symbols 1
% 253.36/32.75
% 253.36/32.75 ------ Input Options Time Limit: Unbounded
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75 ------
% 253.36/32.75 Current options:
% 253.36/32.75 ------
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75 ------ Proving...
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75 % SZS status Theorem for theBenchmark.p
% 253.36/32.75
% 253.36/32.75 % SZS output start CNFRefutation for theBenchmark.p
% 253.36/32.75
% 253.36/32.75 tff(f1,axiom,(
% 253.36/32.75 ! [X0 : $int] : ~in(X0,empty)),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 253.36/32.75
% 253.36/32.75 tff(f4,axiom,(
% 253.36/32.75 ! [X5 : $int,X6 : collection,X7 : $int] : ((X5 = X7 | in(X5,X6)) <=> in(X5,add(X7,X6)))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
% 253.36/32.75
% 253.36/32.75 tff(f5,axiom,(
% 253.36/32.75 ! [X8 : $int,X9 : collection,X10 : $int] : ((X8 != X10 & in(X8,X9)) <=> in(X8,remove(X10,X9)))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
% 253.36/32.75
% 253.36/32.75 tff(f6,axiom,(
% 253.36/32.75 ! [X11 : collection] : $greatereq(count(X11),0)),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 253.36/32.75
% 253.36/32.75 tff(f7,axiom,(
% 253.36/32.75 ! [X12 : collection] : (empty = X12 <=> 0 = count(X12))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 253.36/32.75
% 253.36/32.75 tff(f8,axiom,(
% 253.36/32.75 ! [X13 : $int,X14 : collection] : (~in(X13,X14) <=> count(add(X13,X14)) = $sum(count(X14),1))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 253.36/32.75
% 253.36/32.75 tff(f9,axiom,(
% 253.36/32.75 ! [X15 : $int,X16 : collection] : (in(X15,X16) <=> count(add(X15,X16)) = count(X16))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
% 253.36/32.75
% 253.36/32.75 tff(f10,axiom,(
% 253.36/32.75 ! [X17 : $int,X18 : collection] : (in(X17,X18) <=> count(remove(X17,X18)) = $difference(count(X18),1))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
% 253.36/32.75
% 253.36/32.75 tff(f11,axiom,(
% 253.36/32.75 ! [X19 : $int,X20 : collection] : (~in(X19,X20) <=> count(remove(X19,X20)) = count(X20))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6)).
% 253.36/32.75
% 253.36/32.75 tff(f12,axiom,(
% 253.36/32.75 ! [X21 : $int,X22 : collection] : (in(X21,X22) => add(X21,remove(X21,X22)) = X22)),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7)).
% 253.36/32.75
% 253.36/32.75 tff(f13,conjecture,(
% 253.36/32.75 3 = count(add(1,add(5,remove(3,add(2,empty)))))),
% 253.36/32.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 253.36/32.75
% 253.36/32.75 tff(f14,negated_conjecture,(
% 253.36/32.75 ~3 = count(add(1,add(5,remove(3,add(2,empty)))))),
% 253.36/32.75 inference(negated_conjecture,[],[f13])).
% 253.36/32.75
% 253.36/32.75 tff(f15,plain,(
% 253.36/32.75 ! [X11 : collection] : ~$less(count(X11),0)),
% 253.36/32.75 inference(theory_normalization,[],[f6])).
% 253.36/32.75
% 253.36/32.75 tff(f16,plain,(
% 253.36/32.75 ! [X17 : $int,X18 : collection] : (in(X17,X18) <=> count(remove(X17,X18)) = $sum(count(X18),$uminus(1)))),
% 253.36/32.75 inference(theory_normalization,[],[f10])).
% 253.36/32.75
% 253.36/32.75 tff(f17,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 253.36/32.75 introduced(theory_axiom_138,[])).
% 253.36/32.75
% 253.36/32.75 tff(f18,plain,(
% 253.36/32.75 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 253.36/32.75 introduced(theory_axiom_139,[])).
% 253.36/32.75
% 253.36/32.75 tff(f19,plain,(
% 253.36/32.75 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 253.36/32.75 introduced(theory_axiom_140,[])).
% 253.36/32.75
% 253.36/32.75 tff(f22,plain,(
% 253.36/32.75 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 253.36/32.75 introduced(theory_axiom_145,[])).
% 253.36/32.75
% 253.36/32.75 tff(f24,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 253.36/32.75 introduced(theory_axiom_147,[])).
% 253.36/32.75
% 253.36/32.75 tff(f28,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 253.36/32.75 introduced(theory_axiom_164,[])).
% 253.36/32.75
% 253.36/32.75 tff(f31,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1)) <=> in(X0,add(X2,X1)))),
% 253.36/32.75 inference(rectify,[],[f4])).
% 253.36/32.75
% 253.36/32.75 tff(f32,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))),
% 253.36/32.75 inference(rectify,[],[f5])).
% 253.36/32.75
% 253.36/32.75 tff(f33,plain,(
% 253.36/32.75 ! [X0 : collection] : ~$less(count(X0),0)),
% 253.36/32.75 inference(rectify,[],[f15])).
% 253.36/32.75
% 253.36/32.75 tff(f34,plain,(
% 253.36/32.75 ! [X0 : collection] : (empty = X0 <=> 0 = count(X0))),
% 253.36/32.75 inference(rectify,[],[f7])).
% 253.36/32.75
% 253.36/32.75 tff(f35,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(add(X0,X1)) = $sum(count(X1),1))),
% 253.36/32.75 inference(rectify,[],[f8])).
% 253.36/32.75
% 253.36/32.75 tff(f36,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(add(X0,X1)) = count(X1))),
% 253.36/32.75 inference(rectify,[],[f9])).
% 253.36/32.75
% 253.36/32.75 tff(f37,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $sum(count(X1),$uminus(1)))),
% 253.36/32.75 inference(rectify,[],[f16])).
% 253.36/32.75
% 253.36/32.75 tff(f38,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(X1) = count(remove(X0,X1)))),
% 253.36/32.75 inference(rectify,[],[f11])).
% 253.36/32.75
% 253.36/32.75 tff(f39,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : (in(X0,X1) => add(X0,remove(X0,X1)) = X1)),
% 253.36/32.75 inference(rectify,[],[f12])).
% 253.36/32.75
% 253.36/32.75 tff(f40,plain,(
% 253.36/32.75 3 != count(add(1,add(5,remove(3,add(2,empty)))))),
% 253.36/32.75 inference(flattening,[],[f14])).
% 253.36/32.75
% 253.36/32.75 tff(f41,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1))),
% 253.36/32.75 inference(ennf_transformation,[],[f39])).
% 253.36/32.75
% 253.36/32.75 tff(f42,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 = X2 | in(X0,X1)) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))))),
% 253.36/32.75 inference(nnf_transformation,[],[f31])).
% 253.36/32.75
% 253.36/32.75 tff(f43,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))))),
% 253.36/32.75 inference(flattening,[],[f42])).
% 253.36/32.75
% 253.36/32.75 tff(f44,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (X0 = X2 | ~in(X0,X1))))),
% 253.36/32.75 inference(nnf_transformation,[],[f32])).
% 253.36/32.75
% 253.36/32.75 tff(f45,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)))),
% 253.36/32.75 inference(flattening,[],[f44])).
% 253.36/32.75
% 253.36/32.75 tff(f46,plain,(
% 253.36/32.75 ! [X0 : collection] : ((empty = X0 | 0 != count(X0)) & (0 = count(X0) | empty != X0))),
% 253.36/32.75 inference(nnf_transformation,[],[f34])).
% 253.36/32.75
% 253.36/32.75 tff(f47,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(add(X0,X1)) != $sum(count(X1),1)) & (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)))),
% 253.36/32.75 inference(nnf_transformation,[],[f35])).
% 253.36/32.75
% 253.36/32.75 tff(f48,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(add(X0,X1)) != count(X1)) & (count(add(X0,X1)) = count(X1) | ~in(X0,X1)))),
% 253.36/32.75 inference(nnf_transformation,[],[f36])).
% 253.36/32.75
% 253.36/32.75 tff(f49,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) & (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)))),
% 253.36/32.75 inference(nnf_transformation,[],[f37])).
% 253.36/32.75
% 253.36/32.75 tff(f50,plain,(
% 253.36/32.75 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(X1) != count(remove(X0,X1))) & (count(X1) = count(remove(X0,X1)) | in(X0,X1)))),
% 253.36/32.75 inference(nnf_transformation,[],[f38])).
% 253.36/32.75
% 253.36/32.75 tff(f51,plain,(
% 253.36/32.75 ( ! [X0 : $int] : (~in(X0,empty)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f1])).
% 253.36/32.75
% 253.36/32.75 tff(f54,plain,(
% 253.36/32.75 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,add(X2,X1)) | ~in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f43])).
% 253.36/32.75
% 253.36/32.75 tff(f55,plain,(
% 253.36/32.75 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,add(X2,X1)) | X0 != X2) )),
% 253.36/32.75 inference(cnf_transformation,[],[f43])).
% 253.36/32.75
% 253.36/32.75 tff(f56,plain,(
% 253.36/32.75 ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) )),
% 253.36/32.75 inference(cnf_transformation,[],[f43])).
% 253.36/32.75
% 253.36/32.75 tff(f57,plain,(
% 253.36/32.75 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f45])).
% 253.36/32.75
% 253.36/32.75 tff(f58,plain,(
% 253.36/32.75 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,X1) | ~in(X0,remove(X2,X1))) )),
% 253.36/32.75 inference(cnf_transformation,[],[f45])).
% 253.36/32.75
% 253.36/32.75 tff(f60,plain,(
% 253.36/32.75 ( ! [X0 : collection] : (~$less(count(X0),0)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f33])).
% 253.36/32.75
% 253.36/32.75 tff(f61,plain,(
% 253.36/32.75 ( ! [X0 : collection] : (0 = count(X0) | empty != X0) )),
% 253.36/32.75 inference(cnf_transformation,[],[f46])).
% 253.36/32.75
% 253.36/32.75 tff(f63,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = $sum(count(X1),1) | in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f47])).
% 253.36/32.75
% 253.36/32.75 tff(f64,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | count(add(X0,X1)) != $sum(count(X1),1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f47])).
% 253.36/32.75
% 253.36/32.75 tff(f65,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = count(X1) | ~in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f48])).
% 253.36/32.75
% 253.36/32.75 tff(f66,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (in(X0,X1) | count(add(X0,X1)) != count(X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f48])).
% 253.36/32.75
% 253.36/32.75 tff(f67,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f49])).
% 253.36/32.75
% 253.36/32.75 tff(f69,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (count(X1) = count(remove(X0,X1)) | in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f50])).
% 253.36/32.75
% 253.36/32.75 tff(f71,plain,(
% 253.36/32.75 ( ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1)) )),
% 253.36/32.75 inference(cnf_transformation,[],[f41])).
% 253.36/32.75
% 253.36/32.75 tff(f72,plain,(
% 253.36/32.75 3 != count(add(1,add(5,remove(3,add(2,empty)))))),
% 253.36/32.75 inference(cnf_transformation,[],[f40])).
% 253.36/32.75
% 253.36/32.75 tff(f73,plain,(
% 253.36/32.75 ( ! [X2 : $int,X1 : collection] : (in(X2,add(X2,X1))) )),
% 253.36/32.75 inference(equality_resolution,[],[f55])).
% 253.36/32.75
% 253.36/32.75 tff(f75,plain,(
% 253.36/32.75 0 = count(empty)),
% 253.36/32.75 inference(equality_resolution,[],[f61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_49,negated_conjecture,
% 253.36/32.75 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 253.36/32.75 inference(cnf_transformation,[],[f28])).
% 253.36/32.75
% 253.36/32.75 cnf(c_53,negated_conjecture,
% 253.36/32.75 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 253.36/32.75 inference(cnf_transformation,[],[f24])).
% 253.36/32.75
% 253.36/32.75 cnf(c_55,negated_conjecture,
% 253.36/32.75 (~$less_int(X0_3,X0_3)),
% 253.36/32.75 inference(cnf_transformation,[],[f22])).
% 253.36/32.75
% 253.36/32.75 cnf(c_58,negated_conjecture,
% 253.36/32.75 ($sum_int(X0_3,0) = X0_3),
% 253.36/32.75 inference(cnf_transformation,[],[f19])).
% 253.36/32.75
% 253.36/32.75 cnf(c_59,negated_conjecture,
% 253.36/32.75 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 253.36/32.75 inference(cnf_transformation,[],[f18])).
% 253.36/32.75
% 253.36/32.75 cnf(c_60,negated_conjecture,
% 253.36/32.75 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 253.36/32.75 inference(cnf_transformation,[],[f17])).
% 253.36/32.75
% 253.36/32.75 cnf(c_61,negated_conjecture,
% 253.36/32.75 (~in(X0_3,empty)),
% 253.36/32.75 inference(cnf_transformation,[],[f51])).
% 253.36/32.75
% 253.36/32.75 cnf(c_64,plain,
% 253.36/32.75 (~in(X0_3,add(X1_3,X0_13))|X0_3 = X1_3|in(X0_3,X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f56])).
% 253.36/32.75
% 253.36/32.75 cnf(c_65,negated_conjecture,
% 253.36/32.75 (in(X0_3,add(X0_3,X0_13))),
% 253.36/32.75 inference(cnf_transformation,[],[f73])).
% 253.36/32.75
% 253.36/32.75 cnf(c_66,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|in(X0_3,add(X1_3,X0_13))),
% 253.36/32.75 inference(cnf_transformation,[],[f54])).
% 253.36/32.75
% 253.36/32.75 cnf(c_68,plain,
% 253.36/32.75 (~in(X0_3,remove(X1_3,X0_13))|in(X0_3,X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f58])).
% 253.36/32.75
% 253.36/32.75 cnf(c_69,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|X0_3 = X1_3|in(X0_3,remove(X1_3,X0_13))),
% 253.36/32.75 inference(cnf_transformation,[],[f57])).
% 253.36/32.75
% 253.36/32.75 cnf(c_70,negated_conjecture,
% 253.36/32.75 (~$less_int(count(X0_13),0)),
% 253.36/32.75 inference(cnf_transformation,[],[f60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_72,negated_conjecture,
% 253.36/32.75 (count(empty) = 0),
% 253.36/32.75 inference(cnf_transformation,[],[f75])).
% 253.36/32.75
% 253.36/32.75 cnf(c_73,negated_conjecture,
% 253.36/32.75 (count(add(X0_3,X0_13)) != $sum_int(count(X0_13),1)|~in(X0_3,X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_74,negated_conjecture,
% 253.36/32.75 (count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)|in(X0_3,X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f63])).
% 253.36/32.75
% 253.36/32.75 cnf(c_75,plain,
% 253.36/32.75 (count(add(X0_3,X0_13)) != count(X0_13)|in(X0_3,X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f66])).
% 253.36/32.75
% 253.36/32.75 cnf(c_76,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|count(add(X0_3,X0_13)) = count(X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f65])).
% 253.36/32.75
% 253.36/32.75 cnf(c_78,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|$sum_int(count(X0_13),$uminus_int(1)) = count(remove(X0_3,X0_13))),
% 253.36/32.75 inference(cnf_transformation,[],[f67])).
% 253.36/32.75
% 253.36/32.75 cnf(c_80,negated_conjecture,
% 253.36/32.75 (count(remove(X0_3,X0_13)) = count(X0_13)|in(X0_3,X0_13)),
% 253.36/32.75 inference(cnf_transformation,[],[f69])).
% 253.36/32.75
% 253.36/32.75 cnf(c_81,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|add(X0_3,remove(X0_3,X0_13)) = X0_13),
% 253.36/32.75 inference(cnf_transformation,[],[f71])).
% 253.36/32.75
% 253.36/32.75 cnf(c_82,negated_conjecture,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) != 3),
% 253.36/32.75 inference(cnf_transformation,[],[f72])).
% 253.36/32.75
% 253.36/32.75 cnf(c_85,plain,($less_int(2,3)),theory(arith)).
% 253.36/32.75
% 253.36/32.75 cnf(c_120,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|$sum_int(count(X0_13),$uminus_int(1)) = count(remove(X0_3,X0_13))),
% 253.36/32.75 inference(prop_impl_just,[status(thm)],[c_78])).
% 253.36/32.75
% 253.36/32.75 cnf(c_385,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|$sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_120])).
% 253.36/32.75
% 253.36/32.75 cnf(c_430,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|$sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)),
% 253.36/32.75 inference(prop_impl_just,[status(thm)],[c_385])).
% 253.36/32.75
% 253.36/32.75 cnf(c_1822,plain,
% 253.36/32.75 (count(X0_13) = 0|$less_int(0,count(X0_13))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_53,c_70])).
% 253.36/32.75
% 253.36/32.75 cnf(c_4881,plain,
% 253.36/32.75 ($sum_int(0,X0_3) = X0_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_60,c_58])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5223,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|count(add(X0_3,add(X1_3,X0_13))) = count(add(X1_3,X0_13))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_66,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5224,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|count(add(X0_3,remove(X1_3,X0_13))) = count(remove(X1_3,X0_13))|
% 253.36/32.75 X0_3 = X1_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_69,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5235,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = $sum_int(count(empty),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5237,plain,
% 253.36/32.75 (add(X0_3,remove(X0_3,X0_13)) = X0_13|count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_81])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5238,plain,
% 253.36/32.75 (count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)|count(add(X0_3,X0_13)) = count(X0_13)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5240,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = $sum_int(0,1)),
% 253.36/32.75 inference(light_normalisation,[status(thm)],[c_5235,c_72])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5241,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = $sum_int(1,0)),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_5240,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5242,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_5241,c_58])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5594,plain,
% 253.36/32.75 ($sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)|count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_430])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5608,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|count(add(X0_3,add(X1_3,remove(X2_3,X0_13)))) = count(add(X1_3,remove(X2_3,X0_13)))|
% 253.36/32.75 X0_3 = X2_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_69,c_5223])).
% 253.36/32.75
% 253.36/32.75 cnf(c_5631,plain,
% 253.36/32.75 (count(add(X0_3,remove(X1_3,X0_13))) = count(remove(X1_3,X0_13))|
% 253.36/32.75 count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)|X0_3 = X1_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_5224])).
% 253.36/32.75
% 253.36/32.75 cnf(c_6339,plain,
% 253.36/32.75 (count(add(X0_3,X0_13)) = count(X0_13)|count(remove(X0_3,X0_13)) = count(X0_13)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_80,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_6678,plain,
% 253.36/32.75 (count(add(X0_3,add(X1_3,remove(X2_3,X0_13)))) = count(add(X1_3,remove(X2_3,X0_13)))|
% 253.36/32.75 count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)|X0_3 = X2_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_5608])).
% 253.36/32.75
% 253.36/32.75 cnf(c_11968,plain,
% 253.36/32.75 (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_4881,c_49])).
% 253.36/32.75
% 253.36/32.75 cnf(c_15330,plain,
% 253.36/32.75 (~$less_int(0,X0_3)|X0_3 = 1|$less_int(1,X0_3)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_53,c_11968])).
% 253.36/32.75
% 253.36/32.75 cnf(c_22651,plain,
% 253.36/32.75 (count(X0_13) = 1|count(X0_13) = 0|$less_int(1,count(X0_13))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_1822,c_15330])).
% 253.36/32.75
% 253.36/32.75 cnf(c_30076,plain,
% 253.36/32.75 ($sum_int(count(add(5,remove(3,add(2,empty)))),1) != 3|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5237,c_82])).
% 253.36/32.75
% 253.36/32.75 cnf(c_30297,plain,
% 253.36/32.75 ($sum_int(1,count(add(5,remove(3,add(2,empty))))) != 3|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_30076,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_30635,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_30297])).
% 253.36/32.75
% 253.36/32.75 cnf(c_30638,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 add(5,remove(5,remove(3,add(2,empty)))) = remove(3,add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5237,c_30635])).
% 253.36/32.75
% 253.36/32.75 cnf(c_30994,plain,
% 253.36/32.75 ($sum_int(1,count(remove(3,add(2,empty)))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 add(5,remove(5,remove(3,add(2,empty)))) = remove(3,add(2,empty))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_30638,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_31710,plain,
% 253.36/32.75 ($sum_int(count(add(5,remove(3,add(2,empty)))),1) != 3|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5238,c_82])).
% 253.36/32.75
% 253.36/32.75 cnf(c_31712,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5238,c_30635])).
% 253.36/32.75
% 253.36/32.75 cnf(c_31913,plain,
% 253.36/32.75 ($sum_int(1,count(add(5,remove(3,add(2,empty))))) != 3|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_31710,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_31973,plain,
% 253.36/32.75 ($sum_int(1,count(remove(3,add(2,empty)))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_31712,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_32309,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 add(5,remove(5,remove(3,add(2,empty)))) = remove(3,add(2,empty))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_30994])).
% 253.36/32.75
% 253.36/32.75 cnf(c_32359,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 2|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_31913])).
% 253.36/32.75
% 253.36/32.75 cnf(c_32362,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != 2|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5238,c_32359])).
% 253.36/32.75
% 253.36/32.75 cnf(c_32364,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_31973])).
% 253.36/32.75
% 253.36/32.75 cnf(c_32702,plain,
% 253.36/32.75 ($sum_int(1,count(remove(3,add(2,empty)))) != 2|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_32362,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_35351,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_32702])).
% 253.36/32.75
% 253.36/32.75 cnf(c_38897,plain,
% 253.36/32.75 ($sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13)|count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_430])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96154,plain,
% 253.36/32.75 (count(add(2,empty)) != 1|count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_6339,c_35351])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96156,plain,
% 253.36/32.75 (count(add(2,empty)) != 1|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_6339,c_32364])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96157,plain,
% 253.36/32.75 (count(add(2,empty)) != 1|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 add(5,remove(5,remove(3,add(2,empty)))) = remove(3,add(2,empty))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_6339,c_32309])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96690,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 add(5,remove(5,remove(3,add(2,empty)))) = remove(3,add(2,empty))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_96157,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96694,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 add(5,remove(5,remove(3,add(2,empty)))) = remove(3,add(2,empty))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_96690,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96705,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_96156,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96709,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_96705,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96735,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_96154,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_96739,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty))))|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_96735,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_98226,plain,
% 253.36/32.75 ($sum_int(count(remove(X0_3,X0_13)),1) = count(X0_13)|count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_38897,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_113148,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|in(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_96694,c_65])).
% 253.36/32.75
% 253.36/32.75 cnf(c_114885,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|in(1,add(5,remove(3,add(2,empty))))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_96709,c_65])).
% 253.36/32.75
% 253.36/32.75 cnf(c_116664,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = 1|count(add(1,add(5,remove(3,add(2,empty))))) = 0|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|$less_int(1,count(add(5,remove(3,add(2,empty)))))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_96739,c_22651])).
% 253.36/32.75
% 253.36/32.75 cnf(c_116682,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 3|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_96739,c_82])).
% 253.36/32.75
% 253.36/32.75 cnf(c_124442,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|in(5,add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_113148,c_68])).
% 253.36/32.75
% 253.36/32.75 cnf(c_135630,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|1 = 5|in(1,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_114885,c_64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_154986,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|count(add(X0_3,add(X1_3,X0_13))) = count(add(X1_3,X0_13))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_66,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_154987,plain,
% 253.36/32.75 (~in(X0_3,X0_13)|count(add(X0_3,remove(X1_3,X0_13))) = count(remove(X1_3,X0_13))|
% 253.36/32.75 X0_3 = X1_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_69,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155208,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = $sum_int(count(empty),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155213,plain,
% 253.36/32.75 (add(X0_3,remove(X0_3,X0_13)) = X0_13|count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_81])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155214,plain,
% 253.36/32.75 (count(add(X0_3,X0_13)) = $sum_int(count(X0_13),1)|count(add(X0_3,X0_13)) = count(X0_13)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_74,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155216,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = $sum_int(0,1)),
% 253.36/32.75 inference(light_normalisation,[status(thm)],[c_155208,c_72])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155217,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = $sum_int(1,0)),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_155216,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155218,plain,
% 253.36/32.75 (count(add(X0_3,empty)) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_155217,c_58])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155809,plain,
% 253.36/32.75 (count(add(X0_3,remove(X1_3,X0_13))) = count(remove(X1_3,X0_13))|
% 253.36/32.75 count(remove(X0_3,X0_13)) = count(X0_13)|X0_3 = X1_3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_80,c_154987])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155810,plain,
% 253.36/32.75 (count(add(X0_3,add(X1_3,X0_13))) = count(add(X1_3,X0_13))|count(remove(X0_3,X0_13)) = count(X0_13)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_80,c_154986])).
% 253.36/32.75
% 253.36/32.75 cnf(c_155813,plain,
% 253.36/32.75 (count(add(X0_3,X0_13)) = count(X0_13)|count(remove(X0_3,X0_13)) = count(X0_13)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_80,c_76])).
% 253.36/32.75
% 253.36/32.75 cnf(c_156732,plain,
% 253.36/32.75 (count(add(X0_3,remove(X1_3,X0_13))) != count(X0_13)|~in(X0_3,remove(X1_3,X0_13))|
% 253.36/32.75 count(add(X1_3,X0_13)) = $sum_int(count(X0_13),1)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_98226,c_73])).
% 253.36/32.75
% 253.36/32.75 cnf(c_160548,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = 1|count(add(1,add(5,remove(3,add(2,empty))))) = 0|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|$less_int(1,$sum_int(count(remove(3,add(2,empty))),1))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5238,c_116664])).
% 253.36/32.75
% 253.36/32.75 cnf(c_160560,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = 1|count(add(1,add(5,remove(3,add(2,empty))))) = 0|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|$less_int(1,$sum_int(1,count(remove(3,add(2,empty)))))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_160548,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_166381,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != 3|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5238,c_116682])).
% 253.36/32.75
% 253.36/32.75 cnf(c_166391,plain,
% 253.36/32.75 ($sum_int(1,count(remove(3,add(2,empty)))) != 3|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_166381,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_194828,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|5 = 2|in(5,empty)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_124442,c_64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_195055,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|5 = 2),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_194828,c_61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_201127,plain,
% 253.36/32.75 ($sum_int(count(add(5,remove(3,add(2,empty)))),1) != 3|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155213,c_82])).
% 253.36/32.75
% 253.36/32.75 cnf(c_201418,plain,
% 253.36/32.75 ($sum_int(1,count(add(5,remove(3,add(2,empty))))) != 3|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_201127,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_207066,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|in(1,remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_135630])).
% 253.36/32.75
% 253.36/32.75 cnf(c_207292,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|in(1,add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_207066,c_68])).
% 253.36/32.75
% 253.36/32.75 cnf(c_212488,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_201418])).
% 253.36/32.75
% 253.36/32.75 cnf(c_235551,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = 1|count(add(1,add(5,remove(3,add(2,empty))))) = 0|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|$less_int(0,count(remove(3,add(2,empty))))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_160560])).
% 253.36/32.75
% 253.36/32.75 cnf(c_235568,plain,
% 253.36/32.75 (count(add(1,add(5,remove(3,add(2,empty))))) = 1|count(add(1,add(5,remove(3,add(2,empty))))) = 0|
% 253.36/32.75 count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|count(remove(3,add(2,empty))) = 1|
% 253.36/32.75 $less_int(1,count(remove(3,add(2,empty))))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_235551,c_15330])).
% 253.36/32.75
% 253.36/32.75 cnf(c_242198,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 3|$sum_int(count(add(2,empty)),1) = count(add(1,add(2,empty)))|
% 253.36/32.75 1 = 3),
% 253.36/32.75 inference(superposition,[status(thm)],[c_6678,c_82])).
% 253.36/32.75
% 253.36/32.75 cnf(c_242268,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 3|count(add(1,add(2,empty))) = $sum_int(1,1)|
% 253.36/32.75 1 = 3),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_242198,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_264543,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 2|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_166391])).
% 253.36/32.75
% 253.36/32.75 cnf(c_264549,plain,
% 253.36/32.75 (count(add(2,empty)) != 2|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_6339,c_264543])).
% 253.36/32.75
% 253.36/32.75 cnf(c_264557,plain,
% 253.36/32.75 (1 != 2|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_264549,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_299000,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(5,add(2,empty))) = count(add(2,empty))|3 = 5),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155809,c_212488])).
% 253.36/32.75
% 253.36/32.75 cnf(c_299458,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(5,add(2,empty))) = 1|3 = 5),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_299000,c_155218])).
% 253.36/32.75
% 253.36/32.75 cnf(c_306418,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(5,add(2,empty))) = 1),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_299458])).
% 253.36/32.75
% 253.36/32.75 cnf(c_308048,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 3|count(remove(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155810,c_82])).
% 253.36/32.75
% 253.36/32.75 cnf(c_311509,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != 3|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155214,c_308048])).
% 253.36/32.75
% 253.36/32.75 cnf(c_311590,plain,
% 253.36/32.75 ($sum_int(1,count(remove(3,add(2,empty)))) != 3|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_311509,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_319829,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 2|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_311590])).
% 253.36/32.75
% 253.36/32.75 cnf(c_322508,plain,
% 253.36/32.75 (count(add(2,empty)) != 2|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155813,c_319829])).
% 253.36/32.75
% 253.36/32.75 cnf(c_322514,plain,
% 253.36/32.75 (count(add(2,empty)) != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = count(add(2,empty))|count(remove(5,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155813,c_306418])).
% 253.36/32.75
% 253.36/32.75 cnf(c_323047,plain,
% 253.36/32.75 (1 != 2|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|count(remove(5,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_322514,c_155218])).
% 253.36/32.75
% 253.36/32.75 cnf(c_323132,plain,
% 253.36/32.75 (1 != 2|count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(remove(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_322508,c_155218])).
% 253.36/32.75
% 253.36/32.75 cnf(c_342715,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_195055])).
% 253.36/32.75
% 253.36/32.75 cnf(c_344130,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(global_subsumption_just,[status(thm)],[c_323047,c_342715])).
% 253.36/32.75
% 253.36/32.75 cnf(c_344131,plain,
% 253.36/32.75 (add(1,remove(1,add(5,remove(3,add(2,empty))))) = add(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(renaming,[status(thm)],[c_344130])).
% 253.36/32.75
% 253.36/32.75 cnf(c_344149,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|in(1,add(5,remove(3,add(2,empty))))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_344131,c_65])).
% 253.36/32.75
% 253.36/32.75 cnf(c_357366,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|1 = 2|in(1,empty)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_207292,c_64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_357641,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|1 = 2),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_357366,c_61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_363975,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(global_subsumption_just,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_323132,c_264557,c_357641])).
% 253.36/32.75
% 253.36/32.75 cnf(c_364020,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|in(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_363975,c_75])).
% 253.36/32.75
% 253.36/32.75 cnf(c_375131,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(global_subsumption_just,[status(thm)],[c_235568,c_363975])).
% 253.36/32.75
% 253.36/32.75 cnf(c_375170,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|in(5,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_375131,c_75])).
% 253.36/32.75
% 253.36/32.75 cnf(c_375171,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != count(remove(3,add(2,empty)))|
% 253.36/32.75 ~in(5,remove(3,add(2,empty)))|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_375131,c_73])).
% 253.36/32.75
% 253.36/32.75 cnf(c_375230,plain,
% 253.36/32.75 ($sum_int(count(remove(3,add(2,empty))),1) != count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(forward_subsumption_resolution,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_375171,c_375170])).
% 253.36/32.75
% 253.36/32.75 cnf(c_375233,plain,
% 253.36/32.75 ($sum_int(1,count(remove(3,add(2,empty)))) != count(remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(theory_normalisation,[status(thm)],[c_375230,c_59,c_60])).
% 253.36/32.75
% 253.36/32.75 cnf(c_379223,plain,
% 253.36/32.75 (count(add(5,remove(3,add(2,empty)))) != 3|count(add(1,add(2,empty))) = 2),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_242268])).
% 253.36/32.75
% 253.36/32.75 cnf(c_379241,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 3|$sum_int(count(add(2,empty)),1) = count(add(5,add(2,empty)))|
% 253.36/32.75 count(add(1,add(2,empty))) = 2|3 = 5),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5631,c_379223])).
% 253.36/32.75
% 253.36/32.75 cnf(c_379298,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 3|count(add(1,add(2,empty))) = 2|
% 253.36/32.75 count(add(5,add(2,empty))) = $sum_int(1,1)|3 = 5),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_379241,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_381366,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|1 = 5|in(1,remove(3,add(2,empty)))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_344149,c_64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_443827,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != count(add(2,empty))|~in(5,remove(3,add(2,empty)))|
% 253.36/32.75 $sum_int(count(add(2,empty)),1) = count(add(3,add(2,empty)))|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_363975,c_156732])).
% 253.36/32.75
% 253.36/32.75 cnf(c_443971,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|~in(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = $sum_int(1,1)|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_443827,c_155218])).
% 253.36/32.75
% 253.36/32.75 cnf(c_483819,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|in(1,remove(3,add(2,empty)))),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_381366])).
% 253.36/32.75
% 253.36/32.75 cnf(c_484099,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|in(1,add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_483819,c_68])).
% 253.36/32.75
% 253.36/32.75 cnf(c_563159,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != count(add(2,empty))|$sum_int(count(add(2,empty)),1) = count(add(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_5594,c_375233])).
% 253.36/32.75
% 253.36/32.75 cnf(c_563203,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|count(add(3,add(2,empty))) = $sum_int(1,1)|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_563159,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_575178,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 3|count(add(1,add(2,empty))) = 2|
% 253.36/32.75 count(add(5,add(2,empty))) = 2),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_379298])).
% 253.36/32.75
% 253.36/32.75 cnf(c_575187,plain,
% 253.36/32.75 (count(add(2,empty)) != 3|count(add(1,add(2,empty))) = 2|count(add(3,add(2,empty))) = count(add(2,empty))|
% 253.36/32.75 count(add(5,add(2,empty))) = 2),
% 253.36/32.75 inference(superposition,[status(thm)],[c_6339,c_575178])).
% 253.36/32.75
% 253.36/32.75 cnf(c_575195,plain,
% 253.36/32.75 (1 != 3|count(add(1,add(2,empty))) = 2|count(add(3,add(2,empty))) = 1|
% 253.36/32.75 count(add(5,add(2,empty))) = 2),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_575187,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_576699,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|~in(5,remove(3,add(2,empty)))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_443971])).
% 253.36/32.75
% 253.36/32.75 cnf(c_576700,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|count(add(3,add(2,empty))) = 1|
% 253.36/32.75 count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(global_subsumption_just,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_576699,c_364020,c_576699])).
% 253.36/32.75
% 253.36/32.75 cnf(c_576705,plain,
% 253.36/32.75 (count(add(2,empty)) != 1|count(add(3,add(2,empty))) = count(add(2,empty))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1|count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(superposition,[status(thm)],[c_155813,c_576700])).
% 253.36/32.75
% 253.36/32.75 cnf(c_576727,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = count(add(2,empty))|count(add(3,add(2,empty))) = 1|
% 253.36/32.75 count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(forward_subsumption_resolution,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_576705,c_155218])).
% 253.36/32.75
% 253.36/32.75 cnf(c_576731,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_576727,c_155218])).
% 253.36/32.75
% 253.36/32.75 cnf(c_630544,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|1 = 2|in(1,empty)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_484099,c_64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_630873,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|1 = 2),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_630544,c_61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726223,plain,
% 253.36/32.75 (count(remove(3,add(2,empty))) != 1|count(add(3,add(2,empty))) = 1|
% 253.36/32.75 count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(smt_theory_normalisation,[status(thm)],[c_563203])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726224,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|count(add(3,add(2,empty))) = 2),
% 253.36/32.75 inference(global_subsumption_just,[status(thm)],[c_726223,c_576731])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726287,plain,
% 253.36/32.75 ($sum_int(count(add(2,empty)),1) = 2|count(add(3,add(2,empty))) = count(add(2,empty))|
% 253.36/32.75 count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_726224,c_5238])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726290,plain,
% 253.36/32.75 (count(add(2,empty)) != 2|count(add(3,add(2,empty))) = 1|in(3,add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_726224,c_75])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726291,plain,
% 253.36/32.75 ($sum_int(count(add(2,empty)),1) != 2|~in(3,add(2,empty))|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(superposition,[status(thm)],[c_726224,c_73])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726306,plain,
% 253.36/32.75 (1 != 2|count(add(3,add(2,empty))) = 1|in(3,add(2,empty))),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_726290,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726340,plain,
% 253.36/32.75 ($sum_int(1,1) != 2|~in(3,add(2,empty))|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_726291,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726398,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1|$sum_int(1,1) = 2),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_726287,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726403,plain,
% 253.36/32.75 (~in(3,add(2,empty))|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(backward_subsumption_resolution,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_726340,c_726398])).
% 253.36/32.75
% 253.36/32.75 cnf(c_726410,plain,
% 253.36/32.75 (1 != 2|count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(backward_subsumption_resolution,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_726306,c_726403])).
% 253.36/32.75
% 253.36/32.75 cnf(c_727568,plain,
% 253.36/32.75 (count(add(3,add(2,empty))) = 1),
% 253.36/32.75 inference(global_subsumption_just,
% 253.36/32.75 [status(thm)],
% 253.36/32.75 [c_575195,c_630873,c_726410])).
% 253.36/32.75
% 253.36/32.75 cnf(c_727632,plain,
% 253.36/32.75 (count(add(2,empty)) != 1|in(3,add(2,empty))),
% 253.36/32.75 inference(superposition,[status(thm)],[c_727568,c_75])).
% 253.36/32.75
% 253.36/32.75 cnf(c_727636,plain,
% 253.36/32.75 (in(3,add(2,empty))),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_727632,c_5242])).
% 253.36/32.75
% 253.36/32.75 cnf(c_857391,plain,
% 253.36/32.75 (3 = 2|in(3,empty)),
% 253.36/32.75 inference(superposition,[status(thm)],[c_727636,c_64])).
% 253.36/32.75
% 253.36/32.75 cnf(c_857906,plain,
% 253.36/32.75 (3 = 2),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_857391,c_61])).
% 253.36/32.75
% 253.36/32.75 cnf(c_864039,plain,
% 253.36/32.75 ($less_int(3,3)),
% 253.36/32.75 inference(demodulation,[status(thm)],[c_85,c_857906])).
% 253.36/32.75
% 253.36/32.75 cnf(c_864042,plain,
% 253.36/32.75 ($false),
% 253.36/32.75 inference(forward_subsumption_resolution,[status(thm)],[c_864039,c_55])).
% 253.36/32.75
% 253.36/32.75
% 253.36/32.75 % SZS output end CNFRefutation for theBenchmark.p
% 253.36/32.75
% 253.36/32.76
%------------------------------------------------------------------------------