TSTP Solution File: ARI711_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI711_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:07:36 EDT 2024
% Result : Theorem 3.76s 1.12s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI711_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 00:50:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running TFA theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.76/1.12 % SZS status Started for theBenchmark.p
% 3.76/1.12 % SZS status Theorem for theBenchmark.p
% 3.76/1.12
% 3.76/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.76/1.12
% 3.76/1.12 ------ iProver source info
% 3.76/1.12
% 3.76/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.76/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.76/1.12 git: non_committed_changes: false
% 3.76/1.12
% 3.76/1.12 ------ Parsing...
% 3.76/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.76/1.12
% 3.76/1.12 ------ Preprocessing... sup_sim: 2 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
% 3.76/1.12
% 3.76/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/1.12
% 3.76/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/1.12 ------ Proving...
% 3.76/1.12 ------ Problem Properties
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12 clauses 26
% 3.76/1.12 conjectures 0
% 3.76/1.12 EPR 10
% 3.76/1.12 Horn 23
% 3.76/1.12 unary 21
% 3.76/1.12 binary 2
% 3.76/1.12 lits 34
% 3.76/1.12 lits eq 17
% 3.76/1.12 fd_pure 0
% 3.76/1.12 fd_pseudo 0
% 3.76/1.12 fd_cond 0
% 3.76/1.12 fd_pseudo_cond 2
% 3.76/1.12 AC symbols 2
% 3.76/1.12
% 3.76/1.12 ------ Input Options Time Limit: Unbounded
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12 ------
% 3.76/1.12 Current options:
% 3.76/1.12 ------
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12 ------ Proving...
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12 % SZS status Theorem for theBenchmark.p
% 3.76/1.12
% 3.76/1.12 % SZS output start CNFRefutation for theBenchmark.p
% 3.76/1.12
% 3.76/1.12 tff(f1,axiom,(
% 3.76/1.12 $product($product($product($sum($sum($sum(a,b),c),1),$sum($sum($sum(a,b),c),1)),$sum($sum($sum(a,b),c),1)),$sum($sum($sum(a,b),c),1)) = 0),
% 3.76/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq)).
% 3.76/1.12
% 3.76/1.12 tff(f2,conjecture,(
% 3.76/1.12 0 = $sum($product($product($product(c,c),c),c),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference($product(-1,1),$product(4,a)),$product(-6,$product(a,a))),$product(-4,$product($product(a,a),a))),$product(-1,$product($product($product(a,a),a),a))),$product(4,b)),$product(-12,$product(b,a))),$product(-6,$product(b,b))),$product(-12,$product($product(b,a),a))),$product(-12,$product($product(b,b),a))),$product(-4,$product($product(b,b),b))),$product(-4,$product($product($product(b,a),a),a))),$product(-6,$product($product($product(b,b),a),a))),$product(-4,$product($product($product(b,b),b),a))),$product(-1,$product($product($product(b,b),b),b))),$product(4,c)),$product(-12,$product(c,a))),$product(-12,$product(c,b))),$product(-6,$product(c,c))),$product(-12,$product($product(c,a),a))),$product(-24,$product($product(c,b),a))),$product(-12,$product($product(c,b),b))),$product(-12,$product($product(c,c),a))),$product(-12,$product($product(c,c),b))),$product(-4,$product($product(c,c),c))),$product(-4,$product($product($product(c,a),a),a))),$product(-12,$product($product($product(c,b),a),a))),$product(-12,$product($product($product(c,b),b),a))),$product(-4,$product($product($product(c,b),b),b))),$product(-6,$product($product($product(c,c),a),a))),$product(-12,$product($product($product(c,c),b),a))),$product(-6,$product($product($product(c,c),b),b))),$product(-4,$product($product($product(c,c),c),a))),$product(-4,$product($product($product(c,c),c),b)))))),
% 3.76/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.76/1.12
% 3.76/1.12 tff(f3,negated_conjecture,(
% 3.76/1.12 ~0 = $sum($product($product($product(c,c),c),c),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference($product(-1,1),$product(4,a)),$product(-6,$product(a,a))),$product(-4,$product($product(a,a),a))),$product(-1,$product($product($product(a,a),a),a))),$product(4,b)),$product(-12,$product(b,a))),$product(-6,$product(b,b))),$product(-12,$product($product(b,a),a))),$product(-12,$product($product(b,b),a))),$product(-4,$product($product(b,b),b))),$product(-4,$product($product($product(b,a),a),a))),$product(-6,$product($product($product(b,b),a),a))),$product(-4,$product($product($product(b,b),b),a))),$product(-1,$product($product($product(b,b),b),b))),$product(4,c)),$product(-12,$product(c,a))),$product(-12,$product(c,b))),$product(-6,$product(c,c))),$product(-12,$product($product(c,a),a))),$product(-24,$product($product(c,b),a))),$product(-12,$product($product(c,b),b))),$product(-12,$product($product(c,c),a))),$product(-12,$product($product(c,c),b))),$product(-4,$product($product(c,c),c))),$product(-4,$product($product($product(c,a),a),a))),$product(-12,$product($product($product(c,b),a),a))),$product(-12,$product($product($product(c,b),b),a))),$product(-4,$product($product($product(c,b),b),b))),$product(-6,$product($product($product(c,c),a),a))),$product(-12,$product($product($product(c,c),b),a))),$product(-6,$product($product($product(c,c),b),b))),$product(-4,$product($product($product(c,c),c),a))),$product(-4,$product($product($product(c,c),c),b)))))),
% 3.76/1.12 inference(negated_conjecture,[],[f2])).
% 3.76/1.12
% 3.76/1.12 tff(f4,plain,(
% 3.76/1.12 ~0 = $sum($product($product($product(c,c),c),c),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($sum($sum($sum($difference($product(-1,1),$product(4,a)),$product(-6,$product(a,a))),$product(-4,$product($product(a,a),a))),$product(-1,$product($product($product(a,a),a),a))),$product(4,b)),$product(-12,$product(b,a))),$product(-6,$product(b,b))),$product(-12,$product($product(b,a),a))),$product(-12,$product($product(b,b),a))),$product(-4,$product($product(b,b),b))),$product(-4,$product($product($product(b,a),a),a))),$product(-6,$product($product($product(b,b),a),a))),$product(-4,$product($product($product(b,b),b),a))),$product(-1,$product($product($product(b,b),b),b))),$uminus($product(4,c))),$product(-12,$product(c,a))),$product(-12,$product(c,b))),$product(-6,$product(c,c))),$product(-12,$product($product(c,a),a))),$product(-24,$product($product(c,b),a))),$product(-12,$product($product(c,b),b))),$product(-12,$product($product(c,c),a))),$product(-12,$product($product(c,c),b))),$product(-4,$product($product(c,c),c))),$product(-4,$product($product($product(c,a),a),a))),$product(-12,$product($product($product(c,b),a),a))),$product(-12,$product($product($product(c,b),b),a))),$product(-4,$product($product($product(c,b),b),b))),$product(-6,$product($product($product(c,c),a),a))),$product(-12,$product($product($product(c,c),b),a))),$product(-6,$product($product($product(c,c),b),b))),$product(-4,$product($product($product(c,c),c),a))),$product(-4,$product($product($product(c,c),c),b)))))),
% 3.76/1.12 inference(theory_normalization,[],[f3])).
% 3.76/1.12
% 3.76/1.12 tff(f5,plain,(
% 3.76/1.12 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.76/1.12 introduced(theory_axiom_138,[])).
% 3.76/1.12
% 3.76/1.12 tff(f6,plain,(
% 3.76/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.76/1.12 introduced(theory_axiom_139,[])).
% 3.76/1.12
% 3.76/1.12 tff(f16,plain,(
% 3.76/1.12 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.76/1.12 introduced(theory_axiom_138,[])).
% 3.76/1.12
% 3.76/1.12 tff(f17,plain,(
% 3.76/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.76/1.12 introduced(theory_axiom_139,[])).
% 3.76/1.12
% 3.76/1.12 tff(f18,plain,(
% 3.76/1.12 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 3.76/1.12 introduced(theory_axiom_140,[])).
% 3.76/1.12
% 3.76/1.12 tff(f20,plain,(
% 3.76/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.76/1.12 introduced(theory_axiom_153,[])).
% 3.76/1.12
% 3.76/1.12 tff(f23,plain,(
% 3.76/1.12 ~0 = $sum($product($product($product(c,c),c),c),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($product(-1,1),$product(4,a)),$product(-6,$product(a,a))),$product(-4,$product($product(a,a),a))),$product(-1,$product($product($product(a,a),a),a))),$uminus($product(4,b))),$product(-12,$product(b,a))),$product(-6,$product(b,b))),$product(-12,$product($product(b,a),a))),$product(-12,$product($product(b,b),a))),$product(-4,$product($product(b,b),b))),$product(-4,$product($product($product(b,a),a),a))),$product(-6,$product($product($product(b,b),a),a))),$product(-4,$product($product($product(b,b),b),a))),$product(-1,$product($product($product(b,b),b),b))),$uminus($product(4,c))),$product(-12,$product(c,a))),$product(-12,$product(c,b))),$product(-6,$product(c,c))),$product(-12,$product($product(c,a),a))),$product(-24,$product($product(c,b),a))),$product(-12,$product($product(c,b),b))),$product(-12,$product($product(c,c),a))),$product(-12,$product($product(c,c),b))),$product(-4,$product($product(c,c),c))),$product(-4,$product($product($product(c,a),a),a))),$product(-12,$product($product($product(c,b),a),a))),$product(-12,$product($product($product(c,b),b),a))),$product(-4,$product($product($product(c,b),b),b))),$product(-6,$product($product($product(c,c),a),a))),$product(-12,$product($product($product(c,c),b),a))),$product(-6,$product($product($product(c,c),b),b))),$product(-4,$product($product($product(c,c),c),a))),$product(-4,$product($product($product(c,c),c),b)))))),
% 3.76/1.12 inference(theory_normalization,[],[f4])).
% 3.76/1.12
% 3.76/1.12 tff(f24,plain,(
% 3.76/1.12 0 != $sum($product($product($product(c,c),c),c),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($product(-1,1),$product(4,a)),$product(-6,$product(a,a))),$product(-4,$product($product(a,a),a))),$product(-1,$product($product($product(a,a),a),a))),$uminus($product(4,b))),$product(-12,$product(b,a))),$product(-6,$product(b,b))),$product(-12,$product($product(b,a),a))),$product(-12,$product($product(b,b),a))),$product(-4,$product($product(b,b),b))),$product(-4,$product($product($product(b,a),a),a))),$product(-6,$product($product($product(b,b),a),a))),$product(-4,$product($product($product(b,b),b),a))),$product(-1,$product($product($product(b,b),b),b))),$uminus($product(4,c))),$product(-12,$product(c,a))),$product(-12,$product(c,b))),$product(-6,$product(c,c))),$product(-12,$product($product(c,a),a))),$product(-24,$product($product(c,b),a))),$product(-12,$product($product(c,b),b))),$product(-12,$product($product(c,c),a))),$product(-12,$product($product(c,c),b))),$product(-4,$product($product(c,c),c))),$product(-4,$product($product($product(c,a),a),a))),$product(-12,$product($product($product(c,b),a),a))),$product(-12,$product($product($product(c,b),b),a))),$product(-4,$product($product($product(c,b),b),b))),$product(-6,$product($product($product(c,c),a),a))),$product(-12,$product($product($product(c,c),b),a))),$product(-6,$product($product($product(c,c),b),b))),$product(-4,$product($product($product(c,c),c),a))),$product(-4,$product($product($product(c,c),c),b)))))),
% 3.76/1.12 inference(flattening,[],[f23])).
% 3.76/1.12
% 3.76/1.12 tff(f25,plain,(
% 3.76/1.12 $product($product($product($sum($sum($sum(a,b),c),1),$sum($sum($sum(a,b),c),1)),$sum($sum($sum(a,b),c),1)),$sum($sum($sum(a,b),c),1)) = 0),
% 3.76/1.12 inference(cnf_transformation,[],[f1])).
% 3.76/1.12
% 3.76/1.12 tff(f26,plain,(
% 3.76/1.12 0 != $sum($product($product($product(c,c),c),c),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($difference($product(-1,1),$product(4,a)),$product(-6,$product(a,a))),$product(-4,$product($product(a,a),a))),$product(-1,$product($product($product(a,a),a),a))),$uminus($product(4,b))),$product(-12,$product(b,a))),$product(-6,$product(b,b))),$product(-12,$product($product(b,a),a))),$product(-12,$product($product(b,b),a))),$product(-4,$product($product(b,b),b))),$product(-4,$product($product($product(b,a),a),a))),$product(-6,$product($product($product(b,b),a),a))),$product(-4,$product($product($product(b,b),b),a))),$product(-1,$product($product($product(b,b),b),b))),$uminus($product(4,c))),$product(-12,$product(c,a))),$product(-12,$product(c,b))),$product(-6,$product(c,c))),$product(-12,$product($product(c,a),a))),$product(-24,$product($product(c,b),a))),$product(-12,$product($product(c,b),b))),$product(-12,$product($product(c,c),a))),$product(-12,$product($product(c,c),b))),$product(-4,$product($product(c,c),c))),$product(-4,$product($product($product(c,a),a),a))),$product(-12,$product($product($product(c,b),a),a))),$product(-12,$product($product($product(c,b),b),a))),$product(-4,$product($product($product(c,b),b),b))),$product(-6,$product($product($product(c,c),a),a))),$product(-12,$product($product($product(c,c),b),a))),$product(-6,$product($product($product(c,c),b),b))),$product(-4,$product($product($product(c,c),c),a))),$product(-4,$product($product($product(c,c),c),b)))))),
% 3.76/1.12 inference(cnf_transformation,[],[f24])).
% 3.76/1.12
% 3.76/1.12 cnf(c_51,plain,
% 3.76/1.12 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.76/1.12 inference(cnf_transformation,[],[f20])).
% 3.76/1.12
% 3.76/1.12 cnf(c_53,plain,
% 3.76/1.12 ($product_int(X0_3,1) = X0_3),
% 3.76/1.12 inference(cnf_transformation,[],[f18])).
% 3.76/1.12
% 3.76/1.12 cnf(c_54,plain,
% 3.76/1.12 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.76/1.12 inference(cnf_transformation,[],[f17])).
% 3.76/1.12
% 3.76/1.12 cnf(c_55,plain,
% 3.76/1.12 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.76/1.12 inference(cnf_transformation,[],[f16])).
% 3.76/1.12
% 3.76/1.12 cnf(c_65,plain,
% 3.76/1.12 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.76/1.12 inference(cnf_transformation,[],[f6])).
% 3.76/1.12
% 3.76/1.12 cnf(c_66,plain,
% 3.76/1.12 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.76/1.12 inference(cnf_transformation,[],[f5])).
% 3.76/1.12
% 3.76/1.12 cnf(c_67,plain,
% 3.76/1.12 ($product_int($product_int($product_int($sum_int($sum_int($sum_int(a,b),c),1),$sum_int($sum_int($sum_int(a,b),c),1)),$sum_int($sum_int($sum_int(a,b),c),1)),$sum_int($sum_int($sum_int(a,b),c),1)) = 0),
% 3.76/1.12 inference(cnf_transformation,[],[f25])).
% 3.76/1.12
% 3.76/1.12 cnf(c_68,negated_conjecture,
% 3.76/1.12 ($sum_int($product_int($product_int($product_int(c,c),c),c),$product_int(-1,$sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($sum_int($difference_int($product_int(-1,1),$product_int(4,a)),$product_int(-6,$product_int(a,a))),$product_int(-4,$product_int($product_int(a,a),a))),$product_int(-1,$product_int($product_int($product_int(a,a),a),a))),$uminus_int($product_int(4,b))),$product_int(-12,$product_int(b,a))),$product_int(-6,$product_int(b,b))),$product_int(-12,$product_int($product_int(b,a),a))),$product_int(-12,$product_int($product_int(b,b),a))),$product_int(-4,$product_int($product_int(b,b),b))),$product_int(-4,$product_int($product_int($product_int(b,a),a),a))),$product_int(-6,$product_int($product_int($product_int(b,b),a),a))),$product_int(-4,$product_int($product_int($product_int(b,b),b),a))),$product_int(-1,$product_int($product_int($product_int(b,b),b),b))),$uminus_int($product_int(4,c))),$product_int(-12,$product_int(c,a))),$product_int(-12,$product_int(c,b))),$product_int(-6,$product_int(c,c))),$product_int(-12,$product_int($product_int(c,a),a))),$product_int(-24,$product_int($product_int(c,b),a))),$product_int(-12,$product_int($product_int(c,b),b))),$product_int(-12,$product_int($product_int(c,c),a))),$product_int(-12,$product_int($product_int(c,c),b))),$product_int(-4,$product_int($product_int(c,c),c))),$product_int(-4,$product_int($product_int($product_int(c,a),a),a))),$product_int(-12,$product_int($product_int($product_int(c,b),a),a))),$product_int(-12,$product_int($product_int($product_int(c,b),b),a))),$product_int(-4,$product_int($product_int($product_int(c,b),b),b))),$product_int(-6,$product_int($product_int($product_int(c,c),a),a))),$product_int(-12,$product_int($product_int($product_int(c,c),b),a))),$product_int(-6,$product_int($product_int($product_int(c,c),b),b))),$product_int(-4,$product_int($product_int($product_int(c,c),c),a))),$product_int(-4,$product_int($product_int($product_int(c,c),c),b))))) != 0),
% 3.76/1.12 inference(cnf_transformation,[],[f26])).
% 3.76/1.12
% 3.76/1.12 cnf(c_91,plain,
% 3.76/1.12 ($product_int($sum_int(a,$sum_int(b,$sum_int(c,1))),$product_int($sum_int(a,$sum_int(b,$sum_int(c,1))),$product_int($sum_int(a,$sum_int(b,$sum_int(c,1))),$sum_int(a,$sum_int(b,$sum_int(c,1)))))) = 0),
% 3.76/1.12 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.76/1.12
% 3.76/1.12 cnf(c_92,negated_conjecture,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$product_int(-1,$sum_int($uminus_int($product_int(b,4)),$sum_int($uminus_int($product_int(c,4)),$sum_int($product_int(a,$product_int(a,-6)),$sum_int($product_int(a,$product_int(b,-12)),$sum_int($product_int(a,$product_int(c,-12)),$sum_int($product_int(b,$product_int(b,-6)),$sum_int($product_int(b,$product_int(c,-12)),$sum_int($product_int(c,$product_int(c,-6)),$sum_int($product_int(a,$product_int(a,$product_int(a,-4))),$sum_int($product_int(a,$product_int(a,$product_int(b,-12))),$sum_int($product_int(a,$product_int(a,$product_int(c,-12))),$sum_int($product_int(a,$product_int(b,$product_int(b,-12))),$sum_int($product_int(a,$product_int(b,$product_int(c,-24))),$sum_int($product_int(a,$product_int(c,$product_int(c,-12))),$sum_int($product_int(b,$product_int(b,$product_int(b,-4))),$sum_int($product_int(b,$product_int(b,$product_int(c,-12))),$sum_int($product_int(b,$product_int(c,$product_int(c,-12))),$sum_int($product_int(c,$product_int(c,$product_int(c,-4))),$sum_int($difference_int($product_int(1,-1),$product_int(a,4)),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,-1)))),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(b,-4)))),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(c,-4)))),$sum_int($product_int(a,$product_int(a,$product_int(b,$product_int(b,-6)))),$sum_int($product_int(a,$product_int(a,$product_int(b,$product_int(c,-12)))),$sum_int($product_int(a,$product_int(a,$product_int(c,$product_int(c,-6)))),$sum_int($product_int(a,$product_int(b,$product_int(b,$product_int(b,-4)))),$sum_int($product_int(a,$product_int(b,$product_int(b,$product_int(c,-12)))),$sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,-12)))),$sum_int($product_int(a,$product_int(c,$product_int(c,$product_int(c,-4)))),$sum_int($product_int(b,$product_int(b,$product_int(b,$product_int(b,-1)))),$sum_int($product_int(b,$product_int(b,$product_int(b,$product_int(c,-4)))),$sum_int($product_int(b,$product_int(b,$product_int(c,$product_int(c,-6)))),$product_int(b,$product_int(c,$product_int(c,$product_int(c,-4)))))))))))))))))))))))))))))))))))))) != 0),
% 3.76/1.12 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 3.76/1.12
% 3.76/1.12 cnf(c_234,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(4,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(4,$product_int(a,$product_int(a,$product_int(a,b)))),$sum_int($product_int(4,$product_int(a,$product_int(a,$product_int(a,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(4,$product_int(a,$product_int(b,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(a,$product_int(c,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$product_int(b,$product_int(b,$product_int(b,c)))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$product_int(b,$product_int(c,$product_int(c,c))))))))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(smt_theory_normalisation,[status(thm)],[c_92])).
% 3.76/1.12
% 3.76/1.12 cnf(c_235,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(4,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(4,$product_int(a,$product_int(b,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(a,$product_int(c,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$product_int(b,$product_int(b,$product_int(b,c)))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(b,$product_int(c,$product_int(c,c)))),$product_int(4,$sum_int($product_int(a,$product_int(a,$product_int(a,b))),$product_int(a,$product_int(a,$product_int(a,c))))))))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_234,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_236,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(4,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(a,$product_int(c,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$product_int(b,$product_int(b,$product_int(b,c)))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(b,$product_int(c,$product_int(c,c)))),$product_int(4,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,b)),$product_int(a,$product_int(a,c)))),$product_int(a,$product_int(b,$product_int(b,b)))))))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_235,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_237,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(4,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$product_int(b,$product_int(b,$product_int(b,c)))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(b,$product_int(c,$product_int(c,c)))),$product_int(4,$sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,b),$product_int(a,c))),$product_int(b,$product_int(b,b)))),$product_int(a,$product_int(c,$product_int(c,c))))))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_236,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_238,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(4,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$product_int(b,$product_int(c,$product_int(c,c)))),$product_int(4,$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(a,$sum_int(b,c))),$product_int(b,$product_int(b,b))),$product_int(c,$product_int(c,c)))),$product_int(b,$product_int(b,$product_int(b,c)))))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_237,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_239,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(4,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(a,$sum_int(b,c))),$product_int(b,$product_int(b,b))),$product_int(c,$product_int(c,c)))),$product_int(b,$product_int(b,$product_int(b,c)))),$product_int(b,$product_int(c,$product_int(c,c))))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_238,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_240,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(4,$product_int(b,$product_int(b,b))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(a,$sum_int(b,c))),$product_int(b,$product_int(b,b))),$product_int(c,$product_int(c,c)))),$product_int(b,$sum_int($product_int(b,$product_int(b,c)),$product_int(c,$product_int(c,c))))),$product_int(a,$product_int(a,a))))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_239,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_241,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($product_int(b,$sum_int($product_int(b,$product_int(b,c)),$product_int(c,$product_int(c,c)))),$product_int(a,$sum_int($sum_int($sum_int($product_int(a,$product_int(a,$sum_int(b,c))),$product_int(b,$product_int(b,b))),$product_int(c,$product_int(c,c))),$product_int(a,a)))),$product_int(b,$product_int(b,b)))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_240,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_242,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,b),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$product_int(b,$sum_int($sum_int($product_int(b,$product_int(b,c)),$product_int(c,$product_int(c,c))),$product_int(b,b)))),$product_int(c,$product_int(c,c))))))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_241,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_243,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(4,c),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b)))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_242,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_244,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(4,a),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_243,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_245,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(b,b)))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(6,$product_int(a,$product_int(a,$product_int(c,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_244,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_246,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(6,$product_int(b,$product_int(b,$product_int(c,c)))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$product_int(6,$sum_int($product_int(a,$product_int(a,$product_int(b,b))),$product_int(a,$product_int(a,$product_int(c,c)))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_245,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_247,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(6,$product_int(a,a)),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$product_int(6,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(b,b)),$product_int(a,$product_int(c,c)))),$product_int(b,$product_int(b,$product_int(c,c))))))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_246,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_248,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(6,$product_int(b,b)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$product_int(6,$sum_int($sum_int($product_int(a,$product_int(a,$sum_int($product_int(b,b),$product_int(c,c)))),$product_int(b,$product_int(b,$product_int(c,c)))),$product_int(a,a)))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_247,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_249,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(6,$product_int(c,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$product_int(6,$sum_int($sum_int($product_int(b,$product_int(b,$product_int(c,c))),$product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a))),$product_int(b,b))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_248,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_250,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(a,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(b,c)))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c)))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_249,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_251,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(12,$product_int(a,$product_int(b,$product_int(c,c)))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$product_int(a,$product_int(b,c))),$product_int(a,$product_int(b,$product_int(b,c))))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_250,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_252,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,b))),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(b,c)),$product_int(b,$product_int(b,c)))),$product_int(a,$product_int(b,$product_int(c,c)))))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_251,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_253,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(12,$product_int(a,$product_int(a,c))),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,c)),$product_int(b,$product_int(b,c))),$product_int(b,$product_int(c,c)))),$product_int(a,$product_int(a,b)))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_252,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_254,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(12,$product_int(a,$product_int(b,b))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,c)),$product_int(b,$sum_int($product_int(b,c),$product_int(c,c)))),$product_int(a,b))),$product_int(a,$product_int(a,c))))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_253,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_255,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(a,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($sum_int($product_int(b,$sum_int($product_int(b,c),$product_int(c,c))),$product_int(a,$sum_int($product_int(b,c),b))),$product_int(a,c))),$product_int(a,$product_int(b,b)))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_254,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_256,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($sum_int($product_int(b,$sum_int($product_int(b,c),$product_int(c,c))),$product_int(a,$sum_int($sum_int($product_int(b,c),b),c))),$product_int(b,b))),$product_int(a,$product_int(c,c))))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_255,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_257,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(12,$product_int(b,$product_int(c,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(b,c),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),b))),$product_int(c,c))),$product_int(b,$product_int(b,c)))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_256,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_258,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,b)),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(b,c),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),b))),$product_int(c,c))),$product_int(b,$product_int(b,c))),$product_int(b,$product_int(c,c))))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_257,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_259,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(a,c)),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(b,c),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),b))),$product_int(c,c))),$product_int(b,$sum_int($product_int(b,c),$product_int(c,c)))),$product_int(a,b))))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_258,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_260,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(12,$product_int(b,c)),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($sum_int($product_int(b,$sum_int($product_int(b,c),$product_int(c,c))),$product_int(a,$sum_int($sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(b,c),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),b))),$product_int(c,c)),b))),$product_int(a,c)))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_259,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_261,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($sum_int($product_int(b,$sum_int($product_int(b,c),$product_int(c,c))),$product_int(a,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(b,c),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),b))),$product_int(c,c)),b),c))),$product_int(b,c))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_260,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_262,plain,
% 3.76/1.12 ($sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(24,$product_int(a,$product_int(b,c))),$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(4,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int($product_int(a,$sum_int(b,c)),a))))),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int($product_int(b,c),b)))),$product_int(c,$product_int(c,c)))),b),c),a)),$sum_int($product_int(6,$sum_int($sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(b,b),$product_int(c,c))),a)),$product_int(b,$sum_int($product_int(b,$product_int(c,c)),b))),$product_int(c,c))),$product_int(12,$sum_int($product_int(a,$sum_int($sum_int($sum_int($sum_int($product_int(a,$sum_int($sum_int($product_int(b,c),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),b))),$product_int(c,c)),b),c)),$product_int(b,$sum_int($sum_int($product_int(b,c),$product_int(c,c)),c)))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_261,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_263,plain,
% 3.76/1.12 ($sum_int($product_int(a,$product_int(a,$product_int(a,a))),$sum_int($product_int(a,$product_int(b,$product_int(c,24))),$sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(6,$sum_int($product_int(c,c),$sum_int($product_int(b,$sum_int(b,$product_int(b,$product_int(c,c)))),$product_int(a,$sum_int(a,$product_int(a,$sum_int($product_int(b,b),$product_int(c,c)))))))),$sum_int($product_int(12,$sum_int($product_int(b,$sum_int(c,$sum_int($product_int(b,c),$product_int(c,c)))),$product_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,c),$sum_int($product_int(a,$sum_int(b,$sum_int(c,$product_int(b,c)))),$product_int(b,$sum_int(b,$sum_int($product_int(b,c),$product_int(c,c))))))))))),$product_int(4,$sum_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,$product_int(c,c)),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int(b,$product_int(b,c))))),$product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int(a,$product_int(a,$sum_int(b,c))))))))))))))))))) != -1),
% 3.76/1.12 inference(theory_normalisation,[status(thm)],[c_262,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_264,plain,
% 3.76/1.12 ($sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(6,$sum_int($product_int(c,c),$sum_int($product_int(b,$sum_int(b,$product_int(b,$product_int(c,c)))),$product_int(a,$sum_int(a,$product_int(a,$sum_int($product_int(b,b),$product_int(c,c)))))))),$sum_int($product_int(12,$sum_int($product_int(b,$sum_int(c,$sum_int($product_int(b,c),$product_int(c,c)))),$product_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,c),$sum_int($product_int(a,$sum_int(b,$sum_int(c,$product_int(b,c)))),$product_int(b,$sum_int(b,$sum_int($product_int(b,c),$product_int(c,c))))))))))),$sum_int($product_int(4,$sum_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,$product_int(c,c)),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int(b,$product_int(b,c))))),$product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int(a,$product_int(a,$sum_int(b,c))))))))))))),$product_int(a,$sum_int($product_int(a,$product_int(a,a)),$product_int(b,$product_int(c,24))))))))) != -1),
% 3.76/1.12 inference(ac_demodulation,[status(thm)],[c_263,c_51,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_265,plain,
% 3.76/1.12 ($sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,a)),$product_int(b,$product_int(c,24)))),$sum_int($product_int(6,$sum_int($product_int(c,c),$sum_int($product_int(b,$sum_int(b,$product_int(b,$product_int(c,c)))),$product_int(a,$sum_int(a,$product_int(a,$sum_int($product_int(b,b),$product_int(c,c)))))))),$sum_int($product_int(12,$sum_int($product_int(b,$sum_int(c,$sum_int($product_int(b,c),$product_int(c,c)))),$product_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,c),$sum_int($product_int(a,$sum_int(b,$sum_int(c,$product_int(b,c)))),$product_int(b,$sum_int(b,$sum_int($product_int(b,c),$product_int(c,c))))))))))),$product_int(4,$sum_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,$product_int(c,c)),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int(b,$product_int(b,c))))),$product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int(a,$product_int(a,$sum_int(b,c)))))))))))))))))) != -1),
% 3.76/1.12 inference(theory_normalisation,[status(thm)],[c_264,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_1123,plain,
% 3.76/1.12 ($sum_int($product_int(X0_3,X1_3),$product_int(X1_3,X2_3)) = $product_int(X1_3,$sum_int(X0_3,X2_3))),
% 3.76/1.12 inference(superposition,[status(thm)],[c_55,c_51])).
% 3.76/1.12
% 3.76/1.12 cnf(c_1126,plain,
% 3.76/1.12 ($sum_int(X0_3,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(1,X1_3))),
% 3.76/1.12 inference(superposition,[status(thm)],[c_53,c_51])).
% 3.76/1.12
% 3.76/1.12 cnf(c_1156,plain,
% 3.76/1.12 ($sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,a)),$product_int(b,$product_int(c,24)))),$sum_int($product_int(6,$sum_int($product_int(c,c),$sum_int($product_int(b,$sum_int(b,$product_int(b,$product_int(c,c)))),$product_int(a,$sum_int(a,$product_int(a,$sum_int($product_int(b,b),$product_int(c,c)))))))),$sum_int($product_int(12,$sum_int($product_int(b,$sum_int(c,$product_int(c,$sum_int(b,c)))),$product_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,c),$sum_int($product_int(a,$sum_int(b,$sum_int(c,$product_int(b,c)))),$product_int(b,$sum_int(b,$product_int(c,$sum_int(b,c))))))))))),$product_int(4,$sum_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,$product_int(c,c)),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$sum_int(b,$product_int(b,c))))),$product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$sum_int(a,$product_int(a,$sum_int(b,c)))))))))))))))))) != -1),
% 3.76/1.12 inference(demodulation,[status(thm)],[c_265,c_1123])).
% 3.76/1.12
% 3.76/1.12 cnf(c_1319,plain,
% 3.76/1.12 ($sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,a)),$product_int(b,$product_int(c,24)))),$sum_int($product_int(6,$sum_int($product_int(c,c),$sum_int($product_int(b,$product_int(b,$sum_int(1,$product_int(c,c)))),$product_int(a,$product_int(a,$sum_int(1,$sum_int($product_int(b,b),$product_int(c,c)))))))),$sum_int($product_int(12,$sum_int($product_int(b,$product_int(c,$sum_int(1,$sum_int(b,c)))),$product_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,c),$sum_int($product_int(a,$sum_int(b,$sum_int(c,$product_int(b,c)))),$product_int(b,$sum_int(b,$product_int(c,$sum_int(b,c))))))))))),$product_int(4,$sum_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,$product_int(c,c)),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$product_int(b,$sum_int(1,c))))),$product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$product_int(a,$sum_int(1,$sum_int(b,c)))))))))))))))))) != -1),
% 3.76/1.12 inference(demodulation,[status(thm)],[c_1156,c_1126])).
% 3.76/1.12
% 3.76/1.12 cnf(c_1320,plain,
% 3.76/1.12 ($sum_int($product_int(b,$product_int(b,$product_int(b,b))),$sum_int($product_int(c,$product_int(c,$product_int(c,c))),$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,a)),$product_int(b,$product_int(c,24)))),$sum_int($product_int(6,$sum_int($product_int(c,c),$sum_int($product_int(b,$product_int(b,$sum_int(1,$product_int(c,c)))),$product_int(a,$product_int(a,$sum_int(1,$sum_int($product_int(b,b),$product_int(c,c)))))))),$sum_int($product_int(12,$sum_int($product_int(b,$product_int(c,$sum_int(b,$sum_int(c,1)))),$product_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,c),$sum_int($product_int(a,$sum_int(b,$sum_int(c,$product_int(b,c)))),$product_int(b,$sum_int(b,$product_int(c,$sum_int(b,c))))))))))),$product_int(4,$sum_int(a,$sum_int(b,$sum_int(c,$sum_int($product_int(c,$product_int(c,c)),$sum_int($product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(b,$product_int(b,$sum_int(c,1))))),$product_int(a,$sum_int($product_int(b,$product_int(b,b)),$sum_int($product_int(c,$product_int(c,c)),$product_int(a,$product_int(a,$sum_int(b,$sum_int(c,1)))))))))))))))))) != -1),
% 3.76/1.12 inference(theory_normalisation,
% 3.76/1.12 [status(thm)],
% 3.76/1.12 [c_1319,c_65,c_66,c_54,c_55])).
% 3.76/1.12
% 3.76/1.12 cnf(c_4488,plain,
% 3.76/1.12 ($false),
% 3.76/1.12 inference(smt_impl_just,[status(thm)],[c_1320,c_91])).
% 3.76/1.12
% 3.76/1.12
% 3.76/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 3.76/1.12
% 3.76/1.12
%------------------------------------------------------------------------------