TSTP Solution File: ARI712_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI712_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 3.48s 1.14s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI712_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.11/0.34 % Computer : n024.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Fri May 3 01:06:35 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.46 Running TFA theorem proving
% 0.18/0.46 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
% 3.48/1.14 % SZS status Started for theBenchmark.p
% 3.48/1.14 % SZS status Theorem for theBenchmark.p
% 3.48/1.14
% 3.48/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.48/1.14
% 3.48/1.14 ------ iProver source info
% 3.48/1.14
% 3.48/1.14 git: date: 2024-05-02 19:28:25 +0000
% 3.48/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.48/1.14 git: non_committed_changes: false
% 3.48/1.14
% 3.48/1.14 ------ Parsing...
% 3.48/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.48/1.14
% 3.48/1.14 ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.48/1.14
% 3.48/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.48/1.14
% 3.48/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.48/1.14 ------ Proving...
% 3.48/1.14 ------ Problem Properties
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14 clauses 22
% 3.48/1.14 conjectures 0
% 3.48/1.14 EPR 6
% 3.48/1.14 Horn 19
% 3.48/1.14 unary 17
% 3.48/1.14 binary 2
% 3.48/1.14 lits 30
% 3.48/1.14 lits eq 17
% 3.48/1.14 fd_pure 0
% 3.48/1.14 fd_pseudo 0
% 3.48/1.14 fd_cond 0
% 3.48/1.14 fd_pseudo_cond 2
% 3.48/1.14 AC symbols 2
% 3.48/1.14
% 3.48/1.14 ------ Input Options Time Limit: Unbounded
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14 ------
% 3.48/1.14 Current options:
% 3.48/1.14 ------
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14 ------ Proving...
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14 % SZS status Theorem for theBenchmark.p
% 3.48/1.14
% 3.48/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 3.48/1.14
% 3.48/1.14 tff(f1,axiom,(
% 3.48/1.14 $sum($sum($sum($product(a,a),$product($sum($product($product(a,b),c),$product($product(b,d),a)),$sum($sum($product($product(c,c),a),$product($product(d,d),b)),1))),b),$product(-1,$product($sum($sum($sum(a,b),c),d),$sum(2,c)))) = 0),
% 3.48/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq)).
% 3.48/1.14
% 3.48/1.14 tff(f2,conjecture,(
% 3.48/1.14 0 = $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a)))))),
% 3.48/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.48/1.14
% 3.48/1.14 tff(f3,negated_conjecture,(
% 3.48/1.14 ~0 = $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a)))))),
% 3.48/1.14 inference(negated_conjecture,[],[f2])).
% 3.48/1.14
% 3.48/1.14 tff(f4,plain,(
% 3.48/1.14 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.48/1.14 introduced(theory_axiom_138,[])).
% 3.48/1.14
% 3.48/1.14 tff(f5,plain,(
% 3.48/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.48/1.14 introduced(theory_axiom_139,[])).
% 3.48/1.14
% 3.48/1.14 tff(f15,plain,(
% 3.48/1.14 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.48/1.14 introduced(theory_axiom_138,[])).
% 3.48/1.14
% 3.48/1.14 tff(f16,plain,(
% 3.48/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.48/1.14 introduced(theory_axiom_139,[])).
% 3.48/1.14
% 3.48/1.14 tff(f19,plain,(
% 3.48/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.48/1.14 introduced(theory_axiom_153,[])).
% 3.48/1.14
% 3.48/1.14 tff(f22,plain,(
% 3.48/1.14 0 != $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a)))))),
% 3.48/1.14 inference(flattening,[],[f3])).
% 3.48/1.14
% 3.48/1.14 tff(f23,plain,(
% 3.48/1.14 $sum($sum($sum($product(a,a),$product($sum($product($product(a,b),c),$product($product(b,d),a)),$sum($sum($product($product(c,c),a),$product($product(d,d),b)),1))),b),$product(-1,$product($sum($sum($sum(a,b),c),d),$sum(2,c)))) = 0),
% 3.48/1.14 inference(cnf_transformation,[],[f1])).
% 3.48/1.14
% 3.48/1.14 tff(f24,plain,(
% 3.48/1.14 0 != $sum($product(1,$product($product($product($product($product(d,d),d),b),b),a)),$product(-1,$sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($sum($product(2,a),$product(-1,$product(a,a))),b),$product(2,c)),$product(-1,$product($product($product($product($product(d,d),c),b),b),a))),$product(c,a)),$product(c,b)),$product(-1,$product($product(c,b),a))),$product(-1,$product($product($product($product($product(c,c),c),b),a),a))),$product(2,d)),$product(d,c)),$product(-1,$product($product(d,b),a))),$product(c,c)),$product(-1,$product($product($product($product($product(d,c),c),b),a),a)))))),
% 3.48/1.14 inference(cnf_transformation,[],[f22])).
% 3.48/1.14
% 3.48/1.14 cnf(c_51,plain,
% 3.48/1.14 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.48/1.14 inference(cnf_transformation,[],[f19])).
% 3.48/1.14
% 3.48/1.14 cnf(c_54,plain,
% 3.48/1.14 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.48/1.14 inference(cnf_transformation,[],[f16])).
% 3.48/1.14
% 3.48/1.14 cnf(c_55,plain,
% 3.48/1.14 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.48/1.14 inference(cnf_transformation,[],[f15])).
% 3.48/1.14
% 3.48/1.14 cnf(c_65,plain,
% 3.48/1.14 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.48/1.14 inference(cnf_transformation,[],[f5])).
% 3.48/1.14
% 3.48/1.14 cnf(c_66,plain,
% 3.48/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.48/1.14 inference(cnf_transformation,[],[f4])).
% 3.48/1.14
% 3.48/1.14 cnf(c_67,plain,
% 3.48/1.14 ($sum_int($sum_int($sum_int($product_int(a,a),$product_int($sum_int($product_int($product_int(a,b),c),$product_int($product_int(b,d),a)),$sum_int($sum_int($product_int($product_int(c,c),a),$product_int($product_int(d,d),b)),1))),b),$product_int(-1,$product_int($sum_int($sum_int($sum_int(a,b),c),d),$sum_int(2,c)))) = 0),
% 3.48/1.14 inference(cnf_transformation,[],[f23])).
% 3.48/1.14
% 3.48/1.14 cnf(c_68,negated_conjecture,
% 3.48/1.14 ($sum_int($product_int(1,$product_int($product_int($product_int($product_int($product_int(d,d),d),b),b),a)),$product_int(-1,$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($product_int(2,a),$product_int(-1,$product_int(a,a))),b),$product_int(2,c)),$product_int(-1,$product_int($product_int($product_int($product_int($product_int(d,d),c),b),b),a))),$product_int(c,a)),$product_int(c,b)),$product_int(-1,$product_int($product_int(c,b),a))),$product_int(-1,$product_int($product_int($product_int($product_int($product_int(c,c),c),b),a),a))),$product_int(2,d)),$product_int(d,c)),$product_int(-1,$product_int($product_int(d,b),a))),$product_int(c,c)),$product_int(-1,$product_int($product_int($product_int($product_int($product_int(d,c),c),b),a),a))))) != 0),
% 3.48/1.14 inference(cnf_transformation,[],[f24])).
% 3.48/1.14
% 3.48/1.14 cnf(c_87,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(a,a),$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int($sum_int($product_int(a,$product_int(c,b)),$product_int(a,$product_int(b,d))),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d)))))))) = 0),
% 3.48/1.14 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.48/1.14
% 3.48/1.14 cnf(c_88,negated_conjecture,
% 3.48/1.14 ($sum_int($product_int(a,$product_int(b,$product_int(b,$product_int(d,$product_int(d,$product_int(d,1)))))),$product_int(-1,$sum_int(b,$sum_int($product_int(a,c),$sum_int($product_int(a,2),$sum_int($product_int(c,c),$sum_int($product_int(c,b),$sum_int($product_int(c,d),$sum_int($product_int(c,2),$sum_int($product_int(d,2),$sum_int($product_int(a,$product_int(a,-1)),$sum_int($product_int(a,$product_int(c,$product_int(b,-1))),$sum_int($product_int(a,$product_int(b,$product_int(d,-1))),$sum_int($product_int(a,$product_int(a,$product_int(c,$product_int(c,$product_int(c,$product_int(b,-1)))))),$sum_int($product_int(a,$product_int(a,$product_int(c,$product_int(c,$product_int(b,$product_int(d,-1)))))),$product_int(a,$product_int(c,$product_int(b,$product_int(b,$product_int(d,$product_int(d,-1))))))))))))))))))))) != 0),
% 3.48/1.14 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 3.48/1.14
% 3.48/1.14 cnf(c_218,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(a,a),$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int($product_int(a,$sum_int($product_int(c,b),$product_int(b,d))),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d)))))))) = 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_87,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_219,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(a,a),$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int(a,$product_int($sum_int($product_int(c,b),$product_int(b,d)),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d))))))))) = 0),
% 3.48/1.14 inference(theory_normalisation,[status(thm)],[c_218,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_220,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int(a,$sum_int($product_int($sum_int($product_int(c,b),$product_int(b,d)),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d))))),a)))) = 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_219,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_221,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int(a,$sum_int(a,$product_int($sum_int($product_int(c,b),$product_int(b,d)),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d))))))))) = 0),
% 3.48/1.14 inference(theory_normalisation,[status(thm)],[c_220,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_222,plain,
% 3.48/1.14 ($sum_int($product_int(a,$product_int(b,$product_int(b,$product_int(d,$product_int(d,d))))),$sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,a),$sum_int($product_int(a,$product_int(b,c)),$sum_int($product_int(a,$product_int(b,d)),$sum_int($product_int(a,$product_int(a,$product_int(b,$product_int(c,$product_int(c,c))))),$sum_int($product_int(a,$product_int(a,$product_int(b,$product_int(c,$product_int(c,d))))),$product_int(a,$product_int(b,$product_int(b,$product_int(c,$product_int(d,d))))))))))))))))))) != 0),
% 3.48/1.14 inference(smt_theory_normalisation,[status(thm)],[c_88])).
% 3.48/1.14
% 3.48/1.14 cnf(c_223,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,a),$sum_int($product_int(a,$product_int(b,c)),$sum_int($product_int(a,$product_int(b,d)),$sum_int($product_int(a,$product_int(a,$product_int(b,$product_int(c,$product_int(c,d))))),$sum_int($product_int(a,$product_int(b,$product_int(b,$product_int(c,$product_int(d,d))))),$product_int(a,$sum_int($product_int(b,$product_int(b,$product_int(d,$product_int(d,d)))),$product_int(a,$product_int(b,$product_int(c,$product_int(c,c))))))))))))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_222,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_224,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,a),$sum_int($product_int(a,$product_int(b,c)),$sum_int($product_int(a,$product_int(b,d)),$sum_int($product_int(a,$product_int(b,$product_int(b,$product_int(c,$product_int(d,d))))),$product_int(a,$sum_int($sum_int($product_int(b,$product_int(b,$product_int(d,$product_int(d,d)))),$product_int(a,$product_int(b,$product_int(c,$product_int(c,c))))),$product_int(a,$product_int(b,$product_int(c,$product_int(c,d)))))))))))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_223,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_225,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,a),$sum_int($product_int(a,$product_int(b,c)),$sum_int($product_int(a,$product_int(b,d)),$product_int(a,$sum_int($sum_int($product_int(b,$product_int(b,$product_int(d,$product_int(d,d)))),$product_int(a,$sum_int($product_int(b,$product_int(c,$product_int(c,c))),$product_int(b,$product_int(c,$product_int(c,d)))))),$product_int(b,$product_int(b,$product_int(c,$product_int(d,d))))))))))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,
% 3.48/1.14 [status(thm)],
% 3.48/1.14 [c_224,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_226,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,a),$sum_int($product_int(a,$product_int(b,d)),$product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$sum_int($product_int(c,$product_int(c,c)),$product_int(c,$product_int(c,d))))),$product_int(b,$sum_int($product_int(b,$product_int(d,$product_int(d,d))),$product_int(b,$product_int(c,$product_int(d,d)))))),$product_int(b,c))))))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,
% 3.48/1.14 [status(thm)],
% 3.48/1.14 [c_225,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_227,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,a),$product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$sum_int($product_int(c,c),$product_int(c,d))))),$product_int(b,$sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c))),$product_int(b,d)))))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,
% 3.48/1.14 [status(thm)],
% 3.48/1.14 [c_226,c_51,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_228,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-1,$product_int(a,c)),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,c)),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,
% 3.48/1.14 [status(thm)],
% 3.48/1.14 [c_227,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_229,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(b,c)),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)),$product_int(-1,$sum_int($product_int(a,c),$product_int(c,c)))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_228,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_230,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-2,a),$sum_int($product_int(-1,$product_int(c,d)),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)),$product_int(-1,$sum_int($sum_int($product_int(a,c),$product_int(c,c)),$product_int(b,c))))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_229,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_231,plain,
% 3.48/1.14 ($sum_int($product_int(-1,b),$sum_int($product_int(-2,a),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)),$product_int(-1,$sum_int($sum_int($sum_int($product_int(a,c),$product_int(c,c)),$product_int(b,c)),$product_int(c,d)))))))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_230,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_232,plain,
% 3.48/1.14 ($sum_int($product_int(-2,a),$sum_int($product_int(-2,c),$sum_int($product_int(-2,d),$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)),$product_int(-1,$sum_int($sum_int($product_int(a,c),$sum_int($product_int(b,c),$product_int(c,$sum_int(c,d)))),b)))))) != 0),
% 3.48/1.14 inference(ac_demodulation,
% 3.48/1.14 [status(thm)],
% 3.48/1.14 [c_231,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_233,plain,
% 3.48/1.14 ($sum_int($product_int(-2,d),$sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)),$sum_int($product_int(-1,$sum_int($sum_int($product_int(a,c),$sum_int($product_int(b,c),$product_int(c,$sum_int(c,d)))),b)),$product_int(-2,$sum_int(a,c))))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_232,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_234,plain,
% 3.48/1.14 ($sum_int($product_int(a,$sum_int($sum_int($product_int(a,$product_int(b,$product_int(c,$product_int(c,$sum_int(c,d))))),$product_int(b,$sum_int($sum_int($product_int(b,$sum_int($product_int(d,$product_int(d,d)),$product_int(c,$product_int(d,d)))),c),d))),a)),$sum_int($product_int(-1,$sum_int($sum_int($product_int(a,c),$sum_int($product_int(b,c),$product_int(c,$sum_int(c,d)))),b)),$product_int(-2,$sum_int($sum_int(a,c),d)))) != 0),
% 3.48/1.14 inference(ac_demodulation,[status(thm)],[c_233,c_51,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_235,plain,
% 3.48/1.14 ($sum_int($product_int(-2,$sum_int(a,$sum_int(c,d))),$sum_int($product_int(-1,$sum_int(b,$sum_int($product_int(a,c),$sum_int($product_int(c,b),$product_int(c,$sum_int(c,d)))))),$product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int(c,$product_int(c,$product_int(b,$sum_int(c,d))))),$product_int(b,$sum_int(c,$sum_int(d,$product_int(b,$sum_int($product_int(c,$product_int(d,d)),$product_int(d,$product_int(d,d)))))))))))) != 0),
% 3.48/1.14 inference(theory_normalisation,[status(thm)],[c_234,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_236,plain,
% 3.48/1.14 ($sum_int($product_int(-2,$sum_int(a,$sum_int(c,d))),$sum_int($product_int(-1,$sum_int(b,$sum_int($product_int(a,c),$product_int(c,$sum_int(b,$sum_int(c,d)))))),$product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int(c,$product_int(c,$product_int(b,$sum_int(c,d))))),$product_int(b,$sum_int(c,$sum_int(d,$product_int(b,$sum_int($product_int(c,$product_int(d,d)),$product_int(d,$product_int(d,d)))))))))))) != 0),
% 3.48/1.14 inference(demodulation,[status(thm)],[c_235,c_51])).
% 3.48/1.14
% 3.48/1.14 cnf(c_237,plain,
% 3.48/1.14 ($sum_int($product_int(-2,$sum_int(a,$sum_int(c,d))),$sum_int($product_int(-1,$sum_int(b,$sum_int($product_int(a,c),$product_int(c,$sum_int(c,$sum_int(b,d)))))),$product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int(c,$product_int(c,$product_int(b,$sum_int(c,d))))),$product_int(b,$sum_int(c,$sum_int(d,$product_int(b,$sum_int($product_int(c,$product_int(d,d)),$product_int(d,$product_int(d,d)))))))))))) != 0),
% 3.48/1.14 inference(theory_normalisation,[status(thm)],[c_236,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_665,plain,
% 3.48/1.14 ($product_int(X0_3,$product_int(X1_3,X2_3)) = $product_int(X1_3,$product_int(X0_3,X2_3))),
% 3.48/1.14 inference(superposition,[status(thm)],[c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_1136,plain,
% 3.48/1.14 ($sum_int($product_int(X0_3,X1_3),$product_int(X1_3,X2_3)) = $product_int(X1_3,$sum_int(X0_3,X2_3))),
% 3.48/1.14 inference(superposition,[status(thm)],[c_55,c_51])).
% 3.48/1.14
% 3.48/1.14 cnf(c_1144,plain,
% 3.48/1.14 ($sum_int($product_int(X0_3,$product_int(X1_3,X2_3)),$product_int(X1_3,X3_3)) = $product_int(X1_3,$sum_int($product_int(X0_3,X2_3),X3_3))),
% 3.48/1.14 inference(superposition,[status(thm)],[c_665,c_51])).
% 3.48/1.14
% 3.48/1.14 cnf(c_1166,plain,
% 3.48/1.14 ($sum_int($product_int(-2,$sum_int(a,$sum_int(c,d))),$sum_int($product_int(-1,$sum_int(b,$product_int(c,$sum_int(a,$sum_int(c,$sum_int(b,d)))))),$product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int(c,$product_int(c,$product_int(b,$sum_int(c,d))))),$product_int(b,$sum_int(c,$sum_int(d,$product_int(b,$sum_int($product_int(c,$product_int(d,d)),$product_int(d,$product_int(d,d)))))))))))) != 0),
% 3.48/1.14 inference(demodulation,[status(thm)],[c_237,c_1136])).
% 3.48/1.14
% 3.48/1.14 cnf(c_1167,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int(a,$sum_int(a,$product_int($product_int(b,$sum_int(c,d)),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d))))))))) = 0),
% 3.48/1.14 inference(demodulation,[status(thm)],[c_221,c_1136])).
% 3.48/1.14
% 3.48/1.14 cnf(c_1168,plain,
% 3.48/1.14 ($sum_int(b,$sum_int($product_int(-1,$product_int($sum_int(c,2),$sum_int(a,$sum_int(c,$sum_int(b,d))))),$product_int(a,$sum_int(a,$product_int(b,$product_int($sum_int(c,d),$sum_int(1,$sum_int($product_int(a,$product_int(c,c)),$product_int(b,$product_int(d,d)))))))))) = 0),
% 3.48/1.14 inference(theory_normalisation,
% 3.48/1.14 [status(thm)],
% 3.48/1.14 [c_1167,c_65,c_66,c_54,c_55])).
% 3.48/1.14
% 3.48/1.14 cnf(c_1355,plain,
% 3.48/1.14 ($sum_int($product_int(-2,$sum_int(a,$sum_int(c,d))),$sum_int($product_int(-1,$sum_int(b,$product_int(c,$sum_int(a,$sum_int(c,$sum_int(b,d)))))),$product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int(c,$product_int(c,$product_int(b,$sum_int(c,d))))),$product_int(b,$sum_int(c,$sum_int(d,$product_int(b,$product_int(d,$product_int(d,$sum_int(c,d)))))))))))) != 0),
% 3.48/1.14 inference(demodulation,[status(thm)],[c_1166,c_1136,c_1144])).
% 3.48/1.14
% 3.48/1.14 cnf(c_5111,plain,
% 3.48/1.14 ($false),
% 3.48/1.14 inference(smt_impl_just,[status(thm)],[c_1355,c_1168])).
% 3.48/1.14
% 3.48/1.14
% 3.48/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 3.48/1.14
% 3.48/1.14
%------------------------------------------------------------------------------