TSTP Solution File: ARI686_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI686_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:41:45 EDT 2023
% Result : Theorem 3.54s 1.13s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI686_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n025.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 : Tue Aug 29 19:00:56 EDT 2023
% 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 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.54/1.13 % SZS status Started for theBenchmark.p
% 3.54/1.13 % SZS status Theorem for theBenchmark.p
% 3.54/1.13
% 3.54/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.54/1.13
% 3.54/1.13 ------ iProver source info
% 3.54/1.13
% 3.54/1.13 git: date: 2023-05-31 18:12:56 +0000
% 3.54/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.54/1.13 git: non_committed_changes: false
% 3.54/1.13 git: last_make_outside_of_git: false
% 3.54/1.13
% 3.54/1.13 ------ Parsing...
% 3.54/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.54/1.13
% 3.54/1.13 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.54/1.13
% 3.54/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.54/1.13
% 3.54/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.54/1.13 ------ Proving...
% 3.54/1.13 ------ Problem Properties
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 clauses 32
% 3.54/1.13 conjectures 2
% 3.54/1.13 EPR 15
% 3.54/1.13 Horn 29
% 3.54/1.13 unary 27
% 3.54/1.13 binary 2
% 3.54/1.13 lits 40
% 3.54/1.13 lits eq 18
% 3.54/1.13 fd_pure 0
% 3.54/1.13 fd_pseudo 0
% 3.54/1.13 fd_cond 0
% 3.54/1.13 fd_pseudo_cond 2
% 3.54/1.13 AC symbols 2
% 3.54/1.13
% 3.54/1.13 ------ Input Options Time Limit: Unbounded
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 ------
% 3.54/1.13 Current options:
% 3.54/1.13 ------
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 ------ Proving...
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 % SZS status Theorem for theBenchmark.p
% 3.54/1.13
% 3.54/1.13 % SZS output start CNFRefutation for theBenchmark.p
% 3.54/1.13
% 3.54/1.13 tff(f1,axiom,(
% 3.54/1.13 $product($product(5,a),a) = $product(2,a)),
% 3.54/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)).
% 3.54/1.13
% 3.54/1.13 tff(f2,axiom,(
% 3.54/1.13 $product(a,$sum(a,$product(-1,$product($product(2,a),$sum(a,$product($product(3,a),$sum(a,$product(-1,$product($product(4,a),$sum(a,$product($product(5,a),$sum(a,$product(-1,$product($product(6,a),$sum(a,$product($product(7,a),$sum(a,$product(-1,$product($product(8,a),$sum(9,a)))))))))))))))))))) = 0),
% 3.54/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2)).
% 3.54/1.13
% 3.54/1.13 tff(f3,conjecture,(
% 3.54/1.13 0 = $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a)))))),
% 3.54/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.54/1.13
% 3.54/1.13 tff(f4,negated_conjecture,(
% 3.54/1.13 ~0 = $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a)))))),
% 3.54/1.13 inference(negated_conjecture,[],[f3])).
% 3.54/1.13
% 3.54/1.13 tff(f5,plain,(
% 3.54/1.13 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.54/1.13 introduced(theory_axiom_138,[])).
% 3.54/1.13
% 3.54/1.13 tff(f6,plain,(
% 3.54/1.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.54/1.13 introduced(theory_axiom_139,[])).
% 3.54/1.13
% 3.54/1.13 tff(f16,plain,(
% 3.54/1.13 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.54/1.13 introduced(theory_axiom_138,[])).
% 3.54/1.13
% 3.54/1.13 tff(f17,plain,(
% 3.54/1.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.54/1.13 introduced(theory_axiom_139,[])).
% 3.54/1.13
% 3.54/1.13 tff(f19,plain,(
% 3.54/1.13 ( ! [X0 : $int] : (0 = $product(X0,0)) )),
% 3.54/1.13 introduced(theory_axiom_152,[])).
% 3.54/1.13
% 3.54/1.13 tff(f20,plain,(
% 3.54/1.13 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.54/1.13 introduced(theory_axiom_153,[])).
% 3.54/1.13
% 3.54/1.13 tff(f21,plain,(
% 3.54/1.13 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 3.54/1.13 introduced(theory_axiom_154,[])).
% 3.54/1.13
% 3.54/1.13 tff(f23,plain,(
% 3.54/1.13 0 != $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a)))))),
% 3.54/1.13 inference(flattening,[],[f4])).
% 3.54/1.13
% 3.54/1.13 tff(f24,plain,(
% 3.54/1.13 $product($product(5,a),a) = $product(2,a)),
% 3.54/1.13 inference(cnf_transformation,[],[f1])).
% 3.54/1.13
% 3.54/1.13 tff(f25,plain,(
% 3.54/1.13 $product(a,$sum(a,$product(-1,$product($product(2,a),$sum(a,$product($product(3,a),$sum(a,$product(-1,$product($product(4,a),$sum(a,$product($product(5,a),$sum(a,$product(-1,$product($product(6,a),$sum(a,$product($product(7,a),$sum(a,$product(-1,$product($product(8,a),$sum(9,a)))))))))))))))))))) = 0),
% 3.54/1.13 inference(cnf_transformation,[],[f2])).
% 3.54/1.13
% 3.54/1.13 tff(f26,plain,(
% 3.54/1.13 0 != $sum($product(2,$product($product($product($product($product($product($product(a,a),a),a),a),a),a),a)),$product(-1,$sum($sum($sum($sum($sum($product(612,a),$product(-1,$product(a,a))),$product(-2,$product($product(a,a),a))),$product(2,$product($product($product($product(a,a),a),a),a))),$product(-2,$product($product($product($product($product(a,a),a),a),a),a))),$product(-2,$product($product($product($product($product($product(a,a),a),a),a),a),a)))))),
% 3.54/1.13 inference(cnf_transformation,[],[f23])).
% 3.54/1.13
% 3.54/1.13 tff(f27,plain,(
% 3.54/1.13 ( ! [X2 : $int,X3 : $int,X0 : $int] : (0 = X0 | $product(X0,X2) != $product(X0,X3) | X2 = X3) )),
% 3.54/1.13 inference(equality_resolution,[],[f21])).
% 3.54/1.13
% 3.54/1.13 cnf(c_50,plain,
% 3.54/1.13 ($product_int(X0_3,X1_3) != $product_int(X0_3,X2_3)|X0_3 = 0|X1_3 = X2_3),
% 3.54/1.13 inference(cnf_transformation,[],[f27])).
% 3.54/1.13
% 3.54/1.13 cnf(c_51,plain,
% 3.54/1.13 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.54/1.13 inference(cnf_transformation,[],[f20])).
% 3.54/1.13
% 3.54/1.13 cnf(c_52,plain,
% 3.54/1.13 ($product_int(X0_3,0) = 0),
% 3.54/1.13 inference(cnf_transformation,[],[f19])).
% 3.54/1.13
% 3.54/1.13 cnf(c_54,plain,
% 3.54/1.13 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.54/1.13 inference(cnf_transformation,[],[f17])).
% 3.54/1.13
% 3.54/1.13 cnf(c_55,plain,
% 3.54/1.13 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.54/1.13 inference(cnf_transformation,[],[f16])).
% 3.54/1.13
% 3.54/1.13 cnf(c_65,plain,
% 3.54/1.13 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.54/1.13 inference(cnf_transformation,[],[f6])).
% 3.54/1.13
% 3.54/1.13 cnf(c_66,plain,
% 3.54/1.13 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.54/1.13 inference(cnf_transformation,[],[f5])).
% 3.54/1.13
% 3.54/1.13 cnf(c_67,plain,
% 3.54/1.13 ($product_int($product_int(5,a),a) = $product_int(2,a)),
% 3.54/1.13 inference(cnf_transformation,[],[f24])).
% 3.54/1.13
% 3.54/1.13 cnf(c_68,plain,
% 3.54/1.13 ($product_int(a,$sum_int(a,$product_int(-1,$product_int($product_int(2,a),$sum_int(a,$product_int($product_int(3,a),$sum_int(a,$product_int(-1,$product_int($product_int(4,a),$sum_int(a,$product_int($product_int(5,a),$sum_int(a,$product_int(-1,$product_int($product_int(6,a),$sum_int(a,$product_int($product_int(7,a),$sum_int(a,$product_int(-1,$product_int($product_int(8,a),$sum_int(9,a)))))))))))))))))))) = 0),
% 3.54/1.13 inference(cnf_transformation,[],[f25])).
% 3.54/1.13
% 3.54/1.13 cnf(c_69,negated_conjecture,
% 3.54/1.13 ($sum_int($product_int(2,$product_int($product_int($product_int($product_int($product_int($product_int($product_int(a,a),a),a),a),a),a),a)),$product_int(-1,$sum_int($sum_int($sum_int($sum_int($sum_int($product_int(612,a),$product_int(-1,$product_int(a,a))),$product_int(-2,$product_int($product_int(a,a),a))),$product_int(2,$product_int($product_int($product_int($product_int(a,a),a),a),a))),$product_int(-2,$product_int($product_int($product_int($product_int($product_int(a,a),a),a),a),a))),$product_int(-2,$product_int($product_int($product_int($product_int($product_int($product_int(a,a),a),a),a),a),a))))) != 0),
% 3.54/1.13 inference(cnf_transformation,[],[f26])).
% 3.54/1.13
% 3.54/1.13 cnf(c_97,plain,
% 3.54/1.13 ($product_int(a,$product_int(a,5)) = $product_int(a,2)),
% 3.54/1.13 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.54/1.13
% 3.54/1.13 cnf(c_98,plain,
% 3.54/1.13 ($product_int(a,$sum_int(a,$product_int(a,$product_int(-1,$product_int(2,$sum_int(a,$product_int(a,$product_int(3,$sum_int(a,$product_int(a,$product_int(-1,$product_int(4,$sum_int(a,$product_int(a,$product_int(5,$sum_int(a,$product_int(a,$product_int(-1,$product_int(6,$sum_int(a,$product_int(a,$product_int(7,$sum_int(a,$product_int(a,$product_int(-1,$product_int(8,$sum_int(a,9))))))))))))))))))))))))))) = 0),
% 3.54/1.13 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 3.54/1.13
% 3.54/1.13 cnf(c_99,negated_conjecture,
% 3.54/1.13 ($sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,2)))))))),$product_int(-1,$sum_int($product_int(a,$product_int(a,-1)),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,2))))),$sum_int($product_int(a,$product_int(a,$product_int(a,-2))),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,-2)))))),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,-2))))))),$product_int(a,612)))))))) != 0),
% 3.54/1.13 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 3.54/1.13
% 3.54/1.13 cnf(c_259,plain,
% 3.54/1.13 ($sum_int($product_int(2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))))))),$sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(2,$product_int(a,$product_int(a,a))),$sum_int($product_int(2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))))),$sum_int($product_int(2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))))),$product_int(-612,a))))))) != 0),
% 3.54/1.13 inference(smt_theory_normalisation,[status(thm)],[c_99])).
% 3.54/1.13
% 3.54/1.13 cnf(c_260,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(2,$product_int(a,$product_int(a,a))),$sum_int($product_int(2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))))),$sum_int($product_int(-612,a),$product_int(2,$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))))),$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))))))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,[status(thm)],[c_259,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_261,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(2,$product_int(a,$product_int(a,a))),$sum_int($product_int(-612,a),$product_int(2,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))))),$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))))),$product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_260,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_262,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(-612,a),$product_int(2,$sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))))),$product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))))),$product_int(a,$product_int(a,a))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_261,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_263,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(-612,a),$product_int(2,$product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,a)))),$product_int(a,$product_int(a,$product_int(a,a))))),$product_int(a,$product_int(a,$product_int(a,a))))),$product_int(a,a))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_262,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_264,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(-612,a),$product_int(2,$product_int(a,$product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,$product_int(a,a))),$product_int(a,$product_int(a,a)))),$product_int(a,$product_int(a,a)))),a))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_263,c_51,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_265,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(-612,a),$product_int(2,$product_int(a,$product_int(a,$sum_int($product_int(a,$product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,$product_int(a,a)),$product_int(a,a))),$product_int(a,a)))),a))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_264,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_266,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(-2,$product_int(a,$product_int(a,$product_int(a,$product_int(a,a))))),$sum_int($product_int(-612,a),$product_int(2,$product_int(a,$product_int(a,$sum_int($product_int(a,$product_int(a,$product_int(a,$sum_int($product_int(a,$sum_int($product_int(a,a),a)),a)))),a))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_265,c_51,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_267,plain,
% 3.54/1.13 ($sum_int($product_int(a,a),$sum_int($product_int(a,$product_int(a,$product_int($sum_int(a,$product_int(a,$product_int(a,$product_int(a,$sum_int(a,$product_int(a,$sum_int(a,$product_int(a,a)))))))),2))),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,$product_int(a,-2))))),$product_int(a,-612)))) != 0),
% 3.54/1.13 inference(theory_normalisation,[status(thm)],[c_266,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_268,plain,
% 3.54/1.13 ($product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int($sum_int(a,$product_int(a,$product_int(a,$product_int(a,$sum_int(a,$product_int(a,$sum_int(a,$product_int(a,a)))))))),2)),$sum_int($product_int(a,$product_int(a,$product_int(a,$product_int(a,-2)))),-612)))) != 0),
% 3.54/1.13 inference(demodulation,[status(thm)],[c_267,c_51])).
% 3.54/1.13
% 3.54/1.13 cnf(c_425,plain,
% 3.54/1.13 ($product_int(a,$sum_int(a,$sum_int(-612,$product_int(a,$sum_int($product_int($sum_int(a,$product_int(a,$product_int(a,$product_int(a,$sum_int(a,$product_int(a,$sum_int(a,$product_int(a,a)))))))),2),$product_int(a,$product_int(a,$product_int(a,-2)))))))) != 0),
% 3.54/1.13 inference(ac_demodulation,[status(thm)],[c_268,c_51,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_426,plain,
% 3.54/1.13 ($product_int(a,$sum_int(a,$sum_int($product_int(a,$sum_int($product_int($sum_int(a,$product_int(a,$product_int(a,$product_int(a,$sum_int(a,$product_int(a,$sum_int(a,$product_int(a,a)))))))),2),$product_int(a,$product_int(a,$product_int(a,-2))))),-612))) != 0),
% 3.54/1.13 inference(theory_normalisation,[status(thm)],[c_425,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1386,plain,
% 3.54/1.13 ($product_int(a,X0_3) != $product_int(a,2)|$product_int(a,5) = X0_3|
% 3.54/1.13 a = 0),
% 3.54/1.13 inference(superposition,[status(thm)],[c_97,c_50])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1460,plain,
% 3.54/1.13 ($sum_int($product_int(a,2),$product_int(a,X0_3)) = $product_int(a,$sum_int($product_int(a,5),X0_3))),
% 3.54/1.13 inference(superposition,[status(thm)],[c_97,c_51])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1461,plain,
% 3.54/1.13 ($product_int(a,$sum_int($sum_int(a,$product_int(a,$product_int(-1,$product_int(2,$sum_int(a,$product_int(a,$product_int(3,$sum_int(a,$product_int(a,$product_int(-1,$product_int(4,$sum_int(a,$product_int(a,$product_int(5,$sum_int(a,$product_int(a,$product_int(-1,$product_int(6,$sum_int(a,$product_int(a,$product_int(7,$sum_int(a,$product_int(a,$product_int(-1,$product_int(8,$sum_int(a,9)))))))))))))))))))))))))),X0_3)) = $sum_int(0,$product_int(a,X0_3))),
% 3.54/1.13 inference(superposition,[status(thm)],[c_98,c_51])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1464,plain,
% 3.54/1.13 ($sum_int(0,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(0,X1_3))),
% 3.54/1.13 inference(superposition,[status(thm)],[c_52,c_51])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1475,plain,
% 3.54/1.13 ($product_int(a,$sum_int($product_int(a,5),X0_3)) = $product_int(a,$sum_int(2,X0_3))),
% 3.54/1.13 inference(demodulation,[status(thm)],[c_1460,c_51])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1486,plain,
% 3.54/1.13 ($product_int(a,$sum_int($sum_int(a,$product_int(a,$product_int(-1,$product_int(2,$sum_int(a,$product_int(a,$product_int(3,$sum_int(a,$product_int(a,$product_int(-1,$product_int(4,$sum_int(a,$product_int(a,$product_int(5,$sum_int(a,$product_int(a,$product_int(-1,$product_int(6,$sum_int(a,$product_int(a,$product_int(7,$sum_int(a,$product_int(a,$product_int(-1,$product_int(8,$sum_int(a,9)))))))))))))))))))))))))),X0_3)) = $product_int(a,$sum_int(0,X0_3))),
% 3.54/1.13 inference(demodulation,[status(thm)],[c_1461,c_1464])).
% 3.54/1.13
% 3.54/1.13 cnf(c_1487,plain,
% 3.54/1.13 ($product_int(a,$sum_int(a,$sum_int($product_int(a,$product_int(-1,$product_int(2,$sum_int(a,$product_int(a,$product_int(3,$sum_int(a,$product_int(a,$product_int(-1,$product_int(4,$sum_int(a,$product_int(a,$product_int(5,$sum_int(a,$product_int(a,$product_int(-1,$product_int(6,$sum_int(a,$product_int(a,$product_int(7,$sum_int(a,$product_int(a,$product_int(-1,$product_int(8,$sum_int(a,9))))))))))))))))))))))))),X0_3))) = $product_int(a,$sum_int(0,X0_3))),
% 3.54/1.13 inference(theory_normalisation,
% 3.54/1.13 [status(thm)],
% 3.54/1.13 [c_1486,c_65,c_66,c_54,c_55])).
% 3.54/1.13
% 3.54/1.13 cnf(c_2302,plain,
% 3.54/1.13 ($product_int(a,5) = 2|a = 0),
% 3.54/1.13 inference(equality_resolution,[status(thm)],[c_1386])).
% 3.54/1.13
% 3.54/1.13 cnf(c_2393,plain,
% 3.54/1.13 ($false),
% 3.54/1.13 inference(smt_impl_just,[status(thm)],[c_1487,c_1475,c_2302,c_426])).
% 3.54/1.13
% 3.54/1.13
% 3.54/1.13 % SZS output end CNFRefutation for theBenchmark.p
% 3.54/1.13
% 3.54/1.13
%------------------------------------------------------------------------------