TSTP Solution File: ARI578_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI578_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 17:41:22 EDT 2023
% Result : Theorem 7.41s 1.66s
% Output : CNFRefutation 7.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ARI578_1 : TPTP v8.1.2. Released v5.1.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 17:46:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.41/1.66 % SZS status Started for theBenchmark.p
% 7.41/1.66 % SZS status Theorem for theBenchmark.p
% 7.41/1.66
% 7.41/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.41/1.66
% 7.41/1.66 ------ iProver source info
% 7.41/1.66
% 7.41/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.41/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.41/1.66 git: non_committed_changes: false
% 7.41/1.66 git: last_make_outside_of_git: false
% 7.41/1.66
% 7.41/1.66 ------ Parsing...
% 7.41/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.41/1.66
% 7.41/1.66 ------ Preprocessing... sup_sim: 1 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
% 7.41/1.66
% 7.41/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.41/1.66
% 7.41/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.41/1.66 ------ Proving...
% 7.41/1.66 ------ Problem Properties
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66 clauses 22
% 7.41/1.66 conjectures 1
% 7.41/1.66 EPR 7
% 7.41/1.66 Horn 18
% 7.41/1.66 unary 16
% 7.41/1.66 binary 2
% 7.41/1.66 lits 33
% 7.41/1.66 lits eq 15
% 7.41/1.66 fd_pure 0
% 7.41/1.66 fd_pseudo 0
% 7.41/1.66 fd_cond 0
% 7.41/1.66 fd_pseudo_cond 2
% 7.41/1.66 AC symbols 2
% 7.41/1.66
% 7.41/1.66 ------ Input Options Time Limit: Unbounded
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66 ------
% 7.41/1.66 Current options:
% 7.41/1.66 ------
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66 ------ Proving...
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66 % SZS status Theorem for theBenchmark.p
% 7.41/1.66
% 7.41/1.66 % SZS output start CNFRefutation for theBenchmark.p
% 7.41/1.66
% 7.41/1.66 tff(f1,conjecture,(
% 7.41/1.66 ? [X0 : $int,X1 : $int] : ($lesseq(12,$sum($product(2,X0),X1)) & $lesseq($sum(X0,X1),9) & $lesseq(2,X1) & $lesseq(2,X0))),
% 7.41/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq_sys_solvable_3)).
% 7.41/1.66
% 7.41/1.66 tff(f2,negated_conjecture,(
% 7.41/1.66 ~? [X0 : $int,X1 : $int] : ($lesseq(12,$sum($product(2,X0),X1)) & $lesseq($sum(X0,X1),9) & $lesseq(2,X1) & $lesseq(2,X0))),
% 7.41/1.66 inference(negated_conjecture,[],[f1])).
% 7.41/1.66
% 7.41/1.66 tff(f3,plain,(
% 7.41/1.66 ~? [X0 : $int,X1 : $int] : (~$less($sum($product(2,X0),X1),12) & ~$less(9,$sum(X0,X1)) & ~$less(X1,2) & ~$less(X0,2))),
% 7.41/1.66 inference(theory_normalization,[],[f2])).
% 7.41/1.66
% 7.41/1.66 tff(f4,plain,(
% 7.41/1.66 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 7.41/1.66 introduced(theory_axiom_138,[])).
% 7.41/1.66
% 7.41/1.66 tff(f5,plain,(
% 7.41/1.66 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 7.41/1.66 introduced(theory_axiom_139,[])).
% 7.41/1.66
% 7.41/1.66 tff(f9,plain,(
% 7.41/1.66 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 7.41/1.66 introduced(theory_axiom_145,[])).
% 7.41/1.66
% 7.41/1.66 tff(f15,plain,(
% 7.41/1.66 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 7.41/1.66 introduced(theory_axiom_138,[])).
% 7.41/1.66
% 7.41/1.66 tff(f16,plain,(
% 7.41/1.66 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 7.41/1.66 introduced(theory_axiom_139,[])).
% 7.41/1.66
% 7.41/1.66 tff(f17,plain,(
% 7.41/1.66 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 7.41/1.66 introduced(theory_axiom_140,[])).
% 7.41/1.66
% 7.41/1.66 tff(f19,plain,(
% 7.41/1.66 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 7.41/1.66 introduced(theory_axiom_153,[])).
% 7.41/1.66
% 7.41/1.66 tff(f22,plain,(
% 7.41/1.66 ! [X0 : $int,X1 : $int] : ($less($sum($product(2,X0),X1),12) | $less(9,$sum(X0,X1)) | $less(X1,2) | $less(X0,2))),
% 7.41/1.66 inference(ennf_transformation,[],[f3])).
% 7.41/1.66
% 7.41/1.66 tff(f23,plain,(
% 7.41/1.66 ( ! [X0 : $int,X1 : $int] : ($less($sum($product(2,X0),X1),12) | $less(9,$sum(X0,X1)) | $less(X1,2) | $less(X0,2)) )),
% 7.41/1.66 inference(cnf_transformation,[],[f22])).
% 7.41/1.66
% 7.41/1.66 cnf(c_51,plain,
% 7.41/1.66 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 7.41/1.66 inference(cnf_transformation,[],[f19])).
% 7.41/1.66
% 7.41/1.66 cnf(c_53,plain,
% 7.41/1.66 ($product_int(X0_3,1) = X0_3),
% 7.41/1.66 inference(cnf_transformation,[],[f17])).
% 7.41/1.66
% 7.41/1.66 cnf(c_54,plain,
% 7.41/1.66 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 7.41/1.66 inference(cnf_transformation,[],[f16])).
% 7.41/1.66
% 7.41/1.66 cnf(c_55,plain,
% 7.41/1.66 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 7.41/1.66 inference(cnf_transformation,[],[f15])).
% 7.41/1.66
% 7.41/1.66 cnf(c_61,plain,
% 7.41/1.66 (~$less_int(X0_3,X0_3)),
% 7.41/1.66 inference(cnf_transformation,[],[f9])).
% 7.41/1.66
% 7.41/1.66 cnf(c_65,plain,
% 7.41/1.66 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 7.41/1.66 inference(cnf_transformation,[],[f5])).
% 7.41/1.66
% 7.41/1.66 cnf(c_66,plain,
% 7.41/1.66 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 7.41/1.66 inference(cnf_transformation,[],[f4])).
% 7.41/1.66
% 7.41/1.66 cnf(c_67,negated_conjecture,
% 7.41/1.66 ($less_int($sum_int($product_int(2,X0_3),X1_3),12)|$less_int(9,$sum_int(X0_3,X1_3))|
% 7.41/1.66 $less_int(X0_3,2)|$less_int(X1_3,2)),
% 7.41/1.66 inference(cnf_transformation,[],[f23])).
% 7.41/1.66
% 7.41/1.66 cnf(c_769,plain,
% 7.41/1.66 ($less_int($sum_int($product_int(X0_3,2),X1_3),12)|$less_int(9,$sum_int(X0_3,X1_3))|
% 7.41/1.66 $less_int(X0_3,2)|$less_int(X1_3,2)),
% 7.41/1.66 inference(superposition,[status(thm)],[c_55,c_67])).
% 7.41/1.66
% 7.41/1.66 cnf(c_1536,plain,
% 7.41/1.66 ($less_int(9,$sum_int(X0_3,$product_int(X0_3,X1_3)))|$less_int($product_int(X0_3,$sum_int(2,X1_3)),12)|
% 7.41/1.66 $less_int($product_int(X0_3,X1_3),2)|$less_int(X0_3,2)),
% 7.41/1.66 inference(superposition,[status(thm)],[c_51,c_769])).
% 7.41/1.66
% 7.41/1.66 cnf(c_1835,plain,
% 7.41/1.66 ($less_int($product_int(X0_3,$sum_int(2,1)),12)|$less_int(9,$sum_int(X0_3,X0_3))|
% 7.41/1.66 $less_int($product_int(X0_3,1),2)|$less_int(X0_3,2)),
% 7.41/1.66 inference(superposition,[status(thm)],[c_53,c_1536])).
% 7.41/1.66
% 7.41/1.66 cnf(c_1842,plain,
% 7.41/1.66 ($less_int($product_int(X0_3,$sum_int(1,2)),12)|$less_int(9,$sum_int(X0_3,X0_3))|
% 7.41/1.66 $less_int($product_int(X0_3,1),2)|$less_int(X0_3,2)),
% 7.41/1.66 inference(theory_normalisation,
% 7.41/1.66 [status(thm)],
% 7.41/1.66 [c_1835,c_65,c_66,c_54,c_55])).
% 7.41/1.66
% 7.41/1.66 cnf(c_1843,plain,
% 7.41/1.66 ($less_int($product_int(X0_3,$sum_int(1,2)),12)|$less_int(9,$sum_int(X0_3,X0_3))|
% 7.41/1.66 $less_int(X0_3,2)),
% 7.41/1.66 inference(light_normalisation,[status(thm)],[c_1842,c_53])).
% 7.41/1.66
% 7.41/1.66 cnf(c_21567,plain,
% 7.41/1.66 ($less_int(X0_3,2)|$less_int(X0_3,4)|$less_int(4,X0_3)),
% 7.41/1.66 inference(smt_theory_normalisation,[status(thm)],[c_1843])).
% 7.41/1.66
% 7.41/1.66 cnf(c_21647,plain,
% 7.41/1.66 ($less_int(4,2)|$less_int(4,4)),
% 7.41/1.66 inference(equality_factoring,[status(thm)],[c_21567])).
% 7.41/1.66
% 7.41/1.66 cnf(c_21649,plain,
% 7.41/1.66 ($less_int(4,2)),
% 7.41/1.66 inference(forward_subsumption_resolution,[status(thm)],[c_21647,c_61])).
% 7.41/1.66
% 7.41/1.66 cnf(c_22424,plain,
% 7.41/1.66 ($false),
% 7.41/1.66 inference(smt_theory_normalisation,[status(thm)],[c_21649])).
% 7.41/1.66
% 7.41/1.66
% 7.41/1.66 % SZS output end CNFRefutation for theBenchmark.p
% 7.41/1.66
% 7.41/1.66
%------------------------------------------------------------------------------