0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox2/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox2/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox2/solver/bin/externals/iprover 0.03/0.25 % Computer : n008.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 04:27:25 CDT 2018 0.03/0.25 % CPUTime : 2.79/1.54 % [INFO] Running in sequential loop mode. 3.56/1.77 % [CONFIG] Using configuration: timeout(300) with strategy 3.81/1.85 % [INFO] iprover registered as external prover. 3.81/1.85 % [INFO] e registered as external prover. 3.81/1.85 % [INFO] cvc4 registered as external prover. 3.81/1.86 % [INFO] Parsing finished. Scanning for conjecture ... 4.12/1.96 % [INFO] Found a conjecture and 91 axioms. Running axiom selection ... 4.34/2.06 % [INFO] Axiom selection finished. Selected 90 axioms (removed 1 axioms). 4.84/2.19 % [INFO] Type checking passed. Searching for refutation ... 9.26/3.77 % [INFO] Killing All external provers ... 9.26/3.77 % Time passed: 3431ms 9.26/3.77 % Effective reasoning time: 2228ms 9.26/3.77 % Solved by strategy 9.26/3.78 % Axioms used in derivation (90): sel3_update_2, gt_998_4, sel2_update_2, succ_plus_5_l, lt_gt, gt_998_1, gt_5_tptp_minus_1, succ_plus_3_r, gt_4_3, transitivity_gt, matrix_symm_inv, matrix_symm_trans, finite_domain_1, gt_5_0, const_array2_select, gt_2_tptp_minus_1, sel3_update_3, leq_geq, gt_1_0, leq_gt2, gt_5_4, gt_998_5, succ_plus_1_l, gt_3_2, matrix_symm_add, leq_succ_gt, finite_domain_5, pred_minus_1, successor_3, gt_3_tptp_minus_1, matrix_symm_update_diagonal, gt_998_0, sel2_update_1, gt_4_2, matrix_symm_sub, gt_5_3, successor_4, gt_succ, succ_plus_4_l, reflexivity_leq, successor_2, leq_gt1, gt_1_tptp_minus_1, finite_domain_2, matrix_symm_aba1, finite_domain_4, matrix_symm_aba2, succ_tptp_minus_1, succ_plus_5_r, gt_0_tptp_minus_1, gt_998_2, leq_succ_succ, sum_plus_base_float, succ_plus_2_l, gt_3_1, gt_4_1, gt_2_0, gt_5_2, const_array1_select, defuse, leq_gt_pred, matrix_symm_joseph_update, succ_pred, totality, transitivity_leq, finite_domain_3, uniform_int_rand_ranges_lo, sel3_update_1, successor_1, sum_plus_base, irreflexivity_gt, successor_5, gt_3_0, sel2_update_3, pred_succ, succ_plus_1_r, succ_plus_3_l, gt_998_3, gt_4_tptp_minus_1, succ_plus_4_r, gt_4_0, succ_plus_2_r, leq_succ_gt_equiv, uniform_int_rand_ranges_hi, gt_2_1, gt_5_1, gt_998_tptp_minus_1, finite_domain_0, leq_succ, leq_minus 9.26/3.78 % No. of inferences in proof: 184 9.26/3.78 % No. of processed clauses: 1 9.26/3.78 % No. of generated clauses: 0 9.26/3.78 % No. of forward subsumed clauses: 0 9.26/3.78 % No. of backward subsumed clauses: 0 9.26/3.78 % No. of ground rewrite rules in store: 0 9.26/3.78 % No. of non-ground rewrite rules in store: 0 9.26/3.78 % No. of positive (non-rewrite) units in store: 0 9.26/3.78 % No. of negative (non-rewrite) units in store: 1 9.26/3.78 % No. of choice functions detected: 0 9.26/3.78 % No. of choice instantiations: 0 9.26/3.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3431 ms resp. 2228 ms w/o parsing 9.56/3.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 9.56/3.87 thf(n0_type, type, n0: $i). 9.56/3.87 thf(leq_type, type, leq: ($i > ($i > $o))). 9.56/3.87 thf(n2_type, type, n2: $i). 9.56/3.87 thf(use_type, type, use: $i). 9.56/3.87 thf(rho_defuse_type, type, rho_defuse: $i). 9.56/3.87 thf(a_select2_type, type, a_select2: ($i > ($i > $i))). 9.56/3.87 thf(sigma_defuse_type, type, sigma_defuse: $i). 9.56/3.87 thf(n4_type, type, n4: $i). 9.56/3.87 thf(n5_type, type, n5: $i). 9.56/3.87 thf(u_defuse_type, type, u_defuse: $i). 9.56/3.87 thf(a_select3_type, type, a_select3: ($i > ($i > ($i > $i)))). 9.56/3.87 thf(n1_type, type, n1: $i). 9.56/3.87 thf(xinit_defuse_type, type, xinit_defuse: $i). 9.56/3.87 thf(xinit_mean_defuse_type, type, xinit_mean_defuse: $i). 9.56/3.87 thf(xinit_noise_defuse_type, type, xinit_noise_defuse: $i). 9.56/3.87 thf(n998_type, type, n998: $i). 9.56/3.87 thf(z_defuse_type, type, z_defuse: $i). 9.56/3.87 thf(n3_type, type, n3: $i). 9.56/3.87 thf(gt_type, type, gt: ($i > ($i > $o))). 9.56/3.87 thf(lt_type, type, lt: ($i > ($i > $o))). 9.56/3.87 thf(succ_type, type, succ: ($i > $i)). 9.56/3.87 thf(pred_type, type, pred: ($i > $i)). 9.56/3.87 thf(tptp_update2_type, type, tptp_update2: ($i > ($i > ($i > $i)))). 9.56/3.87 thf(tptp_madd_type, type, tptp_madd: ($i > ($i > $i))). 9.56/3.87 thf(minus_type, type, minus: ($i > ($i > $i))). 9.56/3.87 thf(tptp_msub_type, type, tptp_msub: ($i > ($i > $i))). 9.56/3.87 thf(tptp_minus_1_type, type, tptp_minus_1: $i). 9.56/3.87 thf(plus_type, type, plus: ($i > ($i > $i))). 9.56/3.87 thf(tptp_float_0_0_type, type, tptp_float_0_0: $i). 9.56/3.87 thf(sum_type, type, sum: ($i > ($i > ($i > $i)))). 9.56/3.87 thf(def_type, type, def: $i). 9.56/3.87 thf(tptp_update3_type, type, tptp_update3: ($i > ($i > ($i > ($i > $i))))). 9.56/3.87 thf(dim_type, type, dim: ($i > ($i > $i))). 9.56/3.87 thf(tptp_const_array2_type, type, tptp_const_array2: ($i > ($i > ($i > $i)))). 9.56/3.87 thf(tptp_const_array1_type, type, tptp_const_array1: ($i > ($i > $i))). 9.56/3.87 thf(uniform_int_rnd_type, type, uniform_int_rnd: ($i > ($i > $i))). 9.56/3.87 thf(trans_type, type, trans: ($i > $i)). 9.56/3.87 thf(tptp_mmul_type, type, tptp_mmul: ($i > ($i > $i))). 9.56/3.87 thf(geq_type, type, geq: ($i > ($i > $o))). 9.56/3.87 thf(inv_type, type, inv: ($i > $i)). 9.56/3.87 thf(91,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i,E:$i,F:$i]: (((leq @ n0 @ C) & (leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ B) & (leq @ D @ B) & (leq @ C @ B)) => ((a_select3 @ (tptp_update3 @ A @ E @ E @ F) @ C @ D) = (a_select3 @ (tptp_update3 @ A @ E @ E @ F) @ D @ C)))) <= (! [C:$i,D:$i]: (((leq @ n0 @ D) & (leq @ D @ B) & (leq @ C @ B) & (leq @ n0 @ C)) => ((a_select3 @ A @ C @ D) = (a_select3 @ A @ D @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_update_diagonal)). 9.56/3.87 thf(479,plain,((! [A:$i,B:$i]: (! [C:$i,D:$i,E:$i,F:$i]: (((leq @ n0 @ C) & (leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ B) & (leq @ D @ B) & (leq @ C @ B)) => ((a_select3 @ (tptp_update3 @ A @ E @ E @ F) @ C @ D) = (a_select3 @ (tptp_update3 @ A @ E @ E @ F) @ D @ C))) | ~ (! [C:$i,D:$i]: (((leq @ n0 @ D) & (leq @ D @ B) & (leq @ C @ B) & (leq @ n0 @ C)) => ((a_select3 @ A @ C @ D) = (a_select3 @ A @ D @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 9.56/3.87 thf(27,axiom,((! [A:$i]: (tptp_float_0_0 = (sum @ n0 @ tptp_minus_1 @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float)). 9.56/3.87 thf(249,plain,((! [A:$i]: (tptp_float_0_0 = (sum @ n0 @ tptp_minus_1 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 9.56/3.87 thf(20,axiom,((gt @ n4 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1)). 9.56/3.87 thf(234,plain,((gt @ n4 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 9.56/3.87 thf(75,axiom,(((succ @ n0) = n1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1)). 9.56/3.87 thf(408,plain,(((succ @ n0) = n1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 9.56/3.87 thf(7,axiom,((! [A:$i]: (gt @ (succ @ A) @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ)). 9.56/3.87 thf(170,plain,((! [A:$i]: (gt @ (succ @ A) @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 9.56/3.87 thf(37,axiom,((! [A:$i]: ((plus @ n4 @ A) = (succ @ (succ @ (succ @ (succ @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_l)). 9.56/3.87 thf(276,plain,((! [A:$i]: ((plus @ n4 @ A) = (succ @ (succ @ (succ @ (succ @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 9.56/3.87 thf(54,axiom,((! [A:$i,B:$i]: ((leq @ (succ @ A) @ (succ @ B)) <=> (leq @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_succ)). 9.56/3.87 thf(308,plain,((! [A:$i,B:$i]: (((leq @ (succ @ A) @ (succ @ B)) => (leq @ A @ B)) & ((leq @ A @ B) => (leq @ (succ @ A) @ (succ @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 9.56/3.87 thf(34,axiom,((gt @ n3 @ n1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1)). 9.56/3.87 thf(269,plain,((gt @ n3 @ n1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 9.56/3.87 thf(69,axiom,((! [A:$i]: ((sum @ n0 @ tptp_minus_1 @ A) = n0))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base)). 9.56/3.87 thf(384,plain,((! [A:$i]: ((sum @ n0 @ tptp_minus_1 @ A) = n0))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 9.56/3.87 thf(73,axiom,((gt @ n4 @ n0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0)). 9.56/3.87 thf(404,plain,((gt @ n4 @ n0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 9.56/3.87 thf(3,axiom,((! [A:$i,B:$i]: ((A = B) | (gt @ B @ A) | (gt @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality)). 9.56/3.87 thf(157,plain,((! [A:$i,B:$i]: ((A = B) | (gt @ B @ A) | (gt @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 9.56/3.87 thf(1,conjecture,(((! [A:$i]: (((leq @ n0 @ A) & (leq @ A @ n2)) => (use = (a_select2 @ rho_defuse @ A)))) <= (((a_select2 @ rho_defuse @ n0) = use) & (use = (a_select2 @ rho_defuse @ n2)) & (use = (a_select2 @ sigma_defuse @ n2)) & (use = (a_select2 @ sigma_defuse @ n4)) & (use = (a_select2 @ sigma_defuse @ n5)) & ((a_select3 @ u_defuse @ n0 @ n0) = use) & ((a_select3 @ u_defuse @ n1 @ n0) = use) & (use = (a_select3 @ u_defuse @ n2 @ n0)) & ((a_select2 @ xinit_defuse @ n4) = use) & ((a_select2 @ xinit_mean_defuse @ n4) = use) & ((a_select2 @ xinit_mean_defuse @ n5) = use) & ((a_select2 @ xinit_noise_defuse @ n0) = use) & ! [A:$i,B:$i]: (((leq @ n0 @ A) & (leq @ A @ n2) & (leq @ B @ n998) & (leq @ n0 @ B)) => ((a_select3 @ z_defuse @ A @ B) = use)) & ! [A:$i,B:$i]: (((leq @ n0 @ A) & (leq @ n0 @ B) & (leq @ B @ n998) & (leq @ A @ n2)) => (use = (a_select3 @ u_defuse @ A @ B))) & ((a_select2 @ xinit_noise_defuse @ n5) = use) & ((a_select2 @ xinit_noise_defuse @ n4) = use) & (use = (a_select2 @ xinit_noise_defuse @ n3)) & ((a_select2 @ xinit_noise_defuse @ n2) = use) & (use = (a_select2 @ xinit_noise_defuse @ n1)) & ((a_select2 @ xinit_mean_defuse @ n3) = use) & (use = (a_select2 @ xinit_mean_defuse @ n2)) & (use = (a_select2 @ xinit_mean_defuse @ n1)) & (use = (a_select2 @ xinit_mean_defuse @ n0)) & (use = (a_select2 @ xinit_defuse @ n5)) & ((a_select2 @ xinit_defuse @ n3) = use) & (use = (a_select2 @ sigma_defuse @ n3)) & (use = (a_select2 @ sigma_defuse @ n1)) & ((a_select2 @ sigma_defuse @ n0) = use) & ((a_select2 @ rho_defuse @ n1) = use)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015)). 9.56/3.87 thf(2,negated_conjecture,((~ ((! [A:$i]: (((leq @ n0 @ A) & (leq @ A @ n2)) => (use = (a_select2 @ rho_defuse @ A)))) <= (((a_select2 @ rho_defuse @ n0) = use) & (use = (a_select2 @ rho_defuse @ n2)) & (use = (a_select2 @ sigma_defuse @ n2)) & (use = (a_select2 @ sigma_defuse @ n4)) & (use = (a_select2 @ sigma_defuse @ n5)) & ((a_select3 @ u_defuse @ n0 @ n0) = use) & ((a_select3 @ u_defuse @ n1 @ n0) = use) & (use = (a_select3 @ u_defuse @ n2 @ n0)) & ((a_select2 @ xinit_defuse @ n4) = use) & ((a_select2 @ xinit_mean_defuse @ n4) = use) & ((a_select2 @ xinit_mean_defuse @ n5) = use) & ((a_select2 @ xinit_noise_defuse @ n0) = use) & ! [A:$i,B:$i]: (((leq @ n0 @ A) & (leq @ A @ n2) & (leq @ B @ n998) & (leq @ n0 @ B)) => ((a_select3 @ z_defuse @ A @ B) = use)) & ! [A:$i,B:$i]: (((leq @ n0 @ A) & (leq @ n0 @ B) & (leq @ B @ n998) & (leq @ A @ n2)) => (use = (a_select3 @ u_defuse @ A @ B))) & ((a_select2 @ xinit_noise_defuse @ n5) = use) & ((a_select2 @ xinit_noise_defuse @ n4) = use) & (use = (a_select2 @ xinit_noise_defuse @ n3)) & ((a_select2 @ xinit_noise_defuse @ n2) = use) & (use = (a_select2 @ xinit_noise_defuse @ n1)) & ((a_select2 @ xinit_mean_defuse @ n3) = use) & (use = (a_select2 @ xinit_mean_defuse @ n2)) & (use = (a_select2 @ xinit_mean_defuse @ n1)) & (use = (a_select2 @ xinit_mean_defuse @ n0)) & (use = (a_select2 @ xinit_defuse @ n5)) & ((a_select2 @ xinit_defuse @ n3) = use) & (use = (a_select2 @ sigma_defuse @ n3)) & (use = (a_select2 @ sigma_defuse @ n1)) & ((a_select2 @ sigma_defuse @ n0) = use) & ((a_select2 @ rho_defuse @ n1) = use))))),inference(neg_conjecture,[status(cth)],[1])). 9.56/3.87 thf(93,plain,((~ (! [A:$i]: (((leq @ n0 @ A) & (leq @ A @ n2)) => (use = (a_select2 @ rho_defuse @ A))) | ~ (((a_select2 @ rho_defuse @ n0) = use) & (use = (a_select2 @ rho_defuse @ n2)) & (use = (a_select2 @ sigma_defuse @ n2)) & (use = (a_select2 @ sigma_defuse @ n4)) & (use = (a_select2 @ sigma_defuse @ n5)) & ((a_select3 @ u_defuse @ n0 @ n0) = use) & ((a_select3 @ u_defuse @ n1 @ n0) = use) & (use = (a_select3 @ u_defuse @ n2 @ n0)) & ((a_select2 @ xinit_defuse @ n4) = use) & ((a_select2 @ xinit_mean_defuse @ n4) = use) & ((a_select2 @ xinit_mean_defuse @ n5) = use) & ((a_select2 @ xinit_noise_defuse @ n0) = use) & ! [A:$i,B:$i]: (((leq @ n0 @ A) & (leq @ A @ n2) & (leq @ B @ n998) & (leq @ n0 @ B)) => ((a_select3 @ z_defuse @ A @ B) = use)) & ! [A:$i,B:$i]: (((leq @ n0 @ A) & (leq @ n0 @ B) & (leq @ B @ n998) & (leq @ A @ n2)) => (use = (a_select3 @ u_defuse @ A @ B))) & ((a_select2 @ xinit_noise_defuse @ n5) = use) & ((a_select2 @ xinit_noise_defuse @ n4) = use) & (use = (a_select2 @ xinit_noise_defuse @ n3)) & ((a_select2 @ xinit_noise_defuse @ n2) = use) & (use = (a_select2 @ xinit_noise_defuse @ n1)) & ((a_select2 @ xinit_mean_defuse @ n3) = use) & (use = (a_select2 @ xinit_mean_defuse @ n2)) & (use = (a_select2 @ xinit_mean_defuse @ n1)) & (use = (a_select2 @ xinit_mean_defuse @ n0)) & (use = (a_select2 @ xinit_defuse @ n5)) & ((a_select2 @ xinit_defuse @ n3) = use) & (use = (a_select2 @ sigma_defuse @ n3)) & (use = (a_select2 @ sigma_defuse @ n1)) & ((a_select2 @ sigma_defuse @ n0) = use) & ((a_select2 @ rho_defuse @ n1) = use))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 9.56/3.87 thf(11,axiom,((gt @ n4 @ n2)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2)). 9.56/3.87 thf(179,plain,((gt @ n4 @ n2)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 9.56/3.87 thf(67,axiom,((! [A:$i,B:$i]: ((geq @ A @ B) <=> (leq @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_geq)). 9.56/3.87 thf(376,plain,((! [A:$i,B:$i]: (((geq @ A @ B) => (leq @ B @ A)) & ((leq @ B @ A) => (geq @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 9.56/3.87 thf(23,axiom,((gt @ n998 @ n4)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_4)). 9.56/3.87 thf(238,plain,((gt @ n998 @ n4)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 9.56/3.87 thf(39,axiom,((! [A:$i,B:$i]: ((gt @ (succ @ B) @ A) <=> (leq @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv)). 9.56/3.87 thf(280,plain,((! [A:$i,B:$i]: (((gt @ (succ @ B) @ A) => (leq @ A @ B)) & ((leq @ A @ B) => (gt @ (succ @ B) @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 9.56/3.87 thf(45,axiom,((gt @ n998 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_tptp_minus_1)). 9.56/3.87 thf(293,plain,((gt @ n998 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 9.56/3.87 thf(84,axiom,((! [A:$i]: ((minus @ A @ n1) = (pred @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1)). 9.56/3.87 thf(453,plain,((! [A:$i]: ((minus @ A @ n1) = (pred @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 9.56/3.87 thf(81,axiom,((! [A:$i]: ((plus @ A @ n5) = (succ @ (succ @ (succ @ (succ @ (succ @ A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_r)). 9.56/3.87 thf(428,plain,((! [A:$i]: ((plus @ A @ n5) = (succ @ (succ @ (succ @ (succ @ (succ @ A)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 9.56/3.87 thf(53,axiom,((gt @ n998 @ n5)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_5)). 9.56/3.87 thf(307,plain,((gt @ n998 @ n5)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 9.56/3.87 thf(44,axiom,((gt @ n4 @ n3)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3)). 9.56/3.87 thf(292,plain,((gt @ n4 @ n3)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 9.56/3.87 thf(35,axiom,((! [A:$i]: ((succ @ (succ @ (succ @ A))) = (plus @ A @ n3)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_r)). 9.56/3.87 thf(270,plain,((! [A:$i]: ((succ @ (succ @ (succ @ A))) = (plus @ A @ n3)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 9.56/3.87 thf(68,axiom,((! [A:$i]: ((succ @ A) = (plus @ n1 @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l)). 9.56/3.87 thf(381,plain,((! [A:$i]: ((succ @ A) = (plus @ n1 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 9.56/3.87 thf(50,axiom,((! [A:$i,B:$i]: ((leq @ (uniform_int_rnd @ B @ A) @ A) <= (leq @ n0 @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi)). 9.56/3.87 thf(302,plain,((! [A:$i,B:$i]: ((leq @ (uniform_int_rnd @ B @ A) @ A) | ~ (leq @ n0 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 9.56/3.87 thf(4,axiom,((! [A:$i,B:$i,C:$i]: (((gt @ B @ C) & (gt @ A @ B)) => (gt @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt)). 9.56/3.87 thf(160,plain,((! [A:$i,B:$i,C:$i]: (((gt @ B @ C) & (gt @ A @ B)) => (gt @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 9.56/3.87 thf(79,axiom,((gt @ n5 @ n2)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2)). 9.56/3.87 thf(424,plain,((gt @ n5 @ n2)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 9.56/3.87 thf(28,axiom,((! [A:$i]: ((succ @ (succ @ (succ @ A))) = (plus @ n3 @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_l)). 9.56/3.87 thf(252,plain,((! [A:$i]: ((succ @ (succ @ (succ @ A))) = (plus @ n3 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 9.56/3.87 thf(85,axiom,((gt @ n3 @ n2)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2)). 9.56/3.87 thf(456,plain,((gt @ n3 @ n2)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 9.56/3.87 thf(40,axiom,((gt @ n5 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1)). 9.56/3.87 thf(285,plain,((gt @ n5 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 9.56/3.87 thf(57,axiom,((n0 = (succ @ tptp_minus_1))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1)). 9.56/3.87 thf(317,plain,((n0 = (succ @ tptp_minus_1))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 9.56/3.87 thf(89,axiom,((! [A:$i,B:$i]: ((leq @ (succ @ A) @ B) => (gt @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt)). 9.56/3.87 thf(476,plain,((! [A:$i,B:$i]: ((leq @ (succ @ A) @ B) => (gt @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 9.56/3.87 thf(72,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((leq @ A @ C) & (leq @ n0 @ B) & (leq @ B @ D) & (leq @ n0 @ A) & ! [G:$i,H:$i]: (((leq @ n0 @ G) & (leq @ G @ C) & (leq @ H @ D) & (leq @ n0 @ H)) => ((a_select3 @ E @ G @ H) = F))) => ((a_select3 @ (tptp_update3 @ E @ C @ D @ F) @ A @ B) = F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_3)). 9.56/3.87 thf(393,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (((leq @ A @ C) & (leq @ n0 @ B) & (leq @ B @ D) & (leq @ n0 @ A) & ! [G:$i,H:$i]: (((leq @ n0 @ G) & (leq @ G @ C) & (leq @ H @ D) & (leq @ n0 @ H)) => ((a_select3 @ E @ G @ H) = F))) => ((a_select3 @ (tptp_update3 @ E @ C @ D @ F) @ A @ B) = F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 9.56/3.87 thf(86,axiom,((! [A:$i,B:$i]: ((gt @ B @ A) <=> (leq @ A @ (pred @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred)). 9.56/3.87 thf(457,plain,((! [A:$i,B:$i]: (((gt @ B @ A) => (leq @ A @ (pred @ B))) & ((leq @ A @ (pred @ B)) => (gt @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 9.56/3.87 thf(63,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((leq @ n0 @ A) & (leq @ A @ B) & ! [E:$i]: ((D = (a_select2 @ C @ E)) <= ((leq @ E @ B) & (leq @ n0 @ E)))) => (D = (a_select2 @ (tptp_update2 @ C @ B @ D) @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_3)). 9.56/3.87 thf(360,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((leq @ n0 @ A) & (leq @ A @ B) & ! [E:$i]: ((D = (a_select2 @ C @ E)) | ~ ((leq @ E @ B) & (leq @ n0 @ E)))) => (D = (a_select2 @ (tptp_update2 @ C @ B @ D) @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 9.56/3.87 thf(15,axiom,((! [A:$i,B:$i]: ((leq @ n0 @ B) <= (leq @ (minus @ A @ B) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_minus)). 9.56/3.87 thf(205,plain,((! [A:$i,B:$i]: ((leq @ n0 @ B) | ~ (leq @ (minus @ A @ B) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 9.56/3.87 thf(80,axiom,((! [A:$i]: (((leq @ A @ n5) & (leq @ n0 @ A)) => ((A = n0) | (A = n1) | (A = n3) | (A = n5) | (n4 = A) | (n2 = A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5)). 9.56/3.87 thf(425,plain,((! [A:$i]: (((leq @ A @ n5) & (leq @ n0 @ A)) => ((A = n0) | (A = n1) | (A = n3) | (A = n5) | (n4 = A) | (n2 = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 9.56/3.87 thf(32,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((leq @ E @ D) & (leq @ D @ F) & (leq @ A @ C) & (leq @ B @ A)) => (G = (a_select3 @ (tptp_const_array2 @ (dim @ B @ C) @ (dim @ E @ F) @ G) @ A @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array2_select)). 9.56/3.87 thf(264,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((leq @ E @ D) & (leq @ D @ F) & (leq @ A @ C) & (leq @ B @ A)) => (G = (a_select3 @ (tptp_const_array2 @ (dim @ B @ C) @ (dim @ E @ F) @ G) @ A @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 9.56/3.87 thf(38,axiom,((gt @ n0 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1)). 9.56/3.87 thf(279,plain,((gt @ n0 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 9.56/3.87 thf(12,axiom,((! [A:$i,B:$i,C:$i]: ((a_select2 @ (tptp_update2 @ A @ B @ C) @ B) = C))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1)). 9.56/3.87 thf(180,plain,((! [A:$i,B:$i,C:$i]: ((a_select2 @ (tptp_update2 @ A @ B @ C) @ B) = C))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 9.56/3.87 thf(48,axiom,((! [A:$i]: ((plus @ A @ n4) = (succ @ (succ @ (succ @ (succ @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_r)). 9.56/3.87 thf(296,plain,((! [A:$i]: ((plus @ A @ n4) = (succ @ (succ @ (succ @ (succ @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 9.56/3.87 thf(78,axiom,((gt @ n1 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1)). 9.56/3.87 thf(423,plain,((gt @ n1 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 9.56/3.87 thf(41,axiom,((gt @ n5 @ n0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0)). 9.56/3.87 thf(286,plain,((gt @ n5 @ n0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 9.56/3.87 thf(43,axiom,((gt @ n3 @ n0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0)). 9.56/3.87 thf(291,plain,((gt @ n3 @ n0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 9.56/3.87 thf(14,axiom,((gt @ n4 @ n1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1)). 9.56/3.87 thf(204,plain,((gt @ n4 @ n1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 9.56/3.87 thf(55,axiom,((n4 = (succ @ (succ @ (succ @ (succ @ n0)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4)). 9.56/3.87 thf(313,plain,((n4 = (succ @ (succ @ (succ @ (succ @ n0)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 9.56/3.87 thf(22,axiom,((! [A:$i,B:$i]: ((gt @ B @ A) => (leq @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1)). 9.56/3.87 thf(236,plain,((! [A:$i,B:$i]: ((gt @ B @ A) => (leq @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 9.56/3.87 thf(8,axiom,((! [A:$i]: ((pred @ (succ @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ)). 9.56/3.87 thf(172,plain,((! [A:$i]: ((pred @ (succ @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 9.56/3.87 thf(18,axiom,((n2 = (succ @ (succ @ n0)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2)). 9.56/3.87 thf(230,plain,((n2 = (succ @ (succ @ n0)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 9.56/3.87 thf(70,axiom,((! [A:$i]: (((leq @ A @ n1) & (leq @ n0 @ A)) => ((n1 = A) | (A = n0))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1)). 9.56/3.87 thf(387,plain,((! [A:$i]: (((leq @ A @ n1) & (leq @ n0 @ A)) => ((n1 = A) | (A = n0))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 9.56/3.87 thf(64,axiom,((! [A:$i,B:$i]: ((leq @ n0 @ (uniform_int_rnd @ B @ A)) <= (leq @ n0 @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo)). 9.56/3.87 thf(367,plain,((! [A:$i,B:$i]: ((leq @ n0 @ (uniform_int_rnd @ B @ A)) | ~ (leq @ n0 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 9.56/3.87 thf(60,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: ((! [I:$i,J:$i]: (((leq @ n0 @ J) & (leq @ J @ G) & (leq @ I @ G) & (leq @ n0 @ I)) => ((a_select3 @ (tptp_madd @ A @ (tptp_mmul @ B @ (tptp_mmul @ (tptp_madd @ (tptp_mmul @ C @ (tptp_mmul @ D @ (trans @ C))) @ (tptp_mmul @ E @ (tptp_mmul @ F @ (trans @ E)))) @ (trans @ B)))) @ I @ J) = (a_select3 @ (tptp_madd @ A @ (tptp_mmul @ B @ (tptp_mmul @ (tptp_madd @ (tptp_mmul @ C @ (tptp_mmul @ D @ (trans @ C))) @ (tptp_mmul @ E @ (tptp_mmul @ F @ (trans @ E)))) @ (trans @ B)))) @ J @ I)))) <= (! [I:$i,J:$i]: (((a_select3 @ F @ J @ I) = (a_select3 @ F @ I @ J)) <= ((leq @ I @ G) & (leq @ n0 @ J) & (leq @ J @ G) & (leq @ n0 @ I))) & ! [I:$i,J:$i]: (((leq @ n0 @ I) & (leq @ J @ G) & (leq @ n0 @ J) & (leq @ I @ G)) => ((a_select3 @ A @ J @ I) = (a_select3 @ A @ I @ J))) & ! [I:$i,J:$i]: (((a_select3 @ D @ I @ J) = (a_select3 @ D @ J @ I)) <= ((leq @ n0 @ I) & (leq @ J @ H) & (leq @ n0 @ J) & (leq @ I @ H))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_joseph_update)). 9.56/3.87 thf(323,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i,H:$i]: (! [I:$i,J:$i]: (((leq @ n0 @ J) & (leq @ J @ G) & (leq @ I @ G) & (leq @ n0 @ I)) => ((a_select3 @ (tptp_madd @ A @ (tptp_mmul @ B @ (tptp_mmul @ (tptp_madd @ (tptp_mmul @ C @ (tptp_mmul @ D @ (trans @ C))) @ (tptp_mmul @ E @ (tptp_mmul @ F @ (trans @ E)))) @ (trans @ B)))) @ I @ J) = (a_select3 @ (tptp_madd @ A @ (tptp_mmul @ B @ (tptp_mmul @ (tptp_madd @ (tptp_mmul @ C @ (tptp_mmul @ D @ (trans @ C))) @ (tptp_mmul @ E @ (tptp_mmul @ F @ (trans @ E)))) @ (trans @ B)))) @ J @ I))) | ~ (! [I:$i,J:$i]: (((a_select3 @ F @ J @ I) = (a_select3 @ F @ I @ J)) | ~ ((leq @ I @ G) & (leq @ n0 @ J) & (leq @ J @ G) & (leq @ n0 @ I))) & ! [I:$i,J:$i]: (((leq @ n0 @ I) & (leq @ J @ G) & (leq @ n0 @ J) & (leq @ I @ G)) => ((a_select3 @ A @ J @ I) = (a_select3 @ A @ I @ J))) & ! [I:$i,J:$i]: (((a_select3 @ D @ I @ J) = (a_select3 @ D @ J @ I)) | ~ ((leq @ n0 @ I) & (leq @ J @ H) & (leq @ n0 @ J) & (leq @ I @ H))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 9.56/3.87 thf(87,axiom,((! [A:$i]: ((succ @ (succ @ (succ @ (succ @ (succ @ A))))) = (plus @ n5 @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_l)). 9.56/3.87 thf(462,plain,((! [A:$i]: ((succ @ (succ @ (succ @ (succ @ (succ @ A))))) = (plus @ n5 @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 9.56/3.87 thf(52,axiom,((gt @ n998 @ n1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_1)). 9.56/3.87 thf(306,plain,((gt @ n998 @ n1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 9.56/3.87 thf(49,axiom,((! [A:$i]: (((A = n2) | (A = n3) | (A = n1) | (A = n0)) <= ((leq @ n0 @ A) & (leq @ A @ n3))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3)). 9.56/3.87 thf(299,plain,((! [A:$i]: ((A = n2) | (A = n3) | (A = n1) | (A = n0) | ~ ((leq @ n0 @ A) & (leq @ A @ n3))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 9.56/3.87 thf(82,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i]: (((leq @ C @ B) & (leq @ D @ B) & (leq @ n0 @ D) & (leq @ n0 @ C)) => ((a_select3 @ (inv @ A) @ C @ D) = (a_select3 @ (inv @ A) @ D @ C)))) <= (! [C:$i,D:$i]: (((leq @ n0 @ C) & (leq @ C @ B) & (leq @ D @ B) & (leq @ n0 @ D)) => ((a_select3 @ A @ D @ C) = (a_select3 @ A @ C @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_inv)). 9.56/3.87 thf(431,plain,((! [A:$i,B:$i]: (! [C:$i,D:$i]: (((leq @ C @ B) & (leq @ D @ B) & (leq @ n0 @ D) & (leq @ n0 @ C)) => ((a_select3 @ (inv @ A) @ C @ D) = (a_select3 @ (inv @ A) @ D @ C))) | ~ (! [C:$i,D:$i]: (((leq @ n0 @ C) & (leq @ C @ B) & (leq @ D @ B) & (leq @ n0 @ D)) => ((a_select3 @ A @ D @ C) = (a_select3 @ A @ C @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 9.56/3.87 thf(25,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((a_select2 @ (tptp_update2 @ C @ A @ E) @ B) = D) <= ((D = (a_select2 @ C @ B)) & (A != B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_2)). 9.56/3.87 thf(241,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i]: (((a_select2 @ (tptp_update2 @ C @ A @ E) @ B) = D) | ~ ((D = (a_select2 @ C @ B)) & ~ (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 9.56/3.87 thf(6,axiom,((! [A:$i]: ~ (gt @ A @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt)). 9.56/3.87 thf(167,plain,((! [A:$i]: ~ (gt @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 9.56/3.87 thf(5,axiom,((! [A:$i,B:$i]: ((lt @ A @ B) <=> (gt @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_gt)). 9.56/3.87 thf(162,plain,((! [A:$i,B:$i]: (((lt @ A @ B) => (gt @ B @ A)) & ((gt @ B @ A) => (lt @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 9.56/3.87 thf(29,axiom,((use != def)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse)). 9.56/3.87 thf(255,plain,((~ (use = def))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 9.56/3.87 thf(17,axiom,((! [A:$i,B:$i,C:$i]: ((! [D:$i,E:$i]: (((leq @ D @ C) & (leq @ E @ C) & (leq @ n0 @ E) & (leq @ n0 @ D)) => ((a_select3 @ (tptp_msub @ A @ B) @ E @ D) = (a_select3 @ (tptp_msub @ A @ B) @ D @ E)))) <= (! [D:$i,E:$i]: (((a_select3 @ B @ E @ D) = (a_select3 @ B @ D @ E)) <= ((leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C) & (leq @ n0 @ D))) & ! [D:$i,E:$i]: (((leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C)) => ((a_select3 @ A @ D @ E) = (a_select3 @ A @ E @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_sub)). 9.56/3.87 thf(209,plain,((! [A:$i,B:$i,C:$i]: (! [D:$i,E:$i]: (((leq @ D @ C) & (leq @ E @ C) & (leq @ n0 @ E) & (leq @ n0 @ D)) => ((a_select3 @ (tptp_msub @ A @ B) @ E @ D) = (a_select3 @ (tptp_msub @ A @ B) @ D @ E))) | ~ (! [D:$i,E:$i]: (((a_select3 @ B @ E @ D) = (a_select3 @ B @ D @ E)) | ~ ((leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C) & (leq @ n0 @ D))) & ! [D:$i,E:$i]: (((leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C)) => ((a_select3 @ A @ D @ E) = (a_select3 @ A @ E @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 9.56/3.87 thf(61,axiom,((! [A:$i]: (((leq @ A @ n4) & (leq @ n0 @ A)) => ((A = n0) | (A = n1) | (A = n2) | (n4 = A) | (n3 = A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4)). 9.56/3.87 thf(355,plain,((! [A:$i]: (((leq @ A @ n4) & (leq @ n0 @ A)) => ((A = n0) | (A = n1) | (A = n2) | (n4 = A) | (n3 = A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 9.56/3.87 thf(47,axiom,((gt @ n998 @ n0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_0)). 9.56/3.87 thf(295,plain,((gt @ n998 @ n0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 9.56/3.87 thf(31,axiom,((gt @ n998 @ n2)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_2)). 9.56/3.87 thf(263,plain,((gt @ n998 @ n2)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 9.56/3.87 thf(65,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((a_select3 @ (tptp_update3 @ A @ B @ C @ D) @ B @ C) = D))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_1)). 9.56/3.87 thf(370,plain,((! [A:$i,B:$i,C:$i,D:$i]: ((a_select3 @ (tptp_update3 @ A @ B @ C @ D) @ B @ C) = D))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 9.56/3.87 thf(9,axiom,((! [A:$i]: ((succ @ (pred @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred)). 9.56/3.87 thf(175,plain,((! [A:$i]: ((succ @ (pred @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 9.56/3.87 thf(88,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i]: (((leq @ n0 @ C) & (leq @ C @ B) & (leq @ D @ B) & (leq @ n0 @ D)) => ((a_select3 @ (trans @ A) @ D @ C) = (a_select3 @ (trans @ A) @ C @ D)))) <= (! [C:$i,D:$i]: (((a_select3 @ A @ D @ C) = (a_select3 @ A @ C @ D)) <= ((leq @ n0 @ C) & (leq @ D @ B) & (leq @ n0 @ D) & (leq @ C @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_trans)). 9.56/3.87 thf(465,plain,((! [A:$i,B:$i]: (! [C:$i,D:$i]: (((leq @ n0 @ C) & (leq @ C @ B) & (leq @ D @ B) & (leq @ n0 @ D)) => ((a_select3 @ (trans @ A) @ D @ C) = (a_select3 @ (trans @ A) @ C @ D))) | ~ (! [C:$i,D:$i]: (((a_select3 @ A @ D @ C) = (a_select3 @ A @ C @ D)) | ~ ((leq @ n0 @ C) & (leq @ D @ B) & (leq @ n0 @ D) & (leq @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 9.56/3.87 thf(58,axiom,((! [A:$i]: ((plus @ A @ n1) = (succ @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r)). 9.56/3.87 thf(319,plain,((! [A:$i]: ((plus @ A @ n1) = (succ @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 9.56/3.87 thf(30,axiom,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((D = B) & ((a_select3 @ E @ C @ D) = F) & (C != A)) => ((a_select3 @ (tptp_update3 @ E @ A @ B @ G) @ C @ D) = F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_2)). 9.56/3.87 thf(258,plain,((! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i,G:$i]: (((D = B) & ((a_select3 @ E @ C @ D) = F) & ~ (C = A)) => ((a_select3 @ (tptp_update3 @ E @ A @ B @ G) @ C @ D) = F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 9.56/3.87 thf(71,axiom,((! [A:$i]: ((succ @ (succ @ A)) = (plus @ A @ n2)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_r)). 9.56/3.87 thf(390,plain,((! [A:$i]: ((succ @ (succ @ A)) = (plus @ A @ n2)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 9.56/3.87 thf(21,axiom,((gt @ n5 @ n3)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3)). 9.56/3.87 thf(235,plain,((gt @ n5 @ n3)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 9.56/3.87 thf(26,axiom,((! [A:$i]: ((plus @ n2 @ A) = (succ @ (succ @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l)). 9.56/3.87 thf(246,plain,((! [A:$i]: ((plus @ n2 @ A) = (succ @ (succ @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 9.56/3.87 thf(16,axiom,((! [A:$i]: (leq @ A @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq)). 9.56/3.87 thf(207,plain,((! [A:$i]: (leq @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 9.56/3.87 thf(90,axiom,((gt @ n2 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1)). 9.56/3.87 thf(478,plain,((gt @ n2 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 9.56/3.87 thf(42,axiom,((! [A:$i,B:$i,C:$i,D:$i]: (((leq @ A @ C) & (leq @ B @ A)) => ((a_select2 @ (tptp_const_array1 @ (dim @ B @ C) @ D) @ A) = D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array1_select)). 9.56/3.87 thf(287,plain,((! [A:$i,B:$i,C:$i,D:$i]: (((leq @ A @ C) & (leq @ B @ A)) => ((a_select2 @ (tptp_const_array1 @ (dim @ B @ C) @ D) @ A) = D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 9.56/3.87 thf(56,axiom,((! [A:$i,B:$i]: ((leq @ A @ (succ @ B)) <= (leq @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ)). 9.56/3.87 thf(315,plain,((! [A:$i,B:$i]: ((leq @ A @ (succ @ B)) | ~ (leq @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 9.56/3.87 thf(76,axiom,((! [A:$i,B:$i,C:$i,D:$i]: ((! [E:$i,F:$i]: (((a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ E @ F) = (a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ F @ E)) <= ((leq @ F @ C) & (leq @ n0 @ F) & (leq @ E @ C) & (leq @ n0 @ E)))) <= (! [E:$i,F:$i]: (((a_select3 @ B @ E @ F) = (a_select3 @ B @ F @ E)) <= ((leq @ n0 @ E) & (leq @ F @ D) & (leq @ n0 @ F) & (leq @ E @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba2)). 9.56/3.87 thf(410,plain,((! [A:$i,B:$i,C:$i,D:$i]: (! [E:$i,F:$i]: (((a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ E @ F) = (a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ F @ E)) | ~ ((leq @ F @ C) & (leq @ n0 @ F) & (leq @ E @ C) & (leq @ n0 @ E))) | ~ (! [E:$i,F:$i]: (((a_select3 @ B @ E @ F) = (a_select3 @ B @ F @ E)) | ~ ((leq @ n0 @ E) & (leq @ F @ D) & (leq @ n0 @ F) & (leq @ E @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 9.56/3.87 thf(74,axiom,((! [A:$i,B:$i]: (((A != B) & (leq @ A @ B)) => (gt @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2)). 9.56/3.87 thf(405,plain,((! [A:$i,B:$i]: ((~ (A = B) & (leq @ A @ B)) => (gt @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 9.56/3.87 thf(13,axiom,((! [A:$i,B:$i,C:$i]: ((! [D:$i,E:$i]: (((a_select3 @ B @ E @ D) = (a_select3 @ B @ D @ E)) <= ((leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C) & (leq @ n0 @ D))) & ! [D:$i,E:$i]: (((leq @ D @ C) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ n0 @ D)) => ((a_select3 @ A @ E @ D) = (a_select3 @ A @ D @ E)))) => (! [D:$i,E:$i]: (((leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C)) => ((a_select3 @ (tptp_madd @ A @ B) @ D @ E) = (a_select3 @ (tptp_madd @ A @ B) @ E @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_add)). 9.56/3.87 thf(183,plain,((! [A:$i,B:$i,C:$i]: ((! [D:$i,E:$i]: (((a_select3 @ B @ E @ D) = (a_select3 @ B @ D @ E)) | ~ ((leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C) & (leq @ n0 @ D))) & ! [D:$i,E:$i]: (((leq @ D @ C) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ n0 @ D)) => ((a_select3 @ A @ E @ D) = (a_select3 @ A @ D @ E)))) => (! [D:$i,E:$i]: (((leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C)) => ((a_select3 @ (tptp_madd @ A @ B) @ D @ E) = (a_select3 @ (tptp_madd @ A @ B) @ E @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 9.56/3.87 thf(77,axiom,((gt @ n5 @ n1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1)). 9.56/3.87 thf(422,plain,((gt @ n5 @ n1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 9.56/3.87 thf(36,axiom,((! [A:$i]: (((n1 = A) | (n2 = A) | (n0 = A)) <= ((leq @ A @ n2) & (leq @ n0 @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2)). 9.56/3.87 thf(273,plain,((! [A:$i]: ((n1 = A) | (n2 = A) | (n0 = A) | ~ ((leq @ A @ n2) & (leq @ n0 @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 9.56/3.87 thf(66,axiom,((! [A:$i]: ((n0 = A) <= ((leq @ A @ n0) & (leq @ n0 @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0)). 9.56/3.87 thf(373,plain,((! [A:$i]: ((n0 = A) | ~ ((leq @ A @ n0) & (leq @ n0 @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 9.56/3.87 thf(51,axiom,((gt @ n1 @ n0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0)). 9.56/3.87 thf(305,plain,((gt @ n1 @ n0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 9.56/3.87 thf(24,axiom,((n5 = (succ @ (succ @ (succ @ (succ @ (succ @ n0))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5)). 9.56/3.87 thf(239,plain,((n5 = (succ @ (succ @ (succ @ (succ @ (succ @ n0))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 9.56/3.87 thf(46,axiom,((gt @ n998 @ n3)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_998_3)). 9.56/3.87 thf(294,plain,((gt @ n998 @ n3)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 9.56/3.87 thf(33,axiom,((gt @ n3 @ tptp_minus_1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1)). 9.56/3.87 thf(268,plain,((gt @ n3 @ tptp_minus_1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 9.56/3.87 thf(62,axiom,((! [A:$i,B:$i,C:$i]: ((leq @ A @ C) <= ((leq @ B @ C) & (leq @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq)). 9.56/3.87 thf(358,plain,((! [A:$i,B:$i,C:$i]: ((leq @ A @ C) | ~ ((leq @ B @ C) & (leq @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 9.56/3.87 thf(10,axiom,((gt @ n2 @ n0)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0)). 9.56/3.87 thf(178,plain,((gt @ n2 @ n0)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 9.56/3.87 thf(83,axiom,((! [A:$i,B:$i,C:$i]: ((! [D:$i,E:$i]: (((a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ D @ E) = (a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ E @ D)) <= ((leq @ D @ C) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ n0 @ D)))) <= (! [D:$i,E:$i]: (((a_select3 @ B @ D @ E) = (a_select3 @ B @ E @ D)) <= ((leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba1)). 9.56/3.87 thf(442,plain,((! [A:$i,B:$i,C:$i]: (! [D:$i,E:$i]: (((a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ D @ E) = (a_select3 @ (tptp_mmul @ A @ (tptp_mmul @ B @ (trans @ A))) @ E @ D)) | ~ ((leq @ D @ C) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ n0 @ D))) | ~ (! [D:$i,E:$i]: (((a_select3 @ B @ D @ E) = (a_select3 @ B @ E @ D)) | ~ ((leq @ n0 @ D) & (leq @ n0 @ E) & (leq @ E @ C) & (leq @ D @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 9.56/3.87 thf(59,axiom,((gt @ n5 @ n4)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4)). 9.56/3.87 thf(322,plain,((gt @ n5 @ n4)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 9.56/3.87 thf(92,axiom,((gt @ n2 @ n1)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1)). 9.56/3.87 thf(491,plain,((gt @ n2 @ n1)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 9.56/3.87 thf(19,axiom,((n3 = (succ @ (succ @ (succ @ n0))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3)). 9.56/3.87 thf(232,plain,((n3 = (succ @ (succ @ (succ @ n0))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 9.56/3.87 thf(492,plain,($false),inference(e,[status(thm)],[479,249,234,408,170,276,308,269,384,404,157,93,179,376,238,280,293,453,428,307,292,270,381,302,160,424,252,456,285,317,476,393,457,360,205,425,264,279,180,296,423,286,291,204,313,236,172,230,387,367,323,462,306,299,431,241,167,162,255,209,355,295,263,370,175,465,319,258,390,235,246,207,478,287,315,410,405,183,422,273,373,305,239,294,268,358,178,442,322,491,232])). 9.56/3.87 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 9.56/3.87 % [INFO] Killing All external provers ... 9.66/3.91 EOF