%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n016.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 : Thu Aug 31 22:54:53 EDT 2023 % Result : Theorem 18.82s 3.24s % Output : Proof 22.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0. % 0.11/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.33 % Computer : n016.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Tue Aug 29 07:15:00 EDT 2023 % 0.11/0.33 % CPUTime : % 0.64/0.61 ________ _____ % 0.64/0.61 ___ __ \_________(_)________________________________ % 0.64/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.64/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.64/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.64/0.61 % 0.64/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.64/0.61 (2023-06-19) % 0.64/0.61 % 0.64/0.61 (c) Philipp Rümmer, 2009-2023 % 0.64/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.64/0.61 Amanda Stjerna. % 0.64/0.61 Free software under BSD-3-Clause. % 0.64/0.61 % 0.64/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.64/0.61 % 0.64/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.62 Running up to 7 provers in parallel. % 0.66/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 6.00/1.49 Prover 4: Preprocessing ... % 6.00/1.49 Prover 1: Preprocessing ... % 6.21/1.54 Prover 0: Preprocessing ... % 6.21/1.54 Prover 5: Preprocessing ... % 6.21/1.54 Prover 2: Preprocessing ... % 6.21/1.54 Prover 3: Preprocessing ... % 6.21/1.54 Prover 6: Preprocessing ... % 15.13/2.71 Prover 1: Warning: ignoring some quantifiers % 15.13/2.77 Prover 3: Warning: ignoring some quantifiers % 15.13/2.80 Prover 6: Proving ... % 15.89/2.84 Prover 3: Constructing countermodel ... % 15.89/2.88 Prover 1: Constructing countermodel ... % 16.54/2.99 Prover 4: Warning: ignoring some quantifiers % 17.30/3.05 Prover 5: Proving ... % 17.30/3.08 Prover 4: Constructing countermodel ... % 18.08/3.11 Prover 0: Proving ... % 18.08/3.12 Prover 2: Proving ... % 18.82/3.24 Prover 3: proved (2601ms) % 18.82/3.24 % 18.82/3.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.82/3.24 % 18.82/3.24 Prover 2: stopped % 18.82/3.24 Prover 0: stopped % 18.82/3.24 Prover 5: stopped % 18.82/3.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.82/3.26 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.82/3.26 Prover 6: stopped % 18.82/3.26 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.82/3.26 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.82/3.26 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 20.47/3.42 Prover 7: Preprocessing ... % 20.47/3.45 Prover 8: Preprocessing ... % 20.47/3.46 Prover 11: Preprocessing ... % 20.47/3.49 Prover 13: Preprocessing ... % 20.47/3.49 Prover 10: Preprocessing ... % 20.47/3.49 Prover 1: Found proof (size 27) % 20.47/3.49 Prover 1: proved (2861ms) % 20.47/3.49 Prover 4: stopped % 20.47/3.49 Prover 7: stopped % 21.18/3.55 Prover 10: stopped % 21.18/3.55 Prover 11: stopped % 21.18/3.59 Prover 13: stopped % 21.81/3.65 Prover 8: Warning: ignoring some quantifiers % 21.81/3.67 Prover 8: Constructing countermodel ... % 22.26/3.69 Prover 8: stopped % 22.26/3.69 % 22.26/3.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 22.26/3.69 % 22.26/3.69 % SZS output start Proof for theBenchmark % 22.32/3.70 Assumptions after simplification: % 22.32/3.70 --------------------------------- % 22.32/3.70 % 22.32/3.70 (quaternion_ds1_inuse_0007) % 22.40/3.74 $i(z_defuse) & $i(n6) & $i(n999) & $i(pv51) & $i(pv5) & $i(xinit_noise_defuse) % 22.40/3.74 & $i(xinit_mean_defuse) & $i(xinit_defuse) & $i(u_defuse) & $i(sigma_defuse) & % 22.40/3.74 $i(rho_defuse) & $i(use) & $i(n5) & $i(n4) & $i(n3) & $i(n2) & $i(n1) & $i(n0) % 22.40/3.74 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (minus(n6, n1) = v1 & minus(n999, % 22.40/3.74 n1) = v0 & minus(pv5, n1) = v2 & a_select3(u_defuse, n2, n0) = use & % 22.40/3.74 a_select3(u_defuse, n1, n0) = use & a_select3(u_defuse, n0, n0) = use & % 22.40/3.74 a_select2(xinit_noise_defuse, n5) = use & a_select2(xinit_noise_defuse, n4) % 22.40/3.74 = use & a_select2(xinit_noise_defuse, n3) = use & % 22.40/3.74 a_select2(xinit_noise_defuse, n2) = use & a_select2(xinit_noise_defuse, n1) % 22.40/3.74 = use & a_select2(xinit_noise_defuse, n0) = use & % 22.40/3.74 a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, n4) = % 22.40/3.74 use & a_select2(xinit_mean_defuse, n3) = use & a_select2(xinit_mean_defuse, % 22.40/3.74 n2) = use & a_select2(xinit_mean_defuse, n1) = use & % 22.40/3.74 a_select2(xinit_mean_defuse, n0) = use & a_select2(xinit_defuse, n5) = use & % 22.40/3.74 a_select2(xinit_defuse, n4) = use & a_select2(xinit_defuse, n3) = use & % 22.40/3.74 a_select2(sigma_defuse, n5) = use & a_select2(sigma_defuse, n4) = use & % 22.40/3.74 a_select2(sigma_defuse, n3) = use & a_select2(sigma_defuse, n2) = use & % 22.40/3.74 a_select2(sigma_defuse, n1) = use & a_select2(sigma_defuse, n0) = use & % 22.40/3.74 a_select2(rho_defuse, n2) = use & a_select2(rho_defuse, n1) = use & % 22.40/3.74 a_select2(rho_defuse, n0) = use & leq(pv51, v1) = 0 & leq(pv5, v0) = 0 & % 22.40/3.74 leq(n0, pv51) = 0 & leq(n0, pv5) = 0 & $i(v2) & $i(v1) & $i(v0) & ! [v3: % 22.40/3.74 $i] : ! [v4: $i] : ( ~ (leq(v4, v2) = 0) | ~ (leq(v3, n2) = 0) | ~ % 22.40/3.74 $i(v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: % 22.40/3.74 $i] : (a_select3(z_defuse, v3, v4) = v8 & a_select3(u_defuse, v3, v4) = % 22.40/3.74 v7 & leq(n0, v4) = v6 & leq(n0, v3) = v5 & $i(v8) & $i(v7) & ( ~ (v6 = % 22.40/3.74 0) | ~ (v5 = 0) | (v8 = use & v7 = use)))) & ? [v3: $i] : ? [v4: % 22.40/3.74 $i] : ? [v5: $i] : ? [v6: $i] : (a_select3(z_defuse, v3, v4) = v6 & % 22.40/3.74 a_select3(u_defuse, v3, v4) = v5 & leq(v4, v2) = 0 & leq(v3, n2) = 0 & % 22.40/3.74 leq(n0, v4) = 0 & leq(n0, v3) = 0 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( % 22.40/3.74 ~ (v6 = use) | ~ (v5 = use)))) % 22.40/3.74 % 22.40/3.74 (function-axioms) % 22.40/3.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.40/3.75 $i] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ % 22.40/3.75 (tptp_update3(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 22.40/3.75 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = % 22.40/3.75 v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 22.40/3.75 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | % 22.40/3.75 ~ (sum(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 22.40/3.75 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | % 22.40/3.75 ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 22.40/3.75 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = % 22.40/3.75 v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 22.40/3.75 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, % 22.40/3.75 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 22.40/3.75 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0: $i] : ! % 22.40/3.75 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) % 22.40/3.75 | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 22.40/3.75 ! [v3: $i] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = % 22.40/3.75 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 22.40/3.75 ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0: $i] : ! % 22.40/3.75 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ % 22.40/3.75 (dim(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 22.40/3.75 : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, % 22.40/3.75 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 22.40/3.75 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0: % 22.40/3.75 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.40/3.75 (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! % 22.40/3.75 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 22.40/3.75 $i] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0: % 22.40/3.75 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.40/3.75 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0: % 22.40/3.75 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.40/3.75 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: % 22.40/3.75 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.40/3.75 : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: $i] : ! % 22.40/3.75 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & % 22.40/3.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (trans(v2) = v1) | ~ % 22.40/3.75 (trans(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 22.40/3.75 (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 22.40/3.75 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) % 22.40/3.75 % 22.40/3.75 Further assumptions not needed in the proof: % 22.40/3.75 -------------------------------------------- % 22.40/3.75 const_array1_select, const_array2_select, defuse, finite_domain_0, % 22.40/3.75 finite_domain_1, finite_domain_2, finite_domain_3, finite_domain_4, % 22.40/3.75 finite_domain_5, finite_domain_6, gt_0_tptp_minus_1, gt_1_0, gt_1_tptp_minus_1, % 22.40/3.75 gt_2_0, gt_2_1, gt_2_tptp_minus_1, gt_3_0, gt_3_1, gt_3_2, gt_3_tptp_minus_1, % 22.40/3.75 gt_4_0, gt_4_1, gt_4_2, gt_4_3, gt_4_tptp_minus_1, gt_5_0, gt_5_1, gt_5_2, % 22.40/3.75 gt_5_3, gt_5_4, gt_5_tptp_minus_1, gt_6_0, gt_6_1, gt_6_2, gt_6_3, gt_6_4, % 22.40/3.75 gt_6_5, gt_6_tptp_minus_1, gt_999_0, gt_999_1, gt_999_2, gt_999_3, gt_999_4, % 22.40/3.75 gt_999_5, gt_999_6, gt_999_tptp_minus_1, gt_succ, irreflexivity_gt, leq_geq, % 22.40/3.75 leq_gt1, leq_gt2, leq_gt_pred, leq_minus, leq_succ, leq_succ_gt, % 22.40/3.75 leq_succ_gt_equiv, leq_succ_succ, lt_gt, matrix_symm_aba1, matrix_symm_aba2, % 22.40/3.75 matrix_symm_add, matrix_symm_inv, matrix_symm_joseph_update, matrix_symm_sub, % 22.40/3.75 matrix_symm_trans, matrix_symm_update_diagonal, pred_minus_1, pred_succ, % 22.40/3.75 reflexivity_leq, sel2_update_1, sel2_update_2, sel2_update_3, sel3_update_1, % 22.40/3.75 sel3_update_2, sel3_update_3, succ_plus_1_l, succ_plus_1_r, succ_plus_2_l, % 22.40/3.75 succ_plus_2_r, succ_plus_3_l, succ_plus_3_r, succ_plus_4_l, succ_plus_4_r, % 22.40/3.75 succ_plus_5_l, succ_plus_5_r, succ_pred, succ_tptp_minus_1, successor_1, % 22.40/3.75 successor_2, successor_3, successor_4, successor_5, successor_6, sum_plus_base, % 22.40/3.75 sum_plus_base_float, totality, transitivity_gt, transitivity_leq, ttrue, % 22.40/3.75 uniform_int_rand_ranges_hi, uniform_int_rand_ranges_lo % 22.40/3.75 % 22.40/3.75 Those formulas are unsatisfiable: % 22.40/3.75 --------------------------------- % 22.40/3.75 % 22.40/3.75 Begin of proof % 22.40/3.75 | % 22.40/3.75 | ALPHA: (quaternion_ds1_inuse_0007) implies: % 22.40/3.76 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (minus(n6, n1) = v1 & % 22.40/3.76 | minus(n999, n1) = v0 & minus(pv5, n1) = v2 & a_select3(u_defuse, n2, % 22.40/3.76 | n0) = use & a_select3(u_defuse, n1, n0) = use & a_select3(u_defuse, % 22.40/3.76 | n0, n0) = use & a_select2(xinit_noise_defuse, n5) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n4) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n3) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n2) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n1) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n0) = use & % 22.40/3.76 | a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, % 22.40/3.76 | n4) = use & a_select2(xinit_mean_defuse, n3) = use & % 22.40/3.76 | a_select2(xinit_mean_defuse, n2) = use & a_select2(xinit_mean_defuse, % 22.40/3.76 | n1) = use & a_select2(xinit_mean_defuse, n0) = use & % 22.40/3.76 | a_select2(xinit_defuse, n5) = use & a_select2(xinit_defuse, n4) = use % 22.40/3.76 | & a_select2(xinit_defuse, n3) = use & a_select2(sigma_defuse, n5) = % 22.40/3.76 | use & a_select2(sigma_defuse, n4) = use & a_select2(sigma_defuse, n3) % 22.40/3.76 | = use & a_select2(sigma_defuse, n2) = use & a_select2(sigma_defuse, % 22.40/3.76 | n1) = use & a_select2(sigma_defuse, n0) = use & % 22.40/3.76 | a_select2(rho_defuse, n2) = use & a_select2(rho_defuse, n1) = use & % 22.40/3.76 | a_select2(rho_defuse, n0) = use & leq(pv51, v1) = 0 & leq(pv5, v0) = % 22.40/3.76 | 0 & leq(n0, pv51) = 0 & leq(n0, pv5) = 0 & $i(v2) & $i(v1) & $i(v0) & % 22.40/3.76 | ! [v3: $i] : ! [v4: $i] : ( ~ (leq(v4, v2) = 0) | ~ (leq(v3, n2) = % 22.40/3.76 | 0) | ~ $i(v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] : ? % 22.40/3.76 | [v7: $i] : ? [v8: $i] : (a_select3(z_defuse, v3, v4) = v8 & % 22.40/3.76 | a_select3(u_defuse, v3, v4) = v7 & leq(n0, v4) = v6 & leq(n0, v3) % 22.40/3.76 | = v5 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = use & % 22.40/3.76 | v7 = use)))) & ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? % 22.40/3.76 | [v6: $i] : (a_select3(z_defuse, v3, v4) = v6 & a_select3(u_defuse, % 22.40/3.76 | v3, v4) = v5 & leq(v4, v2) = 0 & leq(v3, n2) = 0 & leq(n0, v4) = % 22.40/3.76 | 0 & leq(n0, v3) = 0 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v6 = % 22.40/3.76 | use) | ~ (v5 = use)))) % 22.40/3.76 | % 22.40/3.76 | ALPHA: (function-axioms) implies: % 22.40/3.76 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 22.40/3.76 | ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 22.40/3.76 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 22.40/3.76 | (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) % 22.40/3.76 | = v0)) % 22.40/3.76 | % 22.40/3.76 | DELTA: instantiating (1) with fresh symbols all_77_0, all_77_1, all_77_2 % 22.40/3.76 | gives: % 22.40/3.76 | (4) minus(n6, n1) = all_77_1 & minus(n999, n1) = all_77_2 & minus(pv5, n1) % 22.40/3.76 | = all_77_0 & a_select3(u_defuse, n2, n0) = use & a_select3(u_defuse, % 22.40/3.76 | n1, n0) = use & a_select3(u_defuse, n0, n0) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n5) = use & a_select2(xinit_noise_defuse, % 22.40/3.76 | n4) = use & a_select2(xinit_noise_defuse, n3) = use & % 22.40/3.76 | a_select2(xinit_noise_defuse, n2) = use & a_select2(xinit_noise_defuse, % 22.40/3.76 | n1) = use & a_select2(xinit_noise_defuse, n0) = use & % 22.40/3.76 | a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, % 22.40/3.76 | n4) = use & a_select2(xinit_mean_defuse, n3) = use & % 22.40/3.76 | a_select2(xinit_mean_defuse, n2) = use & a_select2(xinit_mean_defuse, % 22.40/3.76 | n1) = use & a_select2(xinit_mean_defuse, n0) = use & % 22.40/3.77 | a_select2(xinit_defuse, n5) = use & a_select2(xinit_defuse, n4) = use & % 22.40/3.77 | a_select2(xinit_defuse, n3) = use & a_select2(sigma_defuse, n5) = use & % 22.40/3.77 | a_select2(sigma_defuse, n4) = use & a_select2(sigma_defuse, n3) = use & % 22.40/3.77 | a_select2(sigma_defuse, n2) = use & a_select2(sigma_defuse, n1) = use & % 22.40/3.77 | a_select2(sigma_defuse, n0) = use & a_select2(rho_defuse, n2) = use & % 22.40/3.77 | a_select2(rho_defuse, n1) = use & a_select2(rho_defuse, n0) = use & % 22.40/3.77 | leq(pv51, all_77_1) = 0 & leq(pv5, all_77_2) = 0 & leq(n0, pv51) = 0 & % 22.40/3.77 | leq(n0, pv5) = 0 & $i(all_77_0) & $i(all_77_1) & $i(all_77_2) & ! [v0: % 22.40/3.77 | $i] : ! [v1: $i] : ( ~ (leq(v1, all_77_0) = 0) | ~ (leq(v0, n2) = % 22.40/3.77 | 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: % 22.40/3.77 | $i] : ? [v5: $i] : (a_select3(z_defuse, v0, v1) = v5 & % 22.40/3.77 | a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = % 22.40/3.77 | v2 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = use & v4 % 22.40/3.77 | = use)))) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 22.40/3.77 | $i] : (a_select3(z_defuse, v0, v1) = v3 & a_select3(u_defuse, v0, v1) % 22.40/3.77 | = v2 & leq(v1, all_77_0) = 0 & leq(v0, n2) = 0 & leq(n0, v1) = 0 & % 22.40/3.77 | leq(n0, v0) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = use) % 22.40/3.77 | | ~ (v2 = use))) % 22.40/3.77 | % 22.40/3.77 | ALPHA: (4) implies: % 22.40/3.77 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v1, all_77_0) = 0) | ~ (leq(v0, % 22.40/3.77 | n2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : % 22.40/3.77 | ? [v4: $i] : ? [v5: $i] : (a_select3(z_defuse, v0, v1) = v5 & % 22.40/3.77 | a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = % 22.40/3.77 | v2 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = use & v4 % 22.40/3.77 | = use)))) % 22.40/3.77 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.40/3.77 | (a_select3(z_defuse, v0, v1) = v3 & a_select3(u_defuse, v0, v1) = v2 & % 22.40/3.77 | leq(v1, all_77_0) = 0 & leq(v0, n2) = 0 & leq(n0, v1) = 0 & leq(n0, % 22.40/3.77 | v0) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = use) | ~ % 22.40/3.77 | (v2 = use))) % 22.40/3.77 | % 22.40/3.77 | DELTA: instantiating (6) with fresh symbols all_82_0, all_82_1, all_82_2, % 22.40/3.77 | all_82_3 gives: % 22.40/3.77 | (7) a_select3(z_defuse, all_82_3, all_82_2) = all_82_0 & % 22.40/3.77 | a_select3(u_defuse, all_82_3, all_82_2) = all_82_1 & leq(all_82_2, % 22.40/3.77 | all_77_0) = 0 & leq(all_82_3, n2) = 0 & leq(n0, all_82_2) = 0 & % 22.40/3.77 | leq(n0, all_82_3) = 0 & $i(all_82_0) & $i(all_82_1) & $i(all_82_2) & % 22.40/3.77 | $i(all_82_3) & ( ~ (all_82_0 = use) | ~ (all_82_1 = use)) % 22.40/3.77 | % 22.40/3.77 | ALPHA: (7) implies: % 22.40/3.77 | (8) $i(all_82_3) % 22.40/3.77 | (9) $i(all_82_2) % 22.40/3.77 | (10) leq(n0, all_82_3) = 0 % 22.40/3.77 | (11) leq(n0, all_82_2) = 0 % 22.40/3.77 | (12) leq(all_82_3, n2) = 0 % 22.40/3.77 | (13) leq(all_82_2, all_77_0) = 0 % 22.40/3.77 | (14) a_select3(u_defuse, all_82_3, all_82_2) = all_82_1 % 22.40/3.77 | (15) a_select3(z_defuse, all_82_3, all_82_2) = all_82_0 % 22.40/3.77 | (16) ~ (all_82_0 = use) | ~ (all_82_1 = use) % 22.40/3.77 | % 22.40/3.77 | GROUND_INST: instantiating (5) with all_82_3, all_82_2, simplifying with (8), % 22.40/3.77 | (9), (12), (13) gives: % 22.40/3.77 | (17) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 22.40/3.77 | (a_select3(z_defuse, all_82_3, all_82_2) = v3 & a_select3(u_defuse, % 22.40/3.77 | all_82_3, all_82_2) = v2 & leq(n0, all_82_2) = v1 & leq(n0, % 22.40/3.77 | all_82_3) = v0 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | % 22.40/3.77 | (v3 = use & v2 = use))) % 22.40/3.77 | % 22.40/3.77 | DELTA: instantiating (17) with fresh symbols all_110_0, all_110_1, all_110_2, % 22.40/3.77 | all_110_3 gives: % 22.40/3.77 | (18) a_select3(z_defuse, all_82_3, all_82_2) = all_110_0 & % 22.40/3.77 | a_select3(u_defuse, all_82_3, all_82_2) = all_110_1 & leq(n0, % 22.40/3.77 | all_82_2) = all_110_2 & leq(n0, all_82_3) = all_110_3 & % 22.40/3.77 | $i(all_110_0) & $i(all_110_1) & ( ~ (all_110_2 = 0) | ~ (all_110_3 = % 22.40/3.77 | 0) | (all_110_0 = use & all_110_1 = use)) % 22.40/3.77 | % 22.40/3.77 | ALPHA: (18) implies: % 22.40/3.78 | (19) leq(n0, all_82_3) = all_110_3 % 22.40/3.78 | (20) leq(n0, all_82_2) = all_110_2 % 22.40/3.78 | (21) a_select3(u_defuse, all_82_3, all_82_2) = all_110_1 % 22.40/3.78 | (22) a_select3(z_defuse, all_82_3, all_82_2) = all_110_0 % 22.40/3.78 | (23) ~ (all_110_2 = 0) | ~ (all_110_3 = 0) | (all_110_0 = use & all_110_1 % 22.40/3.78 | = use) % 22.40/3.78 | % 22.40/3.78 | GROUND_INST: instantiating (2) with 0, all_110_3, all_82_3, n0, simplifying % 22.40/3.78 | with (10), (19) gives: % 22.40/3.78 | (24) all_110_3 = 0 % 22.40/3.78 | % 22.40/3.78 | GROUND_INST: instantiating (2) with 0, all_110_2, all_82_2, n0, simplifying % 22.40/3.78 | with (11), (20) gives: % 22.40/3.78 | (25) all_110_2 = 0 % 22.40/3.78 | % 22.40/3.78 | GROUND_INST: instantiating (3) with all_82_1, all_110_1, all_82_2, all_82_3, % 22.40/3.78 | u_defuse, simplifying with (14), (21) gives: % 22.40/3.78 | (26) all_110_1 = all_82_1 % 22.40/3.78 | % 22.40/3.78 | GROUND_INST: instantiating (3) with all_82_0, all_110_0, all_82_2, all_82_3, % 22.40/3.78 | z_defuse, simplifying with (15), (22) gives: % 22.40/3.78 | (27) all_110_0 = all_82_0 % 22.40/3.78 | % 22.40/3.78 | BETA: splitting (23) gives: % 22.40/3.78 | % 22.40/3.78 | Case 1: % 22.40/3.78 | | % 22.40/3.78 | | (28) ~ (all_110_2 = 0) % 22.40/3.78 | | % 22.40/3.78 | | REDUCE: (25), (28) imply: % 22.40/3.78 | | (29) $false % 22.40/3.78 | | % 22.40/3.78 | | CLOSE: (29) is inconsistent. % 22.40/3.78 | | % 22.40/3.78 | Case 2: % 22.40/3.78 | | % 22.40/3.78 | | (30) ~ (all_110_3 = 0) | (all_110_0 = use & all_110_1 = use) % 22.40/3.78 | | % 22.40/3.78 | | BETA: splitting (30) gives: % 22.40/3.78 | | % 22.40/3.78 | | Case 1: % 22.40/3.78 | | | % 22.40/3.78 | | | (31) ~ (all_110_3 = 0) % 22.40/3.78 | | | % 22.40/3.78 | | | REDUCE: (24), (31) imply: % 22.40/3.78 | | | (32) $false % 22.40/3.78 | | | % 22.40/3.78 | | | CLOSE: (32) is inconsistent. % 22.40/3.78 | | | % 22.40/3.78 | | Case 2: % 22.40/3.78 | | | % 22.40/3.78 | | | (33) all_110_0 = use & all_110_1 = use % 22.40/3.78 | | | % 22.40/3.78 | | | ALPHA: (33) implies: % 22.40/3.78 | | | (34) all_110_1 = use % 22.40/3.78 | | | (35) all_110_0 = use % 22.40/3.78 | | | % 22.40/3.78 | | | COMBINE_EQS: (27), (35) imply: % 22.40/3.78 | | | (36) all_82_0 = use % 22.40/3.78 | | | % 22.40/3.78 | | | COMBINE_EQS: (26), (34) imply: % 22.40/3.78 | | | (37) all_82_1 = use % 22.40/3.78 | | | % 22.40/3.78 | | | BETA: splitting (16) gives: % 22.40/3.78 | | | % 22.40/3.78 | | | Case 1: % 22.40/3.78 | | | | % 22.40/3.78 | | | | (38) ~ (all_82_0 = use) % 22.40/3.78 | | | | % 22.40/3.78 | | | | REDUCE: (36), (38) imply: % 22.40/3.78 | | | | (39) $false % 22.40/3.78 | | | | % 22.40/3.78 | | | | CLOSE: (39) is inconsistent. % 22.40/3.78 | | | | % 22.40/3.78 | | | Case 2: % 22.40/3.78 | | | | % 22.40/3.78 | | | | (40) ~ (all_82_1 = use) % 22.40/3.78 | | | | % 22.40/3.78 | | | | REDUCE: (37), (40) imply: % 22.40/3.78 | | | | (41) $false % 22.40/3.78 | | | | % 22.40/3.78 | | | | CLOSE: (41) is inconsistent. % 22.40/3.78 | | | | % 22.40/3.78 | | | End of split % 22.40/3.78 | | | % 22.40/3.78 | | End of split % 22.40/3.78 | | % 22.40/3.78 | End of split % 22.40/3.78 | % 22.40/3.78 End of proof % 22.40/3.78 % SZS output end Proof for theBenchmark % 22.40/3.78 % 22.40/3.78 3172ms %------------------------------------------------------------------------------