TSTP Solution File: SWV106+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV106+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 : n009.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 22:54:55 EDT 2023
% Result : Theorem 10.30s 2.15s
% Output : Proof 15.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:52:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.54/0.60 ________ _____
% 0.54/0.60 ___ __ \_________(_)________________________________
% 0.54/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.54/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.54/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.54/0.60
% 0.54/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.54/0.60 (2023-06-19)
% 0.54/0.60
% 0.54/0.60 (c) Philipp Rümmer, 2009-2023
% 0.54/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.54/0.60 Amanda Stjerna.
% 0.54/0.60 Free software under BSD-3-Clause.
% 0.54/0.60
% 0.54/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.54/0.60
% 0.54/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.54/0.62 Running up to 7 provers in parallel.
% 0.54/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.54/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.54/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.54/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.54/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.54/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.54/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.60/1.40 Prover 4: Preprocessing ...
% 4.60/1.43 Prover 1: Preprocessing ...
% 5.13/1.46 Prover 3: Preprocessing ...
% 5.13/1.46 Prover 5: Preprocessing ...
% 5.13/1.46 Prover 2: Preprocessing ...
% 5.13/1.46 Prover 0: Preprocessing ...
% 5.13/1.46 Prover 6: Preprocessing ...
% 9.96/2.10 Prover 5: Constructing countermodel ...
% 10.30/2.14 Prover 5: proved (1514ms)
% 10.30/2.14
% 10.30/2.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.30/2.15
% 10.30/2.15 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.99/2.26 Prover 3: Constructing countermodel ...
% 10.99/2.26 Prover 3: stopped
% 10.99/2.28 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.42/2.29 Prover 6: Constructing countermodel ...
% 11.42/2.29 Prover 6: stopped
% 11.42/2.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.42/2.29 Prover 1: Warning: ignoring some quantifiers
% 11.42/2.31 Prover 7: Preprocessing ...
% 12.15/2.38 Prover 1: Constructing countermodel ...
% 12.49/2.44 Prover 8: Preprocessing ...
% 12.69/2.45 Prover 4: Warning: ignoring some quantifiers
% 12.69/2.45 Prover 10: Preprocessing ...
% 12.69/2.51 Prover 2: Constructing countermodel ...
% 12.69/2.51 Prover 2: stopped
% 12.69/2.51 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.29/2.56 Prover 0: Constructing countermodel ...
% 13.29/2.56 Prover 0: stopped
% 13.29/2.57 Prover 1: Found proof (size 5)
% 13.29/2.57 Prover 1: proved (1946ms)
% 13.29/2.57 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.72/2.59 Prover 4: Constructing countermodel ...
% 13.72/2.62 Prover 11: Preprocessing ...
% 13.72/2.63 Prover 10: Warning: ignoring some quantifiers
% 13.72/2.63 Prover 7: Warning: ignoring some quantifiers
% 13.72/2.64 Prover 4: stopped
% 14.47/2.68 Prover 13: Preprocessing ...
% 14.47/2.68 Prover 10: Constructing countermodel ...
% 14.47/2.70 Prover 11: stopped
% 14.47/2.71 Prover 10: stopped
% 14.47/2.72 Prover 7: Constructing countermodel ...
% 14.86/2.75 Prover 7: stopped
% 15.05/2.76 Prover 8: Warning: ignoring some quantifiers
% 15.05/2.78 Prover 8: Constructing countermodel ...
% 15.05/2.80 Prover 13: stopped
% 15.05/2.81 Prover 8: stopped
% 15.05/2.81
% 15.05/2.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.05/2.81
% 15.05/2.81 % SZS output start Proof for theBenchmark
% 15.05/2.81 Assumptions after simplification:
% 15.05/2.81 ---------------------------------
% 15.05/2.81
% 15.05/2.81 (quaternion_ds1_inuse_0018)
% 15.48/2.85 $i(z_defuse) & $i(xinit_noise_defuse) & $i(xinit_mean_defuse) &
% 15.48/2.85 $i(xinit_defuse) & $i(u_defuse) & $i(n_steps) & $i(sigma_defuse) &
% 15.48/2.85 $i(n_statevars) & $i(rho_defuse) & $i(m_measvars) & $i(use) & $i(n2) & $i(n1)
% 15.48/2.85 & $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (minus(n_steps, n1) = v2
% 15.48/2.85 & minus(n_statevars, n1) = v1 & minus(m_measvars, n1) = v0 & $i(v2) & $i(v1)
% 15.48/2.85 & $i(v0) & ~ true & ! [v3: $i] : ! [v4: $i] : ( ~ (leq(v4, v2) = 0) | ~
% 15.48/2.85 (leq(v3, v0) = 0) | ~ $i(v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] :
% 15.48/2.85 ? [v7: $i] : (a_select3(z_defuse, v3, v4) = v7 & leq(n0, v4) = v6 &
% 15.48/2.85 leq(n0, v3) = v5 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = use))) &
% 15.48/2.85 ! [v3: $i] : ! [v4: $i] : ( ~ (leq(v4, v2) = 0) | ~ (leq(v3, n2) = 0) | ~
% 15.48/2.85 $i(v4) | ~ $i(v3) | ? [v5: any] : ? [v6: any] : ? [v7: $i] :
% 15.48/2.85 (a_select3(u_defuse, v3, v4) = v7 & leq(n0, v4) = v6 & leq(n0, v3) = v5 &
% 15.48/2.85 $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = use))) & ! [v3: $i] : ( ~
% 15.48/2.85 (leq(v3, v1) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5: $i] :
% 15.48/2.85 (a_select2(xinit_noise_defuse, v3) = v5 & leq(n0, v3) = v4 & $i(v5) & ( ~
% 15.48/2.85 (v4 = 0) | v5 = use))) & ! [v3: $i] : ( ~ (leq(v3, v1) = 0) | ~
% 15.48/2.85 $i(v3) | ? [v4: any] : ? [v5: $i] : (a_select2(xinit_mean_defuse, v3) =
% 15.48/2.85 v5 & leq(n0, v3) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 = use))) & ! [v3:
% 15.48/2.85 $i] : ( ~ (leq(v3, v1) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5: $i] :
% 15.48/2.85 (a_select2(xinit_defuse, v3) = v5 & leq(n0, v3) = v4 & $i(v5) & ( ~ (v4 =
% 15.48/2.85 0) | v5 = use))) & ! [v3: $i] : ( ~ (leq(v3, v1) = 0) | ~ $i(v3) |
% 15.48/2.85 ? [v4: any] : ? [v5: $i] : (a_select2(sigma_defuse, v3) = v5 & leq(n0,
% 15.48/2.85 v3) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 = use))) & ! [v3: $i] : ( ~
% 15.48/2.85 (leq(v3, v0) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5: $i] :
% 15.48/2.85 (a_select2(rho_defuse, v3) = v5 & leq(n0, v3) = v4 & $i(v5) & ( ~ (v4 = 0)
% 15.48/2.85 | v5 = use))))
% 15.48/2.85
% 15.48/2.85 (ttrue)
% 15.48/2.85 true
% 15.48/2.85
% 15.48/2.85 Further assumptions not needed in the proof:
% 15.48/2.85 --------------------------------------------
% 15.48/2.86 const_array1_select, const_array2_select, defuse, finite_domain_0,
% 15.48/2.86 finite_domain_1, finite_domain_2, finite_domain_3, finite_domain_4,
% 15.48/2.86 finite_domain_5, gt_0_tptp_minus_1, gt_1_0, gt_1_tptp_minus_1, gt_2_0, gt_2_1,
% 15.48/2.86 gt_2_tptp_minus_1, gt_3_0, gt_3_1, gt_3_2, gt_3_tptp_minus_1, gt_4_0, gt_4_1,
% 15.48/2.86 gt_4_2, gt_4_3, gt_4_tptp_minus_1, gt_5_0, gt_5_1, gt_5_2, gt_5_3, gt_5_4,
% 15.48/2.86 gt_5_tptp_minus_1, gt_succ, irreflexivity_gt, leq_geq, leq_gt1, leq_gt2,
% 15.48/2.86 leq_gt_pred, leq_minus, leq_succ, leq_succ_gt, leq_succ_gt_equiv, leq_succ_succ,
% 15.48/2.86 lt_gt, matrix_symm_aba1, matrix_symm_aba2, matrix_symm_add, matrix_symm_inv,
% 15.48/2.86 matrix_symm_joseph_update, matrix_symm_sub, matrix_symm_trans,
% 15.48/2.86 matrix_symm_update_diagonal, pred_minus_1, pred_succ, reflexivity_leq,
% 15.48/2.86 sel2_update_1, sel2_update_2, sel2_update_3, sel3_update_1, sel3_update_2,
% 15.48/2.86 sel3_update_3, succ_plus_1_l, succ_plus_1_r, succ_plus_2_l, succ_plus_2_r,
% 15.48/2.86 succ_plus_3_l, succ_plus_3_r, succ_plus_4_l, succ_plus_4_r, succ_plus_5_l,
% 15.48/2.86 succ_plus_5_r, succ_pred, succ_tptp_minus_1, successor_1, successor_2,
% 15.48/2.86 successor_3, successor_4, successor_5, sum_plus_base, sum_plus_base_float,
% 15.48/2.86 totality, transitivity_gt, transitivity_leq, uniform_int_rand_ranges_hi,
% 15.48/2.86 uniform_int_rand_ranges_lo
% 15.48/2.86
% 15.48/2.86 Those formulas are unsatisfiable:
% 15.48/2.86 ---------------------------------
% 15.48/2.86
% 15.48/2.86 Begin of proof
% 15.48/2.86 |
% 15.48/2.86 | ALPHA: (quaternion_ds1_inuse_0018) implies:
% 15.48/2.86 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (minus(n_steps, n1) = v2 &
% 15.48/2.86 | minus(n_statevars, n1) = v1 & minus(m_measvars, n1) = v0 & $i(v2) &
% 15.48/2.86 | $i(v1) & $i(v0) & ~ true & ! [v3: $i] : ! [v4: $i] : ( ~ (leq(v4,
% 15.48/2.86 | v2) = 0) | ~ (leq(v3, v0) = 0) | ~ $i(v4) | ~ $i(v3) | ?
% 15.48/2.86 | [v5: any] : ? [v6: any] : ? [v7: $i] : (a_select3(z_defuse, v3,
% 15.48/2.86 | v4) = v7 & leq(n0, v4) = v6 & leq(n0, v3) = v5 & $i(v7) & ( ~
% 15.48/2.86 | (v6 = 0) | ~ (v5 = 0) | v7 = use))) & ! [v3: $i] : ! [v4:
% 15.48/2.86 | $i] : ( ~ (leq(v4, v2) = 0) | ~ (leq(v3, n2) = 0) | ~ $i(v4) | ~
% 15.48/2.86 | $i(v3) | ? [v5: any] : ? [v6: any] : ? [v7: $i] :
% 15.48/2.86 | (a_select3(u_defuse, v3, v4) = v7 & leq(n0, v4) = v6 & leq(n0, v3)
% 15.48/2.86 | = v5 & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = use))) & !
% 15.48/2.86 | [v3: $i] : ( ~ (leq(v3, v1) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5:
% 15.48/2.86 | $i] : (a_select2(xinit_noise_defuse, v3) = v5 & leq(n0, v3) = v4
% 15.48/2.86 | & $i(v5) & ( ~ (v4 = 0) | v5 = use))) & ! [v3: $i] : ( ~
% 15.48/2.86 | (leq(v3, v1) = 0) | ~ $i(v3) | ? [v4: any] : ? [v5: $i] :
% 15.48/2.86 | (a_select2(xinit_mean_defuse, v3) = v5 & leq(n0, v3) = v4 & $i(v5)
% 15.48/2.86 | & ( ~ (v4 = 0) | v5 = use))) & ! [v3: $i] : ( ~ (leq(v3, v1) =
% 15.48/2.86 | 0) | ~ $i(v3) | ? [v4: any] : ? [v5: $i] :
% 15.48/2.86 | (a_select2(xinit_defuse, v3) = v5 & leq(n0, v3) = v4 & $i(v5) & ( ~
% 15.48/2.86 | (v4 = 0) | v5 = use))) & ! [v3: $i] : ( ~ (leq(v3, v1) = 0) |
% 15.48/2.86 | ~ $i(v3) | ? [v4: any] : ? [v5: $i] : (a_select2(sigma_defuse,
% 15.48/2.86 | v3) = v5 & leq(n0, v3) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 =
% 15.48/2.86 | use))) & ! [v3: $i] : ( ~ (leq(v3, v0) = 0) | ~ $i(v3) | ?
% 15.48/2.86 | [v4: any] : ? [v5: $i] : (a_select2(rho_defuse, v3) = v5 & leq(n0,
% 15.48/2.86 | v3) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 = use))))
% 15.48/2.86 |
% 15.48/2.86 | DELTA: instantiating (1) with fresh symbols all_74_0, all_74_1, all_74_2
% 15.48/2.86 | gives:
% 15.48/2.87 | (2) minus(n_steps, n1) = all_74_0 & minus(n_statevars, n1) = all_74_1 &
% 15.48/2.87 | minus(m_measvars, n1) = all_74_2 & $i(all_74_0) & $i(all_74_1) &
% 15.48/2.87 | $i(all_74_2) & ~ true & ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v1,
% 15.48/2.87 | all_74_0) = 0) | ~ (leq(v0, all_74_2) = 0) | ~ $i(v1) | ~
% 15.48/2.87 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] :
% 15.48/2.87 | (a_select3(z_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) =
% 15.48/2.87 | v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = use))) & ! [v0:
% 15.48/2.87 | $i] : ! [v1: $i] : ( ~ (leq(v1, all_74_0) = 0) | ~ (leq(v0, n2) =
% 15.48/2.87 | 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4:
% 15.48/2.87 | $i] : (a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 &
% 15.48/2.87 | leq(n0, v0) = v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 =
% 15.48/2.87 | use))) & ! [v0: $i] : ( ~ (leq(v0, all_74_1) = 0) | ~ $i(v0) |
% 15.48/2.87 | ? [v1: any] : ? [v2: $i] : (a_select2(xinit_noise_defuse, v0) = v2 &
% 15.48/2.87 | leq(n0, v0) = v1 & $i(v2) & ( ~ (v1 = 0) | v2 = use))) & ! [v0:
% 15.48/2.87 | $i] : ( ~ (leq(v0, all_74_1) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 15.48/2.87 | [v2: $i] : (a_select2(xinit_mean_defuse, v0) = v2 & leq(n0, v0) = v1
% 15.48/2.87 | & $i(v2) & ( ~ (v1 = 0) | v2 = use))) & ! [v0: $i] : ( ~ (leq(v0,
% 15.48/2.87 | all_74_1) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] :
% 15.48/2.87 | (a_select2(xinit_defuse, v0) = v2 & leq(n0, v0) = v1 & $i(v2) & ( ~
% 15.48/2.87 | (v1 = 0) | v2 = use))) & ! [v0: $i] : ( ~ (leq(v0, all_74_1) =
% 15.48/2.87 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] :
% 15.48/2.87 | (a_select2(sigma_defuse, v0) = v2 & leq(n0, v0) = v1 & $i(v2) & ( ~
% 15.48/2.87 | (v1 = 0) | v2 = use))) & ! [v0: $i] : ( ~ (leq(v0, all_74_2) =
% 15.48/2.87 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] :
% 15.48/2.87 | (a_select2(rho_defuse, v0) = v2 & leq(n0, v0) = v1 & $i(v2) & ( ~ (v1
% 15.48/2.87 | = 0) | v2 = use)))
% 15.48/2.87 |
% 15.48/2.87 | ALPHA: (2) implies:
% 15.48/2.87 | (3) ~ true
% 15.48/2.87 |
% 15.48/2.87 | PRED_UNIFY: (3), (ttrue) imply:
% 15.48/2.87 | (4) $false
% 15.48/2.87 |
% 15.48/2.87 | CLOSE: (4) is inconsistent.
% 15.48/2.87 |
% 15.48/2.87 End of proof
% 15.48/2.87 % SZS output end Proof for theBenchmark
% 15.48/2.87
% 15.48/2.87 2267ms
%------------------------------------------------------------------------------