TSTP Solution File: MGT059+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n020.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 : 600s
% DateTime : Sun Jul 17 22:07:14 EDT 2022
% Result : Theorem 2.36s 1.14s
% Output : Proof 3.03s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 08:23:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.58 ____ _
% 0.54/0.58 ___ / __ \_____(_)___ ________ __________
% 0.54/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.58
% 0.54/0.58 A Theorem Prover for First-Order Logic
% 0.54/0.58 (ePrincess v.1.0)
% 0.54/0.58
% 0.54/0.58 (c) Philipp Rümmer, 2009-2015
% 0.54/0.58 (c) Peter Backeman, 2014-2015
% 0.54/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.58 Bug reports to peter@backeman.se
% 0.54/0.58
% 0.54/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.58
% 0.54/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.54/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.45/0.92 Prover 0: Preprocessing ...
% 2.03/1.05 Prover 0: Warning: ignoring some quantifiers
% 2.03/1.07 Prover 0: Constructing countermodel ...
% 2.36/1.14 Prover 0: proved (512ms)
% 2.36/1.14
% 2.36/1.14 No countermodel exists, formula is valid
% 2.36/1.14 % SZS status Theorem for theBenchmark
% 2.36/1.14
% 2.36/1.14 Generating proof ... Warning: ignoring some quantifiers
% 2.77/1.32 found it (size 6)
% 2.77/1.32
% 2.77/1.32 % SZS output start Proof for theBenchmark
% 2.77/1.32 Assumed formulas after preprocessing and simplification:
% 2.77/1.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & hazard_of_mortality(v0, v2) = v4 & hazard_of_mortality(v0, v1) = v3 & has_immunity(v0, v2) & has_immunity(v0, v1) & organization(v0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (hazard_of_mortality(v8, v7) = v6) | ~ (hazard_of_mortality(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v7 = high | ~ (hazard_of_mortality(v5, v6) = v7) | ~ organization(v5) | positional_advantage(v5, v6) | is_aligned(v5, v6) | has_immunity(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : (v7 = mod2 | ~ (hazard_of_mortality(v5, v6) = v7) | ~ is_aligned(v5, v6) | ~ organization(v5) | positional_advantage(v5, v6) | has_immunity(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : (v7 = mod1 | ~ (hazard_of_mortality(v5, v6) = v7) | ~ positional_advantage(v5, v6) | ~ organization(v5) | is_aligned(v5, v6) | has_immunity(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : (v7 = low | ~ (hazard_of_mortality(v5, v6) = v7) | ~ positional_advantage(v5, v6) | ~ is_aligned(v5, v6) | ~ organization(v5) | has_immunity(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : (v7 = very_low | ~ (hazard_of_mortality(v5, v6) = v7) | ~ has_immunity(v5, v6) | ~ organization(v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ greater(v6, v7) | ~ greater(v5, v6) | greater(v5, v7)) & ! [v5] : ! [v6] : (v6 = v5 | ~ greater_or_equal(v5, v6) | greater(v5, v6)) & ! [v5] : ! [v6] : (v6 = v5 | ~ smaller_or_equal(v5, v6) | smaller(v5, v6)) & ! [v5] : ! [v6] : ( ~ greater(v6, v5) | ~ greater(v5, v6)) & ! [v5] : ! [v6] : ( ~ greater(v6, v5) | smaller(v5, v6)) & ! [v5] : ! [v6] : ( ~ greater(v5, v6) | greater_or_equal(v5, v6)) & ! [v5] : ! [v6] : ( ~ smaller(v5, v6) | greater(v6, v5)) & ! [v5] : ! [v6] : ( ~ smaller(v5, v6) | smaller_or_equal(v5, v6)) & ? [v5] : ? [v6] : (v6 = v5 | greater(v5, v6) | smaller(v5, v6)) & ? [v5] : greater_or_equal(v5, v5) & ? [v5] : smaller_or_equal(v5, v5))
% 2.93/1.36 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 2.93/1.36 | (1) ~ (all_0_0_0 = all_0_1_1) & hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_0_0 & hazard_of_mortality(all_0_4_4, all_0_3_3) = all_0_1_1 & has_immunity(all_0_4_4, all_0_2_2) & has_immunity(all_0_4_4, all_0_3_3) & organization(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = high | ~ (hazard_of_mortality(v0, v1) = v2) | ~ organization(v0) | positional_advantage(v0, v1) | is_aligned(v0, v1) | has_immunity(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = mod2 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ is_aligned(v0, v1) | ~ organization(v0) | positional_advantage(v0, v1) | has_immunity(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = mod1 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ positional_advantage(v0, v1) | ~ organization(v0) | is_aligned(v0, v1) | has_immunity(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ positional_advantage(v0, v1) | ~ is_aligned(v0, v1) | ~ organization(v0) | has_immunity(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = very_low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ has_immunity(v0, v1) | ~ organization(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ greater(v1, v2) | ~ greater(v0, v1) | greater(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ greater_or_equal(v0, v1) | greater(v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ smaller_or_equal(v0, v1) | smaller(v0, v1)) & ! [v0] : ! [v1] : ( ~ greater(v1, v0) | ~ greater(v0, v1)) & ! [v0] : ! [v1] : ( ~ greater(v1, v0) | smaller(v0, v1)) & ! [v0] : ! [v1] : ( ~ greater(v0, v1) | greater_or_equal(v0, v1)) & ! [v0] : ! [v1] : ( ~ smaller(v0, v1) | greater(v1, v0)) & ! [v0] : ! [v1] : ( ~ smaller(v0, v1) | smaller_or_equal(v0, v1)) & ? [v0] : ? [v1] : (v1 = v0 | greater(v0, v1) | smaller(v0, v1)) & ? [v0] : greater_or_equal(v0, v0) & ? [v0] : smaller_or_equal(v0, v0)
% 3.03/1.37 |
% 3.03/1.37 | Applying alpha-rule on (1) yields:
% 3.03/1.37 | (2) ! [v0] : ! [v1] : ( ~ greater(v1, v0) | ~ greater(v0, v1))
% 3.03/1.37 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = mod2 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ is_aligned(v0, v1) | ~ organization(v0) | positional_advantage(v0, v1) | has_immunity(v0, v1))
% 3.03/1.37 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 3.03/1.37 | (5) has_immunity(all_0_4_4, all_0_3_3)
% 3.03/1.37 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ smaller_or_equal(v0, v1) | smaller(v0, v1))
% 3.03/1.37 | (7) ! [v0] : ! [v1] : ( ~ greater(v0, v1) | greater_or_equal(v0, v1))
% 3.03/1.37 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = mod1 | ~ (hazard_of_mortality(v0, v1) = v2) | ~ positional_advantage(v0, v1) | ~ organization(v0) | is_aligned(v0, v1) | has_immunity(v0, v1))
% 3.03/1.37 | (9) ? [v0] : ? [v1] : (v1 = v0 | greater(v0, v1) | smaller(v0, v1))
% 3.03/1.37 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ greater(v1, v2) | ~ greater(v0, v1) | greater(v0, v2))
% 3.03/1.37 | (11) ? [v0] : greater_or_equal(v0, v0)
% 3.03/1.37 | (12) ! [v0] : ! [v1] : ! [v2] : (v2 = low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ positional_advantage(v0, v1) | ~ is_aligned(v0, v1) | ~ organization(v0) | has_immunity(v0, v1))
% 3.03/1.37 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = high | ~ (hazard_of_mortality(v0, v1) = v2) | ~ organization(v0) | positional_advantage(v0, v1) | is_aligned(v0, v1) | has_immunity(v0, v1))
% 3.03/1.37 | (14) hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_0_0
% 3.03/1.37 | (15) ~ (all_0_0_0 = all_0_1_1)
% 3.03/1.37 | (16) ! [v0] : ! [v1] : ( ~ smaller(v0, v1) | greater(v1, v0))
% 3.03/1.37 | (17) ! [v0] : ! [v1] : ( ~ greater(v1, v0) | smaller(v0, v1))
% 3.03/1.37 | (18) has_immunity(all_0_4_4, all_0_2_2)
% 3.03/1.37 | (19) ! [v0] : ! [v1] : (v1 = v0 | ~ greater_or_equal(v0, v1) | greater(v0, v1))
% 3.03/1.37 | (20) ? [v0] : smaller_or_equal(v0, v0)
% 3.03/1.37 | (21) hazard_of_mortality(all_0_4_4, all_0_3_3) = all_0_1_1
% 3.03/1.37 | (22) organization(all_0_4_4)
% 3.03/1.37 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = very_low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ has_immunity(v0, v1) | ~ organization(v0))
% 3.03/1.37 | (24) ! [v0] : ! [v1] : ( ~ smaller(v0, v1) | smaller_or_equal(v0, v1))
% 3.03/1.37 |
% 3.03/1.37 | Instantiating formula (23) with all_0_0_0, all_0_2_2, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_0_0, has_immunity(all_0_4_4, all_0_2_2), organization(all_0_4_4), yields:
% 3.03/1.37 | (25) all_0_0_0 = very_low
% 3.03/1.38 |
% 3.03/1.38 | Instantiating formula (23) with all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_3_3) = all_0_1_1, has_immunity(all_0_4_4, all_0_3_3), organization(all_0_4_4), yields:
% 3.03/1.38 | (26) all_0_1_1 = very_low
% 3.03/1.38 |
% 3.03/1.38 | Equations (25,26) can reduce 15 to:
% 3.03/1.38 | (27) $false
% 3.03/1.38 |
% 3.03/1.38 |-The branch is then unsatisfiable
% 3.03/1.38 % SZS output end Proof for theBenchmark
% 3.03/1.38
% 3.03/1.38 790ms
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