TSTP Solution File: MGT060+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 2.81s 1.35s
% Output : Proof 4.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n028.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 08:08:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.60 ____ _
% 0.53/0.60 ___ / __ \_____(_)___ ________ __________
% 0.53/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.60
% 0.53/0.60 A Theorem Prover for First-Order Logic
% 0.53/0.60 (ePrincess v.1.0)
% 0.53/0.60
% 0.53/0.60 (c) Philipp Rümmer, 2009-2015
% 0.53/0.60 (c) Peter Backeman, 2014-2015
% 0.53/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.60 Bug reports to peter@backeman.se
% 0.53/0.60
% 0.53/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.60
% 0.53/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.52/0.92 Prover 0: Preprocessing ...
% 1.86/1.06 Prover 0: Warning: ignoring some quantifiers
% 1.86/1.08 Prover 0: Constructing countermodel ...
% 2.81/1.35 Prover 0: proved (696ms)
% 2.81/1.35
% 2.81/1.35 No countermodel exists, formula is valid
% 2.81/1.35 % SZS status Theorem for theBenchmark
% 2.81/1.35
% 2.81/1.35 Generating proof ... Warning: ignoring some quantifiers
% 3.77/1.54 found it (size 26)
% 3.77/1.54
% 3.77/1.54 % SZS output start Proof for theBenchmark
% 3.77/1.54 Assumed formulas after preprocessing and simplification:
% 3.77/1.54 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (hazard_of_mortality(v0, v2) = v3 & hazard_of_mortality(v0, v1) = v4 & has_immunity(v0, v1) & organization(v0) & greater(high, mod2) & greater(high, mod1) & greater(mod2, low) & greater(mod1, low) & greater(low, very_low) & ~ has_immunity(v0, v2) & ~ greater(v3, v4) & ! [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))
% 3.77/1.57 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 3.77/1.57 | (1) hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_1_1 & hazard_of_mortality(all_0_4_4, all_0_3_3) = all_0_0_0 & has_immunity(all_0_4_4, all_0_3_3) & organization(all_0_4_4) & greater(high, mod2) & greater(high, mod1) & greater(mod2, low) & greater(mod1, low) & greater(low, very_low) & ~ has_immunity(all_0_4_4, all_0_2_2) & ~ greater(all_0_1_1, all_0_0_0) & ! [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)
% 3.77/1.58 |
% 3.77/1.58 | Applying alpha-rule on (1) yields:
% 3.77/1.58 | (2) greater(mod2, low)
% 3.77/1.58 | (3) ! [v0] : ! [v1] : ( ~ greater(v1, v0) | ~ greater(v0, v1))
% 3.77/1.58 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ smaller_or_equal(v0, v1) | smaller(v0, v1))
% 3.77/1.58 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0))
% 3.77/1.58 | (6) ! [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))
% 3.77/1.58 | (7) ! [v0] : ! [v1] : ( ~ greater(v0, v1) | greater_or_equal(v0, v1))
% 3.77/1.58 | (8) ? [v0] : ? [v1] : (v1 = v0 | greater(v0, v1) | smaller(v0, v1))
% 3.77/1.58 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ greater(v1, v2) | ~ greater(v0, v1) | greater(v0, v2))
% 3.77/1.59 | (10) ? [v0] : greater_or_equal(v0, v0)
% 3.77/1.59 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = very_low | ~ (hazard_of_mortality(v0, v1) = v2) | ~ has_immunity(v0, v1) | ~ organization(v0))
% 3.77/1.59 | (12) hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_1_1
% 3.77/1.59 | (13) ! [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))
% 3.77/1.59 | (14) ~ greater(all_0_1_1, all_0_0_0)
% 3.77/1.59 | (15) greater(low, very_low)
% 3.77/1.59 | (16) ! [v0] : ! [v1] : ( ~ smaller(v0, v1) | greater(v1, v0))
% 3.77/1.59 | (17) ! [v0] : ! [v1] : ( ~ greater(v1, v0) | smaller(v0, v1))
% 3.77/1.59 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ greater_or_equal(v0, v1) | greater(v0, v1))
% 3.77/1.59 | (19) ? [v0] : smaller_or_equal(v0, v0)
% 3.77/1.59 | (20) hazard_of_mortality(all_0_4_4, all_0_3_3) = all_0_0_0
% 3.77/1.59 | (21) ! [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))
% 3.77/1.59 | (22) greater(high, mod2)
% 3.77/1.59 | (23) greater(mod1, low)
% 3.77/1.59 | (24) has_immunity(all_0_4_4, all_0_3_3)
% 3.77/1.59 | (25) ~ has_immunity(all_0_4_4, all_0_2_2)
% 3.77/1.59 | (26) ! [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))
% 3.77/1.59 | (27) ! [v0] : ! [v1] : ( ~ smaller(v0, v1) | smaller_or_equal(v0, v1))
% 3.77/1.59 | (28) organization(all_0_4_4)
% 3.77/1.59 | (29) greater(high, mod1)
% 3.77/1.59 |
% 3.77/1.59 | Instantiating formula (11) with all_0_0_0, all_0_3_3, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_3_3) = all_0_0_0, has_immunity(all_0_4_4, all_0_3_3), organization(all_0_4_4), yields:
% 3.77/1.59 | (30) all_0_0_0 = very_low
% 3.77/1.59 |
% 3.77/1.59 | From (30) and (14) follows:
% 3.77/1.59 | (31) ~ greater(all_0_1_1, very_low)
% 3.77/1.59 |
% 3.77/1.59 | Instantiating formula (21) with all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_1_1, organization(all_0_4_4), ~ has_immunity(all_0_4_4, all_0_2_2), yields:
% 3.77/1.59 | (32) all_0_1_1 = high | positional_advantage(all_0_4_4, all_0_2_2) | is_aligned(all_0_4_4, all_0_2_2)
% 3.77/1.59 |
% 3.77/1.59 | Instantiating formula (9) with very_low, low, mod2 and discharging atoms greater(mod2, low), greater(low, very_low), yields:
% 3.77/1.60 | (33) greater(mod2, very_low)
% 3.77/1.60 |
% 3.77/1.60 | Instantiating formula (9) with very_low, low, mod1 and discharging atoms greater(mod1, low), greater(low, very_low), yields:
% 3.77/1.60 | (34) greater(mod1, very_low)
% 3.77/1.60 |
% 3.77/1.60 | Instantiating formula (9) with very_low, mod1, high and discharging atoms greater(high, mod1), greater(mod1, very_low), yields:
% 3.77/1.60 | (35) greater(high, very_low)
% 3.77/1.60 |
% 3.77/1.60 +-Applying beta-rule and splitting (32), into two cases.
% 3.77/1.60 |-Branch one:
% 3.77/1.60 | (36) positional_advantage(all_0_4_4, all_0_2_2)
% 3.77/1.60 |
% 3.77/1.60 | Instantiating formula (6) with all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_1_1, positional_advantage(all_0_4_4, all_0_2_2), organization(all_0_4_4), ~ has_immunity(all_0_4_4, all_0_2_2), yields:
% 3.77/1.60 | (37) all_0_1_1 = mod1 | is_aligned(all_0_4_4, all_0_2_2)
% 3.77/1.60 |
% 3.77/1.60 +-Applying beta-rule and splitting (37), into two cases.
% 3.77/1.60 |-Branch one:
% 3.77/1.60 | (38) is_aligned(all_0_4_4, all_0_2_2)
% 3.77/1.60 |
% 3.77/1.60 | Instantiating formula (13) with all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_1_1, positional_advantage(all_0_4_4, all_0_2_2), is_aligned(all_0_4_4, all_0_2_2), organization(all_0_4_4), ~ has_immunity(all_0_4_4, all_0_2_2), yields:
% 4.03/1.61 | (39) all_0_1_1 = low
% 4.03/1.61 |
% 4.03/1.61 | From (39) and (31) follows:
% 4.03/1.61 | (40) ~ greater(low, very_low)
% 4.03/1.61 |
% 4.03/1.61 | Using (15) and (40) yields:
% 4.03/1.61 | (41) $false
% 4.03/1.61 |
% 4.03/1.61 |-The branch is then unsatisfiable
% 4.03/1.61 |-Branch two:
% 4.03/1.61 | (42) ~ is_aligned(all_0_4_4, all_0_2_2)
% 4.03/1.61 | (43) all_0_1_1 = mod1
% 4.03/1.61 |
% 4.03/1.61 | From (43) and (31) follows:
% 4.03/1.61 | (44) ~ greater(mod1, very_low)
% 4.03/1.61 |
% 4.03/1.61 | Using (34) and (44) yields:
% 4.03/1.61 | (41) $false
% 4.03/1.61 |
% 4.03/1.61 |-The branch is then unsatisfiable
% 4.03/1.61 |-Branch two:
% 4.03/1.61 | (46) ~ positional_advantage(all_0_4_4, all_0_2_2)
% 4.03/1.61 | (47) all_0_1_1 = high | is_aligned(all_0_4_4, all_0_2_2)
% 4.03/1.61 |
% 4.03/1.61 +-Applying beta-rule and splitting (47), into two cases.
% 4.03/1.61 |-Branch one:
% 4.03/1.61 | (38) is_aligned(all_0_4_4, all_0_2_2)
% 4.03/1.61 |
% 4.03/1.61 | Instantiating formula (26) with all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms hazard_of_mortality(all_0_4_4, all_0_2_2) = all_0_1_1, is_aligned(all_0_4_4, all_0_2_2), organization(all_0_4_4), ~ positional_advantage(all_0_4_4, all_0_2_2), ~ has_immunity(all_0_4_4, all_0_2_2), yields:
% 4.03/1.61 | (49) all_0_1_1 = mod2
% 4.03/1.61 |
% 4.03/1.61 | From (49) and (31) follows:
% 4.03/1.61 | (50) ~ greater(mod2, very_low)
% 4.03/1.61 |
% 4.03/1.61 | Using (33) and (50) yields:
% 4.03/1.61 | (41) $false
% 4.03/1.61 |
% 4.03/1.61 |-The branch is then unsatisfiable
% 4.03/1.61 |-Branch two:
% 4.03/1.61 | (42) ~ is_aligned(all_0_4_4, all_0_2_2)
% 4.03/1.61 | (53) all_0_1_1 = high
% 4.03/1.61 |
% 4.03/1.61 | From (53) and (31) follows:
% 4.03/1.61 | (54) ~ greater(high, very_low)
% 4.03/1.61 |
% 4.03/1.61 | Using (35) and (54) yields:
% 4.03/1.61 | (41) $false
% 4.03/1.61 |
% 4.03/1.61 |-The branch is then unsatisfiable
% 4.03/1.61 % SZS output end Proof for theBenchmark
% 4.03/1.61
% 4.03/1.61 1002ms
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