TSTP Solution File: MGT055+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %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 22:26:28 EDT 2022
% Result : Theorem 1.84s 2.05s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 9 09:47:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.84/2.05
% 1.84/2.05 SPASS V 3.9
% 1.84/2.05 SPASS beiseite: Proof found.
% 1.84/2.05 % SZS status Theorem
% 1.84/2.05 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/2.05 SPASS derived 7921 clauses, backtracked 250 clauses, performed 4 splits and kept 1825 clauses.
% 1.84/2.05 SPASS allocated 103594 KBytes.
% 1.84/2.05 SPASS spent 0:00:01.70 on the problem.
% 1.84/2.05 0:00:00.04 for the input.
% 1.84/2.05 0:00:00.03 for the FLOTTER CNF translation.
% 1.84/2.05 0:00:00.11 for inferences.
% 1.84/2.05 0:00:00.01 for the backtracking.
% 1.84/2.05 0:00:01.48 for the reduction.
% 1.84/2.05
% 1.84/2.05
% 1.84/2.05 Here is a proof with depth 5, length 86 :
% 1.84/2.05 % SZS output start Refutation
% 1.84/2.05 1[0:Inp] || -> organization(skc5)*.
% 1.84/2.05 2[0:Inp] || -> has_endowment(skc5)*.
% 1.84/2.05 3[0:Inp] || -> greater(eta,zero)*r.
% 1.84/2.05 4[0:Inp] || -> greater(sigma,eta)*l.
% 1.84/2.05 5[0:Inp] || -> greater(age(skc5,skc9),sigma)*l.
% 1.84/2.05 6[0:Inp] || -> smaller_or_equal(age(skc5,skc8),sigma)*.
% 1.84/2.05 7[0:Inp] || -> greater(age(skc5,skc8),eta)*l.
% 1.84/2.05 8[0:Inp] || -> smaller_or_equal(age(skc5,skc7),eta)*.
% 1.84/2.05 9[0:Inp] || -> equal(age(skc5,skc6),zero)**.
% 1.84/2.05 11[0:Inp] || dissimilar(u,v,w)* -> organization(u).
% 1.84/2.05 12[0:Inp] || smaller(u,v)* -> smaller_or_equal(u,v).
% 1.84/2.05 16[0:Inp] || smaller(u,v)* -> greater(v,u).
% 1.84/2.05 17[0:Inp] || greater(u,v) -> smaller(v,u)*.
% 1.84/2.05 18[0:Inp] || greater(u,v)*+ greater(v,u)* -> .
% 1.84/2.05 20[0:Inp] || smaller_or_equal(u,v) -> equal(u,v) smaller(u,v)*.
% 1.84/2.05 23[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 1.84/2.05 24[0:Inp] has_endowment(u) || smaller_or_equal(age(u,v),eta)* -> has_immunity(u,v).
% 1.84/2.05 25[0:Inp] organization(u) || equal(age(u,v),zero)** -> is_aligned(u,v).
% 1.84/2.05 26[0:Inp] has_endowment(u) || has_immunity(u,v) greater(age(u,v),eta)*l -> .
% 1.84/2.05 27[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)* -> .
% 1.84/2.05 29[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) dissimilar(u,v,w)*.
% 1.84/2.05 34[0:Inp] organization(u) || has_immunity(u,v) -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.84/2.05 35[0:Inp] organization(u) || is_aligned(u,v) -> is_aligned(u,w) greater(capability(u,v),capability(u,w))*.
% 1.84/2.05 36[0:Inp] organization(u) || has_immunity(u,v) has_immunity(u,w) -> equal(hazard_of_mortality(u,v),hazard_of_mortality(u,w))*.
% 1.84/2.05 37[0:Inp] organization(u) || greater(age(u,v),sigma) equal(age(u,w),zero) -> dissimilar(u,w,v)*.
% 1.84/2.05 38[0:Inp] organization(u) || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 1.84/2.05 39[0:Inp] organization(u) || greater(capability(u,v),capability(u,w))* -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v)) has_immunity(u,v).
% 1.84/2.05 40[0:Inp] || equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6)) greater(hazard_of_mortality(skc5,skc8),hazard_of_mortality(skc5,skc7)) greater(hazard_of_mortality(skc5,skc9),hazard_of_mortality(skc5,skc8))*l -> .
% 1.84/2.05 41[0:MRR:38.0,11.1] || equal(age(u,v),zero) dissimilar(u,v,w)* -> greater(age(u,w),sigma).
% 1.84/2.05 42[0:MRR:39.4,34.1] organization(u) || greater(capability(u,v),capability(u,w))* -> has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v)).
% 1.84/2.05 43[0:Res:2.0,26.0] || has_immunity(skc5,u) greater(age(skc5,u),eta)*l -> .
% 1.84/2.05 44[0:Res:2.0,24.0] || smaller_or_equal(age(skc5,u),eta)* -> has_immunity(skc5,u).
% 1.84/2.05 49[0:Res:1.0,34.0] || has_immunity(skc5,u) -> has_immunity(skc5,v) greater(hazard_of_mortality(skc5,v),hazard_of_mortality(skc5,u))*.
% 1.84/2.05 52[0:Res:1.0,36.0] || has_immunity(skc5,u) has_immunity(skc5,v) -> equal(hazard_of_mortality(skc5,u),hazard_of_mortality(skc5,v))*.
% 1.84/2.05 55[0:Res:1.0,29.0] || is_aligned(skc5,u) -> is_aligned(skc5,v) dissimilar(skc5,u,v)*.
% 1.84/2.05 57[0:Res:1.0,25.0] || equal(age(skc5,u),zero)** -> is_aligned(skc5,u).
% 1.84/2.05 58[0:Res:9.0,41.0] || dissimilar(skc5,skc6,u)* -> greater(age(skc5,u),sigma).
% 1.84/2.05 60[0:Res:9.0,25.1] organization(skc5) || -> is_aligned(skc5,skc6)*.
% 1.84/2.05 65[0:Res:8.0,24.1] has_endowment(skc5) || -> has_immunity(skc5,skc7)*.
% 1.84/2.05 67[0:Res:6.0,20.0] || -> equal(age(skc5,skc8),sigma) smaller(age(skc5,skc8),sigma)*.
% 1.84/2.05 74[0:Res:3.0,17.0] || -> smaller(zero,eta)*.
% 1.84/2.05 76[0:Res:7.0,26.2] has_endowment(skc5) || has_immunity(skc5,skc8)* -> .
% 1.84/2.05 81[0:Res:5.0,37.2] organization(skc5) || equal(age(skc5,u),zero) -> dissimilar(skc5,u,skc9)*.
% 1.84/2.05 90[0:MRR:60.0,1.0] || -> is_aligned(skc5,skc6)*.
% 1.84/2.05 91[0:MRR:65.0,2.0] || -> has_immunity(skc5,skc7)*.
% 1.84/2.05 92[0:MRR:76.0,2.0] || has_immunity(skc5,skc8)* -> .
% 1.84/2.05 93[0:MRR:81.0,1.0] || equal(age(skc5,u),zero) -> dissimilar(skc5,u,skc9)*.
% 1.84/2.05 95[1:Spt:67.0] || -> equal(age(skc5,skc8),sigma)**.
% 1.84/2.05 103[0:Res:74.0,12.0] || -> smaller_or_equal(zero,eta)*.
% 1.84/2.05 110[0:SpL:9.0,44.0] || smaller_or_equal(zero,eta) -> has_immunity(skc5,skc6)*.
% 1.84/2.05 114[0:MRR:110.0,103.0] || -> has_immunity(skc5,skc6)*.
% 1.84/2.05 143[0:Res:93.1,27.2] || equal(age(skc5,u),zero)** is_aligned(skc5,skc9) is_aligned(skc5,u) -> .
% 1.84/2.05 146[0:MRR:143.2,57.1] || equal(age(skc5,u),zero)** is_aligned(skc5,skc9) -> .
% 1.84/2.05 148[0:SpL:9.0,146.0] || equal(zero,zero) is_aligned(skc5,skc9)* -> .
% 1.84/2.05 149[0:Obv:148.0] || is_aligned(skc5,skc9)* -> .
% 1.84/2.05 190[0:Res:55.2,58.0] || is_aligned(skc5,skc6) -> is_aligned(skc5,u) greater(age(skc5,u),sigma)*l.
% 1.84/2.05 193[0:MRR:190.0,90.0] || -> is_aligned(skc5,u) greater(age(skc5,u),sigma)*l.
% 1.84/2.05 194[1:SpR:95.0,193.1] || -> is_aligned(skc5,skc8)* greater(sigma,sigma).
% 1.84/2.05 210[0:NCh:23.2,23.0,43.1,5.0] || has_immunity(skc5,skc9)* greater(sigma,eta) -> .
% 1.84/2.05 215[0:MRR:210.1,4.0] || has_immunity(skc5,skc9)* -> .
% 1.84/2.05 222[0:Res:193.1,18.0] || greater(sigma,age(skc5,u))*r -> is_aligned(skc5,u).
% 1.84/2.05 260[1:SpL:95.0,222.0] || greater(sigma,sigma) -> is_aligned(skc5,skc8)*.
% 1.84/2.05 263[1:MRR:260.0,194.1] || -> is_aligned(skc5,skc8)*.
% 1.84/2.05 857[0:Res:35.3,42.1] organization(u) organization(u) || is_aligned(u,v) -> is_aligned(u,w) has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.84/2.05 877[0:Obv:857.0] organization(u) || is_aligned(u,v) -> is_aligned(u,w) has_immunity(u,w) greater(hazard_of_mortality(u,w),hazard_of_mortality(u,v))*.
% 1.84/2.05 3354[0:Res:877.4,40.2] organization(skc5) || is_aligned(skc5,skc8) equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6)) greater(hazard_of_mortality(skc5,skc8),hazard_of_mortality(skc5,skc7))*l -> is_aligned(skc5,skc9) has_immunity(skc5,skc9).
% 1.84/2.05 3427[0:SSi:3354.0,2.0,1.0] || is_aligned(skc5,skc8) equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6)) greater(hazard_of_mortality(skc5,skc8),hazard_of_mortality(skc5,skc7))*l -> is_aligned(skc5,skc9) has_immunity(skc5,skc9).
% 1.84/2.05 3428[1:MRR:3427.0,3427.3,3427.4,263.0,149.0,215.0] || equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6)) greater(hazard_of_mortality(skc5,skc8),hazard_of_mortality(skc5,skc7))*l -> .
% 1.84/2.05 5293[1:Res:49.2,3428.1] || has_immunity(skc5,skc7) equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6))** -> has_immunity(skc5,skc8).
% 1.84/2.05 5316[1:MRR:5293.0,5293.2,91.0,92.0] || equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6))** -> .
% 1.84/2.05 5319[1:SpL:52.2,5316.0] || has_immunity(skc5,u) has_immunity(skc5,skc7) equal(hazard_of_mortality(skc5,u),hazard_of_mortality(skc5,skc6))* -> .
% 1.84/2.05 5321[1:MRR:5319.1,91.0] || has_immunity(skc5,u) equal(hazard_of_mortality(skc5,u),hazard_of_mortality(skc5,skc6))* -> .
% 1.84/2.05 5322[1:EqR:5321.1] || has_immunity(skc5,skc6)* -> .
% 1.84/2.05 5331[1:MRR:5322.0,114.0] || -> .
% 1.84/2.05 5341[1:Spt:5331.0,67.0,95.0] || equal(age(skc5,skc8),sigma)** -> .
% 1.84/2.05 5342[1:Spt:5331.0,67.1] || -> smaller(age(skc5,skc8),sigma)*.
% 1.84/2.05 5345[0:MRR:3427.3,3427.4,149.0,215.0] || is_aligned(skc5,skc8) equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6)) greater(hazard_of_mortality(skc5,skc8),hazard_of_mortality(skc5,skc7))*l -> .
% 1.84/2.05 5350[1:Res:5342.0,16.0] || -> greater(sigma,age(skc5,skc8))*r.
% 1.84/2.05 5486[1:Res:5350.0,222.0] || -> is_aligned(skc5,skc8)*.
% 1.84/2.05 5556[1:MRR:5345.0,5486.0] || equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6)) greater(hazard_of_mortality(skc5,skc8),hazard_of_mortality(skc5,skc7))*l -> .
% 1.84/2.05 8398[1:Res:49.2,5556.1] || has_immunity(skc5,skc7) equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6))** -> has_immunity(skc5,skc8).
% 1.84/2.05 8423[1:MRR:8398.0,8398.2,91.0,92.0] || equal(hazard_of_mortality(skc5,skc7),hazard_of_mortality(skc5,skc6))** -> .
% 1.84/2.05 8426[1:SpL:52.2,8423.0] || has_immunity(skc5,u) has_immunity(skc5,skc7) equal(hazard_of_mortality(skc5,u),hazard_of_mortality(skc5,skc6))* -> .
% 1.84/2.05 8428[1:MRR:8426.1,91.0] || has_immunity(skc5,u) equal(hazard_of_mortality(skc5,u),hazard_of_mortality(skc5,skc6))* -> .
% 1.84/2.05 8430[1:EqR:8428.1] || has_immunity(skc5,skc6)* -> .
% 1.97/2.12 8439[1:MRR:8430.0,114.0] || -> .
% 1.97/2.12 % SZS output end Refutation
% 1.97/2.12 Formulae used in the proof : lemma_8 definition_2 definition_smaller_or_equal definition_smaller meaning_postulate_greater_strict meaning_postulate_greater_transitive definition_1 assumption_13 assumption_3 assumption_14 assumption_2 assumption_15 assumption_16
% 1.97/2.12
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