%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT060-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:19:58 AM UTC 2026 % Result : Unsatisfiable 0.22s 0.51s % Output : Refutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT060-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.03 % Command : run_spass %d %s % 0.09/0.37 % Computer : n001.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Mon Sep 7 13:39:37 UTC 2026 % 0.09/0.37 % CPUTime : % 0.22/0.51 % 0.22/0.51 SPASS V 3.9 % 0.22/0.51 SPASS beiseite: Proof found. % 0.22/0.51 % SZS status Theorem % 0.22/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.22/0.51 SPASS derived 138 clauses, backtracked 87 clauses, performed 8 splits and kept 221 clauses. % 0.22/0.51 SPASS allocated 75700 KBytes. % 0.22/0.51 SPASS spent 0:00:00.12 on the problem. % 0.22/0.51 0:00:00.06 for the input. % 0.22/0.51 0:00:00.00 for the FLOTTER CNF translation. % 0.22/0.51 0:00:00.00 for inferences. % 0.22/0.51 0:00:00.00 for the backtracking. % 0.22/0.51 0:00:00.01 for the reduction. % 0.22/0.51 % 0.22/0.51 % 0.22/0.51 Here is a proof with depth 2, length 71 : % 0.22/0.51 % SZS output start Refutation % 0.22/0.51 1[0:Inp] organization(u) || has_immunity(u,v) -> equal(hazard_of_mortality(u,v),very_low)**. % 0.22/0.51 2[0:Inp] organization(u) || positional_advantage(u,v) is_aligned(u,v) -> has_immunity(u,v) equal(hazard_of_mortality(u,v),low)**. % 0.22/0.51 3[0:Inp] organization(u) || positional_advantage(u,v) -> is_aligned(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),mod1)**. % 0.22/0.51 4[0:Inp] organization(u) || is_aligned(u,v) -> positional_advantage(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),mod2)**. % 0.22/0.51 5[0:Inp] organization(u) || -> positional_advantage(u,v) is_aligned(u,v) has_immunity(u,v) equal(hazard_of_mortality(u,v),high)**. % 0.22/0.51 6[0:Inp] || -> greater(high,mod1)*l. % 0.22/0.51 7[0:Inp] || -> greater(mod1,low)*l. % 0.22/0.51 8[0:Inp] || -> greater(low,very_low)*l. % 0.22/0.51 9[0:Inp] || -> greater(high,mod2)*l. % 0.22/0.51 10[0:Inp] || -> greater(mod2,low)*l. % 0.22/0.51 11[0:Inp] || -> organization(sk1)*. % 0.22/0.51 12[0:Inp] || -> has_immunity(sk1,sk2)*. % 0.22/0.51 13[0:Inp] || has_immunity(sk1,sk3)* -> . % 0.22/0.51 14[0:Inp] || greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))*l -> . % 0.22/0.51 24[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*. % 0.22/0.51 25[0:Inp] || -> greater(u,v) equal(u,v) smaller(u,v)*. % 0.22/0.51 31[0:Res:12.0,1.1] organization(sk1) || -> equal(hazard_of_mortality(sk1,sk2),very_low)**. % 0.22/0.51 32[0:Res:2.3,13.0] organization(sk1) || is_aligned(sk1,sk3) positional_advantage(sk1,sk3) -> equal(hazard_of_mortality(sk1,sk3),low)**. % 0.22/0.51 33[0:Res:3.2,13.0] organization(sk1) || positional_advantage(sk1,sk3) -> is_aligned(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),mod1)**. % 0.22/0.51 34[0:Res:4.2,13.0] organization(sk1) || is_aligned(sk1,sk3) -> positional_advantage(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),mod2)**. % 0.22/0.51 35[0:Res:5.1,13.0] organization(sk1) || -> is_aligned(sk1,sk3) positional_advantage(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),high)**. % 0.22/0.51 37[0:Res:25.2,14.0] || -> smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))* equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)). % 0.22/0.51 39[0:MRR:31.0,11.0] || -> equal(hazard_of_mortality(sk1,sk2),very_low)**. % 0.22/0.51 40[0:Rew:39.0,14.0] || greater(hazard_of_mortality(sk1,sk3),very_low)*l -> . % 0.22/0.51 42[0:MRR:35.0,11.0] || -> positional_advantage(sk1,sk3) is_aligned(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),high)**. % 0.22/0.51 43[0:Rew:39.0,37.1,39.0,37.0] || -> equal(hazard_of_mortality(sk1,sk3),very_low) smaller(hazard_of_mortality(sk1,sk3),very_low)*. % 0.22/0.51 44[0:MRR:33.0,11.0] || positional_advantage(sk1,sk3) -> is_aligned(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),mod1)**. % 0.22/0.51 45[0:MRR:34.0,11.0] || is_aligned(sk1,sk3) -> positional_advantage(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),mod2)**. % 0.22/0.51 47[0:MRR:32.0,11.0] || positional_advantage(sk1,sk3) is_aligned(sk1,sk3) -> equal(hazard_of_mortality(sk1,sk3),low)**. % 0.22/0.51 53[1:Spt:45.2] || -> equal(hazard_of_mortality(sk1,sk3),mod2)**. % 0.22/0.51 58[1:Rew:53.0,40.0] || greater(mod2,very_low)*l -> . % 0.22/0.51 88[1:NCh:24.2,24.0,58.0,10.0] || greater(low,very_low)*l -> . % 0.22/0.51 90[1:MRR:88.0,8.0] || -> . % 0.22/0.51 91[1:Spt:90.0,45.2,53.0] || equal(hazard_of_mortality(sk1,sk3),mod2)** -> . % 0.22/0.51 92[1:Spt:90.0,45.0,45.1] || is_aligned(sk1,sk3) -> positional_advantage(sk1,sk3)*. % 0.22/0.51 93[1:MRR:42.1,92.0] || -> positional_advantage(sk1,sk3) equal(hazard_of_mortality(sk1,sk3),high)**. % 0.22/0.51 94[1:MRR:47.0,92.1] || is_aligned(sk1,sk3) -> equal(hazard_of_mortality(sk1,sk3),low)**. % 0.22/0.51 95[2:Spt:44.2] || -> equal(hazard_of_mortality(sk1,sk3),mod1)**. % 0.22/0.51 100[2:Rew:95.0,40.0] || greater(mod1,very_low)*l -> . % 0.22/0.51 137[2:NCh:24.2,24.0,100.0,7.0] || greater(low,very_low)*l -> . % 0.22/0.51 139[2:MRR:137.0,8.0] || -> . % 0.22/0.51 140[2:Spt:139.0,44.2,95.0] || equal(hazard_of_mortality(sk1,sk3),mod1)** -> . % 0.22/0.51 141[2:Spt:139.0,44.0,44.1] || positional_advantage(sk1,sk3)* -> is_aligned(sk1,sk3). % 0.22/0.51 143[3:Spt:43.0] || -> equal(hazard_of_mortality(sk1,sk3),very_low)**. % 0.22/0.51 147[3:Rew:143.0,93.1] || -> positional_advantage(sk1,sk3)* equal(high,very_low). % 0.22/0.51 148[3:Rew:143.0,94.1] || is_aligned(sk1,sk3)* -> equal(low,very_low). % 0.22/0.51 149[3:Rew:143.0,40.0] || greater(very_low,very_low)* -> . % 0.22/0.51 151[4:Spt:147.0] || -> positional_advantage(sk1,sk3)*. % 0.22/0.51 152[4:MRR:141.0,151.0] || -> is_aligned(sk1,sk3)*. % 0.22/0.51 153[4:MRR:148.0,152.0] || -> equal(low,very_low)**. % 0.22/0.51 154[4:Rew:153.0,8.0] || -> greater(very_low,very_low)*. % 0.22/0.51 159[4:MRR:154.0,149.0] || -> . % 0.22/0.51 162[4:Spt:159.0,147.0,151.0] || positional_advantage(sk1,sk3)* -> . % 0.22/0.51 163[4:Spt:159.0,147.1] || -> equal(high,very_low)**. % 0.22/0.51 164[4:Rew:163.0,9.0] || -> greater(very_low,mod2)*r. % 0.22/0.51 172[4:OCh:24.1,24.0,164.0,10.0] || -> greater(very_low,low)*r. % 0.22/0.51 174[4:OCh:24.1,24.0,172.0,8.0] || -> greater(very_low,very_low)*. % 0.22/0.51 175[4:MRR:174.0,149.0] || -> . % 0.22/0.51 176[3:Spt:175.0,43.0,143.0] || equal(hazard_of_mortality(sk1,sk3),very_low)** -> . % 0.22/0.51 177[3:Spt:175.0,43.1] || -> smaller(hazard_of_mortality(sk1,sk3),very_low)*. % 0.22/0.51 182[4:Spt:93.1] || -> equal(hazard_of_mortality(sk1,sk3),high)**. % 0.22/0.51 191[4:Rew:182.0,40.0] || greater(high,very_low)*l -> . % 0.22/0.51 195[4:NCh:24.2,24.0,191.0,6.0] || greater(mod1,very_low)*l -> . % 0.22/0.51 199[4:NCh:24.2,24.0,195.0,7.0] || greater(low,very_low)*l -> . % 0.22/0.51 201[4:MRR:199.0,8.0] || -> . % 0.22/0.51 202[4:Spt:201.0,93.1,182.0] || equal(hazard_of_mortality(sk1,sk3),high)** -> . % 0.22/0.51 203[4:Spt:201.0,93.0] || -> positional_advantage(sk1,sk3)*. % 0.22/0.51 204[4:MRR:141.0,203.0] || -> is_aligned(sk1,sk3)*. % 0.22/0.51 205[4:MRR:94.0,204.0] || -> equal(hazard_of_mortality(sk1,sk3),low)**. % 0.22/0.51 214[4:Rew:205.0,40.0] || greater(low,very_low)*l -> . % 0.22/0.51 215[4:MRR:214.0,8.0] || -> . % 0.22/0.51 % SZS output end Refutation % 0.22/0.51 Formulae used in the proof : assumption_17_32 assumption_17_33 assumption_17_34 assumption_17_35 assumption_17_36 assumption_18a_37 assumption_18b_38 assumption_18c_39 assumption_18d_40 assumption_18e_41 assumption_3_42 assumption_3_43 assumption_3_44 assumption_3_45 meaning_postulate_greater_transitive_10 meaning_postulate_greater_comparable_11 % 0.22/0.51 %------------------------------------------------------------------------------