TSTP Solution File: MGT053-1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : MGT053-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 22:26:27 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT053-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 11:35:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 95 clauses, backtracked 10 clauses, performed 3 splits and kept 68 clauses.
% 0.20/0.42 SPASS allocated 75682 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 6, length 41 :
% 0.20/0.42 % SZS output start Refutation
% 0.20/0.42 1[0:Inp] || dissimilar(u,v,w)*+ -> organization(u).
% 0.20/0.42 2[0:Inp] || dissimilar(u,v,w)*+ -> is_aligned(u,w) is_aligned(u,v).
% 0.20/0.42 3[0:Inp] || is_aligned(u,v) is_aligned(u,w) dissimilar(u,w,v)*+ -> .
% 0.20/0.42 5[0:Inp] organization(u) || is_aligned(u,v)+ -> is_aligned(u,w) dissimilar(u,v,w)*.
% 0.20/0.42 6[0:Inp] organization(u) || is_aligned(u,v)+ -> is_aligned(u,w) dissimilar(u,w,v)*.
% 0.20/0.42 8[0:Inp] || -> dissimilar(sk1,sk3,sk2)* dissimilar(sk1,sk2,sk3).
% 0.20/0.42 11[0:Inp] || dissimilar(sk1,sk2,sk3) dissimilar(sk1,sk3,sk2)* -> .
% 0.20/0.42 25[1:Spt:8.0] || -> dissimilar(sk1,sk3,sk2)*.
% 0.20/0.42 26[1:MRR:11.1,25.0] || dissimilar(sk1,sk2,sk3)*+ -> .
% 0.20/0.42 27[1:Res:25.0,1.0] || -> organization(sk1)*.
% 0.20/0.42 29[1:Res:25.0,2.0] || -> is_aligned(sk1,sk2) is_aligned(sk1,sk3)*.
% 0.20/0.42 30[1:Res:25.0,3.2] || is_aligned(sk1,sk2)+ is_aligned(sk1,sk3)* -> .
% 0.20/0.42 35[1:Res:29.1,6.1] organization(sk1) || -> is_aligned(sk1,sk2) is_aligned(sk1,u) dissimilar(sk1,u,sk3)*.
% 0.20/0.42 36[1:SSi:35.0,27.0] || -> is_aligned(sk1,sk2) is_aligned(sk1,u) dissimilar(sk1,u,sk3)*.
% 0.20/0.42 37[2:Spt:36.0] || -> is_aligned(sk1,sk2)*.
% 0.20/0.42 38[2:MRR:30.0,37.0] || is_aligned(sk1,sk3)*+ -> .
% 0.20/0.42 46[2:Res:37.0,5.1] organization(sk1) || -> is_aligned(sk1,u) dissimilar(sk1,sk2,u)*.
% 0.20/0.42 47[2:SSi:46.0,27.0] || -> is_aligned(sk1,u) dissimilar(sk1,sk2,u)*.
% 0.20/0.42 52[2:Res:47.1,26.0] || -> is_aligned(sk1,sk3)*.
% 0.20/0.42 53[2:MRR:52.0,38.0] || -> .
% 0.20/0.42 56[2:Spt:53.0,36.0,37.0] || is_aligned(sk1,sk2)* -> .
% 0.20/0.42 57[2:Spt:53.0,36.1,36.2] || -> is_aligned(sk1,u) dissimilar(sk1,u,sk3)*.
% 0.20/0.42 62[2:Res:57.1,26.0] || -> is_aligned(sk1,sk2)*.
% 0.20/0.42 63[2:MRR:62.0,56.0] || -> .
% 0.20/0.42 66[1:Spt:63.0,8.0,25.0] || dissimilar(sk1,sk3,sk2)*+ -> .
% 0.20/0.42 67[1:Spt:63.0,8.1] || -> dissimilar(sk1,sk2,sk3)*.
% 0.20/0.42 68[1:Res:67.0,2.0] || -> is_aligned(sk1,sk3)* is_aligned(sk1,sk2).
% 0.20/0.42 69[1:Res:67.0,1.0] || -> organization(sk1)*.
% 0.20/0.42 70[1:Res:67.0,3.2] || is_aligned(sk1,sk3)* is_aligned(sk1,sk2) -> .
% 0.20/0.42 71[2:Spt:68.0] || -> is_aligned(sk1,sk3)*.
% 0.20/0.42 72[2:MRR:70.0,71.0] || is_aligned(sk1,sk2)*+ -> .
% 0.20/0.42 73[2:Res:71.0,5.1] organization(sk1) || -> is_aligned(sk1,u) dissimilar(sk1,sk3,u)*.
% 0.20/0.42 75[2:SSi:73.0,69.0] || -> is_aligned(sk1,u) dissimilar(sk1,sk3,u)*.
% 0.20/0.42 80[2:Res:75.1,66.0] || -> is_aligned(sk1,sk2)*.
% 0.20/0.42 81[2:MRR:80.0,72.0] || -> .
% 0.20/0.42 84[2:Spt:81.0,68.0,71.0] || is_aligned(sk1,sk3)*+ -> .
% 0.20/0.42 85[2:Spt:81.0,68.1] || -> is_aligned(sk1,sk2)*.
% 0.20/0.42 87[2:Res:85.0,6.1] organization(sk1) || -> is_aligned(sk1,u) dissimilar(sk1,u,sk2)*.
% 0.20/0.42 89[2:SSi:87.0,69.0] || -> is_aligned(sk1,u) dissimilar(sk1,u,sk2)*.
% 0.20/0.42 146[2:Res:89.1,66.0] || -> is_aligned(sk1,sk3)*.
% 0.20/0.42 147[2:MRR:146.0,84.0] || -> .
% 0.20/0.42 % SZS output end Refutation
% 0.20/0.42 Formulae used in the proof : definition_2_29 definition_2_30 definition_2_31 definition_2_33 definition_2_34 lemma_7_36 lemma_7_39
% 0.20/0.42
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