TSTP Solution File: SEU303+1 by Goeland---1.0.0
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- Process Solution
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% File : Goeland---1.0.0
% Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.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 : 300s
% DateTime : Tue Sep 20 05:56:24 EDT 2022
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% 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 : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Sep 3 11:53:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 [DMT] DMT loaded with preskolemization
% 0.11/0.33 [EQ] equality loaded.
% 0.11/0.33 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.33 Start search
% 0.11/0.33 nb_step : 1 - limit : 5
% 0.11/0.33 Launch Gotab with destructive = true
% 0.18/0.37 % SZS output start Proof for theBenchmark.p
% 0.18/0.37 [0] ALPHA_AND : ($true & $true & $true & ! [A2_2, B3_3] : ((((relation(A2_2) & function(A2_2)) & finite(B3_3)) => finite(relation_image(A2_2, B3_3)))) & ? [A4_4] : ((relation(A4_4) & function(A4_4))) & ! [A5_5] : ((relation(A5_5) => =(relation_image(A5_5, relation_dom(A5_5)), relation_rng(A5_5)))) & ! [A6_6, B7_7] : (((relation(B7_7) & function(B7_7)) => (finite(A6_6) => finite(relation_image(B7_7, A6_6))))) & ~! [A8_8] : (((relation(A8_8) & function(A8_8)) => (finite(relation_dom(A8_8)) => finite(relation_rng(A8_8))))))
% 0.18/0.37 -> [1] $true, ! [A2_2, B3_3] : ((((relation(A2_2) & function(A2_2)) & finite(B3_3)) => finite(relation_image(A2_2, B3_3)))), ? [A4_4] : ((relation(A4_4) & function(A4_4))), ! [A5_5] : ((relation(A5_5) => =(relation_image(A5_5, relation_dom(A5_5)), relation_rng(A5_5)))), ! [A6_6, B7_7] : (((relation(B7_7) & function(B7_7)) => (finite(A6_6) => finite(relation_image(B7_7, A6_6))))), ~! [A8_8] : (((relation(A8_8) & function(A8_8)) => (finite(relation_dom(A8_8)) => finite(relation_rng(A8_8)))))
% 0.18/0.37
% 0.18/0.37 [1] DELTA_EXISTS : ? [A4_4] : ((relation(A4_4) & function(A4_4)))
% 0.18/0.37 -> [2] (relation(skolem_A44) & function(skolem_A44))
% 0.18/0.37
% 0.18/0.37 [2] ALPHA_AND : (relation(skolem_A44) & function(skolem_A44))
% 0.18/0.37 -> [3] relation(skolem_A44), function(skolem_A44)
% 0.18/0.37
% 0.18/0.37 [3] DELTA_NOT_FORALL : ~! [A8_8] : (((relation(A8_8) & function(A8_8)) => (finite(relation_dom(A8_8)) => finite(relation_rng(A8_8)))))
% 0.18/0.37 -> [4] ~((relation(skolem_A88) & function(skolem_A88)) => (finite(relation_dom(skolem_A88)) => finite(relation_rng(skolem_A88))))
% 0.18/0.37
% 0.18/0.37 [4] ALPHA_NOT_IMPLY : ~((relation(skolem_A88) & function(skolem_A88)) => (finite(relation_dom(skolem_A88)) => finite(relation_rng(skolem_A88))))
% 0.18/0.37 -> [5] (relation(skolem_A88) & function(skolem_A88)), ~(finite(relation_dom(skolem_A88)) => finite(relation_rng(skolem_A88)))
% 0.18/0.37
% 0.18/0.37 [5] ALPHA_AND : (relation(skolem_A88) & function(skolem_A88))
% 0.18/0.37 -> [6] relation(skolem_A88), function(skolem_A88)
% 0.18/0.37
% 0.18/0.37 [6] ALPHA_NOT_IMPLY : ~(finite(relation_dom(skolem_A88)) => finite(relation_rng(skolem_A88)))
% 0.18/0.37 -> [7] finite(relation_dom(skolem_A88)), ~finite(relation_rng(skolem_A88))
% 0.18/0.37
% 0.18/0.37 [7] GAMMA_FORALL : ! [A2_2, B3_3] : ((((relation(A2_2) & function(A2_2)) & finite(B3_3)) => finite(relation_image(A2_2, B3_3))))
% 0.18/0.37 -> [8] (((relation(skolem_A88) & function(skolem_A88)) & finite(relation_dom(skolem_A88))) => finite(relation_image(skolem_A88, relation_dom(skolem_A88))))
% 0.18/0.37
% 0.18/0.37 [8] BETA_IMPLY : (((relation(skolem_A88) & function(skolem_A88)) & finite(relation_dom(skolem_A88))) => finite(relation_image(skolem_A88, relation_dom(skolem_A88))))
% 0.18/0.37 -> [9] ~((relation(skolem_A88) & function(skolem_A88)) & finite(relation_dom(skolem_A88)))
% 0.18/0.37 -> [10] finite(relation_image(skolem_A88, relation_dom(skolem_A88)))
% 0.18/0.37
% 0.18/0.37 [9] BETA_NOT_AND : ~((relation(skolem_A88) & function(skolem_A88)) & finite(relation_dom(skolem_A88)))
% 0.18/0.37 -> [11] ~(relation(skolem_A88) & function(skolem_A88))
% 0.18/0.37 -> [12] ~finite(relation_dom(skolem_A88))
% 0.18/0.37
% 0.18/0.37 [11] BETA_NOT_AND : ~(relation(skolem_A44) & function(skolem_A44))
% 0.18/0.37 -> [13] ~relation(skolem_A44)
% 0.18/0.37 -> [14] ~function(skolem_A44)
% 0.18/0.37
% 0.18/0.37 [13] CLOSURE : ~relation(skolem_A44)
% 0.18/0.37
% 0.18/0.37 [14] CLOSURE : ~function(skolem_A44)
% 0.18/0.37
% 0.18/0.37 [12] CLOSURE : ~finite(relation_dom(skolem_A88))
% 0.18/0.37
% 0.18/0.37 [10] GAMMA_FORALL : ! [A5_5] : ((relation(A5_5) => =(relation_image(A5_5, relation_dom(A5_5)), relation_rng(A5_5))))
% 0.18/0.37 -> [15] (relation(skolem_A88) => =(relation_image(skolem_A88, relation_dom(skolem_A88)), relation_rng(skolem_A88)))
% 0.18/0.37
% 0.18/0.37 [15] BETA_IMPLY : (relation(skolem_A88) => =(relation_image(skolem_A88, relation_dom(skolem_A88)), relation_rng(skolem_A88)))
% 0.18/0.37 -> [16] ~relation(skolem_A88)
% 0.18/0.37 -> [17] =(relation_image(skolem_A88, relation_dom(skolem_A88)), relation_rng(skolem_A88))
% 0.18/0.37
% 0.18/0.37 [16] CLOSURE : ~relation(skolem_A88)
% 0.18/0.37
% 0.18/0.37 [17] CLOSURE : =
% 0.18/0.37
% 0.18/0.37 % SZS output end Proof for theBenchmark.p
% 0.18/0.37 [0.036784s][1][Res] 144 goroutines created
% 0.18/0.37 ==== Result ====
% 0.18/0.37 [0.036802s][1][Res] VALID
% 0.18/0.37 % SZS status Theorem for theBenchmark.p
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