TSTP Solution File: DAT023_1 by SPASS+T---2.2.22

View Problem - Process Solution

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% File     : SPASS+T---2.2.22
% Problem  : DAT023_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n024.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 : Sat Jul 16 01:31:49 EDT 2022

% Result   : Theorem 0.76s 1.06s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : DAT023_1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.12  % Command  : spasst-tptp-script %s %d
% 0.12/0.33  % Computer : n024.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 : Fri Jul  1 19:17:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  % Using integer theory
% 0.76/1.06  
% 0.76/1.06  
% 0.76/1.06  % SZS status Theorem for /tmp/SPASST_29041_n024.cluster.edu
% 0.76/1.06  
% 0.76/1.06  SPASS V 2.2.22  in combination with yices.
% 0.76/1.06  SPASS beiseite: Proof found by SPASS.
% 0.76/1.06  Problem: /tmp/SPASST_29041_n024.cluster.edu 
% 0.76/1.06  SPASS derived 49 clauses, backtracked 0 clauses and kept 67 clauses.
% 0.76/1.06  SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.76/1.06  SPASS allocated 6280 KBytes.
% 0.76/1.06  SPASS spent	0:00:00.06 on the problem.
% 0.76/1.06  		0:00:00.00 for the input.
% 0.76/1.06  		0:00:00.00 for the FLOTTER CNF translation.
% 0.76/1.06  		0:00:00.00 for inferences.
% 0.76/1.06  		0:00:00.00 for the backtracking.
% 0.76/1.06  		0:00:00.00 for the reduction.
% 0.76/1.06  		0:00:00.05 for interacting with the SMT procedure.
% 0.76/1.06  		
% 0.76/1.06  
% 0.76/1.06  % SZS output start CNFRefutation for /tmp/SPASST_29041_n024.cluster.edu
% 0.76/1.06  
% 0.76/1.06  % Here is a proof with depth 4, length 22 :
% 0.76/1.06  3[0:Inp] ||  -> collection(skc3)*.
% 0.76/1.06  5[0:Inp] || greater(skc4,2)* -> .
% 0.76/1.06  6[0:Inp] || collection(U) -> collection(remove(V,U))*.
% 0.76/1.06  8[0:Inp] || in(U,skc3)* -> greater(U,0).
% 0.76/1.06  12[0:Inp] ||  -> in(skc4,remove(4,remove(1,remove(2,skc3))))*.
% 0.76/1.06  13[0:Inp] || collection(U) in(V,remove(W,U))* -> in(V,U).
% 0.76/1.06  16[0:Inp] || collection(U) equal(V,W) in(V,remove(W,U))* -> .
% 0.76/1.06  50[0:ArS:5.0] || less(2,skc4)* -> .
% 0.76/1.06  51[0:TOC:50.0] ||  -> lesseq(skc4,2)*.
% 0.76/1.06  52[0:ArS:8.1] || in(U,skc3)* -> less(0,U).
% 0.76/1.06  55[0:Res:3.0,16.0] || equal(U,V) in(U,remove(V,skc3))* -> .
% 0.76/1.06  56[0:Res:3.0,13.0] || in(U,remove(V,skc3))* -> in(U,skc3).
% 0.76/1.06  61[0:Res:3.0,6.0] ||  -> collection(remove(U,skc3))*.
% 0.76/1.06  76[0:Res:12.0,13.1] || collection(remove(1,remove(2,skc3))) -> in(skc4,remove(1,remove(2,skc3)))*.
% 0.76/1.06  97[0:Res:76.1,16.2] || collection(remove(1,remove(2,skc3)))* collection(remove(2,skc3)) equal(skc4,1) -> .
% 0.76/1.06  98[0:Res:76.1,13.1] || collection(remove(1,remove(2,skc3)))* collection(remove(2,skc3)) -> in(skc4,remove(2,skc3)).
% 0.76/1.06  99[0:MRR:97.0,97.1,6.1,61.0] || equal(skc4,1)** -> .
% 0.76/1.06  100[0:MRR:98.0,98.1,6.1,61.0] ||  -> in(skc4,remove(2,skc3))*.
% 0.76/1.06  109[0:Res:100.0,55.1] || equal(skc4,2)** -> .
% 0.76/1.06  110[0:Res:100.0,56.0] ||  -> in(skc4,skc3)*.
% 0.76/1.06  113[0:Res:110.0,52.0] ||  -> less(0,skc4)*.
% 0.76/1.06  126[0:ThR:113,109,99,51] ||  -> .
% 0.76/1.06  
% 0.76/1.06  % SZS output end CNFRefutation for /tmp/SPASST_29041_n024.cluster.edu
% 0.76/1.06  
% 0.76/1.06  Formulae used in the proof : fof_collection_type fof_ax1 fof_co1 fof_add_type fof_ax3 fof_ax4
% 0.76/1.06  
% 0.76/1.06  SPASS+T ended
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