%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : DAT045_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n005.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 01:31:56 EDT 2022

% Result   : Theorem 0.45s 1.06s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : DAT045_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command  : spasst-tptp-script %s %d
% 0.13/0.34  % Computer : n005.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 : Fri Jul  1 19:44:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  % Using integer theory
% 0.45/1.06  
% 0.45/1.06  
% 0.45/1.06  % SZS status Theorem for /tmp/SPASST_11618_n005.cluster.edu
% 0.45/1.06  
% 0.45/1.06  SPASS V 2.2.22  in combination with yices.
% 0.45/1.06  SPASS beiseite: Proof found by SPASS.
% 0.45/1.06  Problem: /tmp/SPASST_11618_n005.cluster.edu 
% 0.45/1.06  SPASS derived 151 clauses, backtracked 43 clauses and kept 167 clauses.
% 0.45/1.06  SPASS backtracked 4 times (0 times due to theory inconsistency).
% 0.45/1.06  SPASS allocated 6396 KBytes.
% 0.45/1.06  SPASS spent	0:00:00.03 on the problem.
% 0.45/1.06  		0:00:00.00 for the input.
% 0.45/1.06  		0:00:00.01 for the FLOTTER CNF translation.
% 0.45/1.06  		0:00:00.00 for inferences.
% 0.45/1.06  		0:00:00.00 for the backtracking.
% 0.45/1.06  		0:00:00.01 for the reduction.
% 0.45/1.06  		0:00:00.00 for interacting with the SMT procedure.
% 0.45/1.06  		
% 0.45/1.06  
% 0.45/1.06  % SZS output start CNFRefutation for /tmp/SPASST_11618_n005.cluster.edu
% 0.45/1.06  
% 0.45/1.06  % Here is a proof with depth 3, length 14 :
% 0.45/1.06  4[0:Inp] ||  -> collection(skc3)*.
% 0.45/1.06  9[0:Inp] || in(U,skc3)* -> greater(skc4,U).
% 0.45/1.06  11[0:Inp] || greater(count(add(skc4,skc3)),count(skc3))* -> .
% 0.45/1.06  24(e)[0:Inp] || collection(U) -> in(V,U) equal(count(add(V,U)),plus(count(U),1))**.
% 0.45/1.06  39[0:ThA] ||  -> lesseq(U,U)*.
% 0.45/1.06  40[0:ThA] ||  -> less(U,plus(U,1))*.
% 0.45/1.06  61[0:ArS:9.1] || in(U,skc3) -> less(U,skc4)*.
% 0.45/1.06  63[0:ArS:11.0] || less(count(skc3),count(add(skc4,skc3)))* -> .
% 0.45/1.06  64[0:TOC:63.0] ||  -> lesseq(count(add(skc4,skc3)),count(skc3))*.
% 0.45/1.06  76(e)[0:Res:4.0,24.0] ||  -> in(U,skc3) equal(count(add(U,skc3)),plus(count(skc3),1))**.
% 0.45/1.06  153[0:OCE:61.1,39.0] || in(skc4,skc3)* -> .
% 0.45/1.06  207[0:SpR:76.1,64.0] ||  -> in(skc4,skc3) lesseq(plus(count(skc3),1),count(skc3))*.
% 0.45/1.06  216[0:MRR:207.0,153.0] ||  -> lesseq(plus(count(skc3),1),count(skc3))*.
% 0.45/1.06  295(e)[0:OCE:216.0,40.0] ||  -> .
% 0.45/1.06  
% 0.45/1.06  % SZS output end CNFRefutation for /tmp/SPASST_11618_n005.cluster.edu
% 0.45/1.06  
% 0.45/1.06  Formulae used in the proof : fof_collection_type fof_add_type fof_ax2 fof_ax6
% 0.45/1.07  
% 0.45/1.07  SPASS+T ended
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