%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : DAT019_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n015.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 01:31:48 EDT 2022

% Result   : Theorem 0.74s 1.03s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : DAT019_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12  % Command  : spasst-tptp-script %s %d
% 0.12/0.33  % Computer : n015.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 18:16:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  % Using integer theory
% 0.74/1.03  
% 0.74/1.03  
% 0.74/1.03  % SZS status Theorem for /tmp/SPASST_21384_n015.cluster.edu
% 0.74/1.03  
% 0.74/1.03  SPASS V 2.2.22  in combination with yices.
% 0.74/1.03  SPASS beiseite: Proof found by SPASS.
% 0.74/1.03  Problem: /tmp/SPASST_21384_n015.cluster.edu 
% 0.74/1.03  SPASS derived 8 clauses, backtracked 0 clauses and kept 48 clauses.
% 0.74/1.03  SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.74/1.03  SPASS allocated 6253 KBytes.
% 0.74/1.03  SPASS spent	0:00:00.01 on the problem.
% 0.74/1.03  		0:00:00.00 for the input.
% 0.74/1.03  		0:00:00.00 for the FLOTTER CNF translation.
% 0.74/1.03  		0:00:00.00 for inferences.
% 0.74/1.03  		0:00:00.00 for the backtracking.
% 0.74/1.03  		0:00:00.00 for the reduction.
% 0.74/1.03  		0:00:00.00 for interacting with the SMT procedure.
% 0.74/1.03  		
% 0.74/1.03  
% 0.74/1.03  % SZS output start CNFRefutation for /tmp/SPASST_21384_n015.cluster.edu
% 0.74/1.03  
% 0.74/1.03  % Here is a proof with depth 3, length 10 :
% 0.74/1.03  1[0:Inp] ||  -> collection(empty)*.
% 0.74/1.03  5[0:Inp] || collection(U) -> collection(add(V,U))*.
% 0.74/1.03  6[0:Inp] || collection(U) -> in(V,add(V,U))*.
% 0.74/1.03  8[0:Inp] || in(3,add(1,add(3,add(5,empty))))* -> .
% 0.74/1.03  10[0:Inp] || collection(U) in(V,U) -> in(V,add(W,U))*.
% 0.74/1.03  46[0:Res:10.2,8.0] || collection(add(3,add(5,empty))) in(3,add(3,add(5,empty)))* -> .
% 0.74/1.03  54[0:Res:6.1,46.1] || collection(add(5,empty)) collection(add(3,add(5,empty)))* -> .
% 0.74/1.03  57[0:MRR:54.1,5.1] || collection(add(5,empty))* -> .
% 0.74/1.03  59[0:Res:5.1,57.0] || collection(empty)* -> .
% 0.74/1.03  60(e)[0:MRR:59.0,1.0] ||  -> .
% 0.74/1.03  
% 0.74/1.03  % SZS output end CNFRefutation for /tmp/SPASST_21384_n015.cluster.edu
% 0.74/1.03  
% 0.74/1.03  Formulae used in the proof : fof_remove_type fof_add_type fof_ax3 fof_ax5
% 0.74/1.05  
% 0.74/1.05  SPASS+T ended
%------------------------------------------------------------------------------