%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : DAT087_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% 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 : Sat Jul 16 01:32:09 EDT 2022

% Result   : Theorem 0.37s 0.97s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : DAT087_1 : TPTP v8.1.0. Released v6.1.0.
% 0.10/0.10  % Command  : spasst-tptp-script %s %d
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Fri Jul  1 19:35:39 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  % Using integer theory
% 0.37/0.97  
% 0.37/0.97  
% 0.37/0.97  % SZS status Theorem for /tmp/SPASST_30535_n029.cluster.edu
% 0.37/0.97  
% 0.37/0.97  SPASS V 2.2.22  in combination with yices.
% 0.37/0.97  SPASS beiseite: Proof found by SPASS.
% 0.37/0.97  Problem: /tmp/SPASST_30535_n029.cluster.edu 
% 0.37/0.97  SPASS derived 58 clauses, backtracked 0 clauses and kept 87 clauses.
% 0.37/0.97  SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.37/0.97  SPASS allocated 6491 KBytes.
% 0.37/0.97  SPASS spent	0:00:00.03 on the problem.
% 0.37/0.97  		0:00:00.00 for the input.
% 0.37/0.97  		0:00:00.01 for the FLOTTER CNF translation.
% 0.37/0.97  		0:00:00.00 for inferences.
% 0.37/0.97  		0:00:00.00 for the backtracking.
% 0.37/0.97  		0:00:00.01 for the reduction.
% 0.37/0.97  		0:00:00.00 for interacting with the SMT procedure.
% 0.37/0.97  		
% 0.37/0.97  
% 0.37/0.97  % SZS output start CNFRefutation for /tmp/SPASST_30535_n029.cluster.edu
% 0.37/0.97  
% 0.37/0.97  % Here is a proof with depth 2, length 11 :
% 0.37/0.97  4[0:Inp] ||  -> list(nil)*.
% 0.37/0.97  9[0:Inp] ||  -> equal(count(U,nil),0)**.
% 0.37/0.97  23[0:Inp] || list(U) -> equal(count(V,cons(1,U)),count(V,U))**.
% 0.37/0.97  25[0:Inp] || list(U) -> equal(count(V,cons(V,U)),plus(count(V,U),1))**.
% 0.37/0.97  73[0:Res:4.0,23.0] ||  -> equal(count(U,cons(1,nil)),count(U,nil))**.
% 0.37/0.97  76[0:Rew:9.0,73.0] ||  -> equal(count(U,cons(1,nil)),0)**.
% 0.37/0.97  151[0:SpR:25.1,76.0] || list(nil) -> equal(plus(count(1,nil),1),0)**.
% 0.37/0.97  158[0:ArS:151.1] || list(nil) -> equal(count(1,nil),-1)**.
% 0.37/0.97  159[0:Rew:9.0,158.1] || list(nil)* -> equal(-1,0).
% 0.37/0.97  160[0:ArS:159.1] || list(nil)* -> .
% 0.37/0.97  161(e)[0:MRR:160.0,4.0] ||  -> .
% 0.37/0.97  
% 0.37/0.97  % SZS output end CNFRefutation for /tmp/SPASST_30535_n029.cluster.edu
% 0.37/0.97  
% 0.37/0.97  Formulae used in the proof : fof_head_type fof_in_conv fof_nil_type fof_l_1 fof_l3
% 0.37/0.99  
% 0.37/0.99  SPASS+T ended
%------------------------------------------------------------------------------