%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n004.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 : Mon Jul 18 14:30:55 EDT 2022

% Result   : Theorem 1.38s 1.54s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    greater(vd301,vd302),
    file('NUM838+1.p',unknown),
    [] ).

cnf(22,axiom,
    equal(vplus(u,v),vplus(v,u)),
    file('NUM838+1.p',unknown),
    [] ).

cnf(23,axiom,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('NUM838+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ greater(u,v)
    | greater(vplus(u,w),vplus(v,w)) ),
    file('NUM838+1.p',unknown),
    [] ).

cnf(53,plain,
    ~ greater(vplus(vd301,vd303),vplus(vd303,vd302)),
    inference(rew,[status(thm),theory(equality)],[22,23]),
    [iquote('0:Rew:22.0,23.0')] ).

cnf(358,plain,
    ( ~ greater(u,v)
    | greater(vplus(u,w),vplus(w,v)) ),
    inference(spr,[status(thm),theory(equality)],[22,37]),
    [iquote('0:SpR:22.0,37.1')] ).

cnf(6043,plain,
    ~ greater(vd301,vd302),
    inference(res,[status(thm),theory(equality)],[358,53]),
    [iquote('0:Res:358.1,53.0')] ).

cnf(6047,plain,
    $false,
    inference(mrr,[status(thm)],[6043,1]),
    [iquote('0:MRR:6043.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 08:35:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.38/1.54  
% 1.38/1.54  SPASS V 3.9 
% 1.38/1.54  SPASS beiseite: Proof found.
% 1.38/1.54  % SZS status Theorem
% 1.38/1.54  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.38/1.54  SPASS derived 5055 clauses, backtracked 5 clauses, performed 1 splits and kept 2168 clauses.
% 1.38/1.54  SPASS allocated 89140 KBytes.
% 1.38/1.54  SPASS spent	0:00:01.18 on the problem.
% 1.38/1.54  		0:00:00.04 for the input.
% 1.38/1.54  		0:00:00.03 for the FLOTTER CNF translation.
% 1.38/1.54  		0:00:00.04 for inferences.
% 1.38/1.54  		0:00:00.02 for the backtracking.
% 1.38/1.54  		0:00:01.02 for the reduction.
% 1.38/1.54  
% 1.38/1.54  
% 1.38/1.54  Here is a proof with depth 2, length 8 :
% 1.38/1.54  % SZS output start Refutation
% See solution above
% 1.38/1.54  Formulae used in the proof : holds_a40_antec_a40_195_a41__a44__a32_304_a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_conseq_a40_195_a41__a44__a32_305_a44__a32_0_a41_ ass_a40_cond_a40_proof_a40_196_a41__a44__a32_0_a41__a44__a32_4_a41_
% 1.38/1.54  
%------------------------------------------------------------------------------