%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% 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 : Mon Jul 18 14:30:55 EDT 2022

% Result   : Theorem 0.90s 1.12s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   16 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 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+2.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ less(u,v)
    | greater(v,u) ),
    file('NUM838+2.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ greater(u,v)
    | less(v,u) ),
    file('NUM838+2.p',unknown),
    [] ).

cnf(12,axiom,
    equal(vplus(u,v),vplus(v,u)),
    file('NUM838+2.p',unknown),
    [] ).

cnf(13,axiom,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('NUM838+2.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ less(u,v)
    | less(vplus(u,w),vplus(v,w)) ),
    file('NUM838+2.p',unknown),
    [] ).

cnf(34,plain,
    ~ greater(vplus(vd301,vd303),vplus(vd303,vd302)),
    inference(rew,[status(thm),theory(equality)],[12,13]),
    [iquote('0:Rew:12.0,13.0')] ).

cnf(37,plain,
    ~ less(vplus(vd303,vd302),vplus(vd301,vd303)),
    inference(res,[status(thm),theory(equality)],[10,34]),
    [iquote('0:Res:10.1,34.0')] ).

cnf(454,plain,
    ( ~ less(u,v)
    | less(vplus(w,u),vplus(v,w)) ),
    inference(spr,[status(thm),theory(equality)],[12,20]),
    [iquote('0:SpR:12.0,20.1')] ).

cnf(4881,plain,
    ~ less(vd302,vd301),
    inference(res,[status(thm),theory(equality)],[454,37]),
    [iquote('0:Res:454.1,37.0')] ).

cnf(4895,plain,
    ~ greater(vd301,vd302),
    inference(res,[status(thm),theory(equality)],[11,4881]),
    [iquote('0:Res:11.1,4881.0')] ).

cnf(4898,plain,
    $false,
    inference(mrr,[status(thm)],[4895,1]),
    [iquote('0:MRR:4895.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 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 : Wed Jul  6 06:00:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.90/1.12  
% 0.90/1.12  SPASS V 3.9 
% 0.90/1.12  SPASS beiseite: Proof found.
% 0.90/1.12  % SZS status Theorem
% 0.90/1.12  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.90/1.12  SPASS derived 4243 clauses, backtracked 0 clauses, performed 0 splits and kept 1545 clauses.
% 0.90/1.12  SPASS allocated 88001 KBytes.
% 0.90/1.12  SPASS spent	0:00:00.75 on the problem.
% 0.90/1.12  		0:00:00.04 for the input.
% 0.90/1.12  		0:00:00.03 for the FLOTTER CNF translation.
% 0.90/1.12  		0:00:00.04 for inferences.
% 0.90/1.12  		0:00:00.00 for the backtracking.
% 0.90/1.12  		0:00:00.62 for the reduction.
% 0.90/1.12  
% 0.90/1.12  
% 0.90/1.12  Here is a proof with depth 3, length 12 :
% 0.90/1.12  % SZS output start Refutation
% See solution above
% 0.90/1.12  Formulae used in the proof : holds_a40_antec_a40_195_a41__a44__a32_304_a44__a32_0_a41_ ass_a40_cond_a40_147_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_140_a44__a32_0_a41__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_0_a41_
% 0.90/1.12  
%------------------------------------------------------------------------------