%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 14:31:07 EDT 2022

% Result   : Theorem 0.42s 0.60s
% Output   : Refutation 0.42s
% 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(2,axiom,
    greater(vd508,vd509),
    file('NUM854+2.p',unknown),
    [] ).

cnf(10,axiom,
    equal(vmul(u,v),vmul(v,u)),
    file('NUM854+2.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ less(u,v)
    | greater(v,u) ),
    file('NUM854+2.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ greater(u,v)
    | less(v,u) ),
    file('NUM854+2.p',unknown),
    [] ).

cnf(13,axiom,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    file('NUM854+2.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ less(u,v)
    | less(vmul(u,w),vmul(v,w)) ),
    file('NUM854+2.p',unknown),
    [] ).

cnf(31,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd511,vd509)),
    inference(rew,[status(thm),theory(equality)],[10,13]),
    [iquote('0:Rew:10.0,13.0')] ).

cnf(35,plain,
    ~ less(vmul(vd511,vd509),vmul(vd508,vd511)),
    inference(res,[status(thm),theory(equality)],[11,31]),
    [iquote('0:Res:11.1,31.0')] ).

cnf(152,plain,
    ( ~ less(u,v)
    | less(vmul(w,u),vmul(v,w)) ),
    inference(spr,[status(thm),theory(equality)],[10,23]),
    [iquote('0:SpR:10.0,23.1')] ).

cnf(1476,plain,
    ~ less(vd509,vd508),
    inference(res,[status(thm),theory(equality)],[152,35]),
    [iquote('0:Res:152.1,35.0')] ).

cnf(1487,plain,
    ~ greater(vd508,vd509),
    inference(res,[status(thm),theory(equality)],[12,1476]),
    [iquote('0:Res:12.1,1476.0')] ).

cnf(1490,plain,
    $false,
    inference(mrr,[status(thm)],[1487,2]),
    [iquote('0:MRR:1487.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jul  6 23:36:14 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.42/0.60  
% 0.42/0.60  SPASS V 3.9 
% 0.42/0.60  SPASS beiseite: Proof found.
% 0.42/0.60  % SZS status Theorem
% 0.42/0.60  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.42/0.60  SPASS derived 1237 clauses, backtracked 0 clauses, performed 0 splits and kept 589 clauses.
% 0.42/0.60  SPASS allocated 86181 KBytes.
% 0.42/0.60  SPASS spent	0:00:00.23 on the problem.
% 0.42/0.60  		0:00:00.03 for the input.
% 0.42/0.60  		0:00:00.03 for the FLOTTER CNF translation.
% 0.42/0.60  		0:00:00.01 for inferences.
% 0.42/0.60  		0:00:00.00 for the backtracking.
% 0.42/0.60  		0:00:00.13 for the reduction.
% 0.42/0.60  
% 0.42/0.60  
% 0.42/0.60  Here is a proof with depth 3, length 12 :
% 0.42/0.60  % SZS output start Refutation
% See solution above
% 0.42/0.60  Formulae used in the proof : holds_a40_conjunct1_a40_314_a41__a44__a32_510_a44__a32_0_a41_ ass_a40_cond_a40_270_a44__a32_0_a41__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_ holds_a40_conjunct1_a40_315_a41__a44__a32_514_a44__a32_0_a41_ ass_a40_cond_a40_299_a44__a32_0_a41__a44__a32_0_a41_
% 0.42/0.60  
%------------------------------------------------------------------------------