%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 : Fri Jul 15 01:44:40 EDT 2022

% Result   : Theorem 0.53s 0.72s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   8 unt;   4 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(20,axiom,
    ~ visFreeVar(skc10,vabs(skc7,skc8,veabs)),
    file('COM125+1.p',unknown),
    [] ).

cnf(21,axiom,
    vtcheck(skc6,vabs(skc7,skc8,veabs),skc9),
    file('COM125+1.p',unknown),
    [] ).

cnf(56,axiom,
    ~ vtcheck(vbind(skc10,skc11,skc6),vabs(skc7,skc8,veabs),skc9),
    file('COM125+1.p',unknown),
    [] ).

cnf(123,axiom,
    ( ~ vtcheck(u,vabs(v,w,veabs),x)
    | visFreeVar(v,vabs(v,w,veabs))
    | vtcheck(vbind(v,y,u),vabs(v,w,veabs),x) ),
    file('COM125+1.p',unknown),
    [] ).

cnf(127,axiom,
    ( ~ vtcheck(u,vabs(v,w,veabs),x)
    | equal(y,v)
    | visFreeVar(y,vabs(v,w,veabs))
    | vtcheck(vbind(y,z,u),vabs(v,w,veabs),x) ),
    file('COM125+1.p',unknown),
    [] ).

cnf(140,plain,
    ( vtcheck(vbind(skc7,u,skc6),vabs(skc7,skc8,veabs),skc9)
    | visFreeVar(skc7,vabs(skc7,skc8,veabs)) ),
    inference(res,[status(thm),theory(equality)],[21,123]),
    [iquote('0:Res:21.0,123.0')] ).

cnf(149,plain,
    ( ~ vtcheck(skc6,vabs(skc7,skc8,veabs),skc9)
    | visFreeVar(skc10,vabs(skc7,skc8,veabs))
    | equal(skc10,skc7) ),
    inference(res,[status(thm),theory(equality)],[127,56]),
    [iquote('0:Res:127.1,56.0')] ).

cnf(154,plain,
    equal(skc10,skc7),
    inference(mrr,[status(thm)],[149,21,20]),
    [iquote('0:MRR:149.0,149.1,21.0,20.0')] ).

cnf(155,plain,
    ~ visFreeVar(skc7,vabs(skc7,skc8,veabs)),
    inference(rew,[status(thm),theory(equality)],[154,20]),
    [iquote('0:Rew:154.0,20.0')] ).

cnf(156,plain,
    ~ vtcheck(vbind(skc7,skc11,skc6),vabs(skc7,skc8,veabs),skc9),
    inference(rew,[status(thm),theory(equality)],[154,56]),
    [iquote('0:Rew:154.0,56.0')] ).

cnf(159,plain,
    vtcheck(vbind(skc7,u,skc6),vabs(skc7,skc8,veabs),skc9),
    inference(mrr,[status(thm)],[140,155]),
    [iquote('0:MRR:140.1,155.0')] ).

cnf(160,plain,
    $false,
    inference(mrr,[status(thm)],[156,159]),
    [iquote('0:MRR:156.0,159.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.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 : Thu Jun 16 18:22:41 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.53/0.72  
% 0.53/0.72  SPASS V 3.9 
% 0.53/0.72  SPASS beiseite: Proof found.
% 0.53/0.72  % SZS status Theorem
% 0.53/0.72  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.53/0.72  SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 137 clauses.
% 0.53/0.72  SPASS allocated 100207 KBytes.
% 0.53/0.72  SPASS spent	0:00:00.36 on the problem.
% 0.53/0.72  		0:00:00.04 for the input.
% 0.53/0.72  		0:00:00.29 for the FLOTTER CNF translation.
% 0.53/0.72  		0:00:00.00 for inferences.
% 0.53/0.72  		0:00:00.00 for the backtracking.
% 0.53/0.72  		0:00:00.01 for the reduction.
% 0.53/0.72  
% 0.53/0.72  
% 0.53/0.72  Here is a proof with depth 1, length 12 :
% 0.53/0.72  % SZS output start Refutation
% See solution above
% 0.53/0.72  Formulae used in the proof : T_a45_Weak_a45_FreeVar_a45_abs T_a45_Weak_a45_FreeVar_a45_abs_a45_2 T_a45_Weak_a45_FreeVar_a45_abs_a45_1
% 0.53/0.72  
%------------------------------------------------------------------------------