%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO048-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 06:21:53 EDT 2022

% Result   : Unsatisfiable 0.37s 0.56s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   17 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-5 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(27,axiom,
    ( ~ between(u,v,w)
    | between(w,v,u) ),
    file('GEO048-3.p',unknown),
    [] ).

cnf(45,axiom,
    between(u__dfg,v__dfg,w__dfg),
    file('GEO048-3.p',unknown),
    [] ).

cnf(46,axiom,
    between(u1,v1,w__dfg),
    file('GEO048-3.p',unknown),
    [] ).

cnf(47,axiom,
    between(u__dfg,x__dfg,u1),
    file('GEO048-3.p',unknown),
    [] ).

cnf(49,axiom,
    ~ between(v__dfg,inner_pasch(v1,inner_pasch(u__dfg,x__dfg,u1,v1,w__dfg),u__dfg,v__dfg,w__dfg),v1),
    file('GEO048-3.p',unknown),
    [] ).

cnf(58,axiom,
    ( ~ between(u,v,w)
    | ~ between(x,y,w)
    | between(v,inner_pasch(x,y,w,v,u),x) ),
    file('GEO048-3.p',unknown),
    [] ).

cnf(77,plain,
    ( ~ between(w__dfg,v__dfg,u__dfg)
    | ~ between(v1,inner_pasch(u__dfg,x__dfg,u1,v1,w__dfg),u__dfg) ),
    inference(res,[status(thm),theory(equality)],[58,49]),
    [iquote('0:Res:58.2,49.0')] ).

cnf(140,plain,
    between(w__dfg,v1,u1),
    inference(res,[status(thm),theory(equality)],[46,27]),
    [iquote('0:Res:46.0,27.0')] ).

cnf(141,plain,
    between(w__dfg,v__dfg,u__dfg),
    inference(res,[status(thm),theory(equality)],[45,27]),
    [iquote('0:Res:45.0,27.0')] ).

cnf(147,plain,
    ~ between(v1,inner_pasch(u__dfg,x__dfg,u1,v1,w__dfg),u__dfg),
    inference(mrr,[status(thm)],[77,141]),
    [iquote('0:MRR:77.0,141.0')] ).

cnf(922,plain,
    ( ~ between(w__dfg,v1,u1)
    | ~ between(u__dfg,x__dfg,u1) ),
    inference(res,[status(thm),theory(equality)],[58,147]),
    [iquote('0:Res:58.2,147.0')] ).

cnf(929,plain,
    $false,
    inference(mrr,[status(thm)],[922,140,47]),
    [iquote('0:MRR:922.0,922.1,140.0,47.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO048-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 01:30:42 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.37/0.56  
% 0.37/0.56  SPASS V 3.9 
% 0.37/0.56  SPASS beiseite: Proof found.
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.37/0.56  SPASS derived 817 clauses, backtracked 0 clauses, performed 2 splits and kept 432 clauses.
% 0.37/0.56  SPASS allocated 63828 KBytes.
% 0.37/0.56  SPASS spent	0:00:00.20 on the problem.
% 0.37/0.56  		0:00:00.04 for the input.
% 0.37/0.56  		0:00:00.00 for the FLOTTER CNF translation.
% 0.37/0.56  		0:00:00.02 for inferences.
% 0.37/0.56  		0:00:00.00 for the backtracking.
% 0.37/0.56  		0:00:00.10 for the reduction.
% 0.37/0.56  
% 0.37/0.56  
% 0.37/0.56  Here is a proof with depth 2, length 12 :
% 0.37/0.56  % SZS output start Refutation
% See solution above
% 0.37/0.56  Formulae used in the proof : t1 v_between_u_and_w v1_between_u1_and_w x_between_u_and_u1 prove_conclusion2 inner_pasch2
% 0.37/0.56  
%------------------------------------------------------------------------------