%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PLA006-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 17:32:17 EDT 2022

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ holds(on(c,table),u),
    file('PLA006-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ differ(u,table)
    | ~ holds(empty,v)
    | ~ holds(clear(u),v)
    | holds(holding(u),do(pickup(u),v)) ),
    file('PLA006-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ holds(clear(u),v)
    | ~ holds(holding(w),v)
    | holds(on(w,u),do(putdown(w,u),v)) ),
    file('PLA006-1.p',unknown),
    [] ).

cnf(21,axiom,
    differ(c,table),
    file('PLA006-1.p',unknown),
    [] ).

cnf(29,axiom,
    holds(clear(c),s0),
    file('PLA006-1.p',unknown),
    [] ).

cnf(30,axiom,
    holds(empty,s0),
    file('PLA006-1.p',unknown),
    [] ).

cnf(31,axiom,
    holds(clear(table),u),
    file('PLA006-1.p',unknown),
    [] ).

cnf(34,plain,
    ( ~ holds(holding(c),u)
    | ~ holds(clear(table),u) ),
    inference(res,[status(thm),theory(equality)],[8,1]),
    [iquote('0:Res:8.2,1.0')] ).

cnf(35,plain,
    ~ holds(holding(c),u),
    inference(mrr,[status(thm)],[34,31]),
    [iquote('0:MRR:34.1,31.0')] ).

cnf(59,plain,
    ( ~ differ(c,table)
    | ~ holds(empty,u)
    | ~ holds(clear(c),u) ),
    inference(res,[status(thm),theory(equality)],[3,35]),
    [iquote('0:Res:3.3,35.0')] ).

cnf(60,plain,
    ( ~ holds(empty,u)
    | ~ holds(clear(c),u) ),
    inference(mrr,[status(thm)],[59,21]),
    [iquote('0:MRR:59.0,21.0')] ).

cnf(61,plain,
    ~ holds(empty,s0),
    inference(res,[status(thm),theory(equality)],[29,60]),
    [iquote('0:Res:29.0,60.1')] ).

cnf(65,plain,
    $false,
    inference(mrr,[status(thm)],[61,30]),
    [iquote('0:MRR:61.0,30.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PLA006-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n018.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 : Tue May 31 23:41:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.42  
% 0.21/0.42  SPASS V 3.9 
% 0.21/0.42  SPASS beiseite: Proof found.
% 0.21/0.42  % SZS status Theorem
% 0.21/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.42  SPASS derived 31 clauses, backtracked 0 clauses, performed 0 splits and kept 46 clauses.
% 0.21/0.42  SPASS allocated 63139 KBytes.
% 0.21/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.21/0.42  		0:00:00.04 for the input.
% 0.21/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.42  		0:00:00.00 for inferences.
% 0.21/0.42  		0:00:00.00 for the backtracking.
% 0.21/0.42  		0:00:00.00 for the reduction.
% 0.21/0.42  
% 0.21/0.42  
% 0.21/0.42  Here is a proof with depth 3, length 13 :
% 0.21/0.42  % SZS output start Refutation
% See solution above
% 0.21/0.42  Formulae used in the proof : prove_CTable pickup_1 putdown_2 differ_c_table initial_state7 initial_state8 clear_table
% 0.21/0.42  
%------------------------------------------------------------------------------