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SPASS---3.9.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR040+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Fri Jul 15 23:24:31 EDT 2022

% Result   : Theorem 0.17s 0.45s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   26 (   5 unt;   0 nHn;  26 RR)
%            Number of literals    :   47 (   0 equ;  25 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    tptpcol_15_109185(c_tptpcol_16_62187),
    file('CSR040+1.p',unknown),
    [] ).

cnf(3,axiom,
    firstordercollection(c_tptpcol_16_62187),
    file('CSR040+1.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ firstordercollection(u)
    | fixedordercollection(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(39,axiom,
    ( ~ fixedordercollection(u)
    | collection(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ tptpcol_0_0(u)
    | individual(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ tptpcol_1_65536(u)
    | tptpcol_0_0(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ tptpcol_2_98304(u)
    | tptpcol_1_65536(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ tptpcol_3_98305(u)
    | tptpcol_2_98304(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(44,axiom,
    ( ~ tptpcol_4_106497(u)
    | tptpcol_3_98305(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(45,axiom,
    ( ~ tptpcol_5_106498(u)
    | tptpcol_4_106497(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ tptpcol_6_108546(u)
    | tptpcol_5_106498(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ tptpcol_7_108547(u)
    | tptpcol_6_108546(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(48,axiom,
    ( ~ tptpcol_8_109059(u)
    | tptpcol_7_108547(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(49,axiom,
    ( ~ tptpcol_9_109060(u)
    | tptpcol_8_109059(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ tptpcol_10_109061(u)
    | tptpcol_9_109060(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(51,axiom,
    ( ~ tptpcol_11_109125(u)
    | tptpcol_10_109061(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(52,axiom,
    ( ~ tptpcol_12_109157(u)
    | tptpcol_11_109125(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ tptpcol_13_109173(u)
    | tptpcol_12_109157(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ tptpcol_14_109181(u)
    | tptpcol_13_109173(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(55,axiom,
    ( ~ tptpcol_15_109185(u)
    | tptpcol_14_109181(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ individual(u)
    | ~ collection(u) ),
    file('CSR040+1.p',unknown),
    [] ).

cnf(149,plain,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(res,[status(thm),theory(equality)],[1,55]),
    [iquote('0:Res:1.0,55.0')] ).

cnf(217,plain,
    ( ~ tptpcol_0_0(u)
    | ~ fixedordercollection(u) ),
    inference(ems,[status(thm)],[60,40,39]),
    [iquote('0:EmS:60.0,60.1,40.1,39.1')] ).

cnf(241,plain,
    ( ~ tptpcol_1_65536(u)
    | ~ firstordercollection(u) ),
    inference(ems,[status(thm)],[217,41,38]),
    [iquote('0:EmS:217.0,217.1,41.1,38.1')] ).

cnf(242,plain,
    ~ tptpcol_2_98304(c_tptpcol_16_62187),
    inference(ems,[status(thm)],[241,42,3]),
    [iquote('0:EmS:241.0,241.1,42.1,3.0')] ).

cnf(243,plain,
    $false,
    inference(ssi,[status(thm)],[242,54,53,52,51,50,49,48,47,46,45,44,43,3,1,149]),
    [iquote('0:SSi:242.0,54.0,53.0,52.0,51.1,50.1,49.1,48.1,47.1,46.1,45.1,44.1,43.1,3.1,1.1,149.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR040+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jun 11 14:58:09 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.45  
% 0.17/0.45  SPASS V 3.9 
% 0.17/0.45  SPASS beiseite: Proof found.
% 0.17/0.45  % SZS status Theorem
% 0.17/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.45  SPASS derived 29 clauses, backtracked 0 clauses, performed 0 splits and kept 137 clauses.
% 0.17/0.45  SPASS allocated 97864 KBytes.
% 0.17/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.17/0.45  		0:00:00.04 for the input.
% 0.17/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.45  		0:00:00.00 for inferences.
% 0.17/0.45  		0:00:00.00 for the backtracking.
% 0.17/0.45  		0:00:00.00 for the reduction.
% 0.17/0.45  
% 0.17/0.45  
% 0.17/0.45  Here is a proof with depth 3, length 26 :
% 0.17/0.45  % SZS output start Refutation
% See solution above
% 0.17/0.45  Formulae used in the proof : query40 just17 just4 just14 just16 just19 just21 just23 just25 just27 just29 just31 just33 just35 just37 just39 just41 just43 just45 just47 just9
% 0.17/0.45  
%------------------------------------------------------------------------------