TSTP Solution File: SYN982-1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n004.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  : 300s
% DateTime : Fri May 19 12:33:10 EDT 2023

% Result   : Unsatisfiable 3.56s 1.79s
% Output   : Refutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  101 (  29 unt;  26 typ;   0 def)
%            Number of atoms       :  159 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  702 (  88   ~;  84   |;   0   &; 530   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  26 usr;   7 con; 0-4 aty)
%            Number of variables   :  158 (   0   ^; 158   !;   0   ?; 158   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssIk_type,type,
    ssIk: $i > $o ).

thf(key_type,type,
    key: $i > $i > $i ).

thf(b_type,type,
    b: $i ).

thf(ssBk_type,type,
    ssBk: $i > $o ).

thf(a_type,type,
    a: $i ).

thf(ssNonce_type,type,
    ssNonce: $i > $o ).

thf(nb_type,type,
    nb: $i > $i ).

thf(kt_type,type,
    kt: $i > $i ).

thf(ssIm_type,type,
    ssIm: $i > $o ).

thf(pair_type,type,
    pair: $i > $i > $i ).

thf(ssP_type,type,
    ssP: $i > $o ).

thf(ssM_type,type,
    ssM: $i > $o ).

thf(sent_type,type,
    sent: $i > $i > $i > $i ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(quadr_type,type,
    quadr: $i > $i > $i > $i > $i ).

thf(tb_type,type,
    tb: $i > $i ).

thf(ssBf_type,type,
    ssBf: $i > $o ).

thf(na_type,type,
    na: $i ).

thf(t_type,type,
    t: $i ).

thf(encr_type,type,
    encr: $i > $i > $i ).

thf(at_type,type,
    at: $i ).

thf(ssSa_type,type,
    ssSa: $i > $o ).

thf(bt_type,type,
    bt: $i ).

thf(ssTk_type,type,
    ssTk: $i > $o ).

thf(ssSb_type,type,
    ssSb: $i > $o ).

thf(ssAk_type,type,
    ssAk: $i > $o ).

thf(29,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ b @ ( pair @ A @ B ) ) )
      | ~ ( ssBf @ B )
      | ( ssSb @ ( pair @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

thf(84,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ b @ ( pair @ A @ B ) ) )
      | ~ ( ssBf @ B )
      | ( ssSb @ ( pair @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(13,axiom,
    ssBf @ na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

thf(60,plain,
    ssBf @ na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(9,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIm @ B )
      | ~ ( ssIm @ C )
      | ~ ( ssIm @ D )
      | ( ssIm @ ( quadr @ A @ B @ C @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

thf(53,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIm @ B )
      | ~ ( ssIm @ C )
      | ~ ( ssIm @ D )
      | ( ssIm @ ( quadr @ A @ B @ C @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(23,axiom,
    ssBk @ ( key @ bt @ t ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

thf(77,plain,
    ssBk @ ( key @ bt @ t ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(3,axiom,
    ! [A: $i] :
      ~ ( ssNonce @ ( kt @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

thf(41,plain,
    ! [A: $i] :
      ~ ( ssNonce @ ( kt @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssP @ B )
      | ~ ( ssP @ C )
      | ( ssM @ ( sent @ B @ C @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

thf(45,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssP @ B )
      | ~ ( ssP @ C )
      | ( ssM @ ( sent @ B @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(26,axiom,
    ssSa @ ( pair @ b @ na ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

thf(81,plain,
    ssSa @ ( pair @ b @ na ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(17,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

thf(67,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(31,axiom,
    ssTk @ ( key @ at @ a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

thf(87,plain,
    ssTk @ ( key @ at @ a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(8,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( triple @ A @ B @ C ) )
      | ( ssIm @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

thf(51,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( triple @ A @ B @ C ) )
      | ( ssIm @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(25,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ b @ ( pair @ ( encr @ ( triple @ A @ B @ ( tb @ C ) ) @ bt ) @ ( encr @ ( nb @ C ) @ B ) ) ) )
      | ~ ( ssSb @ ( pair @ A @ C ) )
      | ( ssBk @ ( key @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

thf(79,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ b @ ( pair @ ( encr @ ( triple @ A @ B @ ( tb @ C ) ) @ bt ) @ ( encr @ ( nb @ C ) @ B ) ) ) )
      | ~ ( ssSb @ ( pair @ A @ C ) )
      | ( ssBk @ ( key @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(6,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( triple @ A @ B @ C ) )
      | ( ssIm @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

thf(47,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( triple @ A @ B @ C ) )
      | ( ssIm @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(18,axiom,
    ssNonce @ na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

thf(69,plain,
    ssNonce @ na,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(32,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ t @ a @ ( triple @ ( encr @ ( quadr @ A @ B @ C @ D ) @ at ) @ E @ F ) ) )
      | ~ ( ssSa @ ( pair @ A @ B ) )
      | ( ssAk @ ( key @ C @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

thf(88,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ t @ a @ ( triple @ ( encr @ ( quadr @ A @ B @ C @ D ) @ at ) @ E @ F ) ) )
      | ~ ( ssSa @ ( pair @ A @ B ) )
      | ( ssAk @ ( key @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(35,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssP @ B )
      | ( ssIk @ ( key @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

thf(93,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssP @ B )
      | ( ssIk @ ( key @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(11,axiom,
    ! [A: $i] : ( ssNonce @ ( tb @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

thf(57,plain,
    ! [A: $i] : ( ssNonce @ ( tb @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(24,axiom,
    ssTk @ ( key @ bt @ b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

thf(78,plain,
    ssTk @ ( key @ bt @ b ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(14,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

thf(61,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(21,axiom,
    ssP @ t,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

thf(74,plain,
    ssP @ t,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ( ~ ( ssIk @ ( key @ A @ b ) )
      | ~ ( ssBk @ ( key @ A @ a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

thf(38,plain,
    ! [A: $i] :
      ( ~ ( ssIk @ ( key @ A @ b ) )
      | ~ ( ssBk @ ( key @ A @ a ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(19,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ ( pair @ A @ B ) )
      | ( ssIm @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

thf(70,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ ( pair @ A @ B ) )
      | ( ssIm @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(34,axiom,
    ssM @ ( sent @ a @ b @ ( pair @ a @ na ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

thf(92,plain,
    ssM @ ( sent @ a @ b @ ( pair @ a @ na ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(16,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( triple @ A @ B @ C ) )
      | ( ssIm @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

thf(65,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( triple @ A @ B @ C ) )
      | ( ssIm @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(37,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ t @ ( triple @ A @ B @ ( encr @ ( triple @ C @ D @ E ) @ F ) ) ) )
      | ~ ( ssTk @ ( key @ F @ A ) )
      | ~ ( ssTk @ ( key @ G @ C ) )
      | ~ ( ssNonce @ D )
      | ( ssM @ ( sent @ t @ C @ ( triple @ ( encr @ ( quadr @ A @ D @ ( kt @ D ) @ E ) @ G ) @ ( encr @ ( triple @ C @ ( kt @ D ) @ E ) @ F ) @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

thf(97,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ t @ ( triple @ A @ B @ ( encr @ ( triple @ C @ D @ E ) @ F ) ) ) )
      | ~ ( ssTk @ ( key @ F @ A ) )
      | ~ ( ssTk @ ( key @ G @ C ) )
      | ~ ( ssNonce @ D )
      | ( ssM @ ( sent @ t @ C @ ( triple @ ( encr @ ( quadr @ A @ D @ ( kt @ D ) @ E ) @ G ) @ ( encr @ ( triple @ C @ ( kt @ D ) @ E ) @ F ) @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(7,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ B @ C ) )
      | ( ssIm @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

thf(49,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ B @ C ) )
      | ( ssIm @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(30,axiom,
    ssP @ b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

thf(86,plain,
    ssP @ b,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(15,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

thf(63,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(36,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ b @ ( pair @ A @ B ) ) )
      | ~ ( ssBf @ B )
      | ( ssM @ ( sent @ b @ t @ ( triple @ b @ ( nb @ B ) @ ( encr @ ( triple @ A @ B @ ( tb @ B ) ) @ bt ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

thf(95,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ A @ b @ ( pair @ A @ B ) ) )
      | ~ ( ssBf @ B )
      | ( ssM @ ( sent @ b @ t @ ( triple @ b @ ( nb @ B ) @ ( encr @ ( triple @ A @ B @ ( tb @ B ) ) @ bt ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(20,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIm @ B )
      | ~ ( ssIm @ C )
      | ( ssIm @ ( triple @ A @ B @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIm @ B )
      | ~ ( ssIm @ C )
      | ( ssIm @ ( triple @ A @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(4,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIm @ B )
      | ( ssIm @ ( pair @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

thf(43,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIm @ B )
      | ( ssIm @ ( pair @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(2,axiom,
    ! [A: $i] : ( ssNonce @ ( nb @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

thf(40,plain,
    ! [A: $i] : ( ssNonce @ ( nb @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

thf(55,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ ( quadr @ A @ B @ C @ D ) )
      | ( ssIm @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(22,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ t @ a @ ( triple @ ( encr @ ( quadr @ A @ B @ C @ D ) @ at ) @ E @ F ) ) )
      | ~ ( ssSa @ ( pair @ A @ B ) )
      | ( ssM @ ( sent @ a @ A @ ( pair @ E @ ( encr @ F @ C ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

thf(75,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( ssM @ ( sent @ t @ a @ ( triple @ ( encr @ ( quadr @ A @ B @ C @ D ) @ at ) @ E @ F ) ) )
      | ~ ( ssSa @ ( pair @ A @ B ) )
      | ( ssM @ ( sent @ a @ A @ ( pair @ E @ ( encr @ F @ C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(12,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ ( pair @ A @ B ) )
      | ( ssIm @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

thf(58,plain,
    ! [B: $i,A: $i] :
      ( ~ ( ssIm @ ( pair @ A @ B ) )
      | ( ssIm @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(27,axiom,
    ssP @ a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

thf(82,plain,
    ssP @ a,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(33,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIk @ ( key @ B @ C ) )
      | ~ ( ssP @ C )
      | ( ssIm @ ( encr @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

thf(90,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( ssIm @ A )
      | ~ ( ssIk @ ( key @ B @ C ) )
      | ~ ( ssP @ C )
      | ( ssIm @ ( encr @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(28,axiom,
    ssAk @ ( key @ at @ t ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

thf(83,plain,
    ssAk @ ( key @ at @ t ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(99,plain,
    $false,
    inference(e,[status(thm)],[84,60,53,77,41,45,81,67,87,51,79,47,69,88,93,57,78,61,74,38,70,92,65,97,49,86,63,95,72,43,40,55,75,58,82,90,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu May 18 19:43:10 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.16/0.98  % [INFO] 	 Parsing done (126ms). 
% 1.34/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.72/1.19  % [INFO] 	 eprover registered as external prover. 
% 1.72/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 1.72/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.94/1.26  % [INFO] 	 Found a conjecture and 36 axioms. Running axiom selection ... 
% 1.94/1.31  % [INFO] 	 Axiom selection finished. Selected 36 axioms (removed 0 axioms). 
% 2.15/1.35  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.15/1.35  % [INFO] 	 Type checking passed. 
% 2.15/1.35  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.56/1.79  % External prover 'e' found a proof!
% 3.56/1.79  % [INFO] 	 Killing All external provers ... 
% 3.56/1.79  % Time passed: 1266ms (effective reasoning time: 798ms)
% 3.56/1.79  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.56/1.79  % Axioms used in derivation (36): clause17, clause22, clause16, clause28, clause12, clause23, clause6, clause5, clause27, clause20, clause33, clause19, clause36, clause3, clause29, clause32, clause18, clause7, clause25, clause11, clause14, clause13, clause31, clause24, clause2, clause1, clause34, clause35, clause8, clause30, clause4, clause26, clause9, clause10, clause15, clause21
% 3.56/1.79  % No. of inferences in proof: 75
% 3.56/1.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1266 ms resp. 798 ms w/o parsing
% 3.79/1.89  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.79/1.89  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------