↑ Up

Leo-III---1.8.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 06:56:26 AM UTC 2026

% Result   : Unsatisfiable 5.10s 2.72s
% Output   : Refutation 5.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   65 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  129 (  30 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  582 (  68   ~;  64   |;   0   &; 450   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   6 con; 0-3 aty)
%            Number of variables   :  150 (   0   ^; 150   !;   0   ?; 150   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_decl,type,
    member: $i > $i > $o ).

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

thf(comb_app_decl,type,
    comb_app: $i > $i > $i ).

thf(combS_decl,type,
    combS: $i ).

thf(combK_decl,type,
    combK: $i ).

thf(r_decl,type,
    r: $i ).

thf(contract_decl,type,
    contract: $i ).

thf(comb_decl,type,
    comb: $i ).

thf(ap_contractE_c3_decl,type,
    ap_contractE_c3: $i > $i > $i > $o ).

thf(ap_contractE_sk2q_decl,type,
    ap_contractE_sk2q: $i > $i > $i > $i ).

thf(ap_contractE_c4_decl,type,
    ap_contractE_c4: $i > $i > $i > $o ).

thf(ap_contractE_sk3q_decl,type,
    ap_contractE_sk3q: $i > $i > $i > $i ).

thf(ap_contractE_c2_decl,type,
    ap_contractE_c2: $i > $i > $i > $o ).

thf(ap_contractE_sk1p_decl,type,
    ap_contractE_sk1p: $i > $i > $i > $i ).

thf(ap_contractE_sk1q_decl,type,
    ap_contractE_sk1q: $i > $i > $i > $i ).

thf(ap_contractE_c1_decl,type,
    ap_contractE_c1: $i > $i > $i > $o ).

thf(rtrancl_decl,type,
    rtrancl: $i > $i ).

thf(15,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE11) ).

thf(69,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(9,axiom,
    comb @ ( combS @ member ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros2) ).

thf(52,plain,
    comb @ ( combS @ member ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(1,negated_conjecture,
    contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_contract_E) ).

thf(33,plain,
    contract @ ( r @ ( combK @ ( combK @ ( combS @ comb_app ) @ comb_app ) @ pair ) @ member ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(10,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = D )
      | ( ( B @ ( A @ comb_app ) )
       != ( D @ ( C @ comb_app ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app2) ).

thf(53,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = D )
      | ( ( B @ ( A @ comb_app ) )
       != ( D @ ( C @ comb_app ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(16,axiom,
    ! [B: $i,A: $i] :
      ( combK
     != ( B @ ( A @ comb_app ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).

thf(71,plain,
    ! [B: $i,A: $i] :
      ( combK
     != ( B @ ( A @ comb_app ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(20,axiom,
    comb @ ( combK @ member ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros1) ).

thf(80,plain,
    comb @ ( combK @ member ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(8,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE6) ).

thf(50,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).

thf(43,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( B @ pair ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(24,axiom,
    ! [B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).

thf(87,plain,
    ! [B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(4,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C
        = ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE12) ).

thf(40,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C
        = ( B @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(11,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C
        = ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE8) ).

thf(58,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C
        = ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ comb_app ) @ ( B @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ comb_app ) @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(3,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( A @ comb_app ) )
        = ( D @ ( B @ comb_app ) ) )
      | ( C != D )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app3) ).

thf(36,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( C @ ( A @ comb_app ) )
        = ( D @ ( B @ comb_app ) ) )
      | ( C != D )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(32,axiom,
    combK != combS,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_s) ).

thf(107,plain,
    combK != combS,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(27,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE3) ).

thf(93,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(19,axiom,
    ! [B: $i,A: $i] :
      ( ( comb @ ( A @ member ) )
      | ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E1) ).

thf(78,plain,
    ! [B: $i,A: $i] :
      ( ( comb @ ( A @ member ) )
      | ~ ( comb @ ( B @ ( A @ comb_app ) @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(12,axiom,
    ! [B: $i,A: $i] :
      ( combS
     != ( B @ ( A @ comb_app ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_app) ).

thf(61,plain,
    ! [B: $i,A: $i] :
      ( combS
     != ( B @ ( A @ comb_app ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( contract @ rtrancl @ ( A @ ( A @ pair ) @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).

thf(89,plain,
    ! [A: $i] :
      ( ( contract @ rtrancl @ ( A @ ( A @ pair ) @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(17,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE5) ).

thf(74,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(23,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( contract @ ( C @ ( B @ comb_app ) @ ( C @ ( A @ comb_app ) @ comb_app ) @ ( C @ ( B @ ( A @ ( combS @ comb_app ) @ comb_app ) @ comb_app ) @ pair ) @ member ) )
      | ~ ( comb @ ( C @ member ) )
      | ~ ( comb @ ( B @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_S) ).

thf(85,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( contract @ ( C @ ( B @ comb_app ) @ ( C @ ( A @ comb_app ) @ comb_app ) @ ( C @ ( B @ ( A @ ( combS @ comb_app ) @ comb_app ) @ comb_app ) @ pair ) @ member ) )
      | ~ ( comb @ ( C @ member ) )
      | ~ ( comb @ ( B @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(31,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = C )
      | ( ( B @ ( A @ comb_app ) )
       != ( D @ ( C @ comb_app ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app1) ).

thf(102,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = C )
      | ( ( B @ ( A @ comb_app ) )
       != ( D @ ( C @ comb_app ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( comb @ ( B @ ( A @ comb_app ) @ member ) )
      | ~ ( comb @ ( B @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).

thf(34,plain,
    ! [B: $i,A: $i] :
      ( ( comb @ ( B @ ( A @ comb_app ) @ member ) )
      | ~ ( comb @ ( B @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
        = ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).

thf(45,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
        = ( C @ ( B @ ( A @ ap_contractE_sk1q ) ) @ ( C @ ( B @ ( A @ ap_contractE_sk1p ) ) @ ( combS @ comb_app ) @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(13,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
      | ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
      | ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
      | ( C @ ( B @ ( A @ ap_contractE_c1 ) ) )
      | ~ ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).

thf(64,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( B @ ( A @ ap_contractE_c4 ) ) )
      | ( C @ ( B @ ( A @ ap_contractE_c3 ) ) )
      | ( C @ ( B @ ( A @ ap_contractE_c2 ) ) )
      | ( C @ ( B @ ( A @ ap_contractE_c1 ) ) )
      | ~ ( contract @ ( C @ ( B @ ( A @ comb_app ) @ pair ) @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(21,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( A @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE14) ).

thf(81,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( A @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(18,axiom,
    ! [A: $i] :
      ~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_contractE) ).

thf(76,plain,
    ! [A: $i] :
      ~ ( contract @ ( A @ ( combS @ pair ) @ member ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(29,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE7) ).

thf(98,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( B @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c2 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(26,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ ( A @ pair ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).

thf(91,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( contract @ ( C @ ( B @ ( A @ ap_contractE_sk2q ) ) @ ( A @ pair ) @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c3 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(14,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C
        = ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( A @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).

thf(66,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C
        = ( C @ ( B @ ( A @ ap_contractE_sk3q ) ) @ ( A @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c4 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(7,axiom,
    ! [A: $i] :
      ~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).

thf(48,plain,
    ! [A: $i] :
      ~ ( contract @ ( A @ ( combK @ pair ) @ member ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(28,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
        = ( C @ ( combK @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).

thf(95,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A
        = ( C @ ( combK @ comb_app ) ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(22,axiom,
    ! [B: $i,A: $i] :
      ( ( contract @ ( A @ ( B @ ( A @ ( combK @ comb_app ) @ comb_app ) @ pair ) @ member ) )
      | ~ ( comb @ ( B @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_K) ).

thf(83,plain,
    ! [B: $i,A: $i] :
      ( ( contract @ ( A @ ( B @ ( A @ ( combK @ comb_app ) @ comb_app ) @ pair ) @ member ) )
      | ~ ( comb @ ( B @ member ) )
      | ~ ( comb @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(30,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( C @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE2) ).

thf(100,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( comb @ ( C @ member ) )
      | ~ ( C @ ( B @ ( A @ ap_contractE_c1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(122,plain,
    $false,
    inference(e,[status(thm)],[69,52,33,53,71,80,50,43,87,40,58,36,107,93,78,61,89,74,85,102,34,45,64,81,76,98,91,66,48,95,83,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40  % Computer : n011.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Sat Sep 26 23:13:29 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.87/0.98  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.31/1.18  % [INFO] 	 Parsing done (194ms). 
% 1.47/1.20  % [INFO] 	 Running in sequential loop mode. 
% 2.20/1.61  % [INFO] 	 eprover registered as external prover. 
% 2.20/1.62  % [INFO] 	 Scanning for conjecture ... 
% 2.41/1.73  % [INFO] 	 Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ... 
% 2.59/1.80  % [INFO] 	 Axiom selection finished. Selected 31 axioms (removed 0 axioms). 
% 2.59/1.85  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.59/1.86  % [INFO] 	 Type checking passed. 
% 2.59/1.86  % [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 ... 
% 5.10/2.72  % External prover 'e' found a proof!
% 5.10/2.72  % [INFO] 	 Killing All external provers ... 
% 5.10/2.72  % Time passed: 2172ms (effective reasoning time: 1514ms)
% 5.10/2.72  % Axioms used in derivation (31): comb_intros3, ap_contractE4, ap_contractE11, app_app1, k_app, ap_contractE9, contract_S, ap_contractE13, ap_contractE3, ap_contractE7, ap_contractE10, app_app3, ap_contractE2, ap_contractE14, app_app2, s_app, k_s, k_contractE, ap_E1, ap_contractE15, ap_contractE1, ap_contractE8, contract_K, s_contractE, reduction_refl, ap_contractE5, ap_contractE12, ap_E2, comb_intros1, comb_intros2, ap_contractE6
% 5.10/2.72  % No. of inferences in proof: 65
% 5.10/2.72  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2172 ms resp. 1514 ms w/o parsing
% 5.10/2.79  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.10/2.79  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------