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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NLP094-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n009.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 08:04:51 AM UTC 2026

% Result   : Unsatisfiable 4.88s 3.78s
% Output   : Refutation 5.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   77 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  385 (   0 equ;   0 cnn)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives : 1368 ( 276   ~; 308   |;   0   &; 784   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  28 usr;   4 con; 0-3 aty)
%            Number of variables   :  196 (   0   ^; 196   !;   0   ?; 196   :)

% Comments : 
%------------------------------------------------------------------------------
thf(actual_world_decl,type,
    actual_world: $i > $o ).

thf(skc13_decl,type,
    skc13: $i ).

thf(skc2_decl,type,
    skc2: $i ).

thf(ssSkC0_decl,type,
    ssSkC0: $o ).

thf(customer_decl,type,
    customer: $i > $i > $o ).

thf(skf39_decl,type,
    skf39: $i > $i ).

thf(restaurant_decl,type,
    restaurant: $i > $i > $o ).

thf(skf34_decl,type,
    skf34: $i > $i ).

thf(skf25_decl,type,
    skf25: $i > $i ).

thf(skf20_decl,type,
    skf20: $i > $i ).

thf(in_decl,type,
    in: $i > $i > $i > $o ).

thf(event_decl,type,
    event: $i > $i > $o ).

thf(skf26_decl,type,
    skf26: $i > $i ).

thf(past_decl,type,
    past: $i > $i > $o ).

thf(nonreflexive_decl,type,
    nonreflexive: $i > $i > $o ).

thf(see_decl,type,
    see: $i > $i > $o ).

thf(human_person_decl,type,
    human_person: $i > $i > $o ).

thf(skf29_decl,type,
    skf29: $i > $i ).

thf(drink_decl,type,
    drink: $i > $i > $o ).

thf(skf27_decl,type,
    skf27: $i > $i ).

thf(coffee_decl,type,
    coffee: $i > $i > $o ).

thf(skf28_decl,type,
    skf28: $i > $i ).

thf(skf12_decl,type,
    skf12: $i > $i ).

thf(skf14_decl,type,
    skf14: $i > $i ).

thf(skf13_decl,type,
    skf13: $i > $i ).

thf(skf15_decl,type,
    skf15: $i > $i ).

thf(agent_decl,type,
    agent: $i > $i > $i > $o ).

thf(patient_decl,type,
    patient: $i > $i > $i > $o ).

thf(35,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf15 @ ( C @ skf12 @ ( skc2 @ patient ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

thf(69,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf15 @ ( C @ skf12 @ ( skc2 @ patient ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(25,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ nonreflexive ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

thf(56,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ nonreflexive ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(1,negated_conjecture,
    skc13 @ actual_world,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

thf(42,plain,
    skc13 @ actual_world,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(4,negated_conjecture,
    ! [A: $i] :
      ( ( A @ skf34 @ ( A @ restaurant ) )
      | ssSkC0
      | ~ ( A @ actual_world ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

thf(52,plain,
    ! [A: $i] :
      ( ( A @ skf34 @ ( A @ restaurant ) )
      | ssSkC0
      | ~ ( A @ actual_world ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(33,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf28 @ ( C @ skf27 @ ( skc13 @ patient ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

thf(60,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf28 @ ( C @ skf27 @ ( skc13 @ patient ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(16,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ past ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

thf(70,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ past ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(34,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf15 @ ( C @ skf13 @ ( skc2 @ agent ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

thf(65,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf15 @ ( C @ skf13 @ ( skc2 @ agent ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(15,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ nonreflexive ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

thf(53,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ nonreflexive ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(14,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ drink ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

thf(41,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ drink ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(23,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf14 @ ( skc2 @ coffee ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

thf(73,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf14 @ ( skc2 @ coffee ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(22,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ see ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

thf(66,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ see ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(8,negated_conjecture,
    ! [A: $i] :
      ( ( A @ skf20 @ ( A @ skf25 @ ( A @ in ) ) )
      | ~ ssSkC0
      | ~ ( A @ actual_world ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

thf(51,plain,
    ! [A: $i] :
      ( ( A @ skf20 @ ( A @ skf25 @ ( A @ in ) ) )
      | ~ ssSkC0
      | ~ ( A @ actual_world ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(2,negated_conjecture,
    skc2 @ actual_world,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

thf(46,plain,
    skc2 @ actual_world,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(20,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ past ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

thf(57,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ past ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(28,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf15 @ ( skc2 @ human_person ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

thf(61,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf15 @ ( skc2 @ human_person ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(36,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf14 @ ( C @ skf13 @ ( skc2 @ patient ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

thf(74,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf14 @ ( C @ skf13 @ ( skc2 @ patient ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(13,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf29 @ ( skc13 @ human_person ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

thf(45,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf29 @ ( skc13 @ human_person ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(32,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf29 @ ( C @ skf27 @ ( skc13 @ agent ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

thf(64,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf29 @ ( C @ skf27 @ ( skc13 @ agent ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(9,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ event ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

thf(44,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ event ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(21,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ nonreflexive ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

thf(59,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ nonreflexive ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(31,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf29 @ ( C @ skf26 @ ( skc13 @ patient ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

thf(71,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf29 @ ( C @ skf26 @ ( skc13 @ patient ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(24,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ drink ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

thf(54,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ drink ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(18,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf28 @ ( skc13 @ coffee ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

thf(49,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf28 @ ( skc13 @ coffee ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(19,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ event ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

thf(76,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf12 @ ( skc2 @ event ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(5,negated_conjecture,
    ! [A: $i] :
      ( ( A @ skf25 @ ( A @ customer ) )
      | ~ ssSkC0
      | ~ ( A @ actual_world ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

thf(39,plain,
    ! [A: $i] :
      ( ( A @ skf25 @ ( A @ customer ) )
      | ~ ssSkC0
      | ~ ( A @ actual_world ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(7,negated_conjecture,
    ! [A: $i] :
      ( ( A @ skf34 @ ( A @ skf39 @ ( A @ in ) ) )
      | ssSkC0
      | ~ ( A @ actual_world ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

thf(48,plain,
    ! [A: $i] :
      ( ( A @ skf34 @ ( A @ skf39 @ ( A @ in ) ) )
      | ssSkC0
      | ~ ( A @ actual_world ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(17,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ event ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

thf(63,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf27 @ ( skc13 @ event ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(11,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ nonreflexive ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

thf(50,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ nonreflexive ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(27,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ event ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

thf(67,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ event ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(26,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ past ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf13 @ ( skc2 @ past ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(6,negated_conjecture,
    ! [A: $i] :
      ( ( A @ skf20 @ ( A @ restaurant ) )
      | ~ ssSkC0
      | ~ ( A @ actual_world ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

thf(43,plain,
    ! [A: $i] :
      ( ( A @ skf20 @ ( A @ restaurant ) )
      | ~ ssSkC0
      | ~ ( A @ actual_world ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(10,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ past ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

thf(40,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ past ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(37,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ssSkC0
      | ~ ( A @ actual_world )
      | ~ ( E @ ( B @ ( A @ patient ) ) )
      | ~ ( E @ ( C @ ( A @ agent ) ) )
      | ~ ( E @ ( A @ human_person ) )
      | ~ ( C @ ( A @ event ) )
      | ~ ( C @ ( A @ past ) )
      | ~ ( C @ ( A @ nonreflexive ) )
      | ~ ( C @ ( A @ drink ) )
      | ~ ( D @ ( A @ coffee ) )
      | ~ ( D @ ( C @ ( A @ patient ) ) )
      | ~ ( B @ ( A @ see ) )
      | ~ ( B @ ( A @ nonreflexive ) )
      | ~ ( B @ ( A @ past ) )
      | ~ ( A @ skf39 @ ( B @ ( A @ agent ) ) )
      | ~ ( B @ ( A @ event ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

thf(55,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ssSkC0
      | ~ ( A @ actual_world )
      | ~ ( E @ ( B @ ( A @ patient ) ) )
      | ~ ( E @ ( C @ ( A @ agent ) ) )
      | ~ ( E @ ( A @ human_person ) )
      | ~ ( C @ ( A @ event ) )
      | ~ ( C @ ( A @ past ) )
      | ~ ( C @ ( A @ nonreflexive ) )
      | ~ ( C @ ( A @ drink ) )
      | ~ ( D @ ( A @ coffee ) )
      | ~ ( D @ ( C @ ( A @ patient ) ) )
      | ~ ( B @ ( A @ see ) )
      | ~ ( B @ ( A @ nonreflexive ) )
      | ~ ( B @ ( A @ past ) )
      | ~ ( A @ skf39 @ ( B @ ( A @ agent ) ) )
      | ~ ( B @ ( A @ event ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(30,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ skf12 @ ( skc2 @ agent ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

thf(75,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ skf12 @ ( skc2 @ agent ) ) )
      | ~ ssSkC0
      | ~ ( B @ ( skc2 @ customer ) )
      | ~ ( A @ ( B @ ( skc2 @ in ) ) )
      | ~ ( A @ ( skc2 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(29,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ skf26 @ ( skc13 @ agent ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

thf(58,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( B @ skf26 @ ( skc13 @ agent ) ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(12,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ see ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

thf(47,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ skf26 @ ( skc13 @ see ) )
      | ssSkC0
      | ~ ( B @ ( skc13 @ customer ) )
      | ~ ( A @ ( B @ ( skc13 @ in ) ) )
      | ~ ( A @ ( skc13 @ restaurant ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(3,negated_conjecture,
    ! [A: $i] :
      ( ( A @ skf39 @ ( A @ customer ) )
      | ssSkC0
      | ~ ( A @ actual_world ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

thf(68,plain,
    ! [A: $i] :
      ( ( A @ skf39 @ ( A @ customer ) )
      | ssSkC0
      | ~ ( A @ actual_world ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(38,negated_conjecture,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ssSkC0
      | ~ ( A @ actual_world )
      | ~ ( E @ ( D @ ( A @ patient ) ) )
      | ~ ( E @ ( A @ coffee ) )
      | ~ ( D @ ( A @ event ) )
      | ~ ( D @ ( A @ past ) )
      | ~ ( D @ ( A @ nonreflexive ) )
      | ~ ( D @ ( A @ drink ) )
      | ~ ( C @ ( A @ human_person ) )
      | ~ ( C @ ( D @ ( A @ agent ) ) )
      | ~ ( C @ ( B @ ( A @ patient ) ) )
      | ~ ( B @ ( A @ see ) )
      | ~ ( B @ ( A @ nonreflexive ) )
      | ~ ( B @ ( A @ past ) )
      | ~ ( A @ skf25 @ ( B @ ( A @ agent ) ) )
      | ~ ( B @ ( A @ event ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

thf(62,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ssSkC0
      | ~ ( A @ actual_world )
      | ~ ( E @ ( D @ ( A @ patient ) ) )
      | ~ ( E @ ( A @ coffee ) )
      | ~ ( D @ ( A @ event ) )
      | ~ ( D @ ( A @ past ) )
      | ~ ( D @ ( A @ nonreflexive ) )
      | ~ ( D @ ( A @ drink ) )
      | ~ ( C @ ( A @ human_person ) )
      | ~ ( C @ ( D @ ( A @ agent ) ) )
      | ~ ( C @ ( B @ ( A @ patient ) ) )
      | ~ ( B @ ( A @ see ) )
      | ~ ( B @ ( A @ nonreflexive ) )
      | ~ ( B @ ( A @ past ) )
      | ~ ( A @ skf25 @ ( B @ ( A @ agent ) ) )
      | ~ ( B @ ( A @ event ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(119,plain,
    $false,
    inference(e,[status(thm)],[69,56,42,52,60,70,65,53,41,73,66,51,46,57,61,74,45,64,44,59,71,54,49,76,39,48,63,50,67,72,43,40,55,75,58,47,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.11  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.48  % Computer : n009.cluster.edu
% 0.14/0.48  % Model    : x86_64 x86_64
% 0.14/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.48  % Memory   : 8046.5625MB
% 0.14/0.48  % OS       : Linux 6.8.0-71-generic
% 0.14/0.48  % CPULimit : 300
% 0.14/0.48  % WCLimit  : 300
% 0.14/0.48  % DateTime : Sat Sep 26 00:50:14 UTC 2026
% 0.18/0.48  % CPUTime  : 
% 0.18/0.48  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.90/1.34  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.13/1.60  % [INFO] 	 Parsing done (258ms). 
% 1.32/1.62  % [INFO] 	 Running in sequential loop mode. 
% 1.84/2.12  % [INFO] 	 eprover registered as external prover. 
% 1.84/2.13  % [INFO] 	 Scanning for conjecture ... 
% 2.19/2.38  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.58/2.51  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.58/2.51  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.58/2.52  % [INFO] 	 Type checking passed. 
% 2.58/2.53  % [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 ... 
% 4.88/3.77  % External prover 'e' found a proof!
% 4.88/3.78  % [INFO] 	 Killing All external provers ... 
% 4.88/3.78  % Time passed: 3043ms (effective reasoning time: 2153ms)
% 4.88/3.78  % Axioms used in derivation (0): 
% 4.88/3.78  % No. of inferences in proof: 77
% 4.88/3.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3043 ms resp. 2153 ms w/o parsing
% 5.10/3.86  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.10/3.86  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------