TSTP Solution File: NLP094-1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NLP094-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n012.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 11:36:14 EDT 2023

% Result   : Unsatisfiable 4.12s 1.93s
% Output   : Refutation 4.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  105 (   5 unt;  28 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  :   40 (  40   >;   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_type,type,
    actual_world: $i > $o ).

thf(skc13_type,type,
    skc13: $i ).

thf(skc2_type,type,
    skc2: $i ).

thf(ssSkC0_type,type,
    ssSkC0: $o ).

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

thf(skf39_type,type,
    skf39: $i > $i ).

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

thf(skf34_type,type,
    skf34: $i > $i ).

thf(skf25_type,type,
    skf25: $i > $i ).

thf(skf20_type,type,
    skf20: $i > $i ).

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

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

thf(skf26_type,type,
    skf26: $i > $i ).

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

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

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

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

thf(skf29_type,type,
    skf29: $i > $i ).

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

thf(skf27_type,type,
    skf27: $i > $i ).

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

thf(skf28_type,type,
    skf28: $i > $i ).

thf(skf12_type,type,
    skf12: $i > $i ).

thf(skf14_type,type,
    skf14: $i > $i ).

thf(skf13_type,type,
    skf13: $i > $i ).

thf(skf15_type,type,
    skf15: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(113,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
% 0.03/0.12  % Problem  : NLP094-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May 18 14:55:47 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.97/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.20/1.04  % [INFO] 	 Parsing done (149ms). 
% 1.45/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.94/1.25  % [INFO] 	 eprover registered as external prover. 
% 1.94/1.25  % [INFO] 	 cvc4 registered as external prover. 
% 1.94/1.26  % [INFO] 	 Scanning for conjecture ... 
% 2.14/1.37  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.29/1.44  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.29/1.44  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.29/1.44  % [INFO] 	 Type checking passed. 
% 2.52/1.45  % [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 ... 
% 4.12/1.93  % External prover 'e' found a proof!
% 4.12/1.93  % [INFO] 	 Killing All external provers ... 
% 4.12/1.93  % Time passed: 1420ms (effective reasoning time: 880ms)
% 4.12/1.93  % 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)>
% 4.12/1.93  % Axioms used in derivation (0): 
% 4.12/1.93  % No. of inferences in proof: 77
% 4.12/1.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1420 ms resp. 880 ms w/o parsing
% 4.35/2.03  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.35/2.03  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------