%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NLP001+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 : Sat Jun 21 05:17:35 AM UTC 2025
% Result : Theorem 0.21s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NLP001+1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 23:37:56 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.38 % SZS status Theorem
% 0.21/0.38 % SZS output start Proof
% 0.21/0.38 tff(down_type, type, (
% 0.21/0.38 down: ( $i * $i ) > $o)).
% 0.21/0.38 tff(barrel_type, type, (
% 0.21/0.38 barrel: ( $i * $i ) > $o)).
% 0.21/0.38 tff(old_type, type, (
% 0.21/0.38 old: $i > $o)).
% 0.21/0.38 tff(dirty_type, type, (
% 0.21/0.38 dirty: $i > $o)).
% 0.21/0.38 tff(white_type, type, (
% 0.21/0.38 white: $i > $o)).
% 0.21/0.38 tff(car_type, type, (
% 0.21/0.38 car: $i > $o)).
% 0.21/0.38 tff(chevy_type, type, (
% 0.21/0.38 chevy: $i > $o)).
% 0.21/0.38 tff(lonely_type, type, (
% 0.21/0.38 lonely: $i > $o)).
% 0.21/0.38 tff(way_type, type, (
% 0.21/0.38 way: $i > $o)).
% 0.21/0.38 tff(street_type, type, (
% 0.21/0.38 street: $i > $o)).
% 0.21/0.38 tff(in_type, type, (
% 0.21/0.38 in: ( $i * $i ) > $o)).
% 0.21/0.38 tff(hollywood_type, type, (
% 0.21/0.38 hollywood: $i > $o)).
% 0.21/0.38 tff(city_type, type, (
% 0.21/0.38 city: $i > $o)).
% 0.21/0.38 tff(event_type, type, (
% 0.21/0.38 event: $i > $o)).
% 0.21/0.38 tff(tptp_fun_X3_7_type, type, (
% 0.21/0.38 tptp_fun_X3_7: $i)).
% 0.21/0.38 tff(tptp_fun_X4_6_type, type, (
% 0.21/0.38 tptp_fun_X4_6: $i)).
% 0.21/0.38 tff(tptp_fun_X5_5_type, type, (
% 0.21/0.38 tptp_fun_X5_5: $i)).
% 0.21/0.38 tff(tptp_fun_X6_4_type, type, (
% 0.21/0.38 tptp_fun_X6_4: $i)).
% 0.21/0.38 tff(tptp_fun_U_3_type, type, (
% 0.21/0.38 tptp_fun_U_3: $i)).
% 0.21/0.38 tff(tptp_fun_V_2_type, type, (
% 0.21/0.38 tptp_fun_V_2: $i)).
% 0.21/0.38 tff(tptp_fun_W_1_type, type, (
% 0.21/0.38 tptp_fun_W_1: $i)).
% 0.21/0.38 tff(tptp_fun_X_0_type, type, (
% 0.21/0.38 tptp_fun_X_0: $i)).
% 0.21/0.38 tff(1,assumption,(~((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))))), introduced(assumption)).
% 0.21/0.38 tff(2,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | ![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(3,plain,
% 0.21/0.38 (![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.21/0.38 tff(4,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | in(V!2, U!3)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(5,plain,
% 0.21/0.38 (in(V!2, U!3)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.21/0.38 tff(6,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | down(V!2, W!1)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(7,plain,
% 0.21/0.38 (down(V!2, W!1)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.21/0.38 tff(8,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | barrel(V!2, X!0)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(9,plain,
% 0.21/0.38 (barrel(V!2, X!0)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[8, 1])).
% 0.21/0.38 tff(10,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | old(X!0)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(11,plain,
% 0.21/0.38 (old(X!0)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[10, 1])).
% 0.21/0.38 tff(12,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | dirty(X!0)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(13,plain,
% 0.21/0.38 (dirty(X!0)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[12, 1])).
% 0.21/0.38 tff(14,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | white(X!0)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(15,plain,
% 0.21/0.38 (white(X!0)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[14, 1])).
% 0.21/0.38 tff(16,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | car(X!0)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(17,plain,
% 0.21/0.38 (car(X!0)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[16, 1])).
% 0.21/0.38 tff(18,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | chevy(X!0)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(19,plain,
% 0.21/0.38 (chevy(X!0)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[18, 1])).
% 0.21/0.38 tff(20,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | lonely(W!1)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(21,plain,
% 0.21/0.38 (lonely(W!1)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[20, 1])).
% 0.21/0.38 tff(22,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | way(W!1)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(23,plain,
% 0.21/0.38 (way(W!1)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[22, 1])).
% 0.21/0.38 tff(24,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | street(W!1)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(25,plain,
% 0.21/0.38 (street(W!1)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[24, 1])).
% 0.21/0.38 tff(26,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | event(V!2)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(27,plain,
% 0.21/0.38 (event(V!2)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[26, 1])).
% 0.21/0.38 tff(28,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | city(U!3)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(29,plain,
% 0.21/0.38 (city(U!3)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[28, 1])).
% 0.21/0.38 tff(30,plain,
% 0.21/0.38 (((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))) | hollywood(U!3)),
% 0.21/0.38 inference(tautology,[status(thm)],[])).
% 0.21/0.38 tff(31,plain,
% 0.21/0.38 (hollywood(U!3)),
% 0.21/0.38 inference(unit_resolution,[status(thm)],[30, 1])).
% 0.21/0.38 tff(32,plain,
% 0.21/0.38 (((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | ((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)))) <=> ((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | (~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(33,plain,
% 0.21/0.39 (((~dirty(X!0)) | (~old(X!0)) | (~street(W!1)) | (~way(W!1)) | (~chevy(X!0)) | (~event(V!2)) | (~city(U!3)) | (~hollywood(U!3)) | (~lonely(W!1)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~car(X!0)) | (~white(X!0))) <=> ((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(34,plain,
% 0.21/0.39 (((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | ((~dirty(X!0)) | (~old(X!0)) | (~street(W!1)) | (~way(W!1)) | (~chevy(X!0)) | (~event(V!2)) | (~city(U!3)) | (~hollywood(U!3)) | (~lonely(W!1)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~car(X!0)) | (~white(X!0)))) <=> ((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | ((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3))))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[33])).
% 0.21/0.39 tff(35,plain,
% 0.21/0.39 (((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | ((~dirty(X!0)) | (~old(X!0)) | (~street(W!1)) | (~way(W!1)) | (~chevy(X!0)) | (~event(V!2)) | (~city(U!3)) | (~hollywood(U!3)) | (~lonely(W!1)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~car(X!0)) | (~white(X!0)))) <=> ((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | (~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)))),
% 0.21/0.39 inference(transitivity,[status(thm)],[34, 32])).
% 0.21/0.39 tff(36,plain,
% 0.21/0.39 ((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | ((~dirty(X!0)) | (~old(X!0)) | (~street(W!1)) | (~way(W!1)) | (~chevy(X!0)) | (~event(V!2)) | (~city(U!3)) | (~hollywood(U!3)) | (~lonely(W!1)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~car(X!0)) | (~white(X!0)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(37,plain,
% 0.21/0.39 ((~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))) | (~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.21/0.39 tff(38,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[37, 31, 29, 27, 25, 23, 21, 19, 17, 15, 13, 11, 9, 7, 5, 3])).
% 0.21/0.39 tff(39,plain,((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(40,plain,
% 0.21/0.39 (((~((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))))) | (~((~hollywood(X3!7)) | (~city(X3!7)) | (~car(X5!5)) | (~white(X5!5)) | (~dirty(X5!5)) | (~old(X5!5)) | (~street(X6!4)) | (~way(X6!4)) | (~lonely(X6!4)) | (~barrel(X4!6, X5!5)) | (~down(X4!6, X6!4)) | (~event(X4!6)) | (~chevy(X5!5)) | (~in(X4!6, X3!7)) | (~![X7: $i, X8: $i, X9: $i, X10: $i] : ((~event(X8)) | (~city(X7)) | (~hollywood(X7)) | (~in(X8, X7)) | (~street(X9)) | (~way(X9)) | (~lonely(X9)) | (~chevy(X10)) | (~car(X10)) | (~white(X10)) | (~dirty(X10)) | (~old(X10)) | (~barrel(X8, X10)) | (~down(X8, X9))))))) <=> ((~((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))))) | (~((~hollywood(X3!7)) | (~city(X3!7)) | (~car(X5!5)) | (~white(X5!5)) | (~dirty(X5!5)) | (~old(X5!5)) | (~street(X6!4)) | (~way(X6!4)) | (~lonely(X6!4)) | (~barrel(X4!6, X5!5)) | (~down(X4!6, X6!4)) | (~event(X4!6)) | (~chevy(X5!5)) | (~in(X4!6, X3!7)) | (~![X7: $i, X8: $i, X9: $i, X10: $i] : ((~event(X8)) | (~city(X7)) | (~hollywood(X7)) | (~in(X8, X7)) | (~street(X9)) | (~way(X9)) | (~lonely(X9)) | (~chevy(X10)) | (~car(X10)) | (~white(X10)) | (~dirty(X10)) | (~old(X10)) | (~barrel(X8, X10)) | (~down(X8, X9)))))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(41,plain,
% 0.21/0.39 (((hollywood(U!3) & city(U!3) & event(V!2) & street(W!1) & way(W!1) & lonely(W!1) & chevy(X!0) & car(X!0) & white(X!0) & dirty(X!0) & old(X!0) & barrel(V!2, X!0) & down(V!2, W!1) & in(V!2, U!3) & ![Y: $i, Z: $i, X1: $i, X2: $i] : (~(hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y)))) | (hollywood(X3!7) & city(X3!7) & event(X4!6) & chevy(X5!5) & car(X5!5) & white(X5!5) & dirty(X5!5) & old(X5!5) & street(X6!4) & way(X6!4) & lonely(X6!4) & barrel(X4!6, X5!5) & down(X4!6, X6!4) & in(X4!6, X3!7) & ![X7: $i, X8: $i, X9: $i, X10: $i] : (~(hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))) <=> ((~((~hollywood(U!3)) | (~city(U!3)) | (~event(V!2)) | (~street(W!1)) | (~way(W!1)) | (~lonely(W!1)) | (~chevy(X!0)) | (~car(X!0)) | (~white(X!0)) | (~dirty(X!0)) | (~old(X!0)) | (~barrel(V!2, X!0)) | (~down(V!2, W!1)) | (~in(V!2, U!3)) | (~![Y: $i, Z: $i, X1: $i, X2: $i] : ((~dirty(X1)) | (~old(X1)) | (~street(X2)) | (~way(X2)) | (~chevy(X1)) | (~event(Z)) | (~city(Y)) | (~hollywood(Y)) | (~lonely(X2)) | (~barrel(Z, X1)) | (~down(Z, X2)) | (~in(Z, Y)) | (~car(X1)) | (~white(X1)))))) | (~((~hollywood(X3!7)) | (~city(X3!7)) | (~car(X5!5)) | (~white(X5!5)) | (~dirty(X5!5)) | (~old(X5!5)) | (~street(X6!4)) | (~way(X6!4)) | (~lonely(X6!4)) | (~barrel(X4!6, X5!5)) | (~down(X4!6, X6!4)) | (~event(X4!6)) | (~chevy(X5!5)) | (~in(X4!6, X3!7)) | (~![X7: $i, X8: $i, X9: $i, X10: $i] : ((~event(X8)) | (~city(X7)) | (~hollywood(X7)) | (~in(X8, X7)) | (~street(X9)) | (~way(X9)) | (~lonely(X9)) | (~chevy(X10)) | (~car(X10)) | (~white(X10)) | (~dirty(X10)) | (~old(X10)) | (~barrel(X8, X10)) | (~down(X8, X9)))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(42,plain,
% 0.21/0.40 ((((hollywood(U!3) & city(U!3) & event(V!2) & street(W!1) & way(W!1) & lonely(W!1) & chevy(X!0) & car(X!0) & white(X!0) & dirty(X!0) & old(X!0) & barrel(V!2, X!0) & down(V!2, W!1) & in(V!2, U!3)) & ![Y: $i, Z: $i, X1: $i, X2: $i] : (~(hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y)))) | ((hollywood(X3!7) & city(X3!7) & event(X4!6) & chevy(X5!5) & car(X5!5) & white(X5!5) & dirty(X5!5) & old(X5!5) & street(X6!4) & way(X6!4) & lonely(X6!4) & barrel(X4!6, X5!5) & down(X4!6, X6!4) & in(X4!6, X3!7)) & ![X7: $i, X8: $i, X9: $i, X10: $i] : (~(hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))) <=> ((hollywood(U!3) & city(U!3) & event(V!2) & street(W!1) & way(W!1) & lonely(W!1) & chevy(X!0) & car(X!0) & white(X!0) & dirty(X!0) & old(X!0) & barrel(V!2, X!0) & down(V!2, W!1) & in(V!2, U!3) & ![Y: $i, Z: $i, X1: $i, X2: $i] : (~(hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y)))) | (hollywood(X3!7) & city(X3!7) & event(X4!6) & chevy(X5!5) & car(X5!5) & white(X5!5) & dirty(X5!5) & old(X5!5) & street(X6!4) & way(X6!4) & lonely(X6!4) & barrel(X4!6, X5!5) & down(X4!6, X6!4) & in(X4!6, X3!7) & ![X7: $i, X8: $i, X9: $i, X10: $i] : (~(hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(43,plain,
% 0.21/0.40 (((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))) <=> ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(44,plain,
% 0.21/0.40 (((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) <=> ((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(45,plain,
% 0.21/0.40 ((((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7)))) <=> (((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[44, 43])).
% 0.21/0.40 tff(46,plain,
% 0.21/0.40 ((~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))) <=> (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7)))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[45])).
% 0.21/0.40 tff(47,plain,
% 0.21/0.40 ((~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))) <=> (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(48,plain,
% 0.21/0.40 ((~((?[U: $i, V: $i, W: $i, X: $i] : (((((((((((((hollywood(U) & city(U)) & event(V)) & street(W)) & way(W)) & lonely(W)) & chevy(X)) & car(X)) & white(X)) & dirty(X)) & old(X)) & barrel(V, X)) & down(V, W)) & in(V, U)) => ?[Y: $i, Z: $i, X1: $i, X2: $i] : (((((((((((((hollywood(Y) & city(Y)) & event(Z)) & chevy(X1)) & car(X1)) & white(X1)) & dirty(X1)) & old(X1)) & street(X2)) & way(X2)) & lonely(X2)) & barrel(Z, X1)) & down(Z, X2)) & in(Z, Y))) & (?[X3: $i, X4: $i, X5: $i, X6: $i] : (((((((((((((hollywood(X3) & city(X3)) & event(X4)) & chevy(X5)) & car(X5)) & white(X5)) & dirty(X5)) & old(X5)) & street(X6)) & way(X6)) & lonely(X6)) & barrel(X4, X5)) & down(X4, X6)) & in(X4, X3)) => ?[X7: $i, X8: $i, X9: $i, X10: $i] : (((((((((((((hollywood(X7) & city(X7)) & event(X8)) & street(X9)) & way(X9)) & lonely(X9)) & chevy(X10)) & car(X10)) & white(X10)) & dirty(X10)) & old(X10)) & barrel(X8, X10)) & down(X8, X9)) & in(X8, X7))))) <=> (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(49,axiom,(~((?[U: $i, V: $i, W: $i, X: $i] : (((((((((((((hollywood(U) & city(U)) & event(V)) & street(W)) & way(W)) & lonely(W)) & chevy(X)) & car(X)) & white(X)) & dirty(X)) & old(X)) & barrel(V, X)) & down(V, W)) & in(V, U)) => ?[Y: $i, Z: $i, X1: $i, X2: $i] : (((((((((((((hollywood(Y) & city(Y)) & event(Z)) & chevy(X1)) & car(X1)) & white(X1)) & dirty(X1)) & old(X1)) & street(X2)) & way(X2)) & lonely(X2)) & barrel(Z, X1)) & down(Z, X2)) & in(Z, Y))) & (?[X3: $i, X4: $i, X5: $i, X6: $i] : (((((((((((((hollywood(X3) & city(X3)) & event(X4)) & chevy(X5)) & car(X5)) & white(X5)) & dirty(X5)) & old(X5)) & street(X6)) & way(X6)) & lonely(X6)) & barrel(X4, X5)) & down(X4, X6)) & in(X4, X3)) => ?[X7: $i, X8: $i, X9: $i, X10: $i] : (((((((((((((hollywood(X7) & city(X7)) & event(X8)) & street(X9)) & way(X9)) & lonely(X9)) & chevy(X10)) & car(X10)) & white(X10)) & dirty(X10)) & old(X10)) & barrel(X8, X10)) & down(X8, X9)) & in(X8, X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co1')).
% 0.21/0.41 tff(50,plain,
% 0.21/0.41 (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.21/0.41 tff(51,plain,
% 0.21/0.41 (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.21/0.41 tff(52,plain,
% 0.21/0.41 (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.21/0.41 tff(53,plain,
% 0.21/0.41 (~(((~?[U: $i, V: $i, W: $i, X: $i] : (hollywood(U) & city(U) & event(V) & street(W) & way(W) & lonely(W) & chevy(X) & car(X) & white(X) & dirty(X) & old(X) & barrel(V, X) & down(V, W) & in(V, U))) | ?[Y: $i, Z: $i, X1: $i, X2: $i] : (hollywood(Y) & city(Y) & event(Z) & chevy(X1) & car(X1) & white(X1) & dirty(X1) & old(X1) & street(X2) & way(X2) & lonely(X2) & barrel(Z, X1) & down(Z, X2) & in(Z, Y))) & ((~?[X3: $i, X4: $i, X5: $i, X6: $i] : (hollywood(X3) & city(X3) & event(X4) & chevy(X5) & car(X5) & white(X5) & dirty(X5) & old(X5) & street(X6) & way(X6) & lonely(X6) & barrel(X4, X5) & down(X4, X6) & in(X4, X3))) | ?[X7: $i, X8: $i, X9: $i, X10: $i] : (hollywood(X7) & city(X7) & event(X8) & street(X9) & way(X9) & lonely(X9) & chevy(X10) & car(X10) & white(X10) & dirty(X10) & old(X10) & barrel(X8, X10) & down(X8, X9) & in(X8, X7))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[52, 46])).
% 0.21/0.41 unexpected number of arguments: (let ((a!1 (exists ((U $i) (V $i) (W $i) (X $i))
% 0.21/0.41 (and (hollywood U)
% 0.21/0.41 (city U)
% 0.21/0.41 (event V)
% 0.21/0.41 (street W)
% 0.21/0.41 (way W)
% 0.21/0.41 (lonely W)
% 0.21/0.41 (chevy X)
% 0.21/0.41 (car X)
% 0.21/0.41 (white X)
% 0.21/0.41 (dirty X)
% 0.21/0.41 (old X)
% 0.21/0.41 (barrel V X)
% 0.21/0.41 (down V W)
% 0.21/0.41 (in V U))))
% 0.21/0.41 (a!2 (and (hollywood U!3)
% 0.21/0.41 (city U!3)
% 0.21/0.41 (event V!2)
% 0.21/0.41 (street W!1)
% 0.21/0.41 (way W!1)
% 0.21/0.41 (lonely W!1)
% 0.21/0.41 (chevy X!0)
% 0.21/0.41 (car X!0)
% 0.21/0.41 (white X!0)
% 0.21/0.41 (dirty X!0)
% 0.21/0.41 (old X!0)
% 0.21/0.41 (barrel V!2 X!0)
% 0.21/0.41 (down V!2 W!1)
% 0.21/0.41 (in V!2 U!3)))
% 0.21/0.41 (a!4 (lambda ((Y $i) (Z $i) (X1 $i) (X2 $i))
% 0.21/0.41 (let ((a!1 (and (hollywood Y)
% 0.21/0.41 (city Y)
% 0.21/0.41 (event Z)
% 0.21/0.41 (chevy X1)
% 0.21/0.41 (car X1)
% 0.21/0.41 (white X1)
% 0.21/0.41 (dirty X1)
% 0.21/0.41 (old X1)
% 0.21/0.41 (street X2)
% 0.21/0.41 (way X2)
% 0.21/0.41 (lonely X2)
% 0.21/0.41 (barrel Z X1)
% 0.21/0.41 (down Z X2)
% 0.21/0.41 (in Z Y))))
% 0.21/0.41 (refl (~ (not a!1) (not a!1))))))
% 0.21/0.41 (a!5 (exists ((Y $i) (Z $i) (X1 $i) (X2 $i))
% 0.21/0.41 (and (hollywood Y)
% 0.21/0.41 (city Y)
% 0.21/0.41 (event Z)
% 0.21/0.41 (chevy X1)
% 0.21/0.41 (car X1)
% 0.21/0.41 (white X1)
% 0.21/0.41 (dirty X1)
% 0.21/0.41 (old X1)
% 0.21/0.41 (street X2)
% 0.21/0.41 (way X2)
% 0.21/0.41 (lonely X2)
% 0.21/0.41 (barrel Z X1)
% 0.21/0.41 (down Z X2)
% 0.21/0.41 (in Z Y))))
% 0.21/0.41 (a!6 (forall ((Y $i) (Z $i) (X1 $i) (X2 $i))
% 0.21/0.41 (let ((a!1 (and (hollywood Y)
% 0.21/0.41 (city Y)
% 0.21/0.41 (event Z)
% 0.21/0.41 (chevy X1)
% 0.21/0.41 (car X1)
% 0.21/0.41 (white X1)
% 0.21/0.41 (dirty X1)
% 0.21/0.41 (old X1)
% 0.21/0.41 (street X2)
% 0.21/0.41 (way X2)
% 0.21/0.41 (lonely X2)
% 0.21/0.41 (barrel Z X1)
% 0.21/0.41 (down Z X2)
% 0.21/0.41 (in Z Y))))
% 0.21/0.41 (not a!1))))
% 0.21/0.41 (a!9 (exists ((X3 $i) (X4 $i) (X5 $i) (X6 $i))
% 0.21/0.41 (and (hollywood X3)
% 0.21/0.41 (city X3)
% 0.21/0.41 (event X4)
% 0.21/0.41 (chevy X5)
% 0.21/0.41 (car X5)
% 0.21/0.41 (white X5)
% 0.21/0.41 (dirty X5)
% 0.21/0.41 (old X5)
% 0.21/0.41 (street X6)
% 0.21/0.41 (way X6)
% 0.21/0.41 (lonely X6)
% 0.21/0.41 (barrel X4 X5)
% 0.21/0.41 (down X4 X6)
% 0.21/0.41 (in X4 X3))))
% 0.21/0.41 (a!10 (and (hollywood X3!7)
% 0.21/0.41 (city X3!7)
% 0.21/0.41 (event X4!6)
% 0.21/0.41 (chevy X5!5)
% 0.21/0.41 (car X5!5)
% 0.21/0.41 (white X5!5)
% 0.21/0.41 (dirty X5!5)
% 0.21/0.41 (old X5!5)
% 0.21/0.41 (street X6!4)
% 0.21/0.41 (way X6!4)
% 0.21/0.41 (lonely X6!4)
% 0.21/0.41 (barrel X4!6 X5!5)
% 0.21/0.41 (down X4!6 X6!4)
% 0.21/0.41 (in X4!6 X3!7)))
% 0.21/0.41 (a!12 (lambda ((X7 $i) (X8 $i) (X9 $i) (X10 $i))
% 0.21/0.41 (let ((a!1 (and (hollywood X7)
% 0.21/0.41 (city X7)
% 0.21/0.41 (event X8)
% 0.21/0.41 (street X9)
% 0.21/0.41 (way X9)
% 0.21/0.41 (lonely X9)
% 0.21/0.41 (chevy X10)
% 0.21/0.41 (car X10)
% 0.21/0.41 (white X10)
% 0.21/0.41 (dirty X10)
% 0.21/0.41 (old X10)
% 0.21/0.41 (barrel X8 X10)
% 0.21/0.41 (down X8 X9)
% 0.21/0.41 (in X8 X7))))
% 0.21/0.41 (refl (~ (not a!1) (not a!1))))))
% 0.21/0.41 (a!13 (exists ((X7 $i) (X8 $i) (X9 $i) (X10 $i))
% 0.21/0.41 (and (hollywood X7)
% 0.21/0.41 (city X7)
% 0.21/0.41 (event X8)
% 0.21/0.41 (street X9)
% 0.21/0.41 (way X9)
% 0.21/0.41 (lonely X9)
% 0.21/0.41 (chevy X10)
% 0.21/0.41 (car X10)
% 0.21/0.41 (white X10)
% 0.21/0.41 (dirty X10)
% 0.21/0.41 (old X10)
% 0.21/0.41 (barrel X8 X10)
% 0.21/0.41 (down X8 X9)
% 0.21/0.41 (in X8 X7))))
% 0.21/0.41 (a!14 (forall ((X7 $i) (X8 $i) (X9 $i) (X10 $i))
% 0.21/0.41 (let ((a!1 (and (hollywood X7)
% 0.21/0.41 (city X7)
% 0.21/0.41 (event X8)
% 0.21/0.41 (street X9)
% 0.21/0.41 (way X9)
% 0.21/0.41 (lonely X9)
% 0.21/0.41 (chevy X10)
% 0.21/0.41 (car X10)
% 0.21/0.41 (white X10)
% 0.21/0.41 (dirty X10)
% 0.21/0.41 (old X10)
% 0.21/0.41 (barrel X8 X10)
% 0.21/0.41 (down X8 X9)
% 0.21/0.41 (in X8 X7))))
% 0.21/0.41 (not a!1)))))
% 0.21/0.41 (let ((a!3 (nnf-neg (sk (~ a!1 a!2)) (~ (not (not a!1)) a!2)))
% 0.21/0.41 (a!7 (~ (not (or (not a!1) a!5)) (and a!2 a!6)))
% 0.21/0.41 (a!11 (nnf-neg (sk (~ a!9 a!10)) (~ (not (not a!9)) a!10)))
% 0.21/0.41 (a!15 (~ (not (or (not a!9) a!13)) (and a!10 a!14)))
% 0.21/0.41 (a!17 (not (and (or (not a!1) a!5) (or (not a!9) a!13)))))
% 0.21/0.41 (let ((a!8 (nnf-neg a!3 (nnf-neg (proof-bind a!4) (~ (not a!5) a!6)) a!7))
% 0.21/0.41 (a!16 (nnf-neg a!11 (nnf-neg (proof-bind a!12) (~ (not a!13) a!14)) a!15)))
% 0.21/0.41 (nnf-neg a!8 a!16 (~ a!17 (or (and a!2 a!6) (and a!10 a!14)))))))
% 0.21/0.41 Proof display could not be completed: unexpected number of arguments
% 0.21/0.42 % E exiting
%------------------------------------------------------------------------------