%------------------------------------------------------------------------------
% 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 : n015.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 05:17:36 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP001-1 : TPTP v9.0.0. Released v2.4.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 23:37:56 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.37 % SZS status Unsatisfiable
% 0.19/0.37 % SZS output start Proof
% 0.19/0.37 tff(chevy_type, type, (
% 0.19/0.37 chevy: $i > $o)).
% 0.19/0.37 tff(car_type, type, (
% 0.19/0.37 car: $i > $o)).
% 0.19/0.37 tff(white_type, type, (
% 0.19/0.37 white: $i > $o)).
% 0.19/0.37 tff(dirty_type, type, (
% 0.19/0.37 dirty: $i > $o)).
% 0.19/0.37 tff(old_type, type, (
% 0.19/0.37 old: $i > $o)).
% 0.19/0.37 tff(lonely_type, type, (
% 0.19/0.37 lonely: $i > $o)).
% 0.19/0.37 tff(way_type, type, (
% 0.19/0.37 way: $i > $o)).
% 0.19/0.37 tff(street_type, type, (
% 0.19/0.37 street: $i > $o)).
% 0.19/0.37 tff(barrel_type, type, (
% 0.19/0.37 barrel: ( $i * $i ) > $o)).
% 0.19/0.37 tff(down_type, type, (
% 0.19/0.37 down: ( $i * $i ) > $o)).
% 0.19/0.37 tff(event_type, type, (
% 0.19/0.37 event: $i > $o)).
% 0.19/0.37 tff(in_type, type, (
% 0.19/0.37 in: ( $i * $i ) > $o)).
% 0.19/0.37 tff(city_type, type, (
% 0.19/0.37 city: $i > $o)).
% 0.19/0.37 tff(hollywood_type, type, (
% 0.19/0.37 hollywood: $i > $o)).
% 0.19/0.37 tff(ssSkC0_type, type, (
% 0.19/0.37 ssSkC0: $o)).
% 0.19/0.37 tff(skc11_type, type, (
% 0.19/0.37 skc11: $i)).
% 0.19/0.37 tff(skc10_type, type, (
% 0.19/0.37 skc10: $i)).
% 0.19/0.37 tff(skc15_type, type, (
% 0.19/0.37 skc15: $i)).
% 0.19/0.37 tff(skc14_type, type, (
% 0.19/0.37 skc14: $i)).
% 0.19/0.37 tff(skc13_type, type, (
% 0.19/0.37 skc13: $i)).
% 0.19/0.37 tff(skc12_type, type, (
% 0.19/0.37 skc12: $i)).
% 0.19/0.37 tff(skc8_type, type, (
% 0.19/0.37 skc8: $i)).
% 0.19/0.37 tff(skc9_type, type, (
% 0.19/0.37 skc9: $i)).
% 0.19/0.37 tff(1,plain,
% 0.19/0.37 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) <=> ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(2,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.37 tff(3,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(4,plain,
% 0.19/0.37 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~chevy(U)) | (~car(U))) <=> ((~car(U)) | (~chevy(U)))), ((((~chevy(U)) | (~car(U))) | (~white(U))) <=> (((~car(U)) | (~chevy(U))) | (~white(U))))), rewrite((((~car(U)) | (~chevy(U))) | (~white(U))) <=> ((~white(U)) | (~car(U)) | (~chevy(U)))), ((((~chevy(U)) | (~car(U))) | (~white(U))) <=> ((~white(U)) | (~car(U)) | (~chevy(U))))), (((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) <=> (((~white(U)) | (~car(U)) | (~chevy(U))) | (~dirty(U))))), rewrite((((~white(U)) | (~car(U)) | (~chevy(U))) | (~dirty(U))) <=> ((~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), (((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) <=> ((~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), ((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) <=> (((~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~old(U))))), rewrite((((~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~old(U))) <=> ((~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), ((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) <=> ((~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), (((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) <=> (((~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~lonely(V))))), rewrite((((~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~lonely(V))) <=> ((~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), (((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) <=> ((~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), ((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) <=> (((~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~way(V))))), rewrite((((~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~way(V))) <=> ((~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), ((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) <=> ((~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), (((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) <=> (((~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~street(V))))), rewrite((((~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~street(V))) <=> ((~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), (((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) <=> ((~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), ((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) <=> (((~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~event(W))))), rewrite((((~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~event(W))) <=> ((~event(W)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), ((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) <=> ((~event(W)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), (((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) <=> (((~event(W)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~barrel(W, U))))), rewrite((((~event(W)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~barrel(W, U))) <=> ((~event(W)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), (((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) <=> ((~event(W)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), ((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) <=> (((~event(W)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~down(W, V))))), rewrite((((~event(W)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~down(W, V))) <=> ((~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), ((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) <=> ((~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), (((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) <=> (((~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~in(W, X))))), rewrite((((~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~in(W, X))) <=> ((~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), (((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) <=> ((~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), ((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) <=> (((~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~city(X))))), rewrite((((~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~city(X))) <=> ((~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), ((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) <=> ((~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), (((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) <=> (((~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~hollywood(X))))), rewrite((((~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~hollywood(X))) <=> ((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), (((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) <=> ((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))))), ((((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | (~ssSkC0)) <=> (((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~ssSkC0)))), rewrite((((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))), ((((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | (~ssSkC0)) <=> ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(5,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : (((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | (~ssSkC0)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.37 tff(6,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((((((((((~chevy(U)) | (~car(U))) | (~white(U))) | (~dirty(U))) | (~old(U))) | (~lonely(V))) | (~way(V))) | (~street(V))) | (~event(W))) | (~barrel(W, U))) | (~down(W, V))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | (~ssSkC0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause30')).
% 0.19/0.37 tff(7,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.37 tff(8,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.37 tff(9,plain,(
% 0.19/0.37 ![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(skolemize,[status(sab)],[8])).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) <=> (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(12,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[11])).
% 0.19/0.37 tff(13,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(14,plain,
% 0.19/0.37 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~street(U)) | (~way(U))) | (~lonely(U))) <=> ((~lonely(U)) | (~way(U)) | (~street(U)))), (((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) <=> (((~lonely(U)) | (~way(U)) | (~street(U))) | (~old(V))))), rewrite((((~lonely(U)) | (~way(U)) | (~street(U))) | (~old(V))) <=> ((~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), (((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) <=> ((~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), ((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) <=> (((~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~dirty(V))))), rewrite((((~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~dirty(V))) <=> ((~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), ((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) <=> ((~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), (((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) <=> (((~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~white(V))))), rewrite((((~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~white(V))) <=> ((~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), (((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) <=> ((~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), ((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) <=> (((~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~car(V))))), rewrite((((~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~car(V))) <=> ((~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), ((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) <=> ((~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), (((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) <=> (((~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~chevy(V))))), rewrite((((~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~chevy(V))) <=> ((~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), (((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) <=> ((~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), ((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) <=> (((~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~event(W))))), rewrite((((~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~event(W))) <=> ((~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), ((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) <=> ((~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), (((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) <=> (((~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~barrel(W, V))))), rewrite((((~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~barrel(W, V))) <=> ((~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), (((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) <=> ((~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), ((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) <=> (((~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~down(W, U))))), rewrite((((~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~down(W, U))) <=> ((~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), ((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) <=> ((~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), (((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) <=> (((~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~in(W, X))))), rewrite((((~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~in(W, X))) <=> ((~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), (((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) <=> ((~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), ((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) <=> (((~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~city(X))))), rewrite((((~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~city(X))) <=> ((~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), ((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) <=> ((~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), (((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) <=> (((~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~hollywood(X))))), rewrite((((~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | (~hollywood(X))) <=> ((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), (((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) <=> ((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))))), ((((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | ssSkC0) <=> (((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | ssSkC0))), rewrite((((~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U))) | ssSkC0) <=> (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))), ((((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | ssSkC0) <=> (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(15,plain,
% 0.19/0.37 (![W: $i, V: $i, U: $i, X: $i] : (((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | ssSkC0) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[14])).
% 0.19/0.38 tff(16,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((((((((((~street(U)) | (~way(U))) | (~lonely(U))) | (~old(V))) | (~dirty(V))) | (~white(V))) | (~car(V))) | (~chevy(V))) | (~event(W))) | (~barrel(W, V))) | (~down(W, U))) | (~in(W, X))) | (~city(X))) | (~hollywood(X))) | ssSkC0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause29')).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 (![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 (![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.19/0.38 tff(19,plain,(
% 0.19/0.38 ![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[18])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 (![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.19/0.38 tff(21,assumption,(~ssSkC0), introduced(assumption)).
% 0.19/0.38 tff(22,plain,
% 0.19/0.38 ((ssSkC0 | in(skc14, skc15)) <=> (ssSkC0 | in(skc14, skc15))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(23,axiom,(ssSkC0 | in(skc14, skc15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause25')).
% 0.19/0.38 tff(24,plain,
% 0.19/0.38 (ssSkC0 | in(skc14, skc15)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 (in(skc14, skc15)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[24, 21])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 ((ssSkC0 | down(skc14, skc13)) <=> (ssSkC0 | down(skc14, skc13))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(27,axiom,(ssSkC0 | down(skc14, skc13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause24')).
% 0.19/0.38 tff(28,plain,
% 0.19/0.38 (ssSkC0 | down(skc14, skc13)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.38 tff(29,plain,
% 0.19/0.38 (down(skc14, skc13)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[28, 21])).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 ((ssSkC0 | barrel(skc14, skc12)) <=> (ssSkC0 | barrel(skc14, skc12))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(31,axiom,(ssSkC0 | barrel(skc14, skc12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause23')).
% 0.19/0.38 tff(32,plain,
% 0.19/0.38 (ssSkC0 | barrel(skc14, skc12)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.38 tff(33,plain,
% 0.19/0.38 (barrel(skc14, skc12)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[32, 21])).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 ((ssSkC0 | city(skc15)) <=> (ssSkC0 | city(skc15))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(35,axiom,(ssSkC0 | city(skc15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause15')).
% 0.19/0.38 tff(36,plain,
% 0.19/0.38 (ssSkC0 | city(skc15)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (city(skc15)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[36, 21])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 ((ssSkC0 | way(skc13)) <=> (ssSkC0 | way(skc13))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(39,axiom,(ssSkC0 | way(skc13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause14')).
% 0.19/0.38 tff(40,plain,
% 0.19/0.38 (ssSkC0 | way(skc13)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 (way(skc13)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[40, 21])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 ((ssSkC0 | lonely(skc13)) <=> (ssSkC0 | lonely(skc13))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(43,axiom,(ssSkC0 | lonely(skc13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause13')).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 (ssSkC0 | lonely(skc13)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.19/0.38 tff(45,plain,
% 0.19/0.38 (lonely(skc13)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[44, 21])).
% 0.19/0.38 tff(46,plain,
% 0.19/0.38 ((ssSkC0 | dirty(skc12)) <=> (ssSkC0 | dirty(skc12))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(47,axiom,(ssSkC0 | dirty(skc12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause12')).
% 0.19/0.38 tff(48,plain,
% 0.19/0.38 (ssSkC0 | dirty(skc12)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.38 tff(49,plain,
% 0.19/0.38 (dirty(skc12)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[48, 21])).
% 0.19/0.38 tff(50,plain,
% 0.19/0.38 ((ssSkC0 | white(skc12)) <=> (ssSkC0 | white(skc12))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(51,axiom,(ssSkC0 | white(skc12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause11')).
% 0.19/0.38 tff(52,plain,
% 0.19/0.38 (ssSkC0 | white(skc12)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.19/0.38 tff(53,plain,
% 0.19/0.38 (white(skc12)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[52, 21])).
% 0.19/0.38 tff(54,plain,
% 0.19/0.38 ((ssSkC0 | car(skc12)) <=> (ssSkC0 | car(skc12))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(55,axiom,(ssSkC0 | car(skc12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause10')).
% 0.19/0.38 tff(56,plain,
% 0.19/0.38 (ssSkC0 | car(skc12)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.19/0.38 tff(57,plain,
% 0.19/0.38 (car(skc12)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[56, 21])).
% 0.19/0.38 tff(58,plain,
% 0.19/0.38 ((ssSkC0 | chevy(skc12)) <=> (ssSkC0 | chevy(skc12))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(59,axiom,(ssSkC0 | chevy(skc12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause9')).
% 0.19/0.38 tff(60,plain,
% 0.19/0.38 (ssSkC0 | chevy(skc12)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.38 tff(61,plain,
% 0.19/0.38 (chevy(skc12)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[60, 21])).
% 0.19/0.38 tff(62,plain,
% 0.19/0.38 (old(skc12) <=> old(skc12)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(63,axiom,(old(skc12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause4')).
% 0.19/0.38 tff(64,plain,
% 0.19/0.38 (old(skc12)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.19/0.38 tff(65,plain,
% 0.19/0.38 (street(skc13) <=> street(skc13)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(66,axiom,(street(skc13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 0.19/0.38 tff(67,plain,
% 0.19/0.38 (street(skc13)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.38 tff(68,plain,
% 0.19/0.38 (event(skc14) <=> event(skc14)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(69,axiom,(event(skc14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 0.19/0.38 tff(70,plain,
% 0.19/0.38 (event(skc14)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.19/0.38 tff(71,plain,
% 0.19/0.38 (hollywood(skc15) <=> hollywood(skc15)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(72,axiom,(hollywood(skc15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 0.19/0.38 tff(73,plain,
% 0.19/0.38 (hollywood(skc15)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.38 tff(74,plain,
% 0.19/0.38 (((~![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))) | (ssSkC0 | (~hollywood(skc15)) | (~city(skc15)) | (~in(skc14, skc15)) | (~down(skc14, skc13)) | (~barrel(skc14, skc12)) | (~event(skc14)) | (~chevy(skc12)) | (~car(skc12)) | (~white(skc12)) | (~dirty(skc12)) | (~old(skc12)) | (~lonely(skc13)) | (~way(skc13)) | (~street(skc13)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))) | ssSkC0 | (~hollywood(skc15)) | (~city(skc15)) | (~in(skc14, skc15)) | (~down(skc14, skc13)) | (~barrel(skc14, skc12)) | (~event(skc14)) | (~chevy(skc12)) | (~car(skc12)) | (~white(skc12)) | (~dirty(skc12)) | (~old(skc12)) | (~lonely(skc13)) | (~way(skc13)) | (~street(skc13)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(75,plain,
% 0.19/0.38 ((~![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))) | (ssSkC0 | (~hollywood(skc15)) | (~city(skc15)) | (~in(skc14, skc15)) | (~down(skc14, skc13)) | (~barrel(skc14, skc12)) | (~event(skc14)) | (~chevy(skc12)) | (~car(skc12)) | (~white(skc12)) | (~dirty(skc12)) | (~old(skc12)) | (~lonely(skc13)) | (~way(skc13)) | (~street(skc13)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(76,plain,
% 0.19/0.38 ((~![W: $i, V: $i, U: $i, X: $i] : (ssSkC0 | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~down(W, U)) | (~barrel(W, V)) | (~event(W)) | (~chevy(V)) | (~car(V)) | (~white(V)) | (~dirty(V)) | (~old(V)) | (~lonely(U)) | (~way(U)) | (~street(U)))) | ssSkC0 | (~hollywood(skc15)) | (~city(skc15)) | (~in(skc14, skc15)) | (~down(skc14, skc13)) | (~barrel(skc14, skc12)) | (~event(skc14)) | (~chevy(skc12)) | (~car(skc12)) | (~white(skc12)) | (~dirty(skc12)) | (~old(skc12)) | (~lonely(skc13)) | (~way(skc13)) | (~street(skc13))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.19/0.38 tff(77,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[76, 73, 70, 67, 64, 21, 61, 57, 53, 49, 45, 41, 37, 33, 29, 25, 20])).
% 0.19/0.38 tff(78,plain,(ssSkC0), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(79,plain,
% 0.19/0.38 (((~ssSkC0) | in(skc10, skc11)) <=> ((~ssSkC0) | in(skc10, skc11))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(80,axiom,((~ssSkC0) | in(skc10, skc11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause28')).
% 0.19/0.38 tff(81,plain,
% 0.19/0.38 ((~ssSkC0) | in(skc10, skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.19/0.38 tff(82,plain,
% 0.19/0.38 (in(skc10, skc11)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[81, 78])).
% 0.19/0.38 tff(83,plain,
% 0.19/0.38 (((~ssSkC0) | down(skc10, skc8)) <=> ((~ssSkC0) | down(skc10, skc8))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(84,axiom,((~ssSkC0) | down(skc10, skc8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause27')).
% 0.19/0.38 tff(85,plain,
% 0.19/0.38 ((~ssSkC0) | down(skc10, skc8)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.19/0.38 tff(86,plain,
% 0.19/0.38 (down(skc10, skc8)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[85, 78])).
% 0.19/0.38 tff(87,plain,
% 0.19/0.38 (((~ssSkC0) | barrel(skc10, skc9)) <=> ((~ssSkC0) | barrel(skc10, skc9))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(88,axiom,((~ssSkC0) | barrel(skc10, skc9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause26')).
% 0.19/0.38 tff(89,plain,
% 0.19/0.38 ((~ssSkC0) | barrel(skc10, skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.19/0.38 tff(90,plain,
% 0.19/0.38 (barrel(skc10, skc9)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[89, 78])).
% 0.19/0.38 tff(91,plain,
% 0.19/0.38 (((~ssSkC0) | city(skc11)) <=> ((~ssSkC0) | city(skc11))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(92,axiom,((~ssSkC0) | city(skc11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause22')).
% 0.19/0.38 tff(93,plain,
% 0.19/0.38 ((~ssSkC0) | city(skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.19/0.38 tff(94,plain,
% 0.19/0.38 ((~ssSkC0) | city(skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[93, 91])).
% 0.19/0.38 tff(95,plain,
% 0.19/0.38 ((~ssSkC0) | city(skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[94, 91])).
% 0.19/0.38 tff(96,plain,
% 0.19/0.38 ((~ssSkC0) | city(skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.19/0.38 tff(97,plain,
% 0.19/0.38 ((~ssSkC0) | city(skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[96, 91])).
% 0.19/0.38 tff(98,plain,
% 0.19/0.38 (city(skc11)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[97, 78])).
% 0.19/0.38 tff(99,plain,
% 0.19/0.38 (((~ssSkC0) | car(skc9)) <=> ((~ssSkC0) | car(skc9))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(100,axiom,((~ssSkC0) | car(skc9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause21')).
% 0.19/0.38 tff(101,plain,
% 0.19/0.38 ((~ssSkC0) | car(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.19/0.38 tff(102,plain,
% 0.19/0.38 ((~ssSkC0) | car(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[101, 99])).
% 0.19/0.38 tff(103,plain,
% 0.19/0.38 ((~ssSkC0) | car(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[102, 99])).
% 0.19/0.38 tff(104,plain,
% 0.19/0.38 ((~ssSkC0) | car(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.19/0.38 tff(105,plain,
% 0.19/0.38 ((~ssSkC0) | car(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[104, 99])).
% 0.19/0.38 tff(106,plain,
% 0.19/0.38 (car(skc9)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[105, 78])).
% 0.19/0.38 tff(107,plain,
% 0.19/0.38 (((~ssSkC0) | white(skc9)) <=> ((~ssSkC0) | white(skc9))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(108,axiom,((~ssSkC0) | white(skc9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause20')).
% 0.19/0.38 tff(109,plain,
% 0.19/0.38 ((~ssSkC0) | white(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.19/0.38 tff(110,plain,
% 0.19/0.38 (white(skc9)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[109, 78])).
% 0.19/0.38 tff(111,plain,
% 0.19/0.38 (((~ssSkC0) | dirty(skc9)) <=> ((~ssSkC0) | dirty(skc9))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(112,axiom,((~ssSkC0) | dirty(skc9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause19')).
% 0.19/0.38 tff(113,plain,
% 0.19/0.38 ((~ssSkC0) | dirty(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.19/0.38 tff(114,plain,
% 0.19/0.38 ((~ssSkC0) | dirty(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[113, 111])).
% 0.19/0.38 tff(115,plain,
% 0.19/0.38 ((~ssSkC0) | dirty(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[114, 111])).
% 0.19/0.38 tff(116,plain,
% 0.19/0.38 ((~ssSkC0) | dirty(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[115, 111])).
% 0.19/0.38 tff(117,plain,
% 0.19/0.38 ((~ssSkC0) | dirty(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[116, 111])).
% 0.19/0.38 tff(118,plain,
% 0.19/0.38 (dirty(skc9)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[117, 78])).
% 0.19/0.38 tff(119,plain,
% 0.19/0.38 (((~ssSkC0) | old(skc9)) <=> ((~ssSkC0) | old(skc9))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(120,axiom,((~ssSkC0) | old(skc9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause18')).
% 0.19/0.38 tff(121,plain,
% 0.19/0.38 ((~ssSkC0) | old(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.19/0.38 tff(122,plain,
% 0.19/0.38 (old(skc9)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[121, 78])).
% 0.19/0.38 tff(123,plain,
% 0.19/0.38 (((~ssSkC0) | way(skc8)) <=> ((~ssSkC0) | way(skc8))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(124,axiom,((~ssSkC0) | way(skc8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause17')).
% 0.19/0.38 tff(125,plain,
% 0.19/0.38 ((~ssSkC0) | way(skc8)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.19/0.38 tff(126,plain,
% 0.19/0.38 (way(skc8)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[125, 78])).
% 0.19/0.38 tff(127,plain,
% 0.19/0.38 (((~ssSkC0) | street(skc8)) <=> ((~ssSkC0) | street(skc8))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(128,axiom,((~ssSkC0) | street(skc8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause16')).
% 0.19/0.38 tff(129,plain,
% 0.19/0.38 ((~ssSkC0) | street(skc8)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.19/0.38 tff(130,plain,
% 0.19/0.38 (street(skc8)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[129, 78])).
% 0.19/0.38 tff(131,plain,
% 0.19/0.38 (lonely(skc8) <=> lonely(skc8)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(132,axiom,(lonely(skc8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause8')).
% 0.19/0.38 tff(133,plain,
% 0.19/0.38 (lonely(skc8)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.38 tff(134,plain,
% 0.19/0.38 (chevy(skc9) <=> chevy(skc9)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(135,axiom,(chevy(skc9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 0.19/0.38 tff(136,plain,
% 0.19/0.38 (chevy(skc9)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.19/0.38 tff(137,plain,
% 0.19/0.38 (event(skc10) <=> event(skc10)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(138,axiom,(event(skc10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause6')).
% 0.19/0.38 tff(139,plain,
% 0.19/0.38 (event(skc10)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.19/0.38 tff(140,plain,
% 0.19/0.38 (hollywood(skc11) <=> hollywood(skc11)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(141,axiom,(hollywood(skc11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause5')).
% 0.19/0.38 tff(142,plain,
% 0.19/0.38 (hollywood(skc11)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.19/0.38 tff(143,plain,
% 0.19/0.38 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))) | ((~ssSkC0) | (~hollywood(skc11)) | (~city(skc11)) | (~in(skc10, skc11)) | (~event(skc10)) | (~down(skc10, skc8)) | (~barrel(skc10, skc9)) | (~street(skc8)) | (~way(skc8)) | (~lonely(skc8)) | (~old(skc9)) | (~dirty(skc9)) | (~white(skc9)) | (~car(skc9)) | (~chevy(skc9)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))) | (~ssSkC0) | (~hollywood(skc11)) | (~city(skc11)) | (~in(skc10, skc11)) | (~event(skc10)) | (~down(skc10, skc8)) | (~barrel(skc10, skc9)) | (~street(skc8)) | (~way(skc8)) | (~lonely(skc8)) | (~old(skc9)) | (~dirty(skc9)) | (~white(skc9)) | (~car(skc9)) | (~chevy(skc9)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(144,plain,
% 0.19/0.39 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))) | ((~ssSkC0) | (~hollywood(skc11)) | (~city(skc11)) | (~in(skc10, skc11)) | (~event(skc10)) | (~down(skc10, skc8)) | (~barrel(skc10, skc9)) | (~street(skc8)) | (~way(skc8)) | (~lonely(skc8)) | (~old(skc9)) | (~dirty(skc9)) | (~white(skc9)) | (~car(skc9)) | (~chevy(skc9)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(145,plain,
% 0.19/0.39 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssSkC0) | (~hollywood(X)) | (~city(X)) | (~in(W, X)) | (~event(W)) | (~down(W, V)) | (~barrel(W, U)) | (~street(V)) | (~way(V)) | (~lonely(V)) | (~old(U)) | (~dirty(U)) | (~white(U)) | (~car(U)) | (~chevy(U)))) | (~ssSkC0) | (~hollywood(skc11)) | (~city(skc11)) | (~in(skc10, skc11)) | (~event(skc10)) | (~down(skc10, skc8)) | (~barrel(skc10, skc9)) | (~street(skc8)) | (~way(skc8)) | (~lonely(skc8)) | (~old(skc9)) | (~dirty(skc9)) | (~white(skc9)) | (~car(skc9)) | (~chevy(skc9))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.39 tff(146,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[145, 142, 139, 136, 133, 78, 130, 126, 122, 118, 110, 106, 98, 90, 86, 82, 10])).
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39 % E exiting
%------------------------------------------------------------------------------