TSTP Solution File: SYO899_8 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO899_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 : Mon May 22 15:46:14 EDT 2023
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO899_8 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n002.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 : Mon May 22 13:27:52 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(tptp_fun___ki_accessible__type, type, (
% 0.19/0.38 tptp_fun___ki_accessible_: ( '$ki_world' * '$ki_world' ) > $o)).
% 0.19/0.38 tff(tptp_fun_W_0_type, type, (
% 0.19/0.38 tptp_fun_W_0: '$ki_world')).
% 0.19/0.38 tff(q_type, type, (
% 0.19/0.38 q: '$ki_world' > $o)).
% 0.19/0.38 tff(tptp_fun___ki_local_world__type, type, (
% 0.19/0.38 tptp_fun___ki_local_world_: '$ki_world')).
% 0.19/0.38 tff(p_type, type, (
% 0.19/0.38 p: '$ki_world' > $o)).
% 0.19/0.38 tff(1,plain,
% 0.19/0.38 (((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))) <=> ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0) & ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0))))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0) & ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[1])).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 (?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & ((~p(W)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W, W0))))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & ((~p(W)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 ((~(?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & (p(W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => q(W0)))) => (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => p(W)) => ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))))) <=> (~(?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W)) | (~![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & ((~p(W)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W, W0))))))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(5,axiom,(~(?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & (p(W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(W, W0) => q(W0)))) => (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => p(W)) => ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','verify')).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 (~(?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W)) | (~![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & ((~p(W)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W, W0)))))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.19/0.38 tff(7,plain,
% 0.19/0.38 (?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & ((~p(W)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.19/0.38 inference(or_elim,[status(thm)],[6])).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 (?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & ((~p(W)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W, W0)))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0) & ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[8, 2])).
% 0.19/0.38 tff(10,plain,
% 0.19/0.38 (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)),
% 0.19/0.38 inference(and_elim,[status(thm)],[9])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 (^[W: '$ki_world'] : refl(((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 (![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W))) <=> ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[11])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 (^[W: '$ki_world'] : trans(monotonicity(rewrite((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W)) <=> (~((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W))))), ((~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))) <=> (~(~((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W))))))), rewrite((~(~((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))), ((~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 (![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))) <=> ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[13])).
% 0.19/0.38 tff(15,plain,
% 0.19/0.38 ((~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(16,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(or_elim,[status(thm)],[6])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[17, 15])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.19/0.38 tff(21,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[20, 15])).
% 0.19/0.38 tff(22,plain,
% 0.19/0.38 (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[21, 15])).
% 0.19/0.38 tff(23,plain,
% 0.19/0.38 (^[W: '$ki_world'] : refl($oeq((~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W))), (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W)))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(24,plain,(
% 0.19/0.38 ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & q(W)))),
% 0.19/0.38 inference(nnf-neg,[status(sab)],[22, 23])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 (![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 (![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[25, 12])).
% 0.19/0.38 tff(27,plain,
% 0.19/0.38 (((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)) | (~q(W!0)))) <=> ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)) | (~q(W!0)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(28,plain,
% 0.19/0.38 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)) | (~q(W!0)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(29,plain,
% 0.19/0.38 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | (~q(W)))) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)) | (~q(W!0))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 (~q(W!0)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[29, 26, 10])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 (^[W: '$ki_world'] : refl((p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(32,plain,
% 0.19/0.38 (![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[31])).
% 0.19/0.38 tff(33,plain,
% 0.19/0.38 (![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 (![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.38 inference(or_elim,[status(thm)],[6])).
% 0.19/0.38 tff(35,plain,
% 0.19/0.38 (![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.19/0.38 tff(36,plain,(
% 0.19/0.38 ![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[35])).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 (((~![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (p(W!0) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) <=> ((~![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | p(W!0) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 ((~![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (p(W!0) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(40,plain,
% 0.19/0.38 ((~![W: '$ki_world'] : (p(W) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | p(W!0) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 (p(W!0)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[40, 37, 10])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 (((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))) <=> ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))),
% 0.19/0.38 inference(and_elim,[status(thm)],[9])).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 ((~p(W!0)) | ![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.19/0.38 tff(45,plain,
% 0.19/0.38 (![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[44, 41])).
% 0.19/0.38 tff(46,plain,
% 0.19/0.38 (((~![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))) | (q(W!0) | (~tptp_fun___ki_accessible_(W!0, W!0)))) <=> ((~![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))) | q(W!0) | (~tptp_fun___ki_accessible_(W!0, W!0)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(47,plain,
% 0.19/0.38 ((~![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))) | (q(W!0) | (~tptp_fun___ki_accessible_(W!0, W!0)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(48,plain,
% 0.19/0.38 ((~![W0: '$ki_world'] : (q(W0) | (~tptp_fun___ki_accessible_(W!0, W0)))) | q(W!0) | (~tptp_fun___ki_accessible_(W!0, W!0))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.38 tff(49,plain,
% 0.19/0.38 (~tptp_fun___ki_accessible_(W!0, W!0)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[48, 45, 30])).
% 0.19/0.38 tff(50,plain,
% 0.19/0.38 (^[W: '$ki_world'] : refl(tptp_fun___ki_accessible_(W, W) <=> tptp_fun___ki_accessible_(W, W))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(51,plain,
% 0.19/0.38 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W) <=> ![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.19/0.38 inference(quant_intro,[status(thm)],[50])).
% 0.19/0.38 tff(52,plain,
% 0.19/0.38 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W) <=> ![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(53,axiom,(![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_reflexive')).
% 0.19/0.38 tff(54,plain,
% 0.19/0.38 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.19/0.39 tff(55,plain,(
% 0.19/0.39 ![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.19/0.39 inference(skolemize,[status(sab)],[54])).
% 0.19/0.39 tff(56,plain,
% 0.19/0.39 (![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.19/0.39 tff(57,plain,
% 0.19/0.39 ((~![W: '$ki_world'] : tptp_fun___ki_accessible_(W, W)) | tptp_fun___ki_accessible_(W!0, W!0)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(58,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[57, 56, 49])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------