TSTP Solution File: SYO894_8 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 15:46:13 EDT 2023
% Result : Theorem 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n005.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 13:09:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.33 Usage: tptp [options] [-file:]file
% 0.19/0.33 -h, -? prints this message.
% 0.19/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.33 -m, -model generate model.
% 0.19/0.33 -p, -proof generate proof.
% 0.19/0.33 -c, -core generate unsat core of named formulas.
% 0.19/0.33 -st, -statistics display statistics.
% 0.19/0.33 -t:timeout set timeout (in second).
% 0.19/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.33 -<param>:<value> configuration parameter and value.
% 0.19/0.33 -o:<output-file> file to place output in.
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % SZS output start Proof
% 0.19/0.36 tff(tptp_fun___ki_accessible__type, type, (
% 0.19/0.36 tptp_fun___ki_accessible_: ( '$ki_world' * '$ki_world' ) > $o)).
% 0.19/0.36 tff(tptp_fun___ki_local_world__type, type, (
% 0.19/0.36 tptp_fun___ki_local_world_: '$ki_world')).
% 0.19/0.36 tff(p_type, type, (
% 0.19/0.36 p: '$ki_world' > $o)).
% 0.19/0.36 tff(tptp_fun_W_1_type, type, (
% 0.19/0.36 tptp_fun_W_1: '$ki_world')).
% 0.19/0.36 tff(tptp_fun_W_0_type, type, (
% 0.19/0.36 tptp_fun_W_0: '$ki_world')).
% 0.19/0.36 tff(1,plain,
% 0.19/0.36 (^[W: '$ki_world'] : refl(((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(2,plain,
% 0.19/0.36 (![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)))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.36 tff(3,plain,
% 0.19/0.36 ((![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)))) <=> ![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(4,plain,
% 0.19/0.36 (^[W: '$ki_world'] : trans(monotonicity(rewrite((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)) <=> (~((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))))), ((~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))) <=> (~(~((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))))))), rewrite((~(~((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))))) <=> ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))), ((~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))) <=> ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(5,plain,
% 0.19/0.36 (![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))) <=> ![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.36 tff(6,plain,
% 0.19/0.36 ((![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))) <=> (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[5])).
% 0.19/0.36 tff(7,plain,
% 0.19/0.36 ((![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))) <=> ![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.36 inference(transitivity,[status(thm)],[6, 3])).
% 0.19/0.36 tff(8,plain,
% 0.19/0.36 ((((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1) & p(W!1))) & (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))) <=> (((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1) & p(W!1))) & (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(9,plain,
% 0.19/0.36 ((![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))) <=> (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(10,plain,
% 0.19/0.36 ((~(![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))) <=> (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(11,plain,
% 0.19/0.36 ((![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (p(W) => (~p(W)))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))) <=> (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(12,plain,
% 0.19/0.36 ((~(![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (p(W) => (~p(W)))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))) <=> (~(![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[11])).
% 0.19/0.36 tff(13,plain,
% 0.19/0.36 ((~(![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (p(W) => (~p(W)))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))) <=> (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))),
% 0.19/0.36 inference(transitivity,[status(thm)],[12, 10])).
% 0.19/0.36 tff(14,axiom,(~(![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => (p(W) => (~p(W)))) <=> (~?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','verify')).
% 0.19/0.36 tff(15,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.19/0.36 tff(16,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[15, 9])).
% 0.19/0.36 tff(17,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.19/0.36 tff(18,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[17, 9])).
% 0.19/0.36 tff(19,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[18, 9])).
% 0.19/0.36 tff(20,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.19/0.36 tff(21,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[20, 9])).
% 0.19/0.36 tff(22,plain,(
% 0.19/0.36 ((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1) & p(W!1))) & (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))),
% 0.19/0.36 inference(skolemize,[status(sab)],[21])).
% 0.19/0.36 tff(23,plain,
% 0.19/0.36 (((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1) & p(W!1))) & (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W))))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[22, 8])).
% 0.19/0.36 tff(24,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W))) | ![W: '$ki_world'] : (~(tptp_fun___ki_accessible_(|'$ki_local_world'|, W) & p(W)))),
% 0.19/0.36 inference(and_elim,[status(thm)],[23])).
% 0.19/0.36 tff(25,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[24, 7])).
% 0.19/0.36 tff(26,plain,
% 0.19/0.36 (![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[25, 2])).
% 0.19/0.36 tff(27,assumption,(~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))), introduced(assumption)).
% 0.19/0.36 tff(28,plain,
% 0.19/0.36 (((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0))) | tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(29,plain,
% 0.19/0.36 (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.19/0.36 tff(30,plain,
% 0.19/0.36 (((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0))) | p(W!0)),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(31,plain,
% 0.19/0.36 (p(W!0)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[30, 27])).
% 0.19/0.36 tff(32,plain,
% 0.19/0.36 (((~![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)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(33,plain,
% 0.19/0.36 ((~![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | ((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))),
% 0.19/0.36 inference(quant_inst,[status(thm)],[])).
% 0.19/0.36 tff(34,plain,
% 0.19/0.36 ((~![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.19/0.36 tff(35,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[34, 31, 29, 26])).
% 0.19/0.36 tff(36,plain,((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(37,plain,
% 0.19/0.36 (((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1) & p(W!1))) <=> ((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (~((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)) | (~p(W!1)))))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(38,plain,
% 0.19/0.36 ((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1) & p(W!1))),
% 0.19/0.36 inference(and_elim,[status(thm)],[23])).
% 0.19/0.36 tff(39,plain,
% 0.19/0.36 ((~((~p(W!0)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!0)))) | (~((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)) | (~p(W!1))))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.36 tff(40,plain,
% 0.19/0.36 (~((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)) | (~p(W!1)))),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[39, 36])).
% 0.19/0.36 tff(41,plain,
% 0.19/0.36 (((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)) | (~p(W!1))) | p(W!1)),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(42,plain,
% 0.19/0.36 (p(W!1)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.19/0.36 tff(43,plain,
% 0.19/0.36 (((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)) | (~p(W!1))) | tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(44,plain,
% 0.19/0.36 (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[43, 40])).
% 0.19/0.36 tff(45,plain,
% 0.19/0.36 (((~![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | ((~p(W!1)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)))) <=> ((~![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (~p(W!1)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(46,plain,
% 0.19/0.36 ((~![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | ((~p(W!1)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1)))),
% 0.19/0.36 inference(quant_inst,[status(thm)],[])).
% 0.19/0.36 tff(47,plain,
% 0.19/0.36 ((~![W: '$ki_world'] : ((~p(W)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)))) | (~p(W!1)) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!1))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.19/0.36 tff(48,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[47, 44, 42, 26])).
% 0.19/0.36 % SZS output end Proof
%------------------------------------------------------------------------------