TSTP Solution File: PUZ149_13 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 15:42:06 EDT 2023
% Result : Theorem 0.15s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.06/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 22 12:31:31 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.31 Usage: tptp [options] [-file:]file
% 0.10/0.31 -h, -? prints this message.
% 0.10/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.10/0.31 -m, -model generate model.
% 0.10/0.31 -p, -proof generate proof.
% 0.10/0.31 -c, -core generate unsat core of named formulas.
% 0.10/0.31 -st, -statistics display statistics.
% 0.10/0.31 -t:timeout set timeout (in second).
% 0.10/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.10/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.31 -<param>:<value> configuration parameter and value.
% 0.10/0.31 -o:<output-file> file to place output in.
% 0.15/0.36 % SZS status Theorem
% 0.15/0.36 % SZS output start Proof
% 0.15/0.36 tff(tptp_fun___ki_accessible__type, type, (
% 0.15/0.36 tptp_fun___ki_accessible_: ( '$ki_index' * '$ki_world' * '$ki_world' ) > $o)).
% 0.15/0.36 tff(tptp_fun_W_2_type, type, (
% 0.15/0.36 tptp_fun_W_2: '$ki_world')).
% 0.15/0.36 tff(tptp_fun___idx_pour_b___type, type, (
% 0.15/0.36 tptp_fun___idx_pour_b__: '$ki_index')).
% 0.15/0.36 tff(acid_type, type, (
% 0.15/0.36 acid: '$ki_world' > $o)).
% 0.15/0.36 tff(tptp_fun___ki_local_world__type, type, (
% 0.15/0.36 tptp_fun___ki_local_world_: '$ki_world')).
% 0.15/0.36 tff(tptp_fun___idx_pour_a___type, type, (
% 0.15/0.36 tptp_fun___idx_pour_a__: '$ki_index')).
% 0.15/0.36 tff(tptp_fun_W0_3_type, type, (
% 0.15/0.36 tptp_fun_W0_3: '$ki_world')).
% 0.15/0.36 tff(tptp_fun___idx_make_c___type, type, (
% 0.15/0.36 tptp_fun___idx_make_c__: '$ki_index')).
% 0.15/0.36 tff(tptp_fun_W_8_type, type, (
% 0.15/0.36 tptp_fun_W_8: '$ki_world')).
% 0.15/0.36 tff(1,plain,
% 0.15/0.36 (?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) & acid(W)) <=> ?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) & acid(W))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(2,axiom,(?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) & acid(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','make_c_acid')).
% 0.15/0.36 tff(3,plain,
% 0.15/0.36 (?[W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) & acid(W))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.15/0.36 tff(4,plain,(
% 0.15/0.36 tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8) & acid(W!8)),
% 0.15/0.36 inference(skolemize,[status(sab)],[3])).
% 0.15/0.36 tff(5,plain,
% 0.15/0.36 (acid(W!8)),
% 0.15/0.36 inference(and_elim,[status(thm)],[4])).
% 0.15/0.36 tff(6,plain,
% 0.15/0.36 (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8)),
% 0.15/0.36 inference(and_elim,[status(thm)],[4])).
% 0.15/0.36 tff(7,assumption,(![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))), introduced(assumption)).
% 0.15/0.36 tff(8,plain,
% 0.15/0.36 (((~![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) | ((~acid(W!8)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8)))) <=> ((~![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) | (~acid(W!8)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8)))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(9,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) | ((~acid(W!8)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8)))),
% 0.15/0.36 inference(quant_inst,[status(thm)],[])).
% 0.15/0.36 tff(10,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) | (~acid(W!8)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.15/0.36 tff(11,plain,
% 0.15/0.36 ($false),
% 0.15/0.36 inference(unit_resolution,[status(thm)],[10, 7, 6, 5])).
% 0.15/0.36 tff(12,plain,(~![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))), inference(lemma,lemma(discharge,[]))).
% 0.15/0.36 tff(13,plain,
% 0.15/0.36 (((~((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W!2)) | (~acid(W0!3)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W!2, W0!3)))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) <=> ((~((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W!2)) | (~acid(W0!3)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W!2, W0!3)))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(14,plain,
% 0.15/0.36 (((tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W!2) & (~((~acid(W0!3)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W!2, W0!3))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) <=> ((~((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W!2)) | (~acid(W0!3)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W!2, W0!3)))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(15,plain,
% 0.15/0.36 ((((~(~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W!2))) & (~((~acid(W0!3)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W!2, W0!3))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) <=> ((tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W!2) & (~((~acid(W0!3)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W!2, W0!3))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(16,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) <=> (~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0)))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(17,plain,
% 0.15/0.36 (((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) <=> ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(monotonicity,[status(thm)],[16])).
% 0.15/0.36 tff(18,plain,
% 0.15/0.36 (((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) <=> ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(19,plain,
% 0.15/0.36 ((![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0)))) => ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))) <=> ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(rewrite,[status(thm)],[])).
% 0.15/0.36 tff(20,plain,
% 0.15/0.36 (^[W: '$ki_world'] : rewrite((tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) => (~acid(W))) <=> ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(21,plain,
% 0.15/0.36 (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) => (~acid(W))) <=> ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[20])).
% 0.15/0.36 tff(22,plain,
% 0.15/0.36 (^[W: '$ki_world'] : trans(monotonicity(quant_intro(proof_bind(^[W0: '$ki_world'] : rewrite((tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0))) <=> ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))), (![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0))) <=> ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))), ((tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0)))) <=> (tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0)))))), rewrite((tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0)))) <=> ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))), ((tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0)))) <=> ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))))),
% 0.15/0.36 inference(bind,[status(th)],[])).
% 0.15/0.36 tff(23,plain,
% 0.15/0.36 (![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0)))) <=> ![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))),
% 0.15/0.36 inference(quant_intro,[status(thm)],[22])).
% 0.15/0.36 tff(24,plain,
% 0.15/0.36 ((![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0)))) => ![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) => (~acid(W)))) <=> (![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0)))) => ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(monotonicity,[status(thm)],[23, 21])).
% 0.15/0.36 tff(25,plain,
% 0.15/0.36 ((![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0)))) => ![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) => (~acid(W)))) <=> ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W))))),
% 0.15/0.36 inference(transitivity,[status(thm)],[24, 19])).
% 0.15/0.36 tff(26,axiom,(![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W) => ![W0: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0) => (~acid(W0)))) => ![W: '$ki_world'] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) => (~acid(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pour_ab_make_axiom_2')).
% 0.15/0.36 tff(27,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.15/0.36 tff(28,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[27, 18])).
% 0.15/0.36 tff(29,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.15/0.36 tff(30,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[29, 18])).
% 0.15/0.36 tff(31,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[30, 18])).
% 0.15/0.36 tff(32,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[31, 18])).
% 0.15/0.36 tff(33,plain,
% 0.15/0.36 ((~![W: '$ki_world'] : ((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$ki_local_world'|, W)) | ![W0: '$ki_world'] : ((~acid(W0)) | (~tptp_fun___ki_accessible_(|'#idx(pour_b)'|, W, W0))))) | ![W: '$ki_world'] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))),
% 0.15/0.36 inference(modus_ponens,[status(thm)],[32, 17])).
% 0.15/0.36 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------