%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ149_13 : TPTP v9.0.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:23:31 AM UTC 2025
% Result : Theorem 0.18s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ149_13 : TPTP v9.0.0. Released v8.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.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 : Fri Jun 20 02:49:05 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.37 % SZS status Theorem
% 0.18/0.37 % SZS output start Proof
% 0.18/0.37 tff(tptp_fun___ki_accessible__type, type, (
% 0.18/0.37 tptp_fun___ki_accessible_: ( |'$ki_index'| * |'$ki_world'| * |'$ki_world'| ) > $o)).
% 0.18/0.37 tff(tptp_fun_W_2_type, type, (
% 0.18/0.37 tptp_fun_W_2: |'$ki_world'|)).
% 0.18/0.37 tff(tptp_fun___idx_pour_b___type, type, (
% 0.18/0.37 tptp_fun___idx_pour_b__: |'$ki_index'|)).
% 0.18/0.37 tff(acid_type, type, (
% 0.18/0.37 acid: |'$ki_world'| > $o)).
% 0.18/0.37 tff(tptp_fun___ki_local_world__type, type, (
% 0.18/0.37 tptp_fun___ki_local_world_: |'$ki_world'|)).
% 0.18/0.37 tff(tptp_fun___idx_pour_a___type, type, (
% 0.18/0.37 tptp_fun___idx_pour_a__: |'$ki_index'|)).
% 0.18/0.37 tff(tptp_fun_W0_3_type, type, (
% 0.18/0.37 tptp_fun_W0_3: |'$ki_world'|)).
% 0.18/0.37 tff(tptp_fun___idx_make_c___type, type, (
% 0.18/0.37 tptp_fun___idx_make_c__: |'$ki_index'|)).
% 0.18/0.37 tff(tptp_fun_W_8_type, type, (
% 0.18/0.37 tptp_fun_W_8: |'$ki_world'|)).
% 0.18/0.37 tff(1,plain,
% 0.18/0.37 (?[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))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 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')).
% 0.18/0.37 tff(3,plain,
% 0.18/0.37 (?[W: |'$ki_world'|] : (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W) & acid(W))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.18/0.37 tff(4,plain,(
% 0.18/0.37 tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8) & acid(W!8)),
% 0.18/0.37 inference(skolemize,[status(sab)],[3])).
% 0.18/0.37 tff(5,plain,
% 0.18/0.37 (acid(W!8)),
% 0.18/0.37 inference(and_elim,[status(thm)],[4])).
% 0.18/0.37 tff(6,plain,
% 0.18/0.37 (tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W!8)),
% 0.18/0.37 inference(and_elim,[status(thm)],[4])).
% 0.18/0.37 tff(7,assumption,(![W: |'$ki_world'|] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))), introduced(assumption)).
% 0.18/0.37 tff(8,plain,
% 0.18/0.37 (((~![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)))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(9,plain,
% 0.18/0.37 ((~![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)'|, |'$ki_local_world'|, W!8)))),
% 0.18/0.37 inference(quant_inst,[status(thm)],[])).
% 0.18/0.37 tff(10,plain,
% 0.18/0.37 ((~![W: |'$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))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.18/0.37 tff(11,plain,
% 0.18/0.37 ($false),
% 0.18/0.37 inference(unit_resolution,[status(thm)],[10, 7, 6, 5])).
% 0.18/0.37 tff(12,plain,(~![W: |'$ki_world'|] : ((~acid(W)) | (~tptp_fun___ki_accessible_(|'#idx(make_c)'|, |'$ki_local_world'|, W)))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.37 tff(13,plain,
% 0.18/0.37 (((~((~tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$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)'|, |'$ki_local_world'|, W))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(14,plain,
% 0.18/0.37 (((tptp_fun___ki_accessible_(|'#idx(pour_a)'|, |'$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)'|, |'$ki_local_world'|, W))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(15,plain,
% 0.18/0.37 (((~![W: |'$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)'|, |'$ki_local_world'|, W))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(16,plain,
% 0.18/0.37 ((![W: |'$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)'|, |'$ki_local_world'|, W))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(17,plain,
% 0.18/0.37 (^[W: |'$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))))),
% 0.18/0.37 inference(bind,[status(th)],[])).
% 0.18/0.37 tff(18,plain,
% 0.18/0.37 (![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)))),
% 0.18/0.37 inference(quant_intro,[status(thm)],[17])).
% 0.18/0.37 tff(19,plain,
% 0.18/0.37 (^[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))))))),
% 0.18/0.37 inference(bind,[status(th)],[])).
% 0.18/0.37 tff(20,plain,
% 0.18/0.37 (![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))))),
% 0.18/0.37 inference(quant_intro,[status(thm)],[19])).
% 0.18/0.37 tff(21,plain,
% 0.18/0.37 ((![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))))),
% 0.18/0.37 inference(monotonicity,[status(thm)],[20, 18])).
% 0.18/0.37 tff(22,plain,
% 0.18/0.37 ((![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))))),
% 0.18/0.37 inference(transitivity,[status(thm)],[21, 16])).
% 0.18/0.37 tff(23,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)'|, |'$ki_local_world'|, W) => (~acid(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pour_ab_make_axiom_2')).
% 0.18/0.37 tff(24,plain,
% 0.18/0.37 ((~![W: |'$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)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.18/0.37 tff(25,plain,
% 0.18/0.37 ((~![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)'|, |'$ki_local_world'|, W)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[24, 15])).
% 0.18/0.37 tff(26,plain,
% 0.18/0.37 ((~![W: |'$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)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[25, 15])).
% 0.18/0.37 tff(27,plain,
% 0.18/0.37 ((~![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)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[26, 15])).
% 0.18/0.37 Proof display could not be completed: monotonicity rule is not handled
% 0.18/0.37 % E exiting
%------------------------------------------------------------------------------