TSTP Solution File: ITP413_1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 Sep 17 04:19:01 EDT 2022
% Result : Theorem 0.70s 0.75s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 07:43:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.70/0.75 % SZS status Theorem
% 0.70/0.75 % SZS output start Proof
% 0.70/0.75 tff(tptp_fun__fun_app_l__type, type, (
% 0.70/0.75 tptp_fun__fun_app_l_: ( 'A_run_set_a_run_set_fun$' * 'A_run_set$' ) > 'A_run_set$')).
% 0.70/0.75 tff(tptp_fun__heronConf_interpretation___type, type, (
% 0.70/0.75 tptp_fun__heronConf_interpretation__: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$' > 'A_run_set$')).
% 0.70/0.75 tff(tptp_fun__pair_a__type, type, (
% 0.70/0.75 tptp_fun__pair_a_: ( 'A_constr_list$' * 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$' ) > 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$')).
% 0.70/0.75 tff(tptp_fun__pair_c__type, type, (
% 0.70/0.75 tptp_fun__pair_c_: ( 'Nat$' * 'A_TESL_atomic_list_a_TESL_atomic_list_prod$' ) > 'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$')).
% 0.70/0.75 tff(tptp_fun__pair_b__type, type, (
% 0.70/0.75 tptp_fun__pair_b_: ( 'A_TESL_atomic_list$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list_a_TESL_atomic_list_prod$')).
% 0.70/0.75 tff(tptp_fun__cons_a__type, type, (
% 0.70/0.75 tptp_fun__cons_a_: ( 'A_TESL_atomic$' * 'A_TESL_atomic_list$' ) > 'A_TESL_atomic_list$')).
% 0.70/0.75 tff(tptp_fun__timeDelayedBy___type, type, (
% 0.70/0.75 tptp_fun__timeDelayedBy__: ( 'Clock$' * 'A_tag_const$' * 'Clock$' * 'Clock$' ) > 'A_TESL_atomic$')).
% 0.70/0.75 tff(tptp_fun__cons___type, type, (
% 0.70/0.75 tptp_fun__cons__: ( 'A_constr$' * 'A_constr_list$' ) > 'A_constr_list$')).
% 0.70/0.75 tff(tptp_fun__timeDelay___type, type, (
% 0.70/0.75 tptp_fun__timeDelay__: ( 'Clock$' * 'Nat$' * 'A_tag_const$' * 'Clock$' ) > 'A_constr$')).
% 0.70/0.75 tff(tptp_fun__ticks___type, type, (
% 0.70/0.75 tptp_fun__ticks__: ( 'Clock$' * 'Nat$' ) > 'A_constr$')).
% 0.70/0.75 tff(tptp_fun__fun_app_m__type, type, (
% 0.70/0.75 tptp_fun__fun_app_m_: ( 'A_run_set_a_run_set_a_run_set_fun_fun$' * 'A_run_set$' ) > 'A_run_set_a_run_set_fun$')).
% 0.70/0.75 tff(tptp_fun__notTicks___type, type, (
% 0.70/0.75 tptp_fun__notTicks__: ( 'Clock$' * 'Nat$' ) > 'A_constr$')).
% 0.70/0.75 tff(tptp_fun__sup___type, type, (
% 0.70/0.75 tptp_fun__sup__: 'A_run_set_a_run_set_a_run_set_fun_fun$')).
% 0.70/0.75 tff(tptp_fun__phi___type, type, (
% 0.70/0.75 tptp_fun__phi__: 'A_TESL_atomic_list$')).
% 0.70/0.75 tff(tptp_fun__k_3___type, type, (
% 0.70/0.75 tptp_fun__k_3__: 'Clock$')).
% 0.70/0.75 tff(tptp_fun__k_2___type, type, (
% 0.70/0.75 tptp_fun__k_2__: 'Clock$')).
% 0.70/0.75 tff(tptp_fun__delta_tau___type, type, (
% 0.70/0.75 tptp_fun__delta_tau__: 'A_tag_const$')).
% 0.70/0.75 tff(tptp_fun__k_1___type, type, (
% 0.70/0.75 tptp_fun__k_1__: 'Clock$')).
% 0.70/0.75 tff(tptp_fun__psi___type, type, (
% 0.70/0.75 tptp_fun__psi__: 'A_TESL_atomic_list$')).
% 0.70/0.75 tff(tptp_fun__n___type, type, (
% 0.70/0.75 tptp_fun__n__: 'Nat$')).
% 0.70/0.75 tff(tptp_fun__gamma___type, type, (
% 0.70/0.75 tptp_fun__gamma__: 'A_constr_list$')).
% 0.70/0.75 tff(1,plain,
% 0.70/0.75 (^[A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : refl((tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7))))))) <=> (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7))))))))),
% 0.70/0.75 inference(bind,[status(th)],[])).
% 0.70/0.75 tff(2,plain,
% 0.70/0.75 (![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7))))))) <=> ![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))),
% 0.70/0.75 inference(quant_intro,[status(thm)],[1])).
% 0.70/0.75 tff(3,plain,
% 0.70/0.75 (![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7))))))) <=> ![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))),
% 0.70/0.75 inference(rewrite,[status(thm)],[])).
% 0.70/0.75 tff(4,axiom,(![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom19')).
% 0.70/0.75 tff(5,plain,
% 0.70/0.75 (![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))),
% 0.70/0.75 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.70/0.75 tff(6,plain,(
% 0.70/0.75 ![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))),
% 0.70/0.75 inference(skolemize,[status(sab)],[5])).
% 0.70/0.75 tff(7,plain,
% 0.70/0.75 (![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))),
% 0.70/0.75 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.70/0.75 tff(8,plain,
% 0.70/0.75 ((~(tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(|'gamma$'|, tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'psi$'|), |'phi$'|)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(|'k_1$'|, |'n$'|), |'gamma$'|), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(|'k_1$'|, |'n$'|), tptp_fun__cons__(tptp_fun__timeDelay__(|'k_2$'|, |'n$'|, |'delta_tau$'|, |'k_3$'|), |'gamma$'|)), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))))) <=> (~(tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(|'gamma$'|, tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'psi$'|), |'phi$'|)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(|'k_1$'|, |'n$'|), |'gamma$'|), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(|'k_1$'|, |'n$'|), tptp_fun__cons__(tptp_fun__timeDelay__(|'k_2$'|, |'n$'|, |'delta_tau$'|, |'k_3$'|), |'gamma$'|)), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|))))))))),
% 0.70/0.75 inference(rewrite,[status(thm)],[])).
% 0.70/0.75 tff(9,axiom,(~(tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(|'gamma$'|, tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'psi$'|), |'phi$'|)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(|'k_1$'|, |'n$'|), |'gamma$'|), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(|'k_1$'|, |'n$'|), tptp_fun__cons__(tptp_fun__timeDelay__(|'k_2$'|, |'n$'|, |'delta_tau$'|, |'k_3$'|), |'gamma$'|)), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conjecture15')).
% 0.75/0.80 tff(10,plain,
% 0.75/0.80 (~(tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(|'gamma$'|, tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'psi$'|), |'phi$'|)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(|'k_1$'|, |'n$'|), |'gamma$'|), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(|'k_1$'|, |'n$'|), tptp_fun__cons__(tptp_fun__timeDelay__(|'k_2$'|, |'n$'|, |'delta_tau$'|, |'k_3$'|), |'gamma$'|)), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))))),
% 0.75/0.80 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.75/0.80 tff(11,plain,
% 0.75/0.80 ((~![A__questionmark_v0: 'A_constr_list$', A__questionmark_v1: 'Nat$', A__questionmark_v2: 'Clock$', A__questionmark_v3: 'A_tag_const$', A__questionmark_v4: 'Clock$', A__questionmark_v5: 'Clock$', A__questionmark_v6: 'A_TESL_atomic_list$', A__questionmark_v7: 'A_TESL_atomic_list$'] : (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(A__questionmark_v0, tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v6), A__questionmark_v7)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(A__questionmark_v2, A__questionmark_v1), A__questionmark_v0), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(A__questionmark_v2, A__questionmark_v1), tptp_fun__cons__(tptp_fun__timeDelay__(A__questionmark_v4, A__questionmark_v1, A__questionmark_v3, A__questionmark_v5), A__questionmark_v0)), tptp_fun__pair_c_(A__questionmark_v1, tptp_fun__pair_b_(A__questionmark_v6, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(A__questionmark_v2, A__questionmark_v3, A__questionmark_v4, A__questionmark_v5), A__questionmark_v7)))))))) | (tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(|'gamma$'|, tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'psi$'|), |'phi$'|)))) = tptp_fun__fun_app_l_(tptp_fun__fun_app_m_(|'sup$'|, tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__notTicks__(|'k_1$'|, |'n$'|), |'gamma$'|), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))), tptp_fun__heronConf_interpretation__(tptp_fun__pair_a_(tptp_fun__cons__(tptp_fun__ticks__(|'k_1$'|, |'n$'|), tptp_fun__cons__(tptp_fun__timeDelay__(|'k_2$'|, |'n$'|, |'delta_tau$'|, |'k_3$'|), |'gamma$'|)), tptp_fun__pair_c_(|'n$'|, tptp_fun__pair_b_(|'psi$'|, tptp_fun__cons_a_(tptp_fun__timeDelayedBy__(|'k_1$'|, |'delta_tau$'|, |'k_2$'|, |'k_3$'|), |'phi$'|)))))))),
% 0.75/0.80 inference(quant_inst,[status(thm)],[])).
% 0.75/0.80 tff(12,plain,
% 0.75/0.80 ($false),
% 0.75/0.80 inference(unit_resolution,[status(thm)],[11, 10, 7])).
% 0.75/0.80 % SZS output end Proof
%------------------------------------------------------------------------------