TSTP Solution File: ITP364_1 by Z3---4.8.9.0
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- 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 : 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 : Sat Sep 17 04:18:51 EDT 2022
% Result : Theorem 0.50s 0.62s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Sep 1 07:41:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.50/0.62 % SZS status Theorem
% 0.50/0.62 % SZS output start Proof
% 0.50/0.62 tff(tptp_fun__member___type, type, (
% 0.50/0.62 tptp_fun__member__: ( 'A_ltln$' * 'A_ltln_set$' ) > $o)).
% 0.50/0.62 tff(tptp_fun__g___type, type, (
% 0.50/0.62 tptp_fun__g__: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$')).
% 0.50/0.62 tff(tptp_fun__suffix___type, type, (
% 0.50/0.62 tptp_fun__suffix__: ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$')).
% 0.50/0.62 tff(tptp_fun__w___type, type, (
% 0.50/0.62 tptp_fun__w__: 'Nat_a_set_fun$')).
% 0.50/0.62 tff(tptp_fun__eps___type, type, (
% 0.50/0.62 tptp_fun__eps__: 'Nat_bool_fun$' > 'Nat$')).
% 0.50/0.62 tff(tptp_fun__uu___type, type, (
% 0.50/0.62 tptp_fun__uu__: 'Nat_bool_fun$')).
% 0.50/0.62 tff(tptp_fun__phi___type, type, (
% 0.50/0.62 tptp_fun__phi__: 'A_ltln$')).
% 0.50/0.62 tff(tptp_fun__weakUntil_ltln___type, type, (
% 0.50/0.62 tptp_fun__weakUntil_ltln__: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$')).
% 0.50/0.62 tff(tptp_fun__psi_2___type, type, (
% 0.50/0.62 tptp_fun__psi_2__: 'A_ltln$')).
% 0.50/0.62 tff(tptp_fun__psi_1___type, type, (
% 0.50/0.62 tptp_fun__psi_1__: 'A_ltln$')).
% 0.50/0.62 tff(tptp_fun__f_G___type, type, (
% 0.50/0.62 tptp_fun__f_G__: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$')).
% 0.50/0.62 tff(tptp_fun__fun_app_a__type, type, (
% 0.50/0.62 tptp_fun__fun_app_a_: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o)).
% 0.50/0.62 tff(tptp_fun__release_ltln___type, type, (
% 0.50/0.62 tptp_fun__release_ltln__: ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$')).
% 0.50/0.62 tff(tptp_fun__false_ltln___type, type, (
% 0.50/0.62 tptp_fun__false_ltln__: 'A_ltln$')).
% 0.50/0.62 tff(tptp_fun__semantics_ltln___type, type, (
% 0.50/0.62 tptp_fun__semantics_ltln__: 'Nat_a_set_fun$' > 'A_ltln_bool_fun$')).
% 0.50/0.62 tff(1,plain,
% 0.50/0.62 ((tptp_fun__f_G__(|'phi$'|, |'w$'|) = tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|))) <=> (tptp_fun__f_G__(|'phi$'|, |'w$'|) = tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))),
% 0.50/0.62 inference(rewrite,[status(thm)],[])).
% 0.50/0.62 tff(2,axiom,(tptp_fun__f_G__(|'phi$'|, |'w$'|) = tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom34')).
% 0.50/0.62 tff(3,plain,
% 0.50/0.62 (tptp_fun__f_G__(|'phi$'|, |'w$'|) = tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.50/0.62 tff(4,plain,
% 0.50/0.62 (tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)) = tptp_fun__f_G__(|'phi$'|, |'w$'|)),
% 0.50/0.62 inference(symmetry,[status(thm)],[3])).
% 0.50/0.62 tff(5,plain,
% 0.50/0.62 (tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|))) <=> tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__f_G__(|'phi$'|, |'w$'|))),
% 0.50/0.62 inference(monotonicity,[status(thm)],[4])).
% 0.50/0.62 tff(6,plain,
% 0.50/0.62 (tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__f_G__(|'phi$'|, |'w$'|)) <=> tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))),
% 0.50/0.62 inference(symmetry,[status(thm)],[5])).
% 0.50/0.62 tff(7,plain,
% 0.50/0.62 (tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__f_G__(|'phi$'|, |'w$'|)) <=> tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__f_G__(|'phi$'|, |'w$'|))),
% 0.50/0.62 inference(rewrite,[status(thm)],[])).
% 0.50/0.62 tff(8,axiom,(tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__f_G__(|'phi$'|, |'w$'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom32')).
% 0.50/0.62 tff(9,plain,
% 0.50/0.62 (tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__f_G__(|'phi$'|, |'w$'|))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.50/0.62 tff(10,plain,
% 0.50/0.62 (tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[9, 6])).
% 0.50/0.62 tff(11,plain,
% 0.50/0.62 (^[A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : refl(((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))) <=> ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))))),
% 0.50/0.62 inference(bind,[status(th)],[])).
% 0.50/0.62 tff(12,plain,
% 0.50/0.62 (![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))) <=> ![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(quant_intro,[status(thm)],[11])).
% 0.50/0.62 tff(13,plain,
% 0.50/0.62 (![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))) <=> ![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(rewrite,[status(thm)],[])).
% 0.50/0.62 tff(14,plain,
% 0.50/0.62 (^[A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : rewrite((tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2)) => tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))) <=> ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))))),
% 0.50/0.62 inference(bind,[status(th)],[])).
% 0.50/0.62 tff(15,plain,
% 0.50/0.62 (![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : (tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2)) => tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0))) <=> ![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(quant_intro,[status(thm)],[14])).
% 0.50/0.62 tff(16,axiom,(![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : (tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2)) => tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom39')).
% 0.50/0.62 tff(17,plain,
% 0.50/0.62 (![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.50/0.62 tff(18,plain,
% 0.50/0.62 (![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.50/0.62 tff(19,plain,(
% 0.50/0.62 ![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(skolemize,[status(sab)],[18])).
% 0.50/0.62 tff(20,plain,
% 0.50/0.62 (![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.50/0.62 tff(21,plain,
% 0.50/0.62 ((~tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|)))) <=> (~tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|))))),
% 0.50/0.62 inference(rewrite,[status(thm)],[])).
% 0.50/0.62 tff(22,axiom,(~tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conjecture30')).
% 0.50/0.62 tff(23,plain,
% 0.50/0.62 (~tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|)))),
% 0.50/0.62 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.50/0.62 tff(24,plain,
% 0.50/0.62 (((~![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))) | ((~tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|))))) <=> ((~![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))) | (~tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|))))),
% 0.50/0.62 inference(rewrite,[status(thm)],[])).
% 0.50/0.62 tff(25,plain,
% 0.50/0.62 ((~![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))) | ((~tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|))))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(26,plain,
% 0.54/0.65 ((~![A__questionmark_v0: 'A_ltln$', A__questionmark_v1: 'A_ltln$', A__questionmark_v2: 'Nat_a_set_fun$'] : ((~tptp_fun__member__(A__questionmark_v0, tptp_fun__g__(A__questionmark_v1, A__questionmark_v2))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(A__questionmark_v2), tptp_fun__release_ltln__(|'false_ltln$'|, A__questionmark_v0)))) | (~tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))) | tptp_fun__fun_app_a_(tptp_fun__semantics_ltln__(tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)), tptp_fun__release_ltln__(|'false_ltln$'|, tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|)))),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.54/0.65 tff(27,plain,
% 0.54/0.65 (~tptp_fun__member__(tptp_fun__weakUntil_ltln__(|'psi_1$'|, |'psi_2$'|), tptp_fun__g__(|'phi$'|, tptp_fun__suffix__(tptp_fun__eps__(|'uu$'|), |'w$'|)))),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[26, 23, 20])).
% 0.54/0.65 tff(28,plain,
% 0.54/0.65 ($false),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[27, 10])).
% 0.54/0.65 % SZS output end Proof
%------------------------------------------------------------------------------