TSTP Solution File: CSR035+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : CSR035+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 : Tue Sep 20 14:27:17 EDT 2022

% Result   : Theorem 0.13s 0.40s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : CSR035+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n016.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 : Tue Aug 30 17:28:16 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.
% 0.13/0.40  % SZS status Theorem
% 0.13/0.40  % SZS output start Proof
% 0.13/0.40  tff(prettystring_type, type, (
% 0.13/0.40     prettystring: ( $i * $i ) > $o)).
% 0.13/0.40  tff(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege_type, type, (
% 0.13/0.40     s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege: $i)).
% 0.13/0.40  tff(f_instancewithrelationtofn_type, type, (
% 0.13/0.40     f_instancewithrelationtofn: ( $i * $i * $i ) > $i)).
% 0.13/0.40  tff(c_beloitcollege_type, type, (
% 0.13/0.40     c_beloitcollege: $i)).
% 0.13/0.40  tff(c_affiliatedwith_type, type, (
% 0.13/0.40     c_affiliatedwith: $i)).
% 0.13/0.40  tff(c_footballteam_type, type, (
% 0.13/0.40     c_footballteam: $i)).
% 0.13/0.40  tff(mtvisible_type, type, (
% 0.13/0.40     mtvisible: $i > $o)).
% 0.13/0.40  tff(c_englishmt_type, type, (
% 0.13/0.40     c_englishmt: $i)).
% 0.13/0.40  tff(elem_0_type, type, (
% 0.13/0.40     elem_0: $i)).
% 0.13/0.40  tff(1,plain,
% 0.13/0.40      (^[X: $i] : refl((~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))) <=> (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(2,plain,
% 0.13/0.40      (![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))) <=> ![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[1])).
% 0.13/0.40  tff(3,plain,
% 0.13/0.40      ((~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))) <=> (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(4,plain,
% 0.13/0.40      ((~?[X: $i] : (mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))) <=> (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(5,axiom,(~?[X: $i] : (mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','query35')).
% 0.13/0.40  tff(6,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[5, 4])).
% 0.13/0.40  tff(7,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[6, 3])).
% 0.13/0.40  tff(8,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[7, 3])).
% 0.13/0.40  tff(9,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[8, 3])).
% 0.13/0.40  tff(10,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[9, 3])).
% 0.13/0.40  tff(11,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[10, 3])).
% 0.13/0.40  tff(12,plain,
% 0.13/0.40      (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[11, 3])).
% 0.13/0.40  tff(13,plain,
% 0.13/0.40      (^[X: $i] : refl($oeq((~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))), (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(14,plain,(
% 0.13/0.40      ![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.13/0.40      inference(nnf-neg,[status(sab)],[12, 13])).
% 0.13/0.40  tff(15,plain,
% 0.13/0.40      (![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[14, 2])).
% 0.13/0.40  tff(16,plain,
% 0.13/0.40      ((~![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))) | (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), elem!0)))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.40  tff(17,plain,
% 0.13/0.40      (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), elem!0))),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[16, 15])).
% 0.13/0.40  tff(18,plain,
% 0.13/0.40      (((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), elem!0)) | mtvisible(c_englishmt)),
% 0.13/0.40      inference(tautology,[status(thm)],[])).
% 0.13/0.40  tff(19,plain,
% 0.13/0.40      (mtvisible(c_englishmt)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[18, 17])).
% 0.13/0.40  tff(20,plain,
% 0.13/0.40      (((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)) <=> ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(21,plain,
% 0.13/0.40      ((mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)) <=> ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(22,axiom,(mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','just1')).
% 0.13/0.40  tff(23,plain,
% 0.13/0.40      ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.40  tff(24,plain,
% 0.13/0.40      ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[23, 20])).
% 0.13/0.40  tff(25,plain,
% 0.13/0.40      (prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[24, 19])).
% 0.13/0.40  tff(26,plain,
% 0.13/0.40      (((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)) | (~prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege))),
% 0.13/0.40      inference(tautology,[status(thm)],[])).
% 0.13/0.40  tff(27,plain,
% 0.13/0.40      ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[26, 25])).
% 0.13/0.40  tff(28,plain,
% 0.13/0.40      ((~![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))) | (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.41  tff(29,plain,
% 0.13/0.41      ($false),
% 0.13/0.41      inference(unit_resolution,[status(thm)],[28, 15, 27])).
% 0.13/0.41  % SZS output end Proof
%------------------------------------------------------------------------------