%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR035+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:01:21 AM UTC 2025
% Result : Theorem 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR035+1 : TPTP v9.0.0. Released v3.4.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 12:32:24 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 tff(prettystring_type, type, (
% 0.12/0.39 prettystring: ( $i * $i ) > $o)).
% 0.12/0.39 tff(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege_type, type, (
% 0.12/0.39 s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege: $i)).
% 0.12/0.39 tff(f_instancewithrelationtofn_type, type, (
% 0.12/0.39 f_instancewithrelationtofn: ( $i * $i * $i ) > $i)).
% 0.12/0.39 tff(c_beloitcollege_type, type, (
% 0.12/0.39 c_beloitcollege: $i)).
% 0.12/0.39 tff(c_affiliatedwith_type, type, (
% 0.12/0.39 c_affiliatedwith: $i)).
% 0.12/0.39 tff(c_footballteam_type, type, (
% 0.12/0.39 c_footballteam: $i)).
% 0.12/0.39 tff(mtvisible_type, type, (
% 0.12/0.39 mtvisible: $i > $o)).
% 0.12/0.39 tff(c_englishmt_type, type, (
% 0.12/0.39 c_englishmt: $i)).
% 0.12/0.39 tff(elem_0_type, type, (
% 0.12/0.39 elem_0: $i)).
% 0.12/0.39 tff(1,plain,
% 0.12/0.39 (^[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))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(2,plain,
% 0.12/0.39 (![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)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.12/0.39 tff(3,plain,
% 0.12/0.39 ((~?[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)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(4,plain,
% 0.12/0.39 ((~?[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)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 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')).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.39 tff(7,plain,
% 0.12/0.39 (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.12/0.39 tff(8,plain,
% 0.12/0.39 (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.39 tff(9,plain,
% 0.12/0.39 (~?[X: $i] : ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.12/0.39 tff(10,plain,
% 0.12/0.39 (^[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)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(11,plain,(
% 0.12/0.39 ![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.12/0.39 inference(nnf-neg,[status(sab)],[9, 10])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 (![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[11, 2])).
% 0.12/0.39 tff(13,plain,
% 0.12/0.39 ((~![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)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), elem!0))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.12/0.39 tff(15,plain,
% 0.12/0.39 (((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), elem!0)) | mtvisible(c_englishmt)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(16,plain,
% 0.12/0.39 (mtvisible(c_englishmt)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 (((~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))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 ((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))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(19,axiom,(mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','just1')).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[20, 17])).
% 0.12/0.39 tff(22,plain,
% 0.12/0.39 (prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[21, 16])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 (((~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))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 ((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 ((~![X: $i] : (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X)))) | (~((~mtvisible(c_englishmt)) | prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[25, 12, 24])).
% 0.12/0.39 % SZS output end Proof
% 0.12/0.39 % E exiting
%------------------------------------------------------------------------------