TSTP Solution File: CSR035+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : CSR035+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %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  : 600s
% DateTime : Fri Jul 15 02:50:23 EDT 2022

% Result   : Theorem 2.30s 1.26s
% Output   : Proof 3.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR035+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n016.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  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 02:31:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.54/0.61          ____       _                          
% 0.54/0.61    ___  / __ \_____(_)___  ________  __________
% 0.54/0.61   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.61  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.54/0.61  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.54/0.61  
% 0.54/0.61  A Theorem Prover for First-Order Logic
% 0.54/0.62  (ePrincess v.1.0)
% 0.54/0.62  
% 0.54/0.62  (c) Philipp Rümmer, 2009-2015
% 0.54/0.62  (c) Peter Backeman, 2014-2015
% 0.54/0.62  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.62  Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.62  Bug reports to peter@backeman.se
% 0.54/0.62  
% 0.54/0.62  For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.62  
% 0.54/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.68  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.55/1.01  Prover 0: Preprocessing ...
% 2.13/1.20  Prover 0: Constructing countermodel ...
% 2.30/1.26  Prover 0: proved (579ms)
% 2.30/1.26  
% 2.30/1.26  No countermodel exists, formula is valid
% 2.30/1.26  % SZS status Theorem for theBenchmark
% 2.30/1.26  
% 2.30/1.26  Generating proof ... found it (size 4)
% 3.17/1.46  
% 3.17/1.46  % SZS output start Proof for theBenchmark
% 3.17/1.46  Assumed formulas after preprocessing and simplification: 
% 3.17/1.46  | (0)  ? [v0] : (f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege) = v0 & prettystring(v0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) & mtvisible(c_basekb) & mtvisible(c_englishmt) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (f_instancewithrelationtofn(v5, v4, v3) = v2) |  ~ (f_instancewithrelationtofn(v5, v4, v3) = v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natargument(v4, n_3, v3)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natargument(v4, n_2, v2)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natargument(v4, n_1, v1)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natfunction(v4, c_instancewithrelationtofn)) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | thing(v4)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genls(v3, v2) |  ~ disjointwith(v1, v2) | disjointwith(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genls(v3, v1) |  ~ disjointwith(v1, v2) | disjointwith(v3, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genls(v2, v3) |  ~ isa(v1, v2) | isa(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genlpreds(v3, v1) |  ~ genlinverse(v1, v2) | genlinverse(v3, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genlpreds(v2, v3) |  ~ genlpreds(v1, v2) | genlpreds(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genlpreds(v2, v3) |  ~ genlinverse(v1, v2) | genlinverse(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ genlinverse(v2, v3) |  ~ genlinverse(v1, v2) | genlpreds(v1, v3)) &  ! [v1] :  ! [v2] :  ! [v3] : ( ~ disjointwith(v2, v3) |  ~ isa(v1, v3) |  ~ isa(v1, v2)) &  ! [v1] :  ! [v2] : ( ~ affiliatedwith(v1, v2) | agent_generic(v2)) &  ! [v1] :  ! [v2] : ( ~ affiliatedwith(v1, v2) | agent_generic(v1)) &  ! [v1] :  ! [v2] : ( ~ affiliatedwith(v1, v2) | affiliatedwith(v2, v1)) &  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v2)) &  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v1)) &  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) | binarypredicate(v2)) &  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) | binarypredicate(v1)) &  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) | collection(v2)) &  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) | collection(v1)) &  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) | disjointwith(v2, v1)) &  ! [v1] :  ! [v2] : ( ~ isa(v1, v2) | thing(v1)) &  ! [v1] :  ! [v2] : ( ~ isa(v1, v2) | collection(v2)) &  ! [v1] :  ! [v2] : ( ~ prettystring(v1, v2) | controlcharacterfreestring(v2)) &  ! [v1] :  ! [v2] : ( ~ prettystring(v1, v2) | thing(v1)) &  ! [v1] : ( ~ footballteam(v1) | isa(v1, c_footballteam)) &  ! [v1] :  ~ affiliatedwith(v1, v1) &  ! [v1] : ( ~ predicate(v1) | genlpreds(v1, v1)) &  ! [v1] : ( ~ isa(v1, c_footballteam) | footballteam(v1)) &  ! [v1] :  ~ prettystring(v0, v1))
% 3.26/1.51  | Instantiating (0) with all_0_0_0 yields:
% 3.26/1.51  | (1) f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege) = all_0_0_0 & prettystring(all_0_0_0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) & mtvisible(c_basekb) & mtvisible(c_englishmt) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) |  ~ (f_instancewithrelationtofn(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natfunction(v3, c_instancewithrelationtofn)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | thing(v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v1) |  ~ disjointwith(v0, v1) | disjointwith(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ disjointwith(v0, v1) | disjointwith(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ isa(v0, v1) | isa(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v2, v0) |  ~ genlinverse(v0, v1) | genlinverse(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlinverse(v0, v1) | genlinverse(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v1)) &  ! [v0] :  ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v0)) &  ! [v0] :  ! [v1] : ( ~ affiliatedwith(v0, v1) | affiliatedwith(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) &  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) &  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) &  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) &  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) &  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0)) &  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0)) &  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1)) &  ! [v0] :  ! [v1] : ( ~ prettystring(v0, v1) | controlcharacterfreestring(v1)) &  ! [v0] :  ! [v1] : ( ~ prettystring(v0, v1) | thing(v0)) &  ! [v0] : ( ~ footballteam(v0) | isa(v0, c_footballteam)) &  ! [v0] :  ~ affiliatedwith(v0, v0) &  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) &  ! [v0] : ( ~ isa(v0, c_footballteam) | footballteam(v0)) &  ! [v0] :  ~ prettystring(all_0_0_0, v0)
% 3.26/1.52  |
% 3.26/1.52  | Applying alpha-rule on (1) yields:
% 3.26/1.52  | (2)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 3.26/1.52  | (3)  ! [v0] : ( ~ isa(v0, c_footballteam) | footballteam(v0))
% 3.26/1.52  | (4)  ! [v0] : ( ~ footballteam(v0) | isa(v0, c_footballteam))
% 3.26/1.52  | (5) mtvisible(c_basekb)
% 3.26/1.52  | (6)  ! [v0] :  ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v0))
% 3.26/1.52  | (7)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 3.26/1.52  | (8)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ isa(v0, v1) | isa(v0, v2))
% 3.26/1.52  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v2, v0) |  ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 3.26/1.52  | (10)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 3.26/1.52  | (11)  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 3.26/1.52  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | thing(v3))
% 3.26/1.52  | (13)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 3.26/1.52  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 3.26/1.52  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_3, v2))
% 3.26/1.52  | (16)  ! [v0] :  ! [v1] : ( ~ affiliatedwith(v0, v1) | affiliatedwith(v1, v0))
% 3.26/1.52  | (17)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 3.26/1.52  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_2, v1))
% 3.26/1.52  | (19) mtvisible(c_englishmt)
% 3.26/1.52  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v1) |  ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 3.45/1.52  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) |  ~ (f_instancewithrelationtofn(v4, v3, v2) = v0))
% 3.45/1.52  | (22) prettystring(all_0_0_0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
% 3.45/1.52  | (23)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 3.45/1.52  | (24)  ! [v0] :  ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v1))
% 3.45/1.52  | (25)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 3.45/1.52  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 3.45/1.52  | (27)  ! [v0] :  ~ affiliatedwith(v0, v0)
% 3.45/1.52  | (28)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 3.45/1.52  | (29)  ! [v0] :  ! [v1] : ( ~ prettystring(v0, v1) | thing(v0))
% 3.45/1.52  | (30)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 3.45/1.52  | (31) f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege) = all_0_0_0
% 3.45/1.52  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natfunction(v3, c_instancewithrelationtofn))
% 3.45/1.52  | (33)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 3.45/1.53  | (34)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, v1))
% 3.45/1.53  | (35)  ! [v0] :  ~ prettystring(all_0_0_0, v0)
% 3.45/1.53  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_1, v0))
% 3.45/1.53  | (37)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 3.45/1.53  | (38)  ! [v0] :  ! [v1] : ( ~ prettystring(v0, v1) | controlcharacterfreestring(v1))
% 3.45/1.53  |
% 3.45/1.53  | Instantiating formula (35) with s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege and discharging atoms prettystring(all_0_0_0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege), yields:
% 3.45/1.53  | (39) $false
% 3.45/1.53  |
% 3.45/1.53  |-The branch is then unsatisfiable
% 3.45/1.53  % SZS output end Proof for theBenchmark
% 3.45/1.53  
% 3.45/1.53  896ms
%------------------------------------------------------------------------------