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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:40:49 AM UTC 2026

% Result   : Theorem 0.09s 0.28s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17  % Computer : n019.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 22:12:02 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28  Command-line arguments: --flatten --complete-subsets
% 0.09/0.28  
% 0.09/0.28  % SZS status Theorem
% 0.09/0.28  
% 0.09/0.28  % SZS output start Proof
% 0.09/0.28  Axiom 1 (just7): transitivebinarypredicate(c_genlmt) = true.
% 0.09/0.28  Axiom 2 (just6): genlmt(c_humansociallifemt, c_basekb) = true.
% 0.09/0.28  Axiom 3 (just9): genls(c_individual, c_trajector_underspecified) = true.
% 0.09/0.28  Axiom 4 (just2): genls(c_trajector_underspecified, c_location_underspecified) = true.
% 0.09/0.28  Axiom 5 (just1): individual(f_citynamedfn(s_agen, c_france)) = true.
% 0.09/0.28  Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.28  Axiom 7 (just57): ifeq(individual(X), true, isa(X, c_individual), true) = true.
% 0.09/0.28  
% 0.09/0.28  Lemma 8: genlmt(c_humansociallifemt, c_basekb) = transitivebinarypredicate(c_genlmt).
% 0.09/0.28  Proof:
% 0.09/0.28    genlmt(c_humansociallifemt, c_basekb)
% 0.09/0.28  = { by axiom 2 (just6) }
% 0.09/0.28    true
% 0.09/0.28  = { by axiom 1 (just7) R->L }
% 0.09/0.28    transitivebinarypredicate(c_genlmt)
% 0.09/0.28  
% 0.09/0.28  Lemma 9: genls(c_individual, c_trajector_underspecified) = genlmt(c_humansociallifemt, c_basekb).
% 0.09/0.28  Proof:
% 0.09/0.28    genls(c_individual, c_trajector_underspecified)
% 0.09/0.28  = { by axiom 3 (just9) }
% 0.09/0.28    true
% 0.09/0.28  = { by axiom 1 (just7) R->L }
% 0.09/0.28    transitivebinarypredicate(c_genlmt)
% 0.09/0.28  = { by lemma 8 R->L }
% 0.09/0.28    genlmt(c_humansociallifemt, c_basekb)
% 0.09/0.28  
% 0.09/0.28  Lemma 10: genls(c_trajector_underspecified, c_location_underspecified) = genls(c_individual, c_trajector_underspecified).
% 0.09/0.28  Proof:
% 0.09/0.28    genls(c_trajector_underspecified, c_location_underspecified)
% 0.09/0.28  = { by axiom 4 (just2) }
% 0.09/0.28    true
% 0.09/0.28  = { by axiom 1 (just7) R->L }
% 0.09/0.28    transitivebinarypredicate(c_genlmt)
% 0.09/0.28  = { by lemma 8 R->L }
% 0.09/0.28    genlmt(c_humansociallifemt, c_basekb)
% 0.09/0.28  = { by lemma 9 R->L }
% 0.09/0.28    genls(c_individual, c_trajector_underspecified)
% 0.09/0.28  
% 0.09/0.28  Lemma 11: individual(f_citynamedfn(s_agen, c_france)) = genls(c_trajector_underspecified, c_location_underspecified).
% 0.09/0.28  Proof:
% 0.09/0.28    individual(f_citynamedfn(s_agen, c_france))
% 0.09/0.28  = { by axiom 5 (just1) }
% 0.09/0.28    true
% 0.09/0.28  = { by axiom 1 (just7) R->L }
% 0.09/0.28    transitivebinarypredicate(c_genlmt)
% 0.09/0.28  = { by lemma 8 R->L }
% 0.09/0.28    genlmt(c_humansociallifemt, c_basekb)
% 0.09/0.28  = { by lemma 9 R->L }
% 0.09/0.28    genls(c_individual, c_trajector_underspecified)
% 0.09/0.28  = { by lemma 10 R->L }
% 0.09/0.28    genls(c_trajector_underspecified, c_location_underspecified)
% 0.09/0.28  
% 0.09/0.28  Goal 1 (query32_1): isa(f_citynamedfn(s_agen, c_france), X) = true.
% 0.09/0.28  The goal is true when:
% 0.09/0.28    X = c_individual
% 0.09/0.28  
% 0.09/0.28  Proof:
% 0.09/0.28    isa(f_citynamedfn(s_agen, c_france), c_individual)
% 0.09/0.28  = { by axiom 6 (ifeq_axiom) R->L }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), individual(f_citynamedfn(s_agen, c_france)), isa(f_citynamedfn(s_agen, c_france), c_individual), individual(f_citynamedfn(s_agen, c_france)))
% 0.09/0.28  = { by lemma 11 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), genls(c_trajector_underspecified, c_location_underspecified), isa(f_citynamedfn(s_agen, c_france), c_individual), individual(f_citynamedfn(s_agen, c_france)))
% 0.09/0.28  = { by lemma 11 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), genls(c_trajector_underspecified, c_location_underspecified), isa(f_citynamedfn(s_agen, c_france), c_individual), genls(c_trajector_underspecified, c_location_underspecified))
% 0.09/0.28  = { by lemma 10 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), genls(c_individual, c_trajector_underspecified), isa(f_citynamedfn(s_agen, c_france), c_individual), genls(c_trajector_underspecified, c_location_underspecified))
% 0.09/0.28  = { by lemma 10 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), genls(c_individual, c_trajector_underspecified), isa(f_citynamedfn(s_agen, c_france), c_individual), genls(c_individual, c_trajector_underspecified))
% 0.09/0.28  = { by lemma 9 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), genlmt(c_humansociallifemt, c_basekb), isa(f_citynamedfn(s_agen, c_france), c_individual), genls(c_individual, c_trajector_underspecified))
% 0.09/0.28  = { by lemma 9 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), genlmt(c_humansociallifemt, c_basekb), isa(f_citynamedfn(s_agen, c_france), c_individual), genlmt(c_humansociallifemt, c_basekb))
% 0.09/0.28  = { by lemma 8 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), transitivebinarypredicate(c_genlmt), isa(f_citynamedfn(s_agen, c_france), c_individual), genlmt(c_humansociallifemt, c_basekb))
% 0.09/0.28  = { by lemma 8 }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), transitivebinarypredicate(c_genlmt), isa(f_citynamedfn(s_agen, c_france), c_individual), transitivebinarypredicate(c_genlmt))
% 0.09/0.28  = { by axiom 1 (just7) }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), true, isa(f_citynamedfn(s_agen, c_france), c_individual), transitivebinarypredicate(c_genlmt))
% 0.09/0.28  = { by axiom 1 (just7) }
% 0.09/0.28    ifeq(individual(f_citynamedfn(s_agen, c_france)), true, isa(f_citynamedfn(s_agen, c_france), c_individual), true)
% 0.09/0.28  = { by axiom 7 (just57) }
% 0.09/0.28    true
% 0.09/0.28  = { by axiom 1 (just7) R->L }
% 0.09/0.28    transitivebinarypredicate(c_genlmt)
% 0.09/0.28  = { by lemma 8 R->L }
% 0.09/0.28    genlmt(c_humansociallifemt, c_basekb)
% 0.09/0.28  = { by lemma 9 R->L }
% 0.09/0.28    genls(c_individual, c_trajector_underspecified)
% 0.09/0.28  = { by lemma 10 R->L }
% 0.09/0.28    genls(c_trajector_underspecified, c_location_underspecified)
% 0.09/0.28  = { by lemma 11 R->L }
% 0.09/0.28    individual(f_citynamedfn(s_agen, c_france))
% 0.09/0.28  = { by lemma 11 }
% 0.09/0.28    genls(c_trajector_underspecified, c_location_underspecified)
% 0.09/0.28  = { by lemma 10 }
% 0.09/0.28    genls(c_individual, c_trajector_underspecified)
% 0.09/0.28  = { by lemma 9 }
% 0.09/0.28    genlmt(c_humansociallifemt, c_basekb)
% 0.09/0.28  = { by lemma 8 }
% 0.09/0.28    transitivebinarypredicate(c_genlmt)
% 0.09/0.28  = { by axiom 1 (just7) }
% 0.09/0.28    true
% 0.09/0.28  % SZS output end Proof
% 0.09/0.28  
% 0.09/0.28  RESULT: Theorem (the conjecture is true).
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