%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : CSR035+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n007.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 : Wed Aug 30 21:41:09 EDT 2023

% Result   : Theorem 0.16s 0.39s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : CSR035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.10  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.31  % Computer : n007.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Aug 28 10:45:58 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.39  Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.16/0.39  
% 0.16/0.39  % SZS status Theorem
% 0.16/0.39  
% 0.16/0.39  % SZS output start Proof
% 0.16/0.39  Take the following subset of the input axioms:
% 0.16/0.39    fof(just1, axiom, mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)).
% 0.16/0.39    fof(just2, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (isa(OBJ, COL2) & disjointwith(COL1, COL2)))).
% 0.16/0.39    fof(just29, axiom, ![X]: ~affiliatedwith(X, X)).
% 0.16/0.39    fof(query35, conjecture, ?[X2]: (mtvisible(c_englishmt) => prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X2))).
% 0.16/0.39  
% 0.16/0.39  Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.16/0.39  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.16/0.39  We repeatedly replace C & s=t => u=v by the two clauses:
% 0.16/0.39    fresh(y, y, x1...xn) = u
% 0.16/0.39    C => fresh(s, t, x1...xn) = v
% 0.16/0.39  where fresh is a fresh function symbol and x1..xn are the free
% 0.16/0.39  variables of u and v.
% 0.16/0.39  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.16/0.39  input problem has no model of domain size 1).
% 0.16/0.39  
% 0.16/0.39  The encoding turns the above axioms into the following unit equations and goals:
% 0.16/0.39  
% 0.16/0.39  Axiom 1 (query35): mtvisible(c_englishmt) = true2.
% 0.16/0.39  Axiom 2 (just1): fresh36(X, X) = true2.
% 0.16/0.39  Axiom 3 (just1): fresh36(mtvisible(c_englishmt), true2) = prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege).
% 0.16/0.39  
% 0.16/0.39  Goal 1 (query35_1): prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X) = true2.
% 0.16/0.39  The goal is true when:
% 0.16/0.39    X = s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege
% 0.16/0.39  
% 0.16/0.39  Proof:
% 0.16/0.39    prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
% 0.16/0.39  = { by axiom 3 (just1) R->L }
% 0.16/0.39    fresh36(mtvisible(c_englishmt), true2)
% 0.16/0.39  = { by axiom 1 (query35) }
% 0.16/0.39    fresh36(true2, true2)
% 0.16/0.39  = { by axiom 2 (just1) }
% 0.16/0.39    true2
% 0.16/0.39  % SZS output end Proof
% 0.16/0.39  
% 0.16/0.39  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------