TSTP Solution File: PUZ025-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %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 : Fri May  3 02:54:37 EDT 2024

% Result   : Unsatisfiable 0.73s 1.21s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   4 unt;   8 nHn;  15 RR)
%            Number of literals    :   48 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_56,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(truthteller(X0))
    | ~ a_truth(X1)
    | answer(yes) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_identifies_truths) ).

cnf(c_57,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(truthteller(X0))
    | a_truth(X1)
    | answer(no) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_denies_lies) ).

cnf(c_58,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(liar(X0))
    | ~ a_truth(X1)
    | answer(no) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_denies_truths) ).

cnf(c_59,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(liar(X0))
    | a_truth(X1)
    | answer(yes) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_supports_lies) ).

cnf(c_65,plain,
    ask_1_if_2(c,equal_type(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).

cnf(c_66,negated_conjecture,
    ~ answer(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

cnf(c_67,plain,
    ( a_truth(liar(X0))
    | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).

cnf(c_90,plain,
    ( a_truth(truthteller(X0))
    | a_truth(liar(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

cnf(c_91,plain,
    ( a_truth(liar(X0))
    | a_truth(truthteller(X0)) ),
    inference(renaming,[status(thm)],[c_90]) ).

cnf(c_126,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(X1)
    | a_truth(truthteller(X0))
    | answer(no) ),
    inference(bin_hyper_res,[status(thm)],[c_58,c_91]) ).

cnf(c_127,plain,
    ( ~ ask_1_if_2(X0,X1)
    | a_truth(truthteller(X0))
    | a_truth(X1)
    | answer(yes) ),
    inference(bin_hyper_res,[status(thm)],[c_59,c_91]) ).

cnf(c_135,plain,
    ( ~ ask_1_if_2(X0,X1)
    | a_truth(truthteller(X0))
    | a_truth(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_127,c_66]) ).

cnf(c_136,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(truthteller(X0))
    | ~ a_truth(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_56,c_66]) ).

cnf(c_137,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(X1)
    | a_truth(truthteller(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_126,c_66]) ).

cnf(c_138,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(truthteller(X0))
    | a_truth(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_57,c_66]) ).

cnf(c_142,plain,
    ( ~ ask_1_if_2(X0,X1)
    | ~ a_truth(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_136,c_137,c_136]) ).

cnf(c_146,plain,
    ~ ask_1_if_2(X0,X1),
    inference(global_subsumption_just,[status(thm)],[c_135,c_138,c_142,c_135]) ).

cnf(c_159,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_65,c_146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:12:35 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.73/1.21  % SZS status Started for theBenchmark.p
% 0.73/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.73/1.21  
% 0.73/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.73/1.21  
% 0.73/1.21  ------  iProver source info
% 0.73/1.21  
% 0.73/1.21  git: date: 2024-05-02 19:28:25 +0000
% 0.73/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.73/1.21  git: non_committed_changes: false
% 0.73/1.21  
% 0.73/1.21  ------ Parsing...successful
% 0.73/1.21  
% 0.73/1.21  
% 0.73/1.21  
% 0.73/1.21  ------ Preprocessing...
% 0.73/1.21  
% 0.73/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.73/1.21  
% 0.73/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.21  
% 0.73/1.21  
%------------------------------------------------------------------------------