TSTP Solution File: REL003-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL003-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Mon Jun 24 13:55:42 EDT 2024

% Result   : Unsatisfiable 3.10s 1.21s
% Output   : CNFRefutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   25 (  11 unt;   7 nHn;  21 RR)
%            Number of literals    :   39 (  38 equ;  14 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( join(converse(sk1),converse(sk2)) = converse(sk2)
    | join(sk1,sk2) = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

cnf(c_50,negated_conjecture,
    ( join(converse(sk1),converse(sk2)) != converse(sk2)
    | join(sk1,sk2) != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).

cnf(c_51,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(c_52,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).

cnf(c_58,plain,
    converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(c_59,plain,
    join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(c_77,negated_conjecture,
    ( join(converse(sk2),converse(sk1)) = converse(sk2)
    | join(sk2,sk1) = sk2 ),
    inference(theory_normalisation,[status(thm)],[c_49,c_52,c_51]) ).

cnf(c_78,negated_conjecture,
    ( join(converse(sk2),converse(sk1)) != converse(sk2)
    | join(sk2,sk1) != sk2 ),
    inference(theory_normalisation,[status(thm)],[c_50,c_52,c_51]) ).

cnf(c_81,plain,
    ( join(sk2,sk1) != sk2
    | join(converse(sk2),converse(sk1)) != converse(sk2) ),
    inference(prop_impl_just,[status(thm)],[c_78]) ).

cnf(c_82,plain,
    ( join(converse(sk2),converse(sk1)) != converse(sk2)
    | join(sk2,sk1) != sk2 ),
    inference(renaming,[status(thm)],[c_81]) ).

cnf(c_83,plain,
    ( join(sk2,sk1) = sk2
    | join(converse(sk2),converse(sk1)) = converse(sk2) ),
    inference(prop_impl_just,[status(thm)],[c_77]) ).

cnf(c_84,plain,
    ( join(converse(sk2),converse(sk1)) = converse(sk2)
    | join(sk2,sk1) = sk2 ),
    inference(renaming,[status(thm)],[c_83]) ).

cnf(c_142,plain,
    ( converse(join(sk2,sk1)) = converse(sk2)
    | join(sk2,sk1) = sk2 ),
    inference(ac_demodulation,[status(thm)],[c_84,c_59,c_52,c_51]) ).

cnf(c_145,plain,
    ( converse(join(sk2,sk1)) != converse(sk2)
    | join(sk2,sk1) != sk2 ),
    inference(ac_demodulation,[status(thm)],[c_82,c_59,c_52,c_51]) ).

cnf(c_163,plain,
    ( X0 != X1
    | converse(X0) = converse(X1) ),
    theory(equality) ).

cnf(c_174,plain,
    ( join(sk2,sk1) = sk2
    | converse(join(sk2,sk1)) = converse(sk2) ),
    inference(prop_impl_just,[status(thm)],[c_142]) ).

cnf(c_175,plain,
    ( converse(join(sk2,sk1)) = converse(sk2)
    | join(sk2,sk1) = sk2 ),
    inference(renaming,[status(thm)],[c_174]) ).

cnf(c_176,plain,
    ( X0 != X1
    | converse(X0) = converse(X1) ),
    inference(prop_impl_just,[status(thm)],[c_163]) ).

cnf(c_248,plain,
    converse(join(sk2,sk1)) = converse(sk2),
    inference(backward_subsumption_resolution,[status(thm)],[c_175,c_176]) ).

cnf(c_899,plain,
    converse(join(sk2,sk1)) = converse(sk2),
    inference(global_subsumption_just,[status(thm)],[c_142,c_248]) ).

cnf(c_905,plain,
    join(sk2,sk1) = converse(converse(sk2)),
    inference(superposition,[status(thm)],[c_899,c_58]) ).

cnf(c_944,plain,
    join(sk2,sk1) = sk2,
    inference(demodulation,[status(thm)],[c_905,c_58]) ).

cnf(c_1227,plain,
    join(sk2,sk1) != sk2,
    inference(global_subsumption_just,[status(thm)],[c_145,c_145,c_248]) ).

cnf(c_1229,plain,
    sk2 != sk2,
    inference(demodulation,[status(thm)],[c_1227,c_944]) ).

cnf(c_1230,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1229]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : REL003-1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Jun 23 05:21:39 EDT 2024
% 0.13/0.34  % 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
% 3.10/1.21  % SZS status Started for theBenchmark.p
% 3.10/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.21  
% 3.10/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.10/1.21  
% 3.10/1.21  ------  iProver source info
% 3.10/1.21  
% 3.10/1.21  git: date: 2024-06-12 09:56:46 +0000
% 3.10/1.21  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.10/1.21  git: non_committed_changes: false
% 3.10/1.21  
% 3.10/1.21  ------ Parsing...successful
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  ------ Preprocessing... sup_sim: 3  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.10/1.21  
% 3.10/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.10/1.21  
% 3.10/1.21  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.10/1.21  ------ Proving...
% 3.10/1.21  ------ Problem Properties 
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  clauses                                 15
% 3.10/1.21  conjectures                             0
% 3.10/1.21  EPR                                     0
% 3.10/1.21  Horn                                    14
% 3.10/1.21  unary                                   13
% 3.10/1.21  binary                                  2
% 3.10/1.21  lits                                    17
% 3.10/1.21  lits eq                                 17
% 3.10/1.21  fd_pure                                 0
% 3.10/1.21  fd_pseudo                               0
% 3.10/1.21  fd_cond                                 0
% 3.10/1.21  fd_pseudo_cond                          0
% 3.10/1.21  AC symbols                              1
% 3.10/1.21  
% 3.10/1.21  ------ Schedule dynamic 5 is on 
% 3.10/1.21  
% 3.10/1.21  ------ no conjectures: strip conj schedule 
% 3.10/1.21  
% 3.10/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  ------ 
% 3.10/1.21  Current options:
% 3.10/1.21  ------ 
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  ------ Proving...
% 3.10/1.21  
% 3.10/1.21  
% 3.10/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.21  
% 3.10/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.21  
% 3.10/1.21  
%------------------------------------------------------------------------------