TSTP Solution File: CAT012-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 02:09:04 EDT 2024

% Result   : Unsatisfiable 2.77s 1.17s
% Output   : CNFRefutation 2.77s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    codomain(domain(a)) != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).

cnf(c_59,plain,
    identity_map(domain(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).

cnf(c_62,plain,
    defined(codomain(X0),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).

cnf(c_64,plain,
    product(codomain(X0),X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).

cnf(c_66,plain,
    ( ~ defined(X0,X1)
    | ~ identity_map(X1)
    | product(X0,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).

cnf(c_67,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X1,X3)
    | X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).

cnf(c_326,plain,
    domain(a) = sP0_iProver_def,
    definition ).

cnf(c_327,plain,
    codomain(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_328,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_326,c_327]) ).

cnf(c_617,plain,
    identity_map(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_326,c_59]) ).

cnf(c_618,plain,
    product(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_327,c_64]) ).

cnf(c_619,plain,
    defined(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_327,c_62]) ).

cnf(c_783,plain,
    ( ~ product(sP1_iProver_def,sP0_iProver_def,X0)
    | X0 = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_618,c_67]) ).

cnf(c_1967,plain,
    ( ~ defined(sP1_iProver_def,sP0_iProver_def)
    | ~ identity_map(sP0_iProver_def)
    | sP0_iProver_def = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_66,c_783]) ).

cnf(c_1970,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_1967,c_617,c_619]) ).

cnf(c_2005,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_328,c_1970]) ).

cnf(c_2006,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_2005]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CAT012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n018.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  : 300
% 0.12/0.33  % DateTime : Thu May  2 21:29:31 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  Running first-order theorem proving
% 0.19/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.77/1.17  % SZS status Started for theBenchmark.p
% 2.77/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.17  
% 2.77/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.77/1.17  
% 2.77/1.17  ------  iProver source info
% 2.77/1.17  
% 2.77/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.77/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.77/1.17  git: non_committed_changes: false
% 2.77/1.17  
% 2.77/1.17  ------ Parsing...successful
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.77/1.17  
% 2.77/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.77/1.17  
% 2.77/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.77/1.17  ------ Proving...
% 2.77/1.17  ------ Problem Properties 
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  clauses                                 21
% 2.77/1.17  conjectures                             1
% 2.77/1.17  EPR                                     12
% 2.77/1.17  Horn                                    21
% 2.77/1.17  unary                                   9
% 2.77/1.17  binary                                  2
% 2.77/1.17  lits                                    48
% 2.77/1.17  lits eq                                 4
% 2.77/1.17  fd_pure                                 0
% 2.77/1.17  fd_pseudo                               0
% 2.77/1.17  fd_cond                                 0
% 2.77/1.17  fd_pseudo_cond                          1
% 2.77/1.17  AC symbols                              0
% 2.77/1.17  
% 2.77/1.17  ------ Schedule dynamic 5 is on 
% 2.77/1.17  
% 2.77/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  ------ 
% 2.77/1.17  Current options:
% 2.77/1.17  ------ 
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  ------ Proving...
% 2.77/1.17  
% 2.77/1.17  
% 2.77/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.17  
% 2.77/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/1.17  
% 2.77/1.17  
%------------------------------------------------------------------------------