TSTP Solution File: CAT011-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 02:09:03 EDT 2024

% Result   : Unsatisfiable 0.44s 1.14s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_61,plain,
    defined(X0,domain(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).

cnf(c_63,plain,
    product(X0,domain(X0),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).

cnf(c_65,plain,
    ( ~ defined(X0,X1)
    | ~ identity_map(X0)
    | product(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).

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_325,plain,
    domain(a) = sP0_iProver_def,
    definition ).

cnf(c_326,plain,
    domain(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_327,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_49,c_325,c_326]) ).

cnf(c_606,plain,
    identity_map(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_325,c_59]) ).

cnf(c_607,plain,
    product(sP0_iProver_def,sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_326,c_63]) ).

cnf(c_608,plain,
    defined(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_326,c_61]) ).

cnf(c_757,plain,
    ( ~ product(sP0_iProver_def,sP1_iProver_def,X0)
    | X0 = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_607,c_67]) ).

cnf(c_1935,plain,
    ( ~ defined(sP0_iProver_def,sP1_iProver_def)
    | ~ identity_map(sP0_iProver_def)
    | sP0_iProver_def = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_65,c_757]) ).

cnf(c_1939,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_1935,c_606,c_608]) ).

cnf(c_1980,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_327,c_1939]) ).

cnf(c_1981,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1980]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CAT011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.10/0.33  % Computer : n020.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Thu May  2 21:13:31 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 0.44/1.14  % SZS status Started for theBenchmark.p
% 0.44/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.14  
% 0.44/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.14  
% 0.44/1.14  ------  iProver source info
% 0.44/1.14  
% 0.44/1.14  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.14  git: non_committed_changes: false
% 0.44/1.14  
% 0.44/1.14  ------ Parsing...successful
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.44/1.14  
% 0.44/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.14  
% 0.44/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.14  ------ Proving...
% 0.44/1.14  ------ Problem Properties 
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  clauses                                 21
% 0.44/1.14  conjectures                             1
% 0.44/1.14  EPR                                     12
% 0.44/1.14  Horn                                    21
% 0.44/1.14  unary                                   9
% 0.44/1.14  binary                                  2
% 0.44/1.14  lits                                    48
% 0.44/1.14  lits eq                                 4
% 0.44/1.14  fd_pure                                 0
% 0.44/1.14  fd_pseudo                               0
% 0.44/1.14  fd_cond                                 0
% 0.44/1.14  fd_pseudo_cond                          1
% 0.44/1.14  AC symbols                              0
% 0.44/1.14  
% 0.44/1.14  ------ Schedule dynamic 5 is on 
% 0.44/1.14  
% 0.44/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  ------ 
% 0.44/1.14  Current options:
% 0.44/1.14  ------ 
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  ------ Proving...
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.14  
% 0.44/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.14  
% 0.44/1.14  
%------------------------------------------------------------------------------