TSTP Solution File: CAT005-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:09:01 EDT 2024

% Result   : Unsatisfiable 3.41s 1.18s
% Output   : CNFRefutation 3.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_defined) ).

cnf(c_50,plain,
    identity_map(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_identity_map) ).

cnf(c_51,negated_conjecture,
    domain(a) != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).

cnf(c_54,plain,
    ( ~ product(X0,X1,X2)
    | ~ defined(X2,X3)
    | defined(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property2) ).

cnf(c_61,plain,
    identity_map(domain(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).

cnf(c_65,plain,
    product(X0,domain(X0),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).

cnf(c_67,plain,
    ( ~ defined(X0,X1)
    | ~ identity_map(X0)
    | product(X0,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).

cnf(c_68,plain,
    ( ~ defined(X0,X1)
    | ~ identity_map(X1)
    | product(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).

cnf(c_69,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X1,X3)
    | X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).

cnf(c_366,plain,
    domain(a) = sP0_iProver_def,
    definition ).

cnf(c_367,negated_conjecture,
    sP0_iProver_def != d,
    inference(demodulation,[status(thm)],[c_51,c_366]) ).

cnf(c_648,plain,
    product(a,sP0_iProver_def,a),
    inference(superposition,[status(thm)],[c_366,c_65]) ).

cnf(c_650,plain,
    identity_map(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_366,c_61]) ).

cnf(c_686,plain,
    ( ~ defined(a,X0)
    | defined(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_648,c_54]) ).

cnf(c_698,plain,
    ( ~ defined(a,d)
    | defined(sP0_iProver_def,d) ),
    inference(instantiation,[status(thm)],[c_686]) ).

cnf(c_861,plain,
    ( ~ product(X0,X1,d)
    | ~ product(X0,X1,sP0_iProver_def)
    | sP0_iProver_def = d ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_2207,plain,
    ( ~ defined(sP0_iProver_def,X0)
    | ~ identity_map(X0)
    | product(sP0_iProver_def,X0,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_2208,plain,
    ( ~ product(sP0_iProver_def,X0,d)
    | ~ product(sP0_iProver_def,X0,sP0_iProver_def)
    | sP0_iProver_def = d ),
    inference(instantiation,[status(thm)],[c_861]) ).

cnf(c_2209,plain,
    ( ~ defined(sP0_iProver_def,d)
    | ~ identity_map(d)
    | product(sP0_iProver_def,d,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2207]) ).

cnf(c_2210,plain,
    ( ~ product(sP0_iProver_def,d,d)
    | ~ product(sP0_iProver_def,d,sP0_iProver_def)
    | sP0_iProver_def = d ),
    inference(instantiation,[status(thm)],[c_2208]) ).

cnf(c_3048,plain,
    ( ~ defined(sP0_iProver_def,d)
    | ~ identity_map(sP0_iProver_def)
    | product(sP0_iProver_def,d,d) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_3049,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3048,c_2210,c_2209,c_698,c_650,c_367,c_49,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:15:13 EDT 2024
% 0.13/0.35  % 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
% 3.41/1.18  % SZS status Started for theBenchmark.p
% 3.41/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.41/1.18  
% 3.41/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.41/1.18  
% 3.41/1.18  ------  iProver source info
% 3.41/1.18  
% 3.41/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.41/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.41/1.18  git: non_committed_changes: false
% 3.41/1.18  
% 3.41/1.18  ------ Parsing...successful
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.41/1.18  
% 3.41/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.41/1.18  
% 3.41/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.41/1.18  ------ Proving...
% 3.41/1.18  ------ Problem Properties 
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  clauses                                 22
% 3.41/1.18  conjectures                             1
% 3.41/1.18  EPR                                     14
% 3.41/1.18  Horn                                    22
% 3.41/1.18  unary                                   10
% 3.41/1.18  binary                                  2
% 3.41/1.18  lits                                    49
% 3.41/1.18  lits eq                                 3
% 3.41/1.18  fd_pure                                 0
% 3.41/1.18  fd_pseudo                               0
% 3.41/1.18  fd_cond                                 0
% 3.41/1.18  fd_pseudo_cond                          1
% 3.41/1.18  AC symbols                              0
% 3.41/1.18  
% 3.41/1.18  ------ Schedule dynamic 5 is on 
% 3.41/1.18  
% 3.41/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  ------ 
% 3.41/1.18  Current options:
% 3.41/1.18  ------ 
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  ------ Proving...
% 3.41/1.18  
% 3.41/1.18  
% 3.41/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.41/1.18  
% 3.41/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.41/1.18  
% 3.41/1.18  
%------------------------------------------------------------------------------