TSTP Solution File: CAT014-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT014-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:09:05 EDT 2024

% Result   : Unsatisfiable 2.68s 1.17s
% Output   : CNFRefutation 2.68s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    there_exists(codomain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).

cnf(c_50,negated_conjecture,
    codomain(codomain(a)) != codomain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).

cnf(c_55,plain,
    ( ~ there_exists(codomain(X0))
    | there_exists(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',codomain_has_elements) ).

cnf(c_57,plain,
    ( ~ there_exists(compose(X0,X1))
    | codomain(X1) = domain(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).

cnf(c_60,plain,
    compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_domain) ).

cnf(c_61,plain,
    compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).

cnf(c_318,plain,
    codomain(a) = sP0_iProver_def,
    definition ).

cnf(c_319,plain,
    codomain(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_320,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_318,c_319]) ).

cnf(c_493,plain,
    there_exists(sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_49,c_318]) ).

cnf(c_500,plain,
    ( ~ there_exists(sP0_iProver_def)
    | there_exists(a) ),
    inference(superposition,[status(thm)],[c_318,c_55]) ).

cnf(c_502,plain,
    there_exists(a),
    inference(forward_subsumption_resolution,[status(thm)],[c_500,c_493]) ).

cnf(c_503,plain,
    compose(sP0_iProver_def,a) = a,
    inference(superposition,[status(thm)],[c_318,c_61]) ).

cnf(c_544,plain,
    ( ~ there_exists(a)
    | codomain(a) = domain(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_503,c_57]) ).

cnf(c_550,plain,
    ( ~ there_exists(a)
    | domain(sP0_iProver_def) = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_544,c_318]) ).

cnf(c_551,plain,
    domain(sP0_iProver_def) = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_550,c_502]) ).

cnf(c_553,plain,
    compose(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_551,c_60]) ).

cnf(c_580,plain,
    ( ~ there_exists(sP0_iProver_def)
    | codomain(sP0_iProver_def) = domain(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_553,c_57]) ).

cnf(c_585,plain,
    ( ~ there_exists(sP0_iProver_def)
    | sP0_iProver_def = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_580,c_319,c_551]) ).

cnf(c_586,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_585,c_493]) ).

cnf(c_592,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_320,c_586]) ).

cnf(c_593,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_592]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT014-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n015.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 : Thu May  2 21:36:21 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 2.68/1.17  % SZS status Started for theBenchmark.p
% 2.68/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.68/1.17  
% 2.68/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.68/1.17  
% 2.68/1.17  ------  iProver source info
% 2.68/1.17  
% 2.68/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.68/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.68/1.17  git: non_committed_changes: false
% 2.68/1.17  
% 2.68/1.17  ------ Parsing...successful
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.68/1.17  
% 2.68/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.68/1.17  
% 2.68/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.68/1.17  ------ Proving...
% 2.68/1.17  ------ Problem Properties 
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  clauses                                 16
% 2.68/1.17  conjectures                             1
% 2.68/1.17  EPR                                     1
% 2.68/1.17  Horn                                    14
% 2.68/1.17  unary                                   7
% 2.68/1.17  binary                                  6
% 2.68/1.17  lits                                    28
% 2.68/1.17  lits eq                                 15
% 2.68/1.17  fd_pure                                 0
% 2.68/1.17  fd_pseudo                               0
% 2.68/1.17  fd_cond                                 0
% 2.68/1.17  fd_pseudo_cond                          2
% 2.68/1.17  AC symbols                              0
% 2.68/1.17  
% 2.68/1.17  ------ Schedule dynamic 5 is on 
% 2.68/1.17  
% 2.68/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  ------ 
% 2.68/1.17  Current options:
% 2.68/1.17  ------ 
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  ------ Proving...
% 2.68/1.17  
% 2.68/1.17  
% 2.68/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.68/1.17  
% 2.68/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/1.17  
% 2.68/1.17  
%------------------------------------------------------------------------------