TSTP Solution File: CAT011-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 2.55s 1.21s
% Output   : CNFRefutation 2.55s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_54,plain,
    ( ~ there_exists(domain(X0))
    | there_exists(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).

cnf(c_57,plain,
    ( ~ there_exists(compose(X0,X1))
    | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).

cnf(c_60,plain,
    compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).

cnf(c_61,plain,
    compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).

cnf(c_217,plain,
    domain(a) = sP0_iProver_def,
    definition ).

cnf(c_218,plain,
    domain(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_219,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_217,c_218]) ).

cnf(c_352,plain,
    there_exists(sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_49,c_217]) ).

cnf(c_355,plain,
    ( ~ there_exists(sP0_iProver_def)
    | there_exists(a) ),
    inference(superposition,[status(thm)],[c_217,c_54]) ).

cnf(c_357,plain,
    there_exists(a),
    inference(forward_subsumption_resolution,[status(thm)],[c_355,c_352]) ).

cnf(c_362,plain,
    compose(a,sP0_iProver_def) = a,
    inference(superposition,[status(thm)],[c_217,c_60]) ).

cnf(c_382,plain,
    ( ~ there_exists(a)
    | domain(a) = codomain(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_362,c_57]) ).

cnf(c_383,plain,
    ( ~ there_exists(a)
    | codomain(sP0_iProver_def) = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_382,c_217]) ).

cnf(c_384,plain,
    codomain(sP0_iProver_def) = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_383,c_357]) ).

cnf(c_411,plain,
    compose(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_384,c_61]) ).

cnf(c_439,plain,
    ( ~ there_exists(sP0_iProver_def)
    | domain(sP0_iProver_def) = codomain(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_411,c_57]) ).

cnf(c_442,plain,
    ( ~ there_exists(sP0_iProver_def)
    | sP0_iProver_def = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_439,c_218,c_384]) ).

cnf(c_443,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_442,c_352]) ).

cnf(c_448,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_219,c_443]) ).

cnf(c_449,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_448]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : CAT011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:08:25 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 2.55/1.21  % SZS status Started for theBenchmark.p
% 2.55/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.55/1.21  
% 2.55/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.55/1.21  
% 2.55/1.21  ------  iProver source info
% 2.55/1.21  
% 2.55/1.21  git: date: 2024-05-02 19:28:25 +0000
% 2.55/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.55/1.21  git: non_committed_changes: false
% 2.55/1.21  
% 2.55/1.21  ------ Parsing...successful
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  ------ 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 
% 2.55/1.21  
% 2.55/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.55/1.21  
% 2.55/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.55/1.21  ------ Proving...
% 2.55/1.21  ------ Problem Properties 
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  clauses                                 12
% 2.55/1.21  conjectures                             1
% 2.55/1.21  EPR                                     1
% 2.55/1.21  Horn                                    12
% 2.55/1.21  unary                                   7
% 2.55/1.21  binary                                  4
% 2.55/1.21  lits                                    18
% 2.55/1.21  lits eq                                 8
% 2.55/1.21  fd_pure                                 0
% 2.55/1.21  fd_pseudo                               0
% 2.55/1.21  fd_cond                                 0
% 2.55/1.21  fd_pseudo_cond                          0
% 2.55/1.21  AC symbols                              0
% 2.55/1.21  
% 2.55/1.21  ------ Schedule dynamic 5 is on 
% 2.55/1.21  
% 2.55/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  ------ 
% 2.55/1.21  Current options:
% 2.55/1.21  ------ 
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  ------ Proving...
% 2.55/1.21  
% 2.55/1.21  
% 2.55/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 2.55/1.21  
% 2.55/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.55/1.21  
% 2.55/1.21  
%------------------------------------------------------------------------------