TSTP Solution File: CAT010-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 1.13s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    there_exists(compose(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).

cnf(c_50,negated_conjecture,
    codomain(compose(a,b)) != codomain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).

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

cnf(c_56,plain,
    ( ~ there_exists(compose(X0,X1))
    | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).

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

cnf(c_59,plain,
    compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).

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

cnf(c_64,plain,
    ( ~ there_exists(domain(a))
    | there_exists(a) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_218,plain,
    compose(a,b) = sP0_iProver_def,
    definition ).

cnf(c_219,plain,
    codomain(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_220,plain,
    codomain(a) = sP2_iProver_def,
    definition ).

cnf(c_221,negated_conjecture,
    sP1_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_220,c_218,c_219]) ).

cnf(c_358,plain,
    there_exists(sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_49,c_218]) ).

cnf(c_383,plain,
    compose(sP2_iProver_def,a) = a,
    inference(superposition,[status(thm)],[c_220,c_61]) ).

cnf(c_391,plain,
    ( ~ there_exists(sP0_iProver_def)
    | there_exists(domain(a)) ),
    inference(superposition,[status(thm)],[c_218,c_56]) ).

cnf(c_397,plain,
    there_exists(domain(a)),
    inference(forward_subsumption_resolution,[status(thm)],[c_391,c_358]) ).

cnf(c_427,plain,
    ( ~ there_exists(a)
    | codomain(a) = domain(sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_383,c_57]) ).

cnf(c_429,plain,
    compose(sP2_iProver_def,compose(a,X0)) = compose(a,X0),
    inference(superposition,[status(thm)],[c_383,c_59]) ).

cnf(c_432,plain,
    ( ~ there_exists(a)
    | domain(sP2_iProver_def) = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_427,c_220]) ).

cnf(c_611,plain,
    domain(sP2_iProver_def) = sP2_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_432,c_64,c_397,c_432]) ).

cnf(c_787,plain,
    compose(sP2_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_218,c_429]) ).

cnf(c_805,plain,
    ( ~ there_exists(sP0_iProver_def)
    | codomain(sP0_iProver_def) = domain(sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_787,c_57]) ).

cnf(c_809,plain,
    ( ~ there_exists(sP0_iProver_def)
    | sP1_iProver_def = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_805,c_219,c_611]) ).

cnf(c_810,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_809,c_221,c_358]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CAT010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:45:36 EDT 2024
% 0.11/0.32  % 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
% 0.44/1.13  % SZS status Started for theBenchmark.p
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13  
% 0.44/1.13  ------  iProver source info
% 0.44/1.13  
% 0.44/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13  git: non_committed_changes: false
% 0.44/1.13  
% 0.44/1.13  ------ Parsing...successful
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ 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 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.13  ------ Proving...
% 0.44/1.13  ------ Problem Properties 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  clauses                                 13
% 0.44/1.13  conjectures                             1
% 0.44/1.13  EPR                                     1
% 0.44/1.13  Horn                                    13
% 0.44/1.13  unary                                   8
% 0.44/1.13  binary                                  4
% 0.44/1.13  lits                                    19
% 0.44/1.13  lits eq                                 9
% 0.44/1.13  fd_pure                                 0
% 0.44/1.13  fd_pseudo                               0
% 0.44/1.13  fd_cond                                 0
% 0.44/1.13  fd_pseudo_cond                          0
% 0.44/1.13  AC symbols                              0
% 0.44/1.13  
% 0.44/1.13  ------ Schedule dynamic 5 is on 
% 0.44/1.13  
% 0.44/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ 
% 0.44/1.13  Current options:
% 0.44/1.13  ------ 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Proving...
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13  
% 0.44/1.13  
%------------------------------------------------------------------------------