TSTP Solution File: CAT018-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT018-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 : Mon Jun 24 04:41:41 EDT 2024

% Result   : Unsatisfiable 0.45s 1.14s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

cnf(c_50,plain,
    defined(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_bc_exists) ).

cnf(c_51,negated_conjecture,
    ~ defined(a,compose(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_bc_exists) ).

cnf(c_52,plain,
    ( ~ defined(X0,X1)
    | product(X0,X1,compose(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).

cnf(c_53,plain,
    ( ~ product(X0,X1,X2)
    | defined(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).

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

cnf(c_55,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ defined(X2,X3)
    | defined(X0,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom1) ).

cnf(c_57,plain,
    ( ~ product(X0,X1,X2)
    | ~ defined(X3,X2)
    | defined(X3,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).

cnf(c_60,plain,
    ( ~ defined(X0,X1)
    | ~ defined(X1,X2)
    | ~ identity_map(X1)
    | defined(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).

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

cnf(c_62,plain,
    identity_map(codomain(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).

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

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

cnf(c_66,plain,
    product(codomain(X0),X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).

cnf(c_74,plain,
    product(codomain(b),b,b),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_331,plain,
    compose(b,c) = sP0_iProver_def,
    definition ).

cnf(c_332,negated_conjecture,
    ~ defined(a,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_331]) ).

cnf(c_625,plain,
    ( ~ defined(b,c)
    | product(b,c,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_331,c_52]) ).

cnf(c_627,plain,
    product(b,c,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_625,c_50]) ).

cnf(c_650,plain,
    ( ~ defined(X0,X1)
    | defined(domain(X0),X1) ),
    inference(superposition,[status(thm)],[c_65,c_54]) ).

cnf(c_685,plain,
    ( ~ defined(X0,X1)
    | defined(X0,codomain(X1)) ),
    inference(superposition,[status(thm)],[c_66,c_57]) ).

cnf(c_688,plain,
    ( ~ defined(X0,sP0_iProver_def)
    | defined(X0,b) ),
    inference(superposition,[status(thm)],[c_627,c_57]) ).

cnf(c_707,plain,
    ( ~ defined(X0,sP0_iProver_def)
    | defined(domain(X0),b) ),
    inference(superposition,[status(thm)],[c_650,c_688]) ).

cnf(c_751,plain,
    ( ~ defined(b,X0)
    | ~ identity_map(b)
    | defined(a,X0) ),
    inference(superposition,[status(thm)],[c_49,c_60]) ).

cnf(c_753,plain,
    ( ~ defined(domain(X0),X1)
    | ~ identity_map(domain(X0))
    | defined(X0,X1) ),
    inference(superposition,[status(thm)],[c_63,c_60]) ).

cnf(c_776,plain,
    ( ~ defined(domain(X0),X1)
    | defined(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_753,c_61]) ).

cnf(c_846,plain,
    ( ~ product(X0,X1,X2)
    | ~ defined(X0,X1)
    | defined(codomain(X0),X2) ),
    inference(superposition,[status(thm)],[c_66,c_55]) ).

cnf(c_919,plain,
    ( ~ product(X0,X1,b)
    | ~ defined(a,b)
    | defined(a,X0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_961,plain,
    ( ~ defined(domain(X0),X1)
    | defined(X0,codomain(X1)) ),
    inference(superposition,[status(thm)],[c_685,c_776]) ).

cnf(c_1351,plain,
    ( ~ defined(X0,sP0_iProver_def)
    | defined(X0,codomain(b)) ),
    inference(superposition,[status(thm)],[c_707,c_961]) ).

cnf(c_1648,plain,
    ( ~ defined(b,sP0_iProver_def)
    | ~ identity_map(b)
    | defined(a,codomain(b)) ),
    inference(superposition,[status(thm)],[c_1351,c_751]) ).

cnf(c_2072,plain,
    ( ~ product(codomain(X0),X1,b)
    | ~ defined(a,b)
    | defined(a,codomain(X0)) ),
    inference(instantiation,[status(thm)],[c_919]) ).

cnf(c_2074,plain,
    ( ~ product(codomain(b),b,b)
    | ~ defined(a,b)
    | defined(a,codomain(b)) ),
    inference(instantiation,[status(thm)],[c_2072]) ).

cnf(c_3510,plain,
    defined(a,codomain(b)),
    inference(global_subsumption_just,[status(thm)],[c_1648,c_49,c_74,c_2074]) ).

cnf(c_3512,plain,
    ( ~ defined(codomain(b),X0)
    | ~ identity_map(codomain(b))
    | defined(a,X0) ),
    inference(superposition,[status(thm)],[c_3510,c_60]) ).

cnf(c_3513,plain,
    ( ~ defined(codomain(b),X0)
    | defined(a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3512,c_62]) ).

cnf(c_4404,plain,
    ( ~ product(X0,X1,X2)
    | defined(codomain(X0),X2) ),
    inference(global_subsumption_just,[status(thm)],[c_846,c_53,c_846]) ).

cnf(c_4415,plain,
    defined(codomain(b),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_627,c_4404]) ).

cnf(c_4433,plain,
    defined(a,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_4415,c_3513]) ).

cnf(c_4434,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4433,c_332]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CAT018-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n011.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.16/0.32  % WCLimit  : 300
% 0.16/0.32  % DateTime : Tue Jun 18 12:05:54 EDT 2024
% 0.16/0.32  % 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
% 0.45/1.14  % SZS status Started for theBenchmark.p
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.14  
% 0.45/1.14  ------  iProver source info
% 0.45/1.14  
% 0.45/1.14  git: date: 2024-06-12 09:56:46 +0000
% 0.45/1.14  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.45/1.14  git: non_committed_changes: false
% 0.45/1.14  
% 0.45/1.14  ------ Parsing...successful
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.45/1.14  ------ Proving...
% 0.45/1.14  ------ Problem Properties 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  clauses                                 22
% 0.45/1.14  conjectures                             1
% 0.45/1.14  EPR                                     14
% 0.45/1.14  Horn                                    22
% 0.45/1.14  unary                                   10
% 0.45/1.14  binary                                  2
% 0.45/1.14  lits                                    49
% 0.45/1.14  lits eq                                 2
% 0.45/1.14  fd_pure                                 0
% 0.45/1.14  fd_pseudo                               0
% 0.45/1.14  fd_cond                                 0
% 0.45/1.14  fd_pseudo_cond                          1
% 0.45/1.14  AC symbols                              0
% 0.45/1.14  
% 0.45/1.14  ------ Schedule dynamic 5 is on 
% 0.45/1.14  
% 0.45/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ 
% 0.45/1.14  Current options:
% 0.45/1.14  ------ 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Proving...
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.14  
% 0.45/1.14  
%------------------------------------------------------------------------------