TSTP Solution File: CAT006-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT006-3 : TPTP v8.1.2. 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 : Fri May  3 02:09:01 EDT 2024

% Result   : Unsatisfiable 2.50s 1.19s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

cnf(c_51,plain,
    ( ~ there_exists(compose(d,X0))
    | compose(d,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dx_equals_x) ).

cnf(c_52,negated_conjecture,
    codomain(a) != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).

cnf(c_56,plain,
    ( ~ there_exists(domain(X0))
    | there_exists(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).

cnf(c_58,plain,
    ( ~ there_exists(compose(X0,X1))
    | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).

cnf(c_59,plain,
    ( ~ there_exists(compose(X0,X1))
    | codomain(X1) = domain(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).

cnf(c_62,plain,
    compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).

cnf(c_354,plain,
    codomain(a) = sP0_iProver_def,
    definition ).

cnf(c_355,negated_conjecture,
    sP0_iProver_def != d,
    inference(demodulation,[status(thm)],[c_52,c_354]) ).

cnf(c_558,plain,
    there_exists(domain(d)),
    inference(superposition,[status(thm)],[c_49,c_58]) ).

cnf(c_595,plain,
    there_exists(d),
    inference(superposition,[status(thm)],[c_558,c_56]) ).

cnf(c_640,plain,
    compose(d,a) = a,
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_643,plain,
    there_exists(a),
    inference(demodulation,[status(thm)],[c_49,c_640]) ).

cnf(c_654,plain,
    ( ~ there_exists(a)
    | codomain(a) = domain(d) ),
    inference(superposition,[status(thm)],[c_640,c_59]) ).

cnf(c_660,plain,
    ( ~ there_exists(a)
    | domain(d) = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_654,c_354]) ).

cnf(c_661,plain,
    domain(d) = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_660,c_643]) ).

cnf(c_748,plain,
    compose(d,sP0_iProver_def) = d,
    inference(superposition,[status(thm)],[c_661,c_62]) ).

cnf(c_771,plain,
    ( ~ there_exists(d)
    | compose(d,sP0_iProver_def) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_748,c_51]) ).

cnf(c_778,plain,
    ( ~ there_exists(d)
    | d = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_771,c_748]) ).

cnf(c_779,plain,
    d = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_778,c_595]) ).

cnf(c_787,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_355,c_779]) ).

cnf(c_788,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_787]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.34  % Computer : n011.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Thu May  2 21:18:33 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 2.50/1.19  % SZS status Started for theBenchmark.p
% 2.50/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.19  
% 2.50/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.50/1.19  
% 2.50/1.19  ------  iProver source info
% 2.50/1.19  
% 2.50/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.50/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.50/1.19  git: non_committed_changes: false
% 2.50/1.19  
% 2.50/1.19  ------ Parsing...successful
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  ------ 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 
% 2.50/1.19  
% 2.50/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.50/1.19  
% 2.50/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.50/1.19  ------ Proving...
% 2.50/1.19  ------ Problem Properties 
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  clauses                                 17
% 2.50/1.19  conjectures                             1
% 2.50/1.19  EPR                                     1
% 2.50/1.19  Horn                                    15
% 2.50/1.19  unary                                   6
% 2.50/1.19  binary                                  8
% 2.50/1.19  lits                                    31
% 2.50/1.19  lits eq                                 16
% 2.50/1.19  fd_pure                                 0
% 2.50/1.19  fd_pseudo                               0
% 2.50/1.19  fd_cond                                 0
% 2.50/1.19  fd_pseudo_cond                          2
% 2.50/1.19  AC symbols                              0
% 2.50/1.19  
% 2.50/1.19  ------ Schedule dynamic 5 is on 
% 2.50/1.19  
% 2.50/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  ------ 
% 2.50/1.19  Current options:
% 2.50/1.19  ------ 
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  ------ Proving...
% 2.50/1.19  
% 2.50/1.19  
% 2.50/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.19  
% 2.50/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.50/1.19  
% 2.50/1.19  
%------------------------------------------------------------------------------