TSTP Solution File: CAT010-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CAT010-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 04:41:36 EDT 2024

% Result   : Unsatisfiable 2.18s 1.02s
% Output   : CNFRefutation 2.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(c_51,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).

cnf(c_55,plain,
    ifeq(there_exists(domain(X0)),true,there_exists(X0),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).

cnf(c_57,plain,
    ifeq(there_exists(compose(X0,X1)),true,there_exists(domain(X0)),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).

cnf(c_58,plain,
    ifeq2(there_exists(compose(X0,X1)),true,domain(X0),codomain(X1)) = codomain(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).

cnf(c_60,plain,
    compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

cnf(c_62,plain,
    compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).

cnf(c_63,plain,
    there_exists(compose(a,b)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).

cnf(c_64,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_119,plain,
    compose(a,b) = sP0_iProver_def,
    definition ).

cnf(c_120,plain,
    codomain(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_121,plain,
    codomain(a) = sP2_iProver_def,
    definition ).

cnf(c_122,negated_conjecture,
    sP1_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_64,c_121,c_119,c_120]) ).

cnf(c_228,plain,
    compose(sP2_iProver_def,a) = a,
    inference(superposition,[status(thm)],[c_121,c_62]) ).

cnf(c_230,plain,
    there_exists(sP0_iProver_def) = true,
    inference(light_normalisation,[status(thm)],[c_63,c_119]) ).

cnf(c_254,plain,
    compose(sP2_iProver_def,compose(a,X0)) = compose(a,X0),
    inference(superposition,[status(thm)],[c_228,c_60]) ).

cnf(c_268,plain,
    ifeq(there_exists(sP0_iProver_def),true,there_exists(domain(a)),true) = true,
    inference(superposition,[status(thm)],[c_119,c_57]) ).

cnf(c_272,plain,
    ifeq(true,true,there_exists(domain(a)),true) = true,
    inference(light_normalisation,[status(thm)],[c_268,c_230]) ).

cnf(c_280,plain,
    ifeq2(there_exists(a),true,domain(sP2_iProver_def),codomain(a)) = codomain(a),
    inference(superposition,[status(thm)],[c_228,c_58]) ).

cnf(c_285,plain,
    ifeq2(there_exists(a),true,domain(sP2_iProver_def),sP2_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_280,c_121]) ).

cnf(c_347,plain,
    compose(sP2_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_119,c_254]) ).

cnf(c_359,plain,
    ifeq2(there_exists(sP0_iProver_def),true,domain(sP2_iProver_def),codomain(sP0_iProver_def)) = codomain(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_347,c_58]) ).

cnf(c_363,plain,
    ifeq2(true,true,domain(sP2_iProver_def),sP1_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_359,c_120,c_230]) ).

cnf(c_365,plain,
    domain(sP2_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_50,c_363]) ).

cnf(c_408,plain,
    there_exists(domain(a)) = true,
    inference(superposition,[status(thm)],[c_51,c_272]) ).

cnf(c_417,plain,
    ifeq(true,true,there_exists(a),true) = true,
    inference(superposition,[status(thm)],[c_408,c_55]) ).

cnf(c_421,plain,
    there_exists(a) = true,
    inference(superposition,[status(thm)],[c_51,c_417]) ).

cnf(c_432,plain,
    ifeq2(true,true,sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_285,c_365,c_421]) ).

cnf(c_433,plain,
    sP1_iProver_def = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_50,c_432]) ).

cnf(c_435,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_433,c_122]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : CAT010-10 : TPTP v8.2.0. Released v7.3.0.
% 0.08/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Tue Jun 18 12:39:39 EDT 2024
% 0.08/0.28  % CPUTime  : 
% 0.12/0.37  Running UEQ theorem proving
% 0.12/0.37  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.18/1.02  % SZS status Started for theBenchmark.p
% 2.18/1.02  % SZS status Unsatisfiable for theBenchmark.p
% 2.18/1.02  
% 2.18/1.02  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.18/1.02  
% 2.18/1.02  ------  iProver source info
% 2.18/1.02  
% 2.18/1.02  git: date: 2024-06-12 09:56:46 +0000
% 2.18/1.02  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.18/1.02  git: non_committed_changes: false
% 2.18/1.02  
% 2.18/1.02  ------ Parsing...successful
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.18/1.02  
% 2.18/1.02  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.18/1.02  
% 2.18/1.02  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.18/1.02  ------ Proving...
% 2.18/1.02  ------ Problem Properties 
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  clauses                                 19
% 2.18/1.02  conjectures                             1
% 2.18/1.02  EPR                                     1
% 2.18/1.02  Horn                                    19
% 2.18/1.02  unary                                   19
% 2.18/1.02  binary                                  0
% 2.18/1.02  lits                                    19
% 2.18/1.02  lits eq                                 19
% 2.18/1.02  fd_pure                                 0
% 2.18/1.02  fd_pseudo                               0
% 2.18/1.02  fd_cond                                 0
% 2.18/1.02  fd_pseudo_cond                          0
% 2.18/1.02  AC symbols                              0
% 2.18/1.02  
% 2.18/1.02  ------ Input Options Time Limit: Unbounded
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  ------ 
% 2.18/1.02  Current options:
% 2.18/1.02  ------ 
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  ------ Proving...
% 2.18/1.02  
% 2.18/1.02  
% 2.18/1.02  % SZS status Unsatisfiable for theBenchmark.p
% 2.18/1.02  
% 2.18/1.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.18/1.02  
% 2.18/1.02  
%------------------------------------------------------------------------------