TSTP Solution File: ARI494_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI494_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:07:06 EDT 2024

% Result   : Theorem 3.47s 1.20s
% Output   : CNFRefutation 3.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ARI494_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May  3 01:28:51 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.47/1.20  % SZS status Started for theBenchmark.p
% 3.47/1.20  % SZS status Theorem for theBenchmark.p
% 3.47/1.20  
% 3.47/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.47/1.20  
% 3.47/1.20  ------  iProver source info
% 3.47/1.20  
% 3.47/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.47/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.47/1.20  git: non_committed_changes: false
% 3.47/1.20  
% 3.47/1.20  ------ Parsing...
% 3.47/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.47/1.20  
% 3.47/1.20  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.47/1.20  
% 3.47/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.47/1.20  
% 3.47/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.47/1.20  ------ Proving...
% 3.47/1.20  ------ Problem Properties 
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  clauses                                 21
% 3.47/1.20  conjectures                             0
% 3.47/1.20  EPR                                     8
% 3.47/1.20  Horn                                    18
% 3.47/1.20  unary                                   17
% 3.47/1.20  binary                                  1
% 3.47/1.20  lits                                    28
% 3.47/1.20  lits eq                                 15
% 3.47/1.20  fd_pure                                 0
% 3.47/1.20  fd_pseudo                               0
% 3.47/1.20  fd_cond                                 0
% 3.47/1.20  fd_pseudo_cond                          2
% 3.47/1.20  AC symbols                              2
% 3.47/1.20  
% 3.47/1.20  ------ Input Options Time Limit: Unbounded
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  ------ 
% 3.47/1.20  Current options:
% 3.47/1.20  ------ 
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  ------ Proving...
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  % SZS status Theorem for theBenchmark.p
% 3.47/1.20  
% 3.47/1.20  % SZS output start CNFRefutation for theBenchmark.p
% 3.47/1.20  
% 3.47/1.20  tff(f1,conjecture,(
% 3.47/1.20    ? [X0 : $real] : $less($sum($product(X0,3.2),-0.75),-12.8)),
% 3.47/1.20    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_9)).
% 3.47/1.20  
% 3.47/1.20  tff(f2,negated_conjecture,(
% 3.47/1.20    ~? [X0 : $real] : $less($sum($product(X0,3.2),-0.75),-12.8)),
% 3.47/1.20    inference(negated_conjecture,[],[f1])).
% 3.47/1.20  
% 3.47/1.20  tff(f3,plain,(
% 3.47/1.20    ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.47/1.20    introduced(theory_axiom_138,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f4,plain,(
% 3.47/1.20    ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.47/1.20    introduced(theory_axiom_139,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f8,plain,(
% 3.47/1.20    ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 3.47/1.20    introduced(theory_axiom_145,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f9,plain,(
% 3.47/1.20    ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.47/1.20    introduced(theory_axiom_146,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f10,plain,(
% 3.47/1.20    ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.47/1.20    introduced(theory_axiom_147,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f12,plain,(
% 3.47/1.20    ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,$sum(X0,1.0))) )),
% 3.47/1.20    introduced(theory_axiom_150,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f14,plain,(
% 3.47/1.20    ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.47/1.20    introduced(theory_axiom_138,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f15,plain,(
% 3.47/1.20    ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.47/1.20    introduced(theory_axiom_139,[])).
% 3.47/1.20  
% 3.47/1.20  tff(f20,plain,(
% 3.47/1.20    ! [X0 : $real] : ~$less($sum($product(X0,3.2),-0.75),-12.8)),
% 3.47/1.20    inference(ennf_transformation,[],[f2])).
% 3.47/1.20  
% 3.47/1.20  tff(f21,plain,(
% 3.47/1.20    ( ! [X0 : $real] : (~$less($sum($product(X0,3.2),-0.75),-12.8)) )),
% 3.47/1.20    inference(cnf_transformation,[],[f20])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_53,plain,
% 3.47/1.20      ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 3.47/1.20      inference(cnf_transformation,[],[f15])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_54,plain,
% 3.47/1.20      ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 3.47/1.20      inference(cnf_transformation,[],[f14])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_56,plain,
% 3.47/1.20      ($less_real(X0_2,$sum_real(X1_2,1.0))|$less_real(X1_2,X0_2)),
% 3.47/1.20      inference(cnf_transformation,[],[f12])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_58,plain,
% 3.47/1.20      (X0_2 = X1_2|$less_real(X0_2,X1_2)|$less_real(X1_2,X0_2)),
% 3.47/1.20      inference(cnf_transformation,[],[f10])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_59,plain,
% 3.47/1.20      (~$less_real(X0_2,X1_2)|~$less_real(X1_2,X2_2)|$less_real(X0_2,X2_2)),
% 3.47/1.20      inference(cnf_transformation,[],[f9])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_60,plain,
% 3.47/1.20      (~$less_real(X0_2,X0_2)),
% 3.47/1.20      inference(cnf_transformation,[],[f8])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_64,plain,
% 3.47/1.20      ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 3.47/1.20      inference(cnf_transformation,[],[f4])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_65,plain,
% 3.47/1.20      ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 3.47/1.20      inference(cnf_transformation,[],[f3])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_66,negated_conjecture,
% 3.47/1.20      (~$less_real($sum_real($product_real(X0_2,3.2),-0.75),-12.8)),
% 3.47/1.20      inference(cnf_transformation,[],[f21])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_87,negated_conjecture,
% 3.47/1.20      (~$less_real($sum_real(-0.75,$product_real(X0_2,3.2)),-12.8)),
% 3.47/1.20      inference(theory_normalisation,[status(thm)],[c_66,c_53,c_54,c_64,c_65])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_149,plain,
% 3.47/1.20      (~$less_real(X0_2,-3.765625)),
% 3.47/1.20      inference(smt_theory_normalisation,[status(thm)],[c_87])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_569,plain,
% 3.47/1.20      (X0_2 = -3.765625|$less_real(-3.765625,X0_2)),
% 3.47/1.20      inference(superposition,[status(thm)],[c_58,c_149])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_581,plain,
% 3.47/1.20      (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(X2_2,1.0))|$less_real(X2_2,X1_2)),
% 3.47/1.20      inference(superposition,[status(thm)],[c_56,c_59])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_825,plain,
% 3.47/1.20      (X0_2 = -3.765625|$less_real(-3.765625,$sum_real(X1_2,1.0))|$less_real(X1_2,X0_2)),
% 3.47/1.20      inference(superposition,[status(thm)],[c_569,c_581])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_1248,plain,
% 3.47/1.20      (X0_2 = -3.765625|$less_real(X1_2,X0_2)|$less_real(-4.765625,X1_2)),
% 3.47/1.20      inference(smt_theory_normalisation,[status(thm)],[c_825])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_1271,plain,
% 3.47/1.20      (-3.765625 = -4.765625|$less_real(-4.765625,-4.765625)),
% 3.47/1.20      inference(equality_factoring,[status(thm)],[c_1248])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_1273,plain,
% 3.47/1.20      (-3.765625 = -4.765625),
% 3.47/1.20      inference(forward_subsumption_resolution,[status(thm)],[c_1271,c_60])).
% 3.47/1.20  
% 3.47/1.20  cnf(c_1581,plain,
% 3.47/1.20      ($false),
% 3.47/1.20      inference(smt_theory_normalisation,[status(thm)],[c_1273])).
% 3.47/1.20  
% 3.47/1.20  
% 3.47/1.20  % SZS output end CNFRefutation for theBenchmark.p
% 3.47/1.20  
% 3.47/1.20  
%------------------------------------------------------------------------------