TSTP Solution File: PLA047_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PLA047_1 : TPTP v8.1.2. 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 : Fri May  3 02:53:57 EDT 2024

% Result   : Theorem 15.54s 2.60s
% Output   : CNFRefutation 15.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : PLA047_1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 21:35:53 EDT 2024
% 0.11/0.31  % CPUTime  : 
% 0.16/0.42  Running TFA theorem proving
% 0.16/0.42  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
% 15.54/2.60  % SZS status Started for theBenchmark.p
% 15.54/2.60  % SZS status Theorem for theBenchmark.p
% 15.54/2.60  
% 15.54/2.60  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.54/2.60  
% 15.54/2.60  ------  iProver source info
% 15.54/2.60  
% 15.54/2.60  git: date: 2024-05-02 19:28:25 +0000
% 15.54/2.60  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.54/2.60  git: non_committed_changes: false
% 15.54/2.60  
% 15.54/2.60  ------ Parsing...
% 15.54/2.60  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 15.54/2.60  
% 15.54/2.60  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 15.54/2.60  
% 15.54/2.60  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.54/2.60  
% 15.54/2.60  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 15.54/2.60  ------ Proving...
% 15.54/2.60  ------ Problem Properties 
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  clauses                                 79
% 15.54/2.60  conjectures                             49
% 15.54/2.60  EPR                                     32
% 15.54/2.60  Horn                                    70
% 15.54/2.60  unary                                   65
% 15.54/2.60  binary                                  9
% 15.54/2.60  lits                                    98
% 15.54/2.60  lits eq                                 45
% 15.54/2.60  fd_pure                                 0
% 15.54/2.60  fd_pseudo                               0
% 15.54/2.60  fd_cond                                 0
% 15.54/2.60  fd_pseudo_cond                          3
% 15.54/2.60  AC symbols                              3
% 15.54/2.60  
% 15.54/2.60  ------ Input Options Time Limit: Unbounded
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  ------ 
% 15.54/2.60  Current options:
% 15.54/2.60  ------ 
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  ------ Proving...
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  % SZS status Theorem for theBenchmark.p
% 15.54/2.60  
% 15.54/2.60  % SZS output start CNFRefutation for theBenchmark.p
% 15.54/2.60  
% 15.54/2.60  tff(f16,axiom,(
% 15.54/2.60    ns(6) = 1600),
% 15.54/2.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ns_6)).
% 15.54/2.60  
% 15.54/2.60  tff(f17,axiom,(
% 15.54/2.60    ! [X1 : $real,X2 : $int,X3 : $int] : $product(dc(X1,X2,X3),$to_real($difference(X2,ns(X3)))) = $difference($to_real(X2),$product(X1,$to_real(ns(X3))))),
% 15.54/2.60    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc)).
% 15.54/2.60  
% 15.54/2.60  tff(f27,plain,(
% 15.54/2.60    ! [X1 : $real,X2 : $int,X3 : $int] : $product(dc(X1,X2,X3),$to_real($sum(X2,$uminus(ns(X3))))) = $sum($to_real(X2),$uminus($product(X1,$to_real(ns(X3)))))),
% 15.54/2.60    inference(theory_normalization,[],[f17])).
% 15.54/2.60  
% 15.54/2.60  tff(f36,plain,(
% 15.54/2.60    ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 15.54/2.60    introduced(theory_axiom_143,[])).
% 15.54/2.60  
% 15.54/2.60  tff(f49,plain,(
% 15.54/2.60    ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 15.54/2.60    introduced(theory_axiom_145,[])).
% 15.54/2.60  
% 15.54/2.60  tff(f50,plain,(
% 15.54/2.60    ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 15.54/2.60    introduced(theory_axiom_146,[])).
% 15.54/2.60  
% 15.54/2.60  tff(f51,plain,(
% 15.54/2.60    ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 15.54/2.60    introduced(theory_axiom_147,[])).
% 15.54/2.60  
% 15.54/2.60  tff(f61,plain,(
% 15.54/2.60    ! [X0 : $real,X1 : $int,X2 : $int] : $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2)))))),
% 15.54/2.60    inference(rectify,[],[f27])).
% 15.54/2.60  
% 15.54/2.60  tff(f95,plain,(
% 15.54/2.60    ns(6) = 1600),
% 15.54/2.60    inference(cnf_transformation,[],[f16])).
% 15.54/2.60  
% 15.54/2.60  tff(f96,plain,(
% 15.54/2.60    ( ! [X2 : $int,X0 : $real,X1 : $int] : ($product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2)))))) )),
% 15.54/2.60    inference(cnf_transformation,[],[f61])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_58,negated_conjecture,
% 15.54/2.60      (X0_2 = X1_2|$less_real(X0_2,X1_2)|$less_real(X1_2,X0_2)),
% 15.54/2.60      inference(cnf_transformation,[],[f51])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_59,plain,
% 15.54/2.60      (~$less_real(X0_2,X1_2)|~$less_real(X1_2,X2_2)|$less_real(X0_2,X2_2)),
% 15.54/2.60      inference(cnf_transformation,[],[f50])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_60,negated_conjecture,
% 15.54/2.60      (~$less_real(X0_2,X0_2)),
% 15.54/2.60      inference(cnf_transformation,[],[f49])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_73,negated_conjecture,
% 15.54/2.60      ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 15.54/2.60      inference(cnf_transformation,[],[f36])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_95,negated_conjecture,
% 15.54/2.60      (ns(6) = 1600),
% 15.54/2.60      inference(cnf_transformation,[],[f95])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_96,negated_conjecture,
% 15.54/2.60      ($product_real(dc(X0_2,X0_3,X1_3),$to_real_int($sum_int(X0_3,$uminus_int(ns(X1_3))))) = $sum_real($to_real_int(X0_3),$uminus_real($product_real(X0_2,$to_real_int(ns(X1_3)))))),
% 15.54/2.60      inference(cnf_transformation,[],[f96])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_124,plain,($less_real(0.0,0.9)),theory(arith)).
% 15.54/2.60  
% 15.54/2.60  cnf(c_125,plain,($less_real(0.9,1.0)),theory(arith)).
% 15.54/2.60  
% 15.54/2.60  cnf(c_129,plain,
% 15.54/2.60      (~$less_real(0.0,0.0)),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_60])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_148,plain,
% 15.54/2.60      (0.0 = 0.0|$less_real(0.0,0.0)),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_58])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_546,plain,
% 15.54/2.60      (X0_2 != X1_2|X2_2 != X3_2|~$less_real(X1_2,X3_2)|$less_real(X0_2,X2_2)),
% 15.54/2.60      theory(equality)).
% 15.54/2.60  
% 15.54/2.60  cnf(c_1710,plain,
% 15.54/2.60      (~$less_real(X0_2,0.9)|~$less_real(0.9,1.0)|$less_real(X0_2,1.0)),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_59])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_1711,plain,
% 15.54/2.60      (~$less_real(0.0,0.9)|~$less_real(0.9,1.0)|$less_real(0.0,1.0)),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_1710])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_1883,plain,
% 15.54/2.60      ($sum_real($to_real_int(ns(X0_3)),$uminus_real($product_real(X0_2,$to_real_int(ns(X0_3))))) = $product_real(dc(X0_2,ns(X0_3),X0_3),$to_real_int(0))),
% 15.54/2.60      inference(superposition,[status(thm)],[c_73,c_96])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_2117,plain,
% 15.54/2.60      ($sum_real($to_real_int(ns(X0_3)),$product_real(-1.0,$product_real(X0_2,$to_real_int(ns(X0_3))))) = 0.0),
% 15.54/2.60      inference(smt_theory_normalisation,[status(thm)],[c_1883])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_2709,plain,
% 15.54/2.60      (X0_2 != X1_2|X2_2 != 1.0|~$less_real(X1_2,1.0)|$less_real(X0_2,X2_2)),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_546])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_2710,plain,
% 15.54/2.60      (0.0 != 0.0|0.0 != 1.0|~$less_real(0.0,1.0)|$less_real(0.0,0.0)),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_2709])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_3983,plain,
% 15.54/2.60      ($sum_real($to_real_int(1600),$product_real(-1.0,$product_real(X0_2,$to_real_int(1600)))) = 0.0),
% 15.54/2.60      inference(superposition,[status(thm)],[c_95,c_2117])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_5012,plain,
% 15.54/2.60      (X0_2 = 1.0),
% 15.54/2.60      inference(smt_theory_normalisation,[status(thm)],[c_3983])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_5759,plain,
% 15.54/2.60      (0.0 = 1.0),
% 15.54/2.60      inference(instantiation,[status(thm)],[c_5012])).
% 15.54/2.60  
% 15.54/2.60  cnf(c_5760,plain,
% 15.54/2.60      ($false),
% 15.54/2.60      inference(prop_impl_just,
% 15.54/2.60                [status(thm)],
% 15.54/2.60                [c_5759,c_2710,c_1711,c_148,c_129,c_124,c_125])).
% 15.54/2.60  
% 15.54/2.60  
% 15.54/2.60  % SZS output end CNFRefutation for theBenchmark.p
% 15.54/2.60  
% 15.54/2.60  
%------------------------------------------------------------------------------