TSTP Solution File: NUM285-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM285-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Thu Aug 31 11:29:14 EDT 2023

% Result   : Satisfiable 0.97s 1.17s
% Output   : Saturation 0.97s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ p1
    | a0
    | a1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_a0_plus_a1_1) ).

cnf(c_50,negated_conjecture,
    ( ~ p1
    | ~ a0
    | ~ a1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_a0_plus_a1_2) ).

cnf(c_51,negated_conjecture,
    ( ~ a1
    | p1
    | a0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_a0_plus_a1_3) ).

cnf(c_52,negated_conjecture,
    ( ~ a0
    | p1
    | a1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_a0_plus_a1_4) ).

cnf(c_53,negated_conjecture,
    ( ~ p2
    | p1
    | a2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_is_p1_plus_a2_1) ).

cnf(c_54,negated_conjecture,
    ( ~ p1
    | ~ p2
    | ~ a2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_is_p1_plus_a2_2) ).

cnf(c_55,negated_conjecture,
    ( ~ a2
    | p1
    | p2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_is_p1_plus_a2_3) ).

cnf(c_56,negated_conjecture,
    ( ~ p1
    | p2
    | a2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_is_p1_plus_a2_4) ).

cnf(c_57,negated_conjecture,
    ( ~ p3
    | p2
    | a3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_is_p2_plus_a3_1) ).

cnf(c_58,negated_conjecture,
    ( ~ p2
    | ~ p3
    | a3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_is_p2_plus_a3_2) ).

cnf(c_59,negated_conjecture,
    ( ~ a3
    | p2
    | p3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_is_p2_plus_a3_3) ).

cnf(c_60,negated_conjecture,
    ( ~ p2
    | p3
    | a3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_is_p2_plus_a3_4) ).

cnf(c_61,negated_conjecture,
    ( ~ p4
    | p3
    | a4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_is_p3_plus_a4_1) ).

cnf(c_62,negated_conjecture,
    ( ~ p3
    | ~ p4
    | a4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_is_p3_plus_a4_2) ).

cnf(c_63,negated_conjecture,
    ( ~ a4
    | p3
    | p4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_is_p3_plus_a4_3) ).

cnf(c_64,negated_conjecture,
    ( ~ p3
    | p4
    | a4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_is_p3_plus_a4_4) ).

cnf(c_66,negated_conjecture,
    ( ~ p4
    | ~ p5
    | a5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_is_p4_plus_a5_2) ).

cnf(c_67,negated_conjecture,
    ( ~ a5
    | p4
    | p5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_is_p4_plus_a5_3) ).

cnf(c_69,negated_conjecture,
    ( ~ q1
    | b0
    | b1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q1_is_b0_plus_b1_1) ).

cnf(c_70,negated_conjecture,
    ( ~ q1
    | ~ b0
    | ~ b1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q1_is_b0_plus_b1_2) ).

cnf(c_71,negated_conjecture,
    ( ~ b1
    | q1
    | b0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q1_is_b0_plus_b1_3) ).

cnf(c_72,negated_conjecture,
    ( ~ b0
    | q1
    | b1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q1_is_b0_plus_b1_4) ).

cnf(c_73,negated_conjecture,
    ( ~ q2
    | q1
    | b2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q2_is_q1_plus_b2_1) ).

cnf(c_74,negated_conjecture,
    ( ~ q1
    | ~ q2
    | ~ b2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q2_is_q1_plus_b2_2) ).

cnf(c_75,negated_conjecture,
    ( ~ b2
    | q1
    | q2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q2_is_q1_plus_b2_3) ).

cnf(c_76,negated_conjecture,
    ( ~ q1
    | q2
    | b2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q2_is_q1_plus_b2_4) ).

cnf(c_77,negated_conjecture,
    ( ~ q3
    | q2
    | b3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q3_is_q2_plus_b3_1) ).

cnf(c_78,negated_conjecture,
    ( ~ q2
    | ~ q3
    | b3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q3_is_q2_plus_b3_2) ).

cnf(c_79,negated_conjecture,
    ( ~ b3
    | q2
    | q3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q3_is_q2_plus_b3_3) ).

cnf(c_80,negated_conjecture,
    ( ~ q2
    | q3
    | b3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q3_is_q2_plus_b3_4) ).

cnf(c_81,negated_conjecture,
    ( ~ q4
    | q3
    | b4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q4_is_q3_plus_b4_1) ).

cnf(c_82,negated_conjecture,
    ( ~ q3
    | ~ q4
    | b4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q4_is_q3_plus_b4_2) ).

cnf(c_83,negated_conjecture,
    ( ~ b4
    | q3
    | q4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q4_is_q3_plus_b4_3) ).

cnf(c_84,negated_conjecture,
    ( ~ q3
    | q4
    | b4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q4_is_q3_plus_b4_4) ).

cnf(c_85,negated_conjecture,
    ( ~ q5
    | q4
    | b5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q5_is_q4_plus_b5_1) ).

cnf(c_86,negated_conjecture,
    ( ~ q4
    | ~ q5
    | b5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q5_is_q4_plus_b5_2) ).

cnf(c_87,negated_conjecture,
    ( ~ b5
    | q4
    | q5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q5_is_q4_plus_b5_3) ).

cnf(c_89,negated_conjecture,
    ( a0
    | b0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a0_not_b0_1) ).

cnf(c_90,negated_conjecture,
    ( ~ a0
    | ~ b0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a0_not_b0_2) ).

cnf(c_91,negated_conjecture,
    ( ~ b1
    | a1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_is_b1_1) ).

cnf(c_92,negated_conjecture,
    ( ~ a1
    | b1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_is_b1_2) ).

cnf(c_93,negated_conjecture,
    ( ~ b2
    | a2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_is_b2_1) ).

cnf(c_94,negated_conjecture,
    ( ~ a2
    | b2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_is_b2_2) ).

cnf(c_95,negated_conjecture,
    ( ~ b3
    | a3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_is_b3_1) ).

cnf(c_96,negated_conjecture,
    ( ~ a3
    | b3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_is_b3_2) ).

cnf(c_97,negated_conjecture,
    ( ~ b4
    | a4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_is_b4_1) ).

cnf(c_98,negated_conjecture,
    ( ~ a4
    | b4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_is_b4_2) ).

cnf(c_99,negated_conjecture,
    ( ~ b5
    | a5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_is_b5_1) ).

cnf(c_100,negated_conjecture,
    ( ~ a5
    | b5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_is_b5_2) ).

cnf(c_101,negated_conjecture,
    q5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_sum_1) ).

cnf(c_102,negated_conjecture,
    p5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_sum_2) ).

cnf(c_103,negated_conjecture,
    b5,
    inference(global_subsumption_just,[status(thm)],[c_100,c_101,c_85,c_86]) ).

cnf(c_109,negated_conjecture,
    q5,
    inference(global_subsumption_just,[status(thm)],[c_87,c_101]) ).

cnf(c_113,negated_conjecture,
    ( ~ q3
    | b4 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_84,c_82]) ).

cnf(c_115,negated_conjecture,
    ( ~ q4
    | b4 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_81,c_82]) ).

cnf(c_117,negated_conjecture,
    ( ~ q2
    | b3 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_80,c_78]) ).

cnf(c_119,negated_conjecture,
    ( ~ q3
    | b3 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_77,c_78]) ).

cnf(c_123,negated_conjecture,
    p5,
    inference(global_subsumption_just,[status(thm)],[c_67,c_102]) ).

cnf(c_127,negated_conjecture,
    ( ~ p3
    | a4 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_64,c_62]) ).

cnf(c_129,negated_conjecture,
    ( ~ p4
    | a4 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_61,c_62]) ).

cnf(c_131,negated_conjecture,
    ( ~ p2
    | a3 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_60,c_58]) ).

cnf(c_133,negated_conjecture,
    ( ~ p3
    | a3 ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_57,c_58]) ).

cnf(c_135,negated_conjecture,
    b5,
    inference(global_subsumption_just,[status(thm)],[c_86,c_101,c_85,c_86]) ).

cnf(c_141,negated_conjecture,
    a5,
    inference(global_subsumption_just,[status(thm)],[c_66,c_99,c_103]) ).

cnf(c_147,plain,
    ( ~ b0
    | ~ a0 ),
    inference(prop_impl_just,[status(thm)],[c_90]) ).

cnf(c_148,plain,
    ( ~ a0
    | ~ b0 ),
    inference(renaming,[status(thm)],[c_147]) ).

cnf(c_149,plain,
    ( b0
    | a0 ),
    inference(prop_impl_just,[status(thm)],[c_89]) ).

cnf(c_150,plain,
    ( a0
    | b0 ),
    inference(renaming,[status(thm)],[c_149]) ).

cnf(c_151,plain,
    ( b1
    | ~ a1 ),
    inference(prop_impl_just,[status(thm)],[c_92]) ).

cnf(c_152,plain,
    ( ~ a1
    | b1 ),
    inference(renaming,[status(thm)],[c_151]) ).

cnf(c_153,plain,
    ( ~ b1
    | a1 ),
    inference(prop_impl_just,[status(thm)],[c_91]) ).

cnf(c_155,plain,
    ( b2
    | ~ a2 ),
    inference(prop_impl_just,[status(thm)],[c_94]) ).

cnf(c_156,plain,
    ( ~ a2
    | b2 ),
    inference(renaming,[status(thm)],[c_155]) ).

cnf(c_157,plain,
    ( ~ b2
    | a2 ),
    inference(prop_impl_just,[status(thm)],[c_93]) ).

cnf(c_159,plain,
    ( b3
    | ~ a3 ),
    inference(prop_impl_just,[status(thm)],[c_96]) ).

cnf(c_160,plain,
    ( ~ a3
    | b3 ),
    inference(renaming,[status(thm)],[c_159]) ).

cnf(c_161,plain,
    ( ~ b3
    | a3 ),
    inference(prop_impl_just,[status(thm)],[c_95]) ).

cnf(c_163,plain,
    ( b4
    | ~ a4 ),
    inference(prop_impl_just,[status(thm)],[c_98]) ).

cnf(c_164,plain,
    ( ~ a4
    | b4 ),
    inference(renaming,[status(thm)],[c_163]) ).

cnf(c_165,plain,
    ( ~ b4
    | a4 ),
    inference(prop_impl_just,[status(thm)],[c_97]) ).

cnf(c_167,plain,
    ( ~ p2
    | b3 ),
    inference(prop_impl_just,[status(thm)],[c_96,c_131]) ).

cnf(c_169,plain,
    ( ~ p3
    | b3 ),
    inference(prop_impl_just,[status(thm)],[c_96,c_133]) ).

cnf(c_171,plain,
    ( ~ p3
    | b4 ),
    inference(prop_impl_just,[status(thm)],[c_98,c_127]) ).

cnf(c_173,plain,
    ( ~ p4
    | b4 ),
    inference(prop_impl_just,[status(thm)],[c_98,c_129]) ).

cnf(c_175,plain,
    ( ~ q2
    | b3 ),
    inference(prop_impl_just,[status(thm)],[c_117]) ).

cnf(c_177,plain,
    ( ~ q3
    | b3 ),
    inference(prop_impl_just,[status(thm)],[c_119]) ).

cnf(c_179,plain,
    ( ~ q3
    | b4 ),
    inference(prop_impl_just,[status(thm)],[c_113]) ).

cnf(c_189,plain,
    ( ~ q4
    | b4 ),
    inference(prop_impl_just,[status(thm)],[c_115]) ).

cnf(c_249,negated_conjecture,
    ( ~ p1
    | ~ b0
    | b1 ),
    inference(bin_hyper_res,[status(thm)],[c_49,c_152,c_148]) ).

cnf(c_250,negated_conjecture,
    ( ~ p1
    | ~ b1
    | b0 ),
    inference(bin_hyper_res,[status(thm)],[c_50,c_153,c_150]) ).

cnf(c_251,negated_conjecture,
    ( ~ b0
    | ~ b1
    | p1 ),
    inference(bin_hyper_res,[status(thm)],[c_51,c_148,c_153]) ).

cnf(c_252,negated_conjecture,
    ( p1
    | b0
    | b1 ),
    inference(bin_hyper_res,[status(thm)],[c_52,c_152,c_150]) ).

cnf(c_253,negated_conjecture,
    ( ~ p2
    | p1
    | b2 ),
    inference(bin_hyper_res,[status(thm)],[c_53,c_156]) ).

cnf(c_254,negated_conjecture,
    ( ~ p1
    | ~ p2
    | ~ b2 ),
    inference(bin_hyper_res,[status(thm)],[c_54,c_157]) ).

cnf(c_255,negated_conjecture,
    ( ~ b2
    | p1
    | p2 ),
    inference(bin_hyper_res,[status(thm)],[c_55,c_157]) ).

cnf(c_256,negated_conjecture,
    ( ~ p1
    | p2
    | b2 ),
    inference(bin_hyper_res,[status(thm)],[c_56,c_156]) ).

cnf(c_257,negated_conjecture,
    ( ~ b3
    | p2
    | p3 ),
    inference(bin_hyper_res,[status(thm)],[c_59,c_161]) ).

cnf(c_258,negated_conjecture,
    ( ~ b4
    | p3
    | p4 ),
    inference(bin_hyper_res,[status(thm)],[c_63,c_165]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM285-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 09:46:59 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.97/1.17  % SZS status Started for theBenchmark.p
% 0.97/1.17  % SZS status Satisfiable for theBenchmark.p
% 0.97/1.17  
% 0.97/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.97/1.17  
% 0.97/1.17  ------  iProver source info
% 0.97/1.17  
% 0.97/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.97/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.97/1.17  git: non_committed_changes: false
% 0.97/1.17  git: last_make_outside_of_git: false
% 0.97/1.17  
% 0.97/1.17  ------ Parsing...successful
% 0.97/1.17  
% 0.97/1.17  ------  preprocesses with Option_epr_non_horn_non_eq
% 0.97/1.17  
% 0.97/1.17  
% 0.97/1.17  ------ Preprocessing... sf_s  rm: 42 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.97/1.17  
% 0.97/1.17  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.97/1.17   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.97/1.17  ------ Proving...
% 0.97/1.17  ------ Problem Properties 
% 0.97/1.17  
% 0.97/1.17  
% 0.97/1.17  clauses                                 0
% 0.97/1.17  conjectures                             0
% 0.97/1.17  EPR                                     0
% 0.97/1.17  Horn                                    0
% 0.97/1.17  unary                                   0
% 0.97/1.17  binary                                  0
% 0.97/1.17  lits                                    0
% 0.97/1.17  lits eq                                 0
% 0.97/1.17  fd_pure                                 0
% 0.97/1.17  fd_pseudo                               0
% 0.97/1.17  fd_cond                                 0
% 0.97/1.17  fd_pseudo_cond                          0
% 0.97/1.17  AC symbols                              0
% 0.97/1.17  
% 0.97/1.17  ------ Schedule EPR Horn non eq is on
% 0.97/1.17  
% 0.97/1.17  ------ no conjectures: strip conj schedule 
% 0.97/1.17  
% 0.97/1.17  ------ no equalities: superposition off 
% 0.97/1.17  
% 0.97/1.17  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 0.97/1.17  
% 0.97/1.17  
% 0.97/1.17  
% 0.97/1.17  
% 0.97/1.17  % SZS status Satisfiable for theBenchmark.p
% 0.97/1.17  
% 0.97/1.17  % SZS output start Saturation for theBenchmark.p
% See solution above
% 0.97/1.18  
% 0.97/1.18  
%------------------------------------------------------------------------------