TSTP Solution File: HWC002-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : Thu Aug 31 01:58:06 EDT 2023

% Result   : Unsatisfiable 63.17s 15.12s
% Output   : CNFRefutation 63.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   34 (  34 unt;   0 nHn;  19 RR)
%            Number of literals    :   34 (  27 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-4 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_65,plain,
    table(and(X0,X1),and(X2,X3),and(X4,X5),and(X6,X7)) = and(table(X0,X2,X4,X6),table(X1,X3,X5,X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_table_definition) ).

cnf(c_71,plain,
    table(n0,n0,n0,n0) = nil,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_table) ).

cnf(c_72,plain,
    table(n1,n1,n1,n1) = nil,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full_table) ).

cnf(c_75,plain,
    circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input_configuration) ).

cnf(c_76,negated_conjecture,
    ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_output_configuration) ).

cnf(c_77,plain,
    and(n0,n0) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition1) ).

cnf(c_78,plain,
    and(n0,n1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition2) ).

cnf(c_79,plain,
    and(n1,n0) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition3) ).

cnf(c_80,plain,
    and(n1,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition4) ).

cnf(c_593,plain,
    and(table(n0,X0,X1,X2),table(n0,X3,X4,X5)) = table(n0,and(X0,X3),and(X1,X4),and(X2,X5)),
    inference(superposition,[status(thm)],[c_77,c_65]) ).

cnf(c_594,plain,
    and(table(n0,X0,X1,X2),table(n1,X3,X4,X5)) = table(n0,and(X0,X3),and(X1,X4),and(X2,X5)),
    inference(superposition,[status(thm)],[c_78,c_65]) ).

cnf(c_629,plain,
    and(table(n0,n0,X0,X1),table(n0,n0,X2,X3)) = table(n0,n0,and(X0,X2),and(X1,X3)),
    inference(superposition,[status(thm)],[c_77,c_593]) ).

cnf(c_631,plain,
    and(table(n0,n1,X0,X1),table(n0,n0,X2,X3)) = table(n0,n0,and(X0,X2),and(X1,X3)),
    inference(superposition,[status(thm)],[c_79,c_593]) ).

cnf(c_680,plain,
    table(n0,n0,and(X0,n0),and(X1,n0)) = and(table(n0,n0,X0,X1),nil),
    inference(superposition,[status(thm)],[c_71,c_629]) ).

cnf(c_1236,plain,
    and(table(n0,n0,n1,X0),nil) = table(n0,n0,n0,and(X0,n0)),
    inference(superposition,[status(thm)],[c_79,c_680]) ).

cnf(c_1391,plain,
    and(table(n0,n0,n1,n1),nil) = table(n0,n0,n0,n0),
    inference(superposition,[status(thm)],[c_79,c_1236]) ).

cnf(c_3524,plain,
    table(n0,n0,and(X0,n0),and(X1,n0)) = and(table(n0,n1,X0,X1),nil),
    inference(superposition,[status(thm)],[c_71,c_631]) ).

cnf(c_3645,plain,
    and(table(n0,n1,n0,X0),nil) = table(n0,n0,n0,and(X0,n0)),
    inference(superposition,[status(thm)],[c_77,c_3524]) ).

cnf(c_3680,plain,
    and(table(n0,n1,n0,n1),nil) = table(n0,n0,n0,n0),
    inference(superposition,[status(thm)],[c_79,c_3645]) ).

cnf(c_10986,plain,
    and(table(n0,n0,X0,X1),table(n1,n1,X2,X3)) = table(n0,n0,and(X0,X2),and(X1,X3)),
    inference(superposition,[status(thm)],[c_78,c_594]) ).

cnf(c_10988,plain,
    and(table(n0,n1,X0,X1),table(n1,n1,X2,X3)) = table(n0,n1,and(X0,X2),and(X1,X3)),
    inference(superposition,[status(thm)],[c_80,c_594]) ).

cnf(c_16564,plain,
    table(n0,n0,and(X0,n1),and(X1,n1)) = and(table(n0,n0,X0,X1),nil),
    inference(superposition,[status(thm)],[c_72,c_10986]) ).

cnf(c_18859,plain,
    and(table(n0,n0,n1,X0),nil) = table(n0,n0,n1,and(X0,n1)),
    inference(superposition,[status(thm)],[c_80,c_16564]) ).

cnf(c_20021,plain,
    and(table(n0,n0,n1,n1),nil) = table(n0,n0,n1,n1),
    inference(superposition,[status(thm)],[c_80,c_18859]) ).

cnf(c_20243,plain,
    table(n0,n0,n0,n0) = table(n0,n0,n1,n1),
    inference(superposition,[status(thm)],[c_20021,c_1391]) ).

cnf(c_20467,plain,
    circuit(top(connect(table(n0,n0,n0,n0),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))),
    inference(superposition,[status(thm)],[c_20243,c_75]) ).

cnf(c_20468,plain,
    ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n0,n0),nil))),
    inference(superposition,[status(thm)],[c_20243,c_76]) ).

cnf(c_22276,plain,
    table(n0,n1,and(X0,n1),and(X1,n1)) = and(table(n0,n1,X0,X1),nil),
    inference(superposition,[status(thm)],[c_72,c_10988]) ).

cnf(c_22344,plain,
    and(table(n0,n1,n0,X0),nil) = table(n0,n1,n0,and(X0,n1)),
    inference(superposition,[status(thm)],[c_78,c_22276]) ).

cnf(c_22441,plain,
    and(table(n0,n1,n0,n1),nil) = table(n0,n1,n0,n1),
    inference(superposition,[status(thm)],[c_80,c_22344]) ).

cnf(c_23989,plain,
    table(n0,n0,n0,n0) = table(n0,n1,n0,n1),
    inference(superposition,[status(thm)],[c_22441,c_3680]) ).

cnf(c_24655,plain,
    circuit(top(connect(table(n0,n0,n0,n0),nil)),nil,bottom(connect(table(n0,n0,n0,n0),nil))),
    inference(superposition,[status(thm)],[c_23989,c_20467]) ).

cnf(c_24661,plain,
    ~ circuit(top(connect(table(n0,n0,n0,n0),nil)),nil,bottom(connect(table(n0,n0,n0,n0),nil))),
    inference(superposition,[status(thm)],[c_23989,c_20468]) ).

cnf(c_24711,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_24661,c_24655]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.16  % Command  : run_iprover %s %d THM
% 0.13/0.36  % Computer : n026.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Mon Aug 28 06:55:50 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.17/0.50  Running first-order theorem proving
% 0.17/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 63.17/15.12  % SZS status Started for theBenchmark.p
% 63.17/15.12  % SZS status Unsatisfiable for theBenchmark.p
% 63.17/15.12  
% 63.17/15.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 63.17/15.12  
% 63.17/15.12  ------  iProver source info
% 63.17/15.12  
% 63.17/15.12  git: date: 2023-05-31 18:12:56 +0000
% 63.17/15.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 63.17/15.12  git: non_committed_changes: false
% 63.17/15.12  git: last_make_outside_of_git: false
% 63.17/15.12  
% 63.17/15.12  ------ Parsing...successful
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 63.17/15.12  
% 63.17/15.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 63.17/15.12  
% 63.17/15.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 63.17/15.12  ------ Proving...
% 63.17/15.12  ------ Problem Properties 
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  clauses                                 38
% 63.17/15.12  conjectures                             1
% 63.17/15.12  EPR                                     0
% 63.17/15.12  Horn                                    38
% 63.17/15.12  unary                                   23
% 63.17/15.12  binary                                  15
% 63.17/15.12  lits                                    53
% 63.17/15.12  lits eq                                 20
% 63.17/15.12  fd_pure                                 0
% 63.17/15.12  fd_pseudo                               0
% 63.17/15.12  fd_cond                                 0
% 63.17/15.12  fd_pseudo_cond                          0
% 63.17/15.12  AC symbols                              0
% 63.17/15.12  
% 63.17/15.12  ------ Input Options Time Limit: Unbounded
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  ------ 
% 63.17/15.12  Current options:
% 63.17/15.12  ------ 
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  ------ Proving...
% 63.17/15.12  
% 63.17/15.12  
% 63.17/15.12  % SZS status Unsatisfiable for theBenchmark.p
% 63.17/15.12  
% 63.17/15.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 63.17/15.13  
% 63.17/15.13  
%------------------------------------------------------------------------------