TSTP Solution File: FLD049-4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD049-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Wed Aug 30 22:33:11 EDT 2023

% Result   : Unsatisfiable 8.11s 1.64s
% Output   : CNFRefutation 8.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   32 (  14 unt;   3 nHn;  32 RR)
%            Number of literals    :   65 (   0 equ;  33 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-1 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

cnf(c_50,plain,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(c_51,plain,
    defined(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).

cnf(c_52,plain,
    defined(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).

cnf(c_55,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).

cnf(c_56,negated_conjecture,
    ~ sum(additive_identity,d,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_8) ).

cnf(c_57,negated_conjecture,
    product(a,multiplicative_inverse(b),s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_9) ).

cnf(c_58,negated_conjecture,
    product(c,multiplicative_inverse(d),s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_10) ).

cnf(c_59,negated_conjecture,
    product(a,d,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_11) ).

cnf(c_60,negated_conjecture,
    ~ product(b,c,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_12) ).

cnf(c_67,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ product(X3,X5,X1)
    | product(X4,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).

cnf(c_68,plain,
    ( ~ defined(X0)
    | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

cnf(c_69,plain,
    ( ~ defined(X0)
    | product(multiplicative_inverse(X0),X0,multiplicative_identity)
    | sum(additive_identity,X0,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).

cnf(c_70,plain,
    ( ~ product(X0,X1,X2)
    | product(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).

cnf(c_284,plain,
    ( ~ product(a,d,k)
    | product(d,a,k) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_362,plain,
    ( ~ product(X0,X1,a)
    | ~ product(d,X0,X2)
    | ~ product(d,a,k)
    | product(X2,X1,k) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_636,plain,
    ( ~ defined(X0)
    | product(X0,multiplicative_identity,X0) ),
    inference(superposition,[status(thm)],[c_68,c_70]) ).

cnf(c_2724,plain,
    ( ~ product(multiplicative_inverse(b),X0,X1)
    | ~ product(a,X1,X2)
    | product(s,X0,X2) ),
    inference(superposition,[status(thm)],[c_57,c_67]) ).

cnf(c_2725,plain,
    ( ~ product(multiplicative_inverse(d),X0,X1)
    | ~ product(c,X1,X2)
    | product(s,X0,X2) ),
    inference(superposition,[status(thm)],[c_58,c_67]) ).

cnf(c_5879,plain,
    ( ~ product(a,multiplicative_identity,X0)
    | ~ defined(b)
    | product(s,b,X0)
    | sum(additive_identity,b,additive_identity) ),
    inference(superposition,[status(thm)],[c_69,c_2724]) ).

cnf(c_5890,plain,
    ( ~ product(a,multiplicative_identity,X0)
    | product(s,b,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5879,c_55,c_50]) ).

cnf(c_6043,plain,
    ( ~ defined(a)
    | product(s,b,a) ),
    inference(superposition,[status(thm)],[c_636,c_5890]) ).

cnf(c_6047,plain,
    product(s,b,a),
    inference(forward_subsumption_resolution,[status(thm)],[c_6043,c_49]) ).

cnf(c_6228,plain,
    ( ~ product(c,multiplicative_identity,X0)
    | ~ defined(d)
    | product(s,d,X0)
    | sum(additive_identity,d,additive_identity) ),
    inference(superposition,[status(thm)],[c_69,c_2725]) ).

cnf(c_6239,plain,
    ( ~ product(c,multiplicative_identity,X0)
    | product(s,d,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6228,c_56,c_52]) ).

cnf(c_6553,plain,
    ( ~ defined(c)
    | product(s,d,c) ),
    inference(superposition,[status(thm)],[c_636,c_6239]) ).

cnf(c_6557,plain,
    product(s,d,c),
    inference(forward_subsumption_resolution,[status(thm)],[c_6553,c_51]) ).

cnf(c_8030,plain,
    product(d,s,c),
    inference(superposition,[status(thm)],[c_6557,c_70]) ).

cnf(c_15762,plain,
    ( ~ product(d,s,X0)
    | ~ product(d,a,k)
    | ~ product(s,b,a)
    | product(X0,b,k) ),
    inference(instantiation,[status(thm)],[c_362]) ).

cnf(c_28788,plain,
    ( ~ product(d,a,k)
    | ~ product(d,s,c)
    | ~ product(s,b,a)
    | product(c,b,k) ),
    inference(instantiation,[status(thm)],[c_15762]) ).

cnf(c_38232,plain,
    ( ~ product(c,b,k)
    | product(b,c,k) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_38233,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_38232,c_28788,c_8030,c_6047,c_284,c_60,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.17  % Problem  : FLD049-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.18/0.18  % Command  : run_iprover %s %d THM
% 0.19/0.40  % Computer : n023.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit : 300
% 0.19/0.41  % WCLimit  : 300
% 0.19/0.41  % DateTime : Mon Aug 28 00:28:56 EDT 2023
% 0.19/0.41  % CPUTime  : 
% 0.27/0.49  Running first-order theorem proving
% 0.27/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.11/1.64  % SZS status Started for theBenchmark.p
% 8.11/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.64  
% 8.11/1.64  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.11/1.64  
% 8.11/1.64  ------  iProver source info
% 8.11/1.64  
% 8.11/1.64  git: date: 2023-05-31 18:12:56 +0000
% 8.11/1.64  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.11/1.64  git: non_committed_changes: false
% 8.11/1.64  git: last_make_outside_of_git: false
% 8.11/1.64  
% 8.11/1.64  ------ Parsing...successful
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.11/1.64  
% 8.11/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.11/1.64  ------ Proving...
% 8.11/1.64  ------ Problem Properties 
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  clauses                                 38
% 8.11/1.64  conjectures                             6
% 8.11/1.64  EPR                                     28
% 8.11/1.64  Horn                                    35
% 8.11/1.64  unary                                   15
% 8.11/1.64  binary                                  6
% 8.11/1.64  lits                                    89
% 8.11/1.64  lits eq                                 0
% 8.11/1.64  fd_pure                                 0
% 8.11/1.64  fd_pseudo                               0
% 8.11/1.64  fd_cond                                 0
% 8.11/1.64  fd_pseudo_cond                          0
% 8.11/1.64  AC symbols                              0
% 8.11/1.64  
% 8.11/1.64  ------ Schedule dynamic 5 is on 
% 8.11/1.64  
% 8.11/1.64  ------ no equalities: superposition off 
% 8.11/1.64  
% 8.11/1.64  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  ------ 
% 8.11/1.64  Current options:
% 8.11/1.64  ------ 
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  ------ Proving...
% 8.11/1.64  
% 8.11/1.64  
% 8.11/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.64  
% 8.11/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.11/1.64  
% 8.11/1.64  
%------------------------------------------------------------------------------