TSTP Solution File: FLD058-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD058-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 22:33:16 EDT 2023

% Result   : Unsatisfiable 0.43s 1.12s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (   7 unt;   1 nHn;  18 RR)
%            Number of literals    :   39 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).

cnf(c_52,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).

cnf(c_53,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).

cnf(c_54,negated_conjecture,
    equalish(b,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_additive_identity_6) ).

cnf(c_65,plain,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).

cnf(c_70,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ less_or_equal(X1,X0)
    | equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).

cnf(c_71,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ less_or_equal(X1,X2)
    | less_or_equal(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).

cnf(c_72,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | less_or_equal(X0,X1)
    | less_or_equal(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).

cnf(c_76,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_80,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ equalish(X0,X2)
    | less_or_equal(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).

cnf(c_90,plain,
    ( ~ defined(additive_identity)
    | less_or_equal(additive_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_262,plain,
    ( ~ less_or_equal(a,additive_identity)
    | ~ less_or_equal(additive_identity,a)
    | equalish(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_270,plain,
    ( ~ less_or_equal(X0,additive_identity)
    | ~ less_or_equal(a,X0)
    | less_or_equal(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_309,plain,
    ( ~ less_or_equal(a,b)
    | ~ less_or_equal(b,additive_identity)
    | less_or_equal(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_270]) ).

cnf(c_380,plain,
    ( ~ less_or_equal(X0,additive_identity)
    | ~ equalish(X0,b)
    | less_or_equal(b,additive_identity) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_381,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | ~ equalish(additive_identity,b)
    | less_or_equal(b,additive_identity) ),
    inference(instantiation,[status(thm)],[c_380]) ).

cnf(c_553,plain,
    equalish(additive_identity,b),
    inference(superposition,[status(thm)],[c_54,c_76]) ).

cnf(c_560,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_553,c_381,c_309,c_262,c_90,c_53,c_51,c_52,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : FLD058-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sun Aug 27 23:26:49 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.43/1.12  % SZS status Started for theBenchmark.p
% 0.43/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.12  
% 0.43/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.43/1.12  
% 0.43/1.12  ------  iProver source info
% 0.43/1.12  
% 0.43/1.12  git: date: 2023-05-31 18:12:56 +0000
% 0.43/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.43/1.12  git: non_committed_changes: false
% 0.43/1.12  git: last_make_outside_of_git: false
% 0.43/1.12  
% 0.43/1.12  ------ Parsing...successful
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.43/1.12  
% 0.43/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.43/1.12  ------ Proving...
% 0.43/1.12  ------ Problem Properties 
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  clauses                                 33
% 0.43/1.12  conjectures                             4
% 0.43/1.12  EPR                                     16
% 0.43/1.12  Horn                                    30
% 0.43/1.12  unary                                   9
% 0.43/1.12  binary                                  6
% 0.43/1.12  lits                                    79
% 0.43/1.12  lits eq                                 0
% 0.43/1.12  fd_pure                                 0
% 0.43/1.12  fd_pseudo                               0
% 0.43/1.12  fd_cond                                 0
% 0.43/1.12  fd_pseudo_cond                          0
% 0.43/1.12  AC symbols                              0
% 0.43/1.12  
% 0.43/1.12  ------ Schedule dynamic 5 is on 
% 0.43/1.12  
% 0.43/1.12  ------ no equalities: superposition off 
% 0.43/1.12  
% 0.43/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  ------ 
% 0.43/1.12  Current options:
% 0.43/1.12  ------ 
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  ------ Proving...
% 0.43/1.12  
% 0.43/1.12  
% 0.43/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.12  
% 0.43/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.12  
% 0.43/1.12  
%------------------------------------------------------------------------------