TSTP Solution File: FLD071-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 22:33:25 EDT 2023

% Result   : Unsatisfiable 2.58s 1.19s
% Output   : CNFRefutation 2.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   27 (  10 unt;   2 nHn;  27 RR)
%            Number of literals    :   59 (   0 equ;  31 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    defined(u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).

cnf(c_52,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

cnf(c_53,negated_conjecture,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).

cnf(c_54,negated_conjecture,
    equalish(multiply(a,b),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_u_6) ).

cnf(c_55,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).

cnf(c_66,plain,
    defined(additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).

cnf(c_71,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ less_or_equal(X1,X0)
    | equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).

cnf(c_73,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | less_or_equal(X0,X1)
    | less_or_equal(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).

cnf(c_75,plain,
    ( ~ less_or_equal(additive_identity,X0)
    | ~ less_or_equal(additive_identity,X1)
    | less_or_equal(additive_identity,multiply(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_multiplication) ).

cnf(c_77,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_78,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(c_81,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ equalish(X0,X2)
    | less_or_equal(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).

cnf(c_266,plain,
    ( ~ less_or_equal(X0,u)
    | ~ equalish(X0,additive_identity)
    | less_or_equal(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_267,plain,
    ( ~ defined(X0)
    | ~ defined(u)
    | less_or_equal(X0,u)
    | less_or_equal(u,X0) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_289,plain,
    ( ~ defined(u)
    | less_or_equal(u,u) ),
    inference(instantiation,[status(thm)],[c_267]) ).

cnf(c_290,plain,
    ( ~ less_or_equal(u,u)
    | ~ equalish(u,additive_identity)
    | less_or_equal(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_266]) ).

cnf(c_350,plain,
    ( ~ equalish(additive_identity,u)
    | equalish(u,additive_identity) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_501,plain,
    ( ~ equalish(X0,u)
    | ~ equalish(additive_identity,X0)
    | equalish(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_582,plain,
    equalish(u,multiply(a,b)),
    inference(superposition,[status(thm)],[c_54,c_77]) ).

cnf(c_1349,plain,
    ( ~ equalish(multiply(a,b),u)
    | ~ equalish(additive_identity,multiply(a,b))
    | equalish(additive_identity,u) ),
    inference(instantiation,[status(thm)],[c_501]) ).

cnf(c_1963,plain,
    ( ~ defined(u)
    | ~ defined(additive_identity)
    | less_or_equal(u,additive_identity) ),
    inference(superposition,[status(thm)],[c_73,c_55]) ).

cnf(c_1975,plain,
    less_or_equal(u,additive_identity),
    inference(forward_subsumption_resolution,[status(thm)],[c_1963,c_66,c_51]) ).

cnf(c_2162,plain,
    ( ~ equalish(u,X0)
    | less_or_equal(X0,additive_identity) ),
    inference(superposition,[status(thm)],[c_1975,c_81]) ).

cnf(c_3590,plain,
    ( ~ less_or_equal(multiply(a,b),additive_identity)
    | ~ less_or_equal(additive_identity,multiply(a,b))
    | equalish(additive_identity,multiply(a,b)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_4356,plain,
    less_or_equal(multiply(a,b),additive_identity),
    inference(superposition,[status(thm)],[c_582,c_2162]) ).

cnf(c_9209,plain,
    ( ~ less_or_equal(additive_identity,a)
    | ~ less_or_equal(additive_identity,b)
    | less_or_equal(additive_identity,multiply(a,b)) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_9210,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9209,c_4356,c_3590,c_1349,c_350,c_290,c_289,c_54,c_55,c_52,c_53,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD071-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.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 : Mon Aug 28 00:42:07 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.58/1.19  % SZS status Started for theBenchmark.p
% 2.58/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.58/1.19  
% 2.58/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.58/1.19  
% 2.58/1.19  ------  iProver source info
% 2.58/1.19  
% 2.58/1.19  git: date: 2023-05-31 18:12:56 +0000
% 2.58/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.58/1.19  git: non_committed_changes: false
% 2.58/1.19  git: last_make_outside_of_git: false
% 2.58/1.19  
% 2.58/1.19  ------ Parsing...successful
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.58/1.19  
% 2.58/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.58/1.19  ------ Proving...
% 2.58/1.19  ------ Problem Properties 
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  clauses                                 34
% 2.58/1.19  conjectures                             4
% 2.58/1.19  EPR                                     16
% 2.58/1.19  Horn                                    31
% 2.58/1.19  unary                                   10
% 2.58/1.19  binary                                  6
% 2.58/1.19  lits                                    80
% 2.58/1.19  lits eq                                 0
% 2.58/1.19  fd_pure                                 0
% 2.58/1.19  fd_pseudo                               0
% 2.58/1.19  fd_cond                                 0
% 2.58/1.19  fd_pseudo_cond                          0
% 2.58/1.19  AC symbols                              0
% 2.58/1.19  
% 2.58/1.19  ------ Schedule dynamic 5 is on 
% 2.58/1.19  
% 2.58/1.19  ------ no equalities: superposition off 
% 2.58/1.19  
% 2.58/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  ------ 
% 2.58/1.19  Current options:
% 2.58/1.19  ------ 
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  ------ Proving...
% 2.58/1.19  
% 2.58/1.19  
% 2.58/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.58/1.19  
% 2.58/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.58/1.19  
% 2.58/1.19  
%------------------------------------------------------------------------------