TSTP Solution File: FLD023-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 22:32:57 EDT 2023

% Result   : Unsatisfiable 2.79s 1.15s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   4 unt;   0 nHn;  19 RR)
%            Number of literals    :   41 (   0 equ;  23 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

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

cnf(c_51,negated_conjecture,
    equalish(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_3) ).

cnf(c_52,negated_conjecture,
    ~ equalish(additive_identity,add(b,additive_inverse(a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity_not_equal_to_add_4) ).

cnf(c_55,plain,
    ( ~ defined(X0)
    | equalish(add(X0,additive_inverse(X0)),additive_identity) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).

cnf(c_64,plain,
    ( ~ defined(X0)
    | defined(additive_inverse(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).

cnf(c_74,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_75,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(c_76,plain,
    ( ~ equalish(X0,X1)
    | ~ defined(X2)
    | equalish(add(X0,X2),add(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).

cnf(c_252,plain,
    ( ~ equalish(add(b,additive_inverse(a)),additive_identity)
    | equalish(additive_identity,add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_262,plain,
    ( ~ equalish(add(b,additive_inverse(a)),X0)
    | ~ equalish(X0,additive_identity)
    | equalish(add(b,additive_inverse(a)),additive_identity) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_277,plain,
    ( ~ equalish(X0,b)
    | ~ defined(additive_inverse(a))
    | equalish(add(X0,additive_inverse(a)),add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_309,plain,
    ( ~ defined(a)
    | defined(additive_inverse(a)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_319,plain,
    ( ~ equalish(X0,add(b,additive_inverse(a)))
    | equalish(add(b,additive_inverse(a)),X0) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_321,plain,
    ( ~ equalish(add(b,additive_inverse(a)),add(X0,additive_inverse(a)))
    | ~ equalish(add(X0,additive_inverse(a)),additive_identity)
    | equalish(add(b,additive_inverse(a)),additive_identity) ),
    inference(instantiation,[status(thm)],[c_262]) ).

cnf(c_437,plain,
    ( ~ defined(additive_inverse(a))
    | ~ equalish(a,b)
    | equalish(add(a,additive_inverse(a)),add(b,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_277]) ).

cnf(c_717,plain,
    ( ~ equalish(add(b,additive_inverse(a)),add(a,additive_inverse(a)))
    | ~ equalish(add(a,additive_inverse(a)),additive_identity)
    | equalish(add(b,additive_inverse(a)),additive_identity) ),
    inference(instantiation,[status(thm)],[c_321]) ).

cnf(c_718,plain,
    ( ~ defined(a)
    | equalish(add(a,additive_inverse(a)),additive_identity) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_1249,plain,
    ( ~ equalish(add(a,additive_inverse(a)),add(b,additive_inverse(a)))
    | equalish(add(b,additive_inverse(a)),add(a,additive_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_319]) ).

cnf(c_1254,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1249,c_718,c_717,c_437,c_309,c_252,c_52,c_51,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 00:46:44 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.79/1.15  % SZS status Started for theBenchmark.p
% 2.79/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.15  
% 2.79/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.79/1.15  
% 2.79/1.15  ------  iProver source info
% 2.79/1.15  
% 2.79/1.15  git: date: 2023-05-31 18:12:56 +0000
% 2.79/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.79/1.15  git: non_committed_changes: false
% 2.79/1.15  git: last_make_outside_of_git: false
% 2.79/1.15  
% 2.79/1.15  ------ Parsing...successful
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.79/1.15  
% 2.79/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.79/1.15  ------ Proving...
% 2.79/1.15  ------ Problem Properties 
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  clauses                                 31
% 2.79/1.15  conjectures                             2
% 2.79/1.15  EPR                                     13
% 2.79/1.15  Horn                                    28
% 2.79/1.15  unary                                   7
% 2.79/1.15  binary                                  6
% 2.79/1.15  lits                                    77
% 2.79/1.15  lits eq                                 0
% 2.79/1.15  fd_pure                                 0
% 2.79/1.15  fd_pseudo                               0
% 2.79/1.15  fd_cond                                 0
% 2.79/1.15  fd_pseudo_cond                          0
% 2.79/1.15  AC symbols                              0
% 2.79/1.15  
% 2.79/1.15  ------ Schedule dynamic 5 is on 
% 2.79/1.15  
% 2.79/1.15  ------ no equalities: superposition off 
% 2.79/1.15  
% 2.79/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  ------ 
% 2.79/1.15  Current options:
% 2.79/1.15  ------ 
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  ------ Proving...
% 2.79/1.15  
% 2.79/1.15  
% 2.79/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.15  
% 2.79/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.15  
% 2.79/1.15  
%------------------------------------------------------------------------------