TSTP Solution File: FLD025-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 22:32:58 EDT 2023

% Result   : Unsatisfiable 6.75s 1.53s
% Output   : CNFRefutation 6.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (   8 unt;   0 nHn;  32 RR)
%            Number of literals    :   76 (   0 equ;  45 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

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

cnf(c_55,negated_conjecture,
    equalish(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_7) ).

cnf(c_56,negated_conjecture,
    equalish(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_8) ).

cnf(c_57,negated_conjecture,
    equalish(multiply(a,c),u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_u_9) ).

cnf(c_58,negated_conjecture,
    equalish(multiply(d,b),v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_v_10) ).

cnf(c_59,negated_conjecture,
    ~ equalish(v,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_equal_to_u_11) ).

cnf(c_67,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | equalish(multiply(X0,X1),multiply(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).

cnf(c_81,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_82,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(c_84,plain,
    ( ~ equalish(X0,X1)
    | ~ defined(X2)
    | equalish(multiply(X0,X2),multiply(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).

cnf(c_273,plain,
    ( ~ equalish(u,v)
    | equalish(v,u) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_282,plain,
    ( ~ equalish(X0,v)
    | ~ equalish(u,X0)
    | equalish(u,v) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_344,plain,
    ( ~ equalish(X0,u)
    | equalish(u,X0) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_346,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(u,X0)
    | equalish(u,X1) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_352,plain,
    ( ~ equalish(multiply(d,b),v)
    | ~ equalish(u,multiply(d,b))
    | equalish(u,v) ),
    inference(instantiation,[status(thm)],[c_282]) ).

cnf(c_560,plain,
    ( ~ equalish(X0,multiply(d,b))
    | ~ equalish(u,X0)
    | equalish(u,multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_346]) ).

cnf(c_600,plain,
    ( ~ equalish(multiply(a,c),u)
    | equalish(u,multiply(a,c)) ),
    inference(instantiation,[status(thm)],[c_344]) ).

cnf(c_1205,plain,
    ( ~ equalish(multiply(a,c),X0)
    | ~ equalish(u,multiply(a,c))
    | equalish(u,X0) ),
    inference(instantiation,[status(thm)],[c_346]) ).

cnf(c_1352,plain,
    ( ~ equalish(X0,multiply(d,b))
    | ~ equalish(X1,X0)
    | equalish(X1,multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_1354,plain,
    ( ~ equalish(X0,d)
    | ~ defined(b)
    | equalish(multiply(X0,b),multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_3586,plain,
    ( ~ equalish(multiply(a,c),multiply(X0,c))
    | ~ equalish(u,multiply(a,c))
    | equalish(u,multiply(X0,c)) ),
    inference(instantiation,[status(thm)],[c_1205]) ).

cnf(c_3587,plain,
    ( ~ equalish(a,X0)
    | ~ defined(c)
    | equalish(multiply(a,c),multiply(X0,c)) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_3667,plain,
    ( ~ equalish(c,d)
    | ~ defined(b)
    | equalish(multiply(c,b),multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_1354]) ).

cnf(c_4724,plain,
    ( ~ equalish(multiply(X0,c),multiply(d,b))
    | ~ equalish(u,multiply(X0,c))
    | equalish(u,multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_560]) ).

cnf(c_8852,plain,
    ( ~ equalish(multiply(c,b),multiply(d,b))
    | ~ equalish(X0,multiply(c,b))
    | equalish(X0,multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_1352]) ).

cnf(c_18842,plain,
    ( ~ equalish(multiply(b,c),multiply(c,b))
    | ~ equalish(multiply(c,b),multiply(d,b))
    | equalish(multiply(b,c),multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_8852]) ).

cnf(c_18843,plain,
    ( ~ defined(b)
    | ~ defined(c)
    | equalish(multiply(b,c),multiply(c,b)) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_21766,plain,
    ( ~ equalish(a,b)
    | ~ defined(c)
    | equalish(multiply(a,c),multiply(b,c)) ),
    inference(instantiation,[status(thm)],[c_3587]) ).

cnf(c_25329,plain,
    ( ~ equalish(multiply(a,c),multiply(b,c))
    | ~ equalish(u,multiply(a,c))
    | equalish(u,multiply(b,c)) ),
    inference(instantiation,[status(thm)],[c_3586]) ).

cnf(c_26439,plain,
    ( ~ equalish(multiply(b,c),multiply(d,b))
    | ~ equalish(u,multiply(b,c))
    | equalish(u,multiply(d,b)) ),
    inference(instantiation,[status(thm)],[c_4724]) ).

cnf(c_26440,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_26439,c_25329,c_21766,c_18843,c_18842,c_3667,c_600,c_352,c_273,c_57,c_58,c_59,c_55,c_56,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Mon Aug 28 00:46:00 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.16/0.39  Running first-order theorem proving
% 0.16/0.39  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.75/1.53  % SZS status Started for theBenchmark.p
% 6.75/1.53  % SZS status Unsatisfiable for theBenchmark.p
% 6.75/1.53  
% 6.75/1.53  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.75/1.53  
% 6.75/1.53  ------  iProver source info
% 6.75/1.53  
% 6.75/1.53  git: date: 2023-05-31 18:12:56 +0000
% 6.75/1.53  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.75/1.53  git: non_committed_changes: false
% 6.75/1.53  git: last_make_outside_of_git: false
% 6.75/1.53  
% 6.75/1.53  ------ Parsing...successful
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 6.75/1.53  
% 6.75/1.53  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.75/1.53  ------ Proving...
% 6.75/1.53  ------ Problem Properties 
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  clauses                                 38
% 6.75/1.53  conjectures                             5
% 6.75/1.53  EPR                                     19
% 6.75/1.53  Horn                                    35
% 6.75/1.53  unary                                   14
% 6.75/1.53  binary                                  6
% 6.75/1.53  lits                                    84
% 6.75/1.53  lits eq                                 0
% 6.75/1.53  fd_pure                                 0
% 6.75/1.53  fd_pseudo                               0
% 6.75/1.53  fd_cond                                 0
% 6.75/1.53  fd_pseudo_cond                          0
% 6.75/1.53  AC symbols                              0
% 6.75/1.53  
% 6.75/1.53  ------ Schedule dynamic 5 is on 
% 6.75/1.53  
% 6.75/1.53  ------ no equalities: superposition off 
% 6.75/1.53  
% 6.75/1.53  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  ------ 
% 6.75/1.53  Current options:
% 6.75/1.53  ------ 
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  ------ Proving...
% 6.75/1.53  
% 6.75/1.53  
% 6.75/1.53  % SZS status Unsatisfiable for theBenchmark.p
% 6.75/1.53  
% 6.75/1.53  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.75/1.53  
% 6.75/1.53  
%------------------------------------------------------------------------------