TSTP Solution File: SYN582-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN582-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Fri May  3 03:31:40 EDT 2024

% Result   : Unsatisfiable 2.66s 1.18s
% Output   : CNFRefutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  11 unt;   0 nHn;  21 RR)
%            Number of literals    :   46 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

cnf(c_51,negated_conjecture,
    p5(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).

cnf(c_53,negated_conjecture,
    p2(c13,c18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(c_55,negated_conjecture,
    p11(f4(f6(c15,c13)),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

cnf(c_57,negated_conjecture,
    ~ p11(f4(f6(c15,c18)),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).

cnf(c_62,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f4(X0),f4(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

cnf(c_69,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p11(X0,X2)
    | p11(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).

cnf(c_71,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p5(X2,X3)
    | p2(f6(X2,X0),f6(X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).

cnf(c_74,plain,
    p5(c15,c15),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_295,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p5(X0_15,X1_15)
    | p2(f6(X0_15,X0_13),f6(X1_15,X1_13)) ),
    inference(subtyping,[status(esa)],[c_71]) ).

cnf(c_297,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X2_13,X3_13)
    | ~ p11(X0_13,X2_13)
    | p11(X1_13,X3_13) ),
    inference(subtyping,[status(esa)],[c_69]) ).

cnf(c_303,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | p2(f4(X0_13),f4(X1_13)) ),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_308,negated_conjecture,
    ~ p11(f4(f6(c15,c18)),c16),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_310,negated_conjecture,
    p11(f4(f6(c15,c13)),c16),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_315,negated_conjecture,
    p2(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_436,plain,
    p2(c16,c16),
    inference(instantiation,[status(thm)],[c_315]) ).

cnf(c_485,plain,
    ( ~ p2(X0_13,f4(f6(c15,c18)))
    | ~ p11(X0_13,X1_13)
    | ~ p2(X1_13,c16) ),
    inference(resolution,[status(thm)],[c_297,c_308]) ).

cnf(c_513,plain,
    ( ~ p2(X0_13,f6(c15,c18))
    | p2(f4(X0_13),f4(f6(c15,c18))) ),
    inference(instantiation,[status(thm)],[c_303]) ).

cnf(c_617,plain,
    ( ~ p2(f6(X0_15,X0_13),f6(c15,c18))
    | p2(f4(f6(X0_15,X0_13)),f4(f6(c15,c18))) ),
    inference(instantiation,[status(thm)],[c_513]) ).

cnf(c_618,plain,
    ( ~ p2(X0_13,c18)
    | ~ p5(X0_15,c15)
    | p2(f6(X0_15,X0_13),f6(c15,c18)) ),
    inference(instantiation,[status(thm)],[c_295]) ).

cnf(c_619,plain,
    ( ~ p2(f6(c15,c13),f6(c15,c18))
    | p2(f4(f6(c15,c13)),f4(f6(c15,c18))) ),
    inference(instantiation,[status(thm)],[c_617]) ).

cnf(c_620,plain,
    ( ~ p2(c13,c18)
    | ~ p5(c15,c15)
    | p2(f6(c15,c13),f6(c15,c18)) ),
    inference(instantiation,[status(thm)],[c_618]) ).

cnf(c_885,plain,
    ( ~ p2(f4(f6(c15,c13)),f4(f6(c15,c18)))
    | ~ p2(c16,c16) ),
    inference(resolution,[status(thm)],[c_485,c_310]) ).

cnf(c_886,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_885,c_620,c_619,c_436,c_74,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN582-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:14:48 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.66/1.18  % SZS status Started for theBenchmark.p
% 2.66/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.66/1.18  
% 2.66/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.66/1.18  
% 2.66/1.18  ------  iProver source info
% 2.66/1.18  
% 2.66/1.18  git: date: 2024-05-02 19:28:25 +0000
% 2.66/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.66/1.18  git: non_committed_changes: false
% 2.66/1.18  
% 2.66/1.18  ------ Parsing...successful
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.66/1.18  
% 2.66/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.66/1.18  ------ Proving...
% 2.66/1.18  ------ Problem Properties 
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  clauses                                 23
% 2.66/1.18  conjectures                             23
% 2.66/1.18  EPR                                     13
% 2.66/1.18  Horn                                    22
% 2.66/1.18  unary                                   9
% 2.66/1.18  binary                                  6
% 2.66/1.18  lits                                    48
% 2.66/1.18  lits eq                                 0
% 2.66/1.18  fd_pure                                 0
% 2.66/1.18  fd_pseudo                               0
% 2.66/1.18  fd_cond                                 0
% 2.66/1.18  fd_pseudo_cond                          0
% 2.66/1.18  AC symbols                              0
% 2.66/1.18  
% 2.66/1.18  ------ Input Options Time Limit: Unbounded
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  ------ 
% 2.66/1.18  Current options:
% 2.66/1.18  ------ 
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  ------ Proving...
% 2.66/1.18  
% 2.66/1.18  
% 2.66/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.66/1.18  
% 2.66/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.66/1.18  
% 2.66/1.18  
%------------------------------------------------------------------------------