TSTP Solution File: SYN069-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 Sep  1 03:05:06 EDT 2023

% Result   : Unsatisfiable 0.79s 1.22s
% Output   : CNFRefutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (   4 unt;   4 nHn;  20 RR)
%            Number of literals    :   56 (   0 equ;  36 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ big_h(X0,X1)
    | ~ big_f(X0)
    | ~ big_g(X1)
    | big_g(f(X0))
    | big_k(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,plain,
    ( ~ big_h(X0,X1)
    | ~ big_f(X0)
    | ~ big_g(X1)
    | big_h(X0,f(X0))
    | big_k(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,plain,
    ( ~ big_j(X0,f(X0))
    | ~ big_h(X0,X1)
    | ~ big_f(X0)
    | ~ big_g(X1)
    | big_k(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,plain,
    ( ~ big_k(X0)
    | ~ big_l(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,plain,
    big_f(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(c_54,plain,
    ( ~ big_h(a,X0)
    | big_l(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(c_55,plain,
    ( ~ big_h(a,X0)
    | ~ big_g(X0)
    | big_j(a,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(c_56,negated_conjecture,
    ( ~ big_f(X0)
    | big_g(g(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(c_57,negated_conjecture,
    ( ~ big_f(X0)
    | big_h(X0,g(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

cnf(c_61,plain,
    ( ~ big_f(a)
    | big_h(a,g(a)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_120,plain,
    ( ~ big_h(a,X0)
    | ~ big_k(X0) ),
    inference(resolution,[status(thm)],[c_54,c_52]) ).

cnf(c_130,plain,
    ( ~ big_h(a,f(a))
    | ~ big_h(a,X0)
    | ~ big_g(f(a))
    | ~ big_g(X0)
    | ~ big_f(a)
    | big_k(X0) ),
    inference(resolution,[status(thm)],[c_51,c_55]) ).

cnf(c_155,plain,
    big_g(g(a)),
    inference(resolution,[status(thm)],[c_56,c_53]) ).

cnf(c_159,plain,
    ( ~ big_h(a,X0)
    | ~ big_g(X0)
    | big_h(a,f(a))
    | big_k(X0) ),
    inference(resolution,[status(thm)],[c_50,c_53]) ).

cnf(c_161,plain,
    ( big_h(a,f(a))
    | ~ big_g(X0)
    | ~ big_h(a,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_159,c_120,c_159]) ).

cnf(c_162,plain,
    ( ~ big_h(a,X0)
    | ~ big_g(X0)
    | big_h(a,f(a)) ),
    inference(renaming,[status(thm)],[c_161]) ).

cnf(c_173,plain,
    ( ~ big_h(a,X0)
    | ~ big_g(X0)
    | big_g(f(a))
    | big_k(X0) ),
    inference(resolution,[status(thm)],[c_49,c_53]) ).

cnf(c_175,plain,
    ( ~ big_h(a,X0)
    | ~ big_g(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_53,c_120,c_130,c_162,c_173]) ).

cnf(c_188,plain,
    ~ big_h(a,g(a)),
    inference(resolution,[status(thm)],[c_175,c_155]) ).

cnf(c_189,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_188,c_61,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command  : run_iprover %s %d THM
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sat Aug 26 18:51:27 EDT 2023
% 0.23/0.37  % CPUTime  : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.79/1.22  % SZS status Started for theBenchmark.p
% 0.79/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 0.79/1.22  
% 0.79/1.22  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.79/1.22  
% 0.79/1.22  ------  iProver source info
% 0.79/1.22  
% 0.79/1.22  git: date: 2023-05-31 18:12:56 +0000
% 0.79/1.22  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.79/1.22  git: non_committed_changes: false
% 0.79/1.22  git: last_make_outside_of_git: false
% 0.79/1.22  
% 0.79/1.22  ------ Parsing...successful
% 0.79/1.22  
% 0.79/1.22  
% 0.79/1.22  
% 0.79/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s
% 0.79/1.22  
% 0.79/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 0.79/1.22  
% 0.79/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.79/1.22  
% 0.79/1.22  
%------------------------------------------------------------------------------