TSTP Solution File: SYN074-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN074-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri May  3 03:29:09 EDT 2024

% Result   : Unsatisfiable 2.29s 1.20s
% Output   : CNFRefutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   22 (   4 unt;   9 nHn;  14 RR)
%            Number of literals    :   46 (  30 equ;  19 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   2 sgn)

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

cnf(c_50,plain,
    ( ~ big_f(X0,X1)
    | X1 = b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,plain,
    ( X0 != a
    | X1 != b
    | big_f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(c_56,negated_conjecture,
    ( g(X0) != X1
    | f(X0) = X0
    | big_f(f(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(c_58,negated_conjecture,
    ( f(X0) != X0
    | h(X0,X1) = X1
    | big_f(f(X0),h(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

cnf(c_59,negated_conjecture,
    ( h(X0,X1) != X1
    | f(X0) != X0
    | ~ big_f(f(X0),h(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).

cnf(c_60,plain,
    big_f(a,b),
    inference(unflattening,[status(thm)],[c_51]) ).

cnf(c_61,negated_conjecture,
    ( f(X0) = X0
    | big_f(f(X0),g(X0)) ),
    inference(unflattening,[status(thm)],[c_56]) ).

cnf(c_196,negated_conjecture,
    ( f(X0) = X0
    | big_f(f(X0),g(X0)) ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_197,negated_conjecture,
    ( h(X0,X1) != X1
    | f(X0) != X0
    | ~ big_f(f(X0),h(X0,X1)) ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_198,negated_conjecture,
    ( f(X0) != X0
    | h(X0,X1) = X1
    | big_f(f(X0),h(X0,X1)) ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_425,plain,
    ( f(X0) = X0
    | f(X0) = a ),
    inference(superposition,[status(thm)],[c_196,c_49]) ).

cnf(c_463,plain,
    ( X0 != a
    | f(X0) = a ),
    inference(equality_factoring,[status(thm)],[c_425]) ).

cnf(c_528,plain,
    f(a) = a,
    inference(equality_resolution,[status(thm)],[c_463]) ).

cnf(c_531,plain,
    ( h(a,X0) = X0
    | big_f(f(a),h(a,X0)) ),
    inference(superposition,[status(thm)],[c_528,c_198]) ).

cnf(c_535,plain,
    ( h(a,X0) = X0
    | big_f(a,h(a,X0)) ),
    inference(light_normalisation,[status(thm)],[c_531,c_528]) ).

cnf(c_758,plain,
    ( h(a,X0) = X0
    | h(a,X0) = b ),
    inference(superposition,[status(thm)],[c_535,c_50]) ).

cnf(c_791,plain,
    ( X0 != b
    | h(a,X0) = b ),
    inference(equality_factoring,[status(thm)],[c_758]) ).

cnf(c_895,plain,
    h(a,b) = b,
    inference(equality_resolution,[status(thm)],[c_791]) ).

cnf(c_897,plain,
    ( f(a) != a
    | ~ big_f(f(a),h(a,b)) ),
    inference(superposition,[status(thm)],[c_895,c_197]) ).

cnf(c_903,plain,
    ( f(a) != a
    | ~ big_f(a,b) ),
    inference(light_normalisation,[status(thm)],[c_897,c_528,c_895]) ).

cnf(c_904,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_903,c_60,c_528]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN074-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 21:38:15 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
% 2.29/1.20  % SZS status Started for theBenchmark.p
% 2.29/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 2.29/1.20  
% 2.29/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.29/1.20  
% 2.29/1.20  ------  iProver source info
% 2.29/1.20  
% 2.29/1.20  git: date: 2024-05-02 19:28:25 +0000
% 2.29/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.29/1.20  git: non_committed_changes: false
% 2.29/1.20  
% 2.29/1.20  ------ Parsing...successful
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.29/1.20  
% 2.29/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.29/1.20  
% 2.29/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.29/1.20  ------ Proving...
% 2.29/1.20  ------ Problem Properties 
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  clauses                                 11
% 2.29/1.20  conjectures                             8
% 2.29/1.20  EPR                                     3
% 2.29/1.20  Horn                                    6
% 2.29/1.20  unary                                   1
% 2.29/1.20  binary                                  3
% 2.29/1.20  lits                                    30
% 2.29/1.20  lits eq                                 15
% 2.29/1.20  fd_pure                                 0
% 2.29/1.20  fd_pseudo                               0
% 2.29/1.20  fd_cond                                 2
% 2.29/1.20  fd_pseudo_cond                          1
% 2.29/1.20  AC symbols                              0
% 2.29/1.20  
% 2.29/1.20  ------ Schedule dynamic 5 is on 
% 2.29/1.20  
% 2.29/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  ------ 
% 2.29/1.20  Current options:
% 2.29/1.20  ------ 
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  ------ Proving...
% 2.29/1.20  
% 2.29/1.20  
% 2.29/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 2.29/1.20  
% 2.29/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.29/1.21  
% 2.29/1.21  
%------------------------------------------------------------------------------