TSTP Solution File: SYN571-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN571-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 03:31:37 EDT 2024

% Result   : Unsatisfiable 9.89s 2.19s
% Output   : CNFRefutation 9.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   32 (  14 unt;   0 nHn;  25 RR)
%            Number of literals    :   68 (   0 equ;  38 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   46 (   2 sgn)

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

cnf(c_51,negated_conjecture,
    p11(f5(X0),c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).

cnf(c_54,negated_conjecture,
    ~ p11(X0,f3(X0,f5(f6(f7(c12))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_6) ).

cnf(c_55,negated_conjecture,
    ( ~ p11(f5(f10(X0)),X0)
    | p11(c14,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

cnf(c_60,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

cnf(c_62,negated_conjecture,
    p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

cnf(c_63,negated_conjecture,
    ( ~ p11(f9(X0,X1),X2)
    | p11(X0,f3(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).

cnf(c_65,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p11(X0,X2)
    | p11(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).

cnf(c_69,plain,
    p2(c14,c14),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_78,plain,
    ~ p11(c14,f3(c14,f5(f6(f7(c12))))),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_170,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_65]) ).

cnf(c_172,negated_conjecture,
    ( ~ p11(f9(X0_13,X1_13),X2_13)
    | p11(X0_13,f3(X2_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_63]) ).

cnf(c_173,negated_conjecture,
    p2(f9(f5(X0_14),f5(X1_14)),f5(f8(X0_14,X1_14))),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_175,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X0_13,X2_13)
    | p2(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_180,negated_conjecture,
    ( ~ p11(f5(f10(X0_13)),X0_13)
    | p11(c14,X0_13) ),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_184,negated_conjecture,
    p11(f5(X0_14),c14),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_185,negated_conjecture,
    p2(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_195,plain,
    ( ~ p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12)))))
    | p11(c14,f3(c14,f5(f6(f7(c12))))) ),
    inference(instantiation,[status(thm)],[c_180]) ).

cnf(c_203,plain,
    ( ~ p2(X0_13,f9(X1_13,X2_13))
    | ~ p2(X3_13,X4_13)
    | ~ p11(X0_13,X3_13)
    | p11(f9(X1_13,X2_13),X4_13) ),
    inference(instantiation,[status(thm)],[c_170]) ).

cnf(c_219,plain,
    ( ~ p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14)
    | p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12))))) ),
    inference(instantiation,[status(thm)],[c_172]) ).

cnf(c_241,plain,
    ( ~ p2(X0_13,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p11(X0_13,X1_13)
    | ~ p2(X1_13,c14)
    | p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14) ),
    inference(instantiation,[status(thm)],[c_203]) ).

cnf(c_313,plain,
    ( ~ p2(X0_13,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p2(X0_13,X1_13)
    | p2(X1_13,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
    inference(instantiation,[status(thm)],[c_175]) ).

cnf(c_418,plain,
    ( ~ p2(f9(X0_13,X1_13),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p2(f9(X0_13,X1_13),X2_13)
    | p2(X2_13,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
    inference(instantiation,[status(thm)],[c_313]) ).

cnf(c_755,plain,
    ( ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),X0_13)
    | p2(X0_13,f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
    inference(instantiation,[status(thm)],[c_418]) ).

cnf(c_905,plain,
    p2(f9(X0_13,f5(f6(f7(c12)))),f9(X0_13,f5(f6(f7(c12))))),
    inference(instantiation,[status(thm)],[c_185]) ).

cnf(c_1231,plain,
    p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))),
    inference(instantiation,[status(thm)],[c_905]) ).

cnf(c_1962,plain,
    ( ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))))
    | p2(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12))))) ),
    inference(instantiation,[status(thm)],[c_755]) ).

cnf(c_2325,plain,
    p2(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12))))),
    inference(instantiation,[status(thm)],[c_173]) ).

cnf(c_5300,plain,
    ( ~ p2(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p11(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),X0_13)
    | ~ p2(X0_13,c14)
    | p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14) ),
    inference(instantiation,[status(thm)],[c_241]) ).

cnf(c_5301,plain,
    ( ~ p2(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))))
    | ~ p11(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),c14)
    | ~ p2(c14,c14)
    | p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14) ),
    inference(instantiation,[status(thm)],[c_5300]) ).

cnf(c_29785,plain,
    p11(f5(f8(f10(f3(c14,f5(f6(f7(c12))))),f6(f7(c12)))),c14),
    inference(instantiation,[status(thm)],[c_184]) ).

cnf(c_29786,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_29785,c_5301,c_2325,c_1962,c_1231,c_219,c_195,c_78,c_69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN571-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 21:00:20 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 9.89/2.19  % SZS status Started for theBenchmark.p
% 9.89/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 9.89/2.19  
% 9.89/2.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.89/2.19  
% 9.89/2.19  ------  iProver source info
% 9.89/2.19  
% 9.89/2.19  git: date: 2024-05-02 19:28:25 +0000
% 9.89/2.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.89/2.19  git: non_committed_changes: false
% 9.89/2.19  
% 9.89/2.19  ------ Parsing...successful
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.89/2.19  
% 9.89/2.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.89/2.19  ------ Proving...
% 9.89/2.19  ------ Problem Properties 
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  clauses                                 20
% 9.89/2.19  conjectures                             20
% 9.89/2.19  EPR                                     6
% 9.89/2.19  Horn                                    19
% 9.89/2.19  unary                                   6
% 9.89/2.19  binary                                  8
% 9.89/2.19  lits                                    41
% 9.89/2.19  lits eq                                 0
% 9.89/2.19  fd_pure                                 0
% 9.89/2.19  fd_pseudo                               0
% 9.89/2.19  fd_cond                                 0
% 9.89/2.19  fd_pseudo_cond                          0
% 9.89/2.19  AC symbols                              0
% 9.89/2.19  
% 9.89/2.19  ------ Input Options Time Limit: Unbounded
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  ------ 
% 9.89/2.19  Current options:
% 9.89/2.19  ------ 
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  ------ Proving...
% 9.89/2.19  
% 9.89/2.19  
% 9.89/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 9.89/2.19  
% 9.89/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.89/2.19  
% 9.89/2.19  
%------------------------------------------------------------------------------