TSTP Solution File: SYN560-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN560-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:31:33 EDT 2024

% Result   : Unsatisfiable 7.58s 1.65s
% Output   : CNFRefutation 7.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   45 (  10 unt;   2 nHn;  40 RR)
%            Number of literals    :  102 (   0 equ;  67 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(c_50,negated_conjecture,
    ~ p2(c9,f3(c10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_2) ).

cnf(c_52,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(c_56,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

cnf(c_57,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_9) ).

cnf(c_58,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_10) ).

cnf(c_59,negated_conjecture,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_11) ).

cnf(c_60,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p8(X2,X0)
    | p8(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_12) ).

cnf(c_62,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f6(X0,X2),f6(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

cnf(c_63,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).

cnf(c_242,plain,
    p2(f6(c9,f4(c12)),f6(c9,f4(c12))),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_282,plain,
    p2(c9,c9),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_351,plain,
    ( p8(f6(c9,X0),f6(c9,f5(X0,f3(f7(c10)))))
    | p2(c9,f3(c10)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_365,plain,
    ( ~ p8(f6(c9,X0),f6(c9,f5(X0,f3(f7(c10)))))
    | ~ p8(X1,f6(c9,X0))
    | p8(X1,f6(c9,f5(X0,f3(f7(c10))))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_367,plain,
    ( ~ p8(X1,f6(c9,X0))
    | p8(X1,f6(c9,f5(X0,f3(f7(c10))))) ),
    inference(global_subsumption_just,[status(thm)],[c_365,c_50,c_351,c_365]) ).

cnf(c_368,plain,
    ( ~ p8(X0,f6(c9,X1))
    | p8(X0,f6(c9,f5(X1,f3(f7(c10))))) ),
    inference(renaming,[status(thm)],[c_367]) ).

cnf(c_424,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14))))
    | p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
    inference(instantiation,[status(thm)],[c_368]) ).

cnf(c_433,plain,
    p2(f6(c9,X0),f6(c9,X0)),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_438,plain,
    ( ~ p2(X0,f6(c9,X1))
    | ~ p2(X0,X2)
    | p2(X2,f6(c9,X1)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_532,plain,
    ( ~ p2(f6(c9,X0),f6(c9,X0))
    | ~ p2(f6(c9,X0),X1)
    | p2(X1,f6(c9,X0)) ),
    inference(instantiation,[status(thm)],[c_438]) ).

cnf(c_534,plain,
    ( ~ p2(f6(c9,X0),X1)
    | p2(X1,f6(c9,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_532,c_433,c_532]) ).

cnf(c_616,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(X1,f6(c9,f4(c12)))
    | ~ p8(X1,X0)
    | p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_618,plain,
    ( ~ p8(X1,X0)
    | ~ p2(X1,f6(c9,f4(c12)))
    | ~ p2(X0,f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(global_subsumption_just,[status(thm)],[c_616,c_59,c_616]) ).

cnf(c_619,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(X1,f6(c9,f4(c12)))
    | ~ p8(X1,X0) ),
    inference(renaming,[status(thm)],[c_618]) ).

cnf(c_895,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f4(c12)),f6(c9,f4(c12)))
    | ~ p8(f6(c9,f4(c12)),X0) ),
    inference(instantiation,[status(thm)],[c_619]) ).

cnf(c_897,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p8(f6(c9,f4(c12)),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_895,c_242,c_895]) ).

cnf(c_2143,plain,
    ( ~ p2(f6(c9,f4(f4(f5(c12,c14)))),X0)
    | p2(X0,f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_534]) ).

cnf(c_4100,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(X1,f6(c9,f4(c12)))
    | ~ p8(X1,X0)
    | p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_4101,plain,
    ( ~ p8(X1,X0)
    | ~ p2(X1,f6(c9,f4(c12)))
    | ~ p2(X0,f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(global_subsumption_just,[status(thm)],[c_4100,c_619]) ).

cnf(c_4102,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(X1,f6(c9,f4(c12)))
    | ~ p8(X1,X0) ),
    inference(renaming,[status(thm)],[c_4101]) ).

cnf(c_4108,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f4(c12)),f6(c9,f4(c12)))
    | ~ p8(f6(c9,f4(c12)),X0) ),
    inference(instantiation,[status(thm)],[c_4102]) ).

cnf(c_4109,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p8(f6(c9,f4(c12)),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4108,c_897]) ).

cnf(c_4118,plain,
    ( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(X0,X1)
    | p2(X1,f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_4123,plain,
    ( ~ p2(f6(X0,X1),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p8(f6(c9,f4(c12)),f6(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_4109]) ).

cnf(c_4138,plain,
    ( ~ p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f4(f4(f5(c12,c14)))),X0)
    | p2(X0,f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_4118]) ).

cnf(c_4140,plain,
    ( ~ p2(f6(c9,f4(f4(f5(c12,c14)))),X0)
    | p2(X0,f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(global_subsumption_just,[status(thm)],[c_4138,c_2143]) ).

cnf(c_4166,plain,
    ( ~ p2(f6(c9,f4(f4(f5(c12,c14)))),f6(X0,X1))
    | p2(f6(X0,X1),f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_4140]) ).

cnf(c_4196,plain,
    ( ~ p2(f4(f4(f5(c12,c14))),X0)
    | ~ p2(c9,X1)
    | p2(f6(c9,f4(f4(f5(c12,c14)))),f6(X1,X0)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_4238,plain,
    ( ~ p2(f4(f4(f5(c12,c14))),X0)
    | ~ p2(c9,c9)
    | p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,X0)) ),
    inference(instantiation,[status(thm)],[c_4196]) ).

cnf(c_4240,plain,
    ( ~ p2(f4(f4(f5(c12,c14))),X0)
    | p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_4238,c_282,c_4238]) ).

cnf(c_4339,plain,
    ( ~ p2(f4(f4(f5(c12,c14))),f5(f4(f5(c12,c14)),f3(f7(c10))))
    | p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
    inference(instantiation,[status(thm)],[c_4240]) ).

cnf(c_4531,plain,
    p2(f4(f4(f5(c12,c14))),f5(f4(f5(c12,c14)),f3(f7(c10)))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_5038,plain,
    ( ~ p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_4166]) ).

cnf(c_6432,plain,
    ( ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
    inference(instantiation,[status(thm)],[c_4123]) ).

cnf(c_6438,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6432,c_5038,c_4531,c_4339,c_424,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN560-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:41:57 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 7.58/1.65  % SZS status Started for theBenchmark.p
% 7.58/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.58/1.65  
% 7.58/1.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.58/1.65  
% 7.58/1.65  ------  iProver source info
% 7.58/1.65  
% 7.58/1.65  git: date: 2024-05-02 19:28:25 +0000
% 7.58/1.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.58/1.65  git: non_committed_changes: false
% 7.58/1.65  
% 7.58/1.65  ------ Parsing...successful
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.58/1.65  
% 7.58/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.58/1.65  ------ Proving...
% 7.58/1.65  ------ Problem Properties 
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  clauses                                 15
% 7.58/1.65  conjectures                             15
% 7.58/1.65  EPR                                     4
% 7.58/1.65  Horn                                    14
% 7.58/1.65  unary                                   6
% 7.58/1.65  binary                                  4
% 7.58/1.65  lits                                    30
% 7.58/1.65  lits eq                                 0
% 7.58/1.65  fd_pure                                 0
% 7.58/1.65  fd_pseudo                               0
% 7.58/1.65  fd_cond                                 0
% 7.58/1.65  fd_pseudo_cond                          0
% 7.58/1.65  AC symbols                              0
% 7.58/1.65  
% 7.58/1.65  ------ Input Options Time Limit: Unbounded
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  ------ 
% 7.58/1.65  Current options:
% 7.58/1.65  ------ 
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  ------ Proving...
% 7.58/1.65  
% 7.58/1.65  
% 7.58/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.58/1.65  
% 7.58/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.58/1.65  
% 7.58/1.66  
%------------------------------------------------------------------------------