TSTP Solution File: SYN614-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 03:09:03 EDT 2023

% Result   : Unsatisfiable 3.27s 1.15s
% Output   : CNFRefutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  11 unt;   0 nHn;  24 RR)
%            Number of literals    :   56 (   0 equ;  34 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    p7(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).

cnf(c_54,negated_conjecture,
    p19(c23,f3(f4(f5(c22)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_6) ).

cnf(c_55,negated_conjecture,
    p20(c24,f6(f3(f4(f5(c22))),c21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_7) ).

cnf(c_61,negated_conjecture,
    p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).

cnf(c_63,negated_conjecture,
    ( ~ p7(X0,X1)
    | ~ p7(X0,X2)
    | p7(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_15) ).

cnf(c_66,negated_conjecture,
    p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_18) ).

cnf(c_71,negated_conjecture,
    ( ~ p7(X0,X1)
    | ~ p7(X2,X3)
    | p7(f8(X0,X2),f8(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_23) ).

cnf(c_72,negated_conjecture,
    ( ~ p7(X0,X1)
    | ~ p2(X2,X3)
    | p7(f10(X0,X2),f10(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).

cnf(c_77,negated_conjecture,
    p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_29) ).

cnf(c_79,negated_conjecture,
    ( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
    | ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)
    | ~ p20(X1,f6(f3(f4(f5(c22))),c21))
    | ~ p19(X0,f3(f4(f5(c22)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_31) ).

cnf(c_243,plain,
    ( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X0),f10(f11(f3(f4(f5(c22)))),c27)))))
    | ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X0)
    | ~ p20(X0,f6(f3(f4(f5(c22))),c21))
    | ~ p19(c23,f3(f4(f5(c22)))) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_262,plain,
    ( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
    | ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)
    | ~ p20(c24,f6(f3(f4(f5(c22))),c21))
    | ~ p19(c23,f3(f4(f5(c22)))) ),
    inference(instantiation,[status(thm)],[c_243]) ).

cnf(c_279,plain,
    ( ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
    | ~ p7(X0,c25)
    | p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_338,plain,
    ( ~ p7(X0,X1)
    | ~ p7(X0,c25)
    | p7(X1,c25) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_450,plain,
    ( ~ p7(c25,X0)
    | ~ p7(c25,c25)
    | p7(X0,c25) ),
    inference(instantiation,[status(thm)],[c_338]) ).

cnf(c_451,plain,
    p7(c25,c25),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_610,plain,
    ( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
    | ~ p7(c25,c25)
    | p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25) ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_746,plain,
    ( ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
    | ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25)
    | p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
    inference(instantiation,[status(thm)],[c_279]) ).

cnf(c_1304,plain,
    ( ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
    | ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
    | p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_1594,plain,
    p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_2088,plain,
    ( ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))
    | ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
    | p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_2616,plain,
    p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_3355,plain,
    ( ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
    | ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25))
    | p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_4210,plain,
    p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_4211,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4210,c_3355,c_2616,c_2088,c_1594,c_1304,c_746,c_610,c_451,c_262,c_77,c_66,c_61,c_55,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 20:25:00 EDT 2023
% 0.13/0.34  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.27/1.15  % SZS status Started for theBenchmark.p
% 3.27/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.15  
% 3.27/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.27/1.15  
% 3.27/1.15  ------  iProver source info
% 3.27/1.15  
% 3.27/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.27/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.27/1.15  git: non_committed_changes: false
% 3.27/1.15  git: last_make_outside_of_git: false
% 3.27/1.15  
% 3.27/1.15  ------ Parsing...successful
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.27/1.15  
% 3.27/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.27/1.15  ------ Proving...
% 3.27/1.15  ------ Problem Properties 
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  clauses                                 31
% 3.27/1.15  conjectures                             31
% 3.27/1.15  EPR                                     10
% 3.27/1.15  Horn                                    31
% 3.27/1.15  unary                                   10
% 3.27/1.15  binary                                  5
% 3.27/1.15  lits                                    72
% 3.27/1.15  lits eq                                 0
% 3.27/1.15  fd_pure                                 0
% 3.27/1.15  fd_pseudo                               0
% 3.27/1.15  fd_cond                                 0
% 3.27/1.15  fd_pseudo_cond                          0
% 3.27/1.15  AC symbols                              0
% 3.27/1.15  
% 3.27/1.15  ------ Schedule dynamic 5 is on 
% 3.27/1.15  
% 3.27/1.15  ------ no equalities: superposition off 
% 3.27/1.15  
% 3.27/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  ------ 
% 3.27/1.15  Current options:
% 3.27/1.15  ------ 
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  ------ Proving...
% 3.27/1.15  
% 3.27/1.15  
% 3.27/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.15  
% 3.27/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/1.15  
% 3.27/1.15  
%------------------------------------------------------------------------------