TSTP Solution File: SYN644-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN644-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 03:31:56 EDT 2024

% Result   : Unsatisfiable 8.38s 1.62s
% Output   : CNFRefutation 8.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   41 (  12 unt;   5 nHn;  29 RR)
%            Number of literals    :  125 (   0 equ;  80 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-5 aty)
%            Number of variables   :   87 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p12(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).

cnf(c_55,negated_conjecture,
    p22(f3(f4(f5(c26))),c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).

cnf(c_57,negated_conjecture,
    p24(f17(f10(c29,f11(c27,c30)),c28)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_p24_9) ).

cnf(c_58,negated_conjecture,
    p23(c28,f8(f10(c29,f11(c27,c30)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_10) ).

cnf(c_65,negated_conjecture,
    ( ~ p12(X0,X1)
    | ~ p12(X0,X2)
    | p12(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_17) ).

cnf(c_71,negated_conjecture,
    ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_23) ).

cnf(c_73,negated_conjecture,
    ( ~ p12(X0,X1)
    | ~ p12(X2,X3)
    | ~ p25(X2,X0)
    | p25(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).

cnf(c_81,negated_conjecture,
    p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).

cnf(c_85,negated_conjecture,
    ( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
    | ~ p22(f3(f4(f5(c26))),X2)
    | p25(f13(f14(X4,f16(f10(X1,f11(X2,X3)),c32,X4))),f13(f14(X4,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).

cnf(c_87,negated_conjecture,
    ( ~ p24(f17(f10(X0,f11(X1,X2)),X3))
    | ~ p23(X3,f8(f10(X0,f11(X1,X2))))
    | ~ p22(f3(f4(f5(c26))),X1)
    | p23(f21(X0,X1,X2,X4,X3),f8(f10(X0,f11(X1,X2))))
    | p12(X3,f16(f10(X0,f11(X1,X2)),c32,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_39) ).

cnf(c_88,negated_conjecture,
    ( ~ p25(f13(f14(X0,X1)),f13(f14(X0,f21(X2,X3,X4,X0,X1))))
    | ~ p24(f17(f10(X2,f11(X3,X4)),X1))
    | ~ p23(X1,f8(f10(X2,f11(X3,X4))))
    | ~ p22(f3(f4(f5(c26))),X3)
    | p12(X1,f16(f10(X2,f11(X3,X4)),c32,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_40) ).

cnf(c_342,negated_conjecture,
    ( ~ p25(f13(f14(X0_13,X1_13)),f13(f14(X0_13,f21(X0_14,X1_14,X2_14,X0_13,X1_13))))
    | ~ p24(f17(f10(X0_14,f11(X1_14,X2_14)),X1_13))
    | ~ p23(X1_13,f8(f10(X0_14,f11(X1_14,X2_14))))
    | ~ p22(f3(f4(f5(c26))),X1_14)
    | p12(X1_13,f16(f10(X0_14,f11(X1_14,X2_14)),c32,X0_13)) ),
    inference(subtyping,[status(esa)],[c_88]) ).

cnf(c_343,negated_conjecture,
    ( ~ p24(f17(f10(X0_14,f11(X1_14,X2_14)),X0_13))
    | ~ p23(X0_13,f8(f10(X0_14,f11(X1_14,X2_14))))
    | ~ p22(f3(f4(f5(c26))),X1_14)
    | p23(f21(X0_14,X1_14,X2_14,X1_13,X0_13),f8(f10(X0_14,f11(X1_14,X2_14))))
    | p12(X0_13,f16(f10(X0_14,f11(X1_14,X2_14)),c32,X1_13)) ),
    inference(subtyping,[status(esa)],[c_87]) ).

cnf(c_345,negated_conjecture,
    ( ~ p23(X0_13,f8(f10(X0_14,f11(X1_14,X2_14))))
    | ~ p22(f3(f4(f5(c26))),X1_14)
    | p25(f13(f14(X1_13,f16(f10(X0_14,f11(X1_14,X2_14)),c32,X1_13))),f13(f14(X1_13,X0_13))) ),
    inference(subtyping,[status(esa)],[c_85]) ).

cnf(c_357,negated_conjecture,
    ( ~ p12(X0_13,X1_13)
    | ~ p12(X2_13,X3_13)
    | ~ p25(X0_13,X2_13)
    | p25(X1_13,X3_13) ),
    inference(subtyping,[status(esa)],[c_73]) ).

cnf(c_365,negated_conjecture,
    ( ~ p12(X0_13,X1_13)
    | ~ p12(X0_13,X2_13)
    | p12(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_65]) ).

cnf(c_381,negated_conjecture,
    p12(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_408,plain,
    ( ~ p25(f13(f14(X0_13,X1_13)),f13(f14(X0_13,f21(X0_14,c27,X1_14,X0_13,X1_13))))
    | ~ p24(f17(f10(X0_14,f11(c27,X1_14)),X1_13))
    | ~ p23(X1_13,f8(f10(X0_14,f11(c27,X1_14))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p12(X1_13,f16(f10(X0_14,f11(c27,X1_14)),c32,X0_13)) ),
    inference(instantiation,[status(thm)],[c_342]) ).

cnf(c_416,plain,
    ( ~ p24(f17(f10(X0_14,f11(c27,X1_14)),X0_13))
    | ~ p23(X0_13,f8(f10(X0_14,f11(c27,X1_14))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p23(f21(X0_14,c27,X1_14,X1_13,X0_13),f8(f10(X0_14,f11(c27,X1_14))))
    | p12(X0_13,f16(f10(X0_14,f11(c27,X1_14)),c32,X1_13)) ),
    inference(instantiation,[status(thm)],[c_343]) ).

cnf(c_420,plain,
    ( ~ p23(X0_13,f8(f10(X0_14,f11(c27,X1_14))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p25(f13(f14(X1_13,f16(f10(X0_14,f11(c27,X1_14)),c32,X1_13))),f13(f14(X1_13,X0_13))) ),
    inference(instantiation,[status(thm)],[c_345]) ).

cnf(c_455,plain,
    ( ~ p24(f17(f10(c29,f11(c27,c30)),c28))
    | ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p23(f21(c29,c27,c30,X0_13,c28),f8(f10(c29,f11(c27,c30))))
    | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0_13)) ),
    inference(instantiation,[status(thm)],[c_416]) ).

cnf(c_494,plain,
    ( ~ p12(X0_13,f13(f14(X1_13,f16(f10(X0_14,f11(c27,X1_14)),c32,X1_13))))
    | ~ p12(X0_13,X2_13)
    | p12(f13(f14(X1_13,f16(f10(X0_14,f11(c27,X1_14)),c32,X1_13))),X2_13) ),
    inference(instantiation,[status(thm)],[c_365]) ).

cnf(c_507,plain,
    ( ~ p23(f21(c29,c27,c30,X0_13,c28),f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p25(f13(f14(X1_13,f16(f10(c29,f11(c27,c30)),c32,X1_13))),f13(f14(X1_13,f21(c29,c27,c30,X0_13,c28)))) ),
    inference(instantiation,[status(thm)],[c_420]) ).

cnf(c_534,plain,
    ( ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
    | ~ p12(f13(f14(c31,c28)),X0_13)
    | p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0_13) ),
    inference(instantiation,[status(thm)],[c_494]) ).

cnf(c_582,plain,
    ( ~ p24(f17(f10(c29,f11(c27,c30)),c28))
    | ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
    | p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
    inference(instantiation,[status(thm)],[c_455]) ).

cnf(c_622,plain,
    ( ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
    | ~ p12(f13(f14(c31,c28)),f13(X0_13))
    | p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(X0_13)) ),
    inference(instantiation,[status(thm)],[c_534]) ).

cnf(c_769,plain,
    ( ~ p25(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))))
    | ~ p12(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),X2_13)
    | ~ p12(f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))),X3_13)
    | p25(X2_13,X3_13) ),
    inference(instantiation,[status(thm)],[c_357]) ).

cnf(c_806,plain,
    ( ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))
    | ~ p12(f13(f14(c31,c28)),f13(f14(c31,c28)))
    | p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))) ),
    inference(instantiation,[status(thm)],[c_622]) ).

cnf(c_887,plain,
    ( ~ p25(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))))
    | ~ p12(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),X2_13)
    | ~ p12(f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))),f13(X3_13))
    | p25(X2_13,f13(X3_13)) ),
    inference(instantiation,[status(thm)],[c_769]) ).

cnf(c_1085,plain,
    p12(f13(f14(c31,c28)),f13(f14(c31,c28))),
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_1372,plain,
    ( ~ p25(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))))
    | ~ p12(f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))))
    | ~ p12(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),X2_13)
    | p25(X2_13,f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28)))) ),
    inference(instantiation,[status(thm)],[c_887]) ).

cnf(c_1985,plain,
    p12(f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28)))),
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_2324,plain,
    p12(f13(f14(c31,f21(c29,c27,c30,X0_13,c28))),f13(f14(c31,f21(c29,c27,c30,X0_13,c28)))),
    inference(instantiation,[status(thm)],[c_1985]) ).

cnf(c_2349,plain,
    ( ~ p25(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))))
    | ~ p12(f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28))))
    | ~ p12(f13(f14(X0_13,f16(f10(c29,f11(c27,c30)),c32,X0_13))),f13(X2_13))
    | p25(f13(X2_13),f13(f14(X0_13,f21(c29,c27,c30,X1_13,c28)))) ),
    inference(instantiation,[status(thm)],[c_1372]) ).

cnf(c_3675,plain,
    ( ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,X0_13,c28))))
    | ~ p12(f13(f14(c31,f21(c29,c27,c30,X0_13,c28))),f13(f14(c31,f21(c29,c27,c30,X0_13,c28))))
    | ~ p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
    | p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,X0_13,c28)))) ),
    inference(instantiation,[status(thm)],[c_2349]) ).

cnf(c_4685,plain,
    ( ~ p23(f21(c29,c27,c30,X0_13,c28),f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,X0_13,c28)))) ),
    inference(instantiation,[status(thm)],[c_507]) ).

cnf(c_7194,plain,
    ( ~ p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
    inference(instantiation,[status(thm)],[c_4685]) ).

cnf(c_7661,plain,
    ( ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
    | ~ p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
    | ~ p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
    | p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
    inference(instantiation,[status(thm)],[c_3675]) ).

cnf(c_13033,plain,
    p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
    inference(instantiation,[status(thm)],[c_2324]) ).

cnf(c_16516,plain,
    ( ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
    | ~ p24(f17(f10(c29,f11(c27,c30)),c28))
    | ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
    inference(instantiation,[status(thm)],[c_408]) ).

cnf(c_16517,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16516,c_13033,c_7661,c_7194,c_1085,c_806,c_582,c_81,c_71,c_57,c_58,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SYN644-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:07:06 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.38/1.62  % SZS status Started for theBenchmark.p
% 8.38/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 8.38/1.62  
% 8.38/1.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.38/1.62  
% 8.38/1.62  ------  iProver source info
% 8.38/1.62  
% 8.38/1.62  git: date: 2024-05-02 19:28:25 +0000
% 8.38/1.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.38/1.62  git: non_committed_changes: false
% 8.38/1.62  
% 8.38/1.62  ------ Parsing...successful
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.38/1.62  
% 8.38/1.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.38/1.62  ------ Proving...
% 8.38/1.62  ------ Problem Properties 
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  clauses                                 42
% 8.38/1.62  conjectures                             42
% 8.38/1.62  EPR                                     16
% 8.38/1.62  Horn                                    39
% 8.38/1.62  unary                                   11
% 8.38/1.62  binary                                  8
% 8.38/1.62  lits                                    111
% 8.38/1.62  lits eq                                 0
% 8.38/1.62  fd_pure                                 0
% 8.38/1.62  fd_pseudo                               0
% 8.38/1.62  fd_cond                                 0
% 8.38/1.62  fd_pseudo_cond                          0
% 8.38/1.62  AC symbols                              0
% 8.38/1.62  
% 8.38/1.62  ------ Input Options Time Limit: Unbounded
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  ------ 
% 8.38/1.62  Current options:
% 8.38/1.62  ------ 
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  ------ Proving...
% 8.38/1.62  
% 8.38/1.62  
% 8.38/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 8.38/1.62  
% 8.38/1.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.38/1.62  
% 8.38/1.64  
%------------------------------------------------------------------------------