TSTP Solution File: SYN591-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 03:31:42 EDT 2024

% Result   : Unsatisfiable 3.38s 1.11s
% Output   : CNFRefutation 3.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   50 (  16 unt;   3 nHn;  44 RR)
%            Number of literals    :  124 (   0 equ;  73 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    p7(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).

cnf(c_52,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(c_53,negated_conjecture,
    p3(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).

cnf(c_59,negated_conjecture,
    p12(c14,f4(c18,c17)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).

cnf(c_60,negated_conjecture,
    ~ p11(c13,f4(c17,f6(c18))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).

cnf(c_61,negated_conjecture,
    ~ p11(c13,f4(f6(c18),c17)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_13) ).

cnf(c_68,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

cnf(c_69,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p3(X0,X2)
    | p3(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).

cnf(c_70,negated_conjecture,
    ( ~ p12(c14,f4(X0,c17))
    | p2(f6(X0),f5(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_22) ).

cnf(c_73,negated_conjecture,
    ( ~ p7(X0,X1)
    | ~ p3(X2,X3)
    | ~ p11(X0,X2)
    | p11(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).

cnf(c_74,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p3(f4(X0,X2),f4(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).

cnf(c_75,negated_conjecture,
    ( ~ p12(c14,f4(X0,c17))
    | p11(c13,f4(f5(X0),c17))
    | p11(c13,f4(c17,f5(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_27) ).

cnf(c_79,plain,
    p7(c13,c13),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_286,negated_conjecture,
    ( ~ p12(c14,f4(X0_15,c17))
    | p11(c13,f4(f5(X0_15),c17))
    | p11(c13,f4(c17,f5(X0_15))) ),
    inference(subtyping,[status(esa)],[c_75]) ).

cnf(c_287,negated_conjecture,
    ( ~ p2(X0_15,X1_15)
    | ~ p2(X2_15,X3_15)
    | p3(f4(X0_15,X2_15),f4(X1_15,X3_15)) ),
    inference(subtyping,[status(esa)],[c_74]) ).

cnf(c_288,negated_conjecture,
    ( ~ p7(X0_13,X1_13)
    | ~ p3(X0_14,X1_14)
    | ~ p11(X0_13,X0_14)
    | p11(X1_13,X1_14) ),
    inference(subtyping,[status(esa)],[c_73]) ).

cnf(c_291,negated_conjecture,
    ( ~ p12(c14,f4(X0_15,c17))
    | p2(f6(X0_15),f5(X0_15)) ),
    inference(subtyping,[status(esa)],[c_70]) ).

cnf(c_292,negated_conjecture,
    ( ~ p3(X0_14,X1_14)
    | ~ p3(X0_14,X2_14)
    | p3(X1_14,X2_14) ),
    inference(subtyping,[status(esa)],[c_69]) ).

cnf(c_293,negated_conjecture,
    ( ~ p2(X0_15,X1_15)
    | ~ p2(X0_15,X2_15)
    | p2(X1_15,X2_15) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_300,negated_conjecture,
    p12(c14,f4(c18,c17)),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_306,negated_conjecture,
    p3(X0_14,X0_14),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_307,negated_conjecture,
    p2(X0_15,X0_15),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_311,plain,
    p2(c17,c17),
    inference(instantiation,[status(thm)],[c_307]) ).

cnf(c_376,plain,
    ( ~ p12(c14,f4(c18,c17))
    | p11(c13,f4(f5(c18),c17))
    | p11(c13,f4(c17,f5(c18))) ),
    inference(instantiation,[status(thm)],[c_286]) ).

cnf(c_383,plain,
    ( ~ p12(c14,f4(c18,c17))
    | p2(f6(c18),f5(c18)) ),
    inference(instantiation,[status(thm)],[c_291]) ).

cnf(c_412,plain,
    ( ~ p3(f4(c17,f5(c18)),X0_14)
    | ~ p11(c13,f4(c17,f5(c18)))
    | ~ p7(c13,X0_13)
    | p11(X0_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_288]) ).

cnf(c_434,plain,
    ( ~ p3(f4(f5(c18),c17),X0_14)
    | ~ p11(c13,f4(f5(c18),c17))
    | ~ p7(c13,X0_13)
    | p11(X0_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_288]) ).

cnf(c_455,plain,
    p2(f6(c18),f5(c18)),
    inference(superposition,[status(thm)],[c_300,c_291]) ).

cnf(c_463,plain,
    ( ~ p2(f6(c18),X0_15)
    | p2(f5(c18),X0_15) ),
    inference(superposition,[status(thm)],[c_455,c_293]) ).

cnf(c_502,plain,
    ( ~ p3(f4(f5(c18),c17),f4(X0_15,X1_15))
    | ~ p11(c13,f4(f5(c18),c17))
    | ~ p7(c13,X0_13)
    | p11(X0_13,f4(X0_15,X1_15)) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_506,plain,
    ( ~ p3(X0_14,f4(f5(c18),c17))
    | ~ p3(X0_14,X1_14)
    | p3(f4(f5(c18),c17),X1_14) ),
    inference(instantiation,[status(thm)],[c_292]) ).

cnf(c_562,plain,
    p2(f5(c18),f6(c18)),
    inference(superposition,[status(thm)],[c_307,c_463]) ).

cnf(c_604,plain,
    ( ~ p3(f4(X0_15,X1_15),f4(f5(c18),c17))
    | ~ p3(f4(X0_15,X1_15),X0_14)
    | p3(f4(f5(c18),c17),X0_14) ),
    inference(instantiation,[status(thm)],[c_506]) ).

cnf(c_605,plain,
    ( ~ p2(X0_15,f5(c18))
    | ~ p2(X1_15,c17)
    | p3(f4(X0_15,X1_15),f4(f5(c18),c17)) ),
    inference(instantiation,[status(thm)],[c_287]) ).

cnf(c_850,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ p2(X0_15,c17)
    | p3(f4(f6(c18),X0_15),f4(f5(c18),c17)) ),
    inference(instantiation,[status(thm)],[c_605]) ).

cnf(c_851,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ p2(c17,c17)
    | p3(f4(f6(c18),c17),f4(f5(c18),c17)) ),
    inference(instantiation,[status(thm)],[c_850]) ).

cnf(c_1134,plain,
    ( ~ p3(f4(f6(c18),X0_15),f4(f5(c18),c17))
    | ~ p3(f4(f6(c18),X0_15),X0_14)
    | p3(f4(f5(c18),c17),X0_14) ),
    inference(instantiation,[status(thm)],[c_604]) ).

cnf(c_1460,plain,
    ( ~ p3(f4(f6(c18),X0_15),f4(f6(c18),X0_15))
    | ~ p3(f4(f6(c18),X0_15),f4(f5(c18),c17))
    | p3(f4(f5(c18),c17),f4(f6(c18),X0_15)) ),
    inference(instantiation,[status(thm)],[c_1134]) ).

cnf(c_1461,plain,
    p3(f4(f6(c18),X0_15),f4(f6(c18),X0_15)),
    inference(instantiation,[status(thm)],[c_306]) ).

cnf(c_1462,plain,
    ( ~ p3(f4(f6(c18),c17),f4(f6(c18),c17))
    | ~ p3(f4(f6(c18),c17),f4(f5(c18),c17))
    | p3(f4(f5(c18),c17),f4(f6(c18),c17)) ),
    inference(instantiation,[status(thm)],[c_1460]) ).

cnf(c_1463,plain,
    p3(f4(f6(c18),c17),f4(f6(c18),c17)),
    inference(instantiation,[status(thm)],[c_1461]) ).

cnf(c_1656,plain,
    ( ~ p3(f4(f5(c18),c17),f4(f6(c18),X0_15))
    | ~ p11(c13,f4(f5(c18),c17))
    | ~ p7(c13,X0_13)
    | p11(X0_13,f4(f6(c18),X0_15)) ),
    inference(instantiation,[status(thm)],[c_502]) ).

cnf(c_1657,plain,
    ( ~ p3(f4(f5(c18),c17),f4(f6(c18),c17))
    | ~ p11(c13,f4(f5(c18),c17))
    | ~ p7(c13,c13)
    | p11(c13,f4(f6(c18),c17)) ),
    inference(instantiation,[status(thm)],[c_1656]) ).

cnf(c_1714,plain,
    ( ~ p3(f4(c17,f5(c18)),f4(X0_15,X1_15))
    | ~ p11(c13,f4(c17,f5(c18)))
    | ~ p7(c13,X0_13)
    | p11(X0_13,f4(X0_15,X1_15)) ),
    inference(instantiation,[status(thm)],[c_412]) ).

cnf(c_1715,plain,
    ( ~ p2(f5(c18),X0_15)
    | ~ p2(c17,X1_15)
    | p3(f4(c17,f5(c18)),f4(X1_15,X0_15)) ),
    inference(instantiation,[status(thm)],[c_287]) ).

cnf(c_1962,plain,
    ( ~ p2(f5(c18),f6(c18))
    | ~ p2(c17,X0_15)
    | p3(f4(c17,f5(c18)),f4(X0_15,f6(c18))) ),
    inference(instantiation,[status(thm)],[c_1715]) ).

cnf(c_1963,plain,
    ( ~ p2(f5(c18),f6(c18))
    | ~ p2(c17,c17)
    | p3(f4(c17,f5(c18)),f4(c17,f6(c18))) ),
    inference(instantiation,[status(thm)],[c_1962]) ).

cnf(c_2457,plain,
    ( ~ p3(f4(c17,f5(c18)),f4(X0_15,f6(c18)))
    | ~ p11(c13,f4(c17,f5(c18)))
    | ~ p7(c13,X0_13)
    | p11(X0_13,f4(X0_15,f6(c18))) ),
    inference(instantiation,[status(thm)],[c_1714]) ).

cnf(c_2458,plain,
    ( ~ p3(f4(c17,f5(c18)),f4(c17,f6(c18)))
    | ~ p11(c13,f4(c17,f5(c18)))
    | ~ p7(c13,c13)
    | p11(c13,f4(c17,f6(c18))) ),
    inference(instantiation,[status(thm)],[c_2457]) ).

cnf(c_2459,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2458,c_1963,c_1657,c_1463,c_1462,c_851,c_562,c_383,c_376,c_311,c_60,c_61,c_59,c_79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 20:53:16 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 3.38/1.11  % SZS status Started for theBenchmark.p
% 3.38/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.38/1.11  
% 3.38/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.38/1.11  
% 3.38/1.11  ------  iProver source info
% 3.38/1.11  
% 3.38/1.11  git: date: 2024-05-02 19:28:25 +0000
% 3.38/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.38/1.11  git: non_committed_changes: false
% 3.38/1.11  
% 3.38/1.11  ------ Parsing...successful
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.38/1.11  
% 3.38/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.38/1.11  ------ Proving...
% 3.38/1.11  ------ Problem Properties 
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  clauses                                 23
% 3.38/1.11  conjectures                             23
% 3.38/1.11  EPR                                     14
% 3.38/1.11  Horn                                    22
% 3.38/1.11  unary                                   11
% 3.38/1.11  binary                                  4
% 3.38/1.11  lits                                    46
% 3.38/1.11  lits eq                                 0
% 3.38/1.11  fd_pure                                 0
% 3.38/1.11  fd_pseudo                               0
% 3.38/1.11  fd_cond                                 0
% 3.38/1.11  fd_pseudo_cond                          0
% 3.38/1.11  AC symbols                              0
% 3.38/1.11  
% 3.38/1.11  ------ Input Options Time Limit: Unbounded
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  ------ 
% 3.38/1.11  Current options:
% 3.38/1.11  ------ 
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  ------ Proving...
% 3.38/1.11  
% 3.38/1.11  
% 3.38/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.38/1.11  
% 3.38/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.38/1.11  
% 3.38/1.11  
%------------------------------------------------------------------------------