TSTP Solution File: SYN558-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 2.96s 1.42s
% Output   : CNFRefutation 2.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   49 (  22 unt;   0 nHn;  41 RR)
%            Number of literals    :  109 (   0 equ;  63 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   60 (   2 sgn)

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

cnf(c_50,negated_conjecture,
    p4(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).

cnf(c_51,negated_conjecture,
    p6(c7,f3(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).

cnf(c_52,negated_conjecture,
    p5(c7,c10,c9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).

cnf(c_53,negated_conjecture,
    p5(c7,c10,c8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).

cnf(c_54,negated_conjecture,
    p5(c7,X0,f3(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).

cnf(c_55,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f3(X0),f3(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(c_56,negated_conjecture,
    ( ~ p5(c7,c9,X0)
    | ~ p5(c7,c8,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_8) ).

cnf(c_59,negated_conjecture,
    ( ~ p5(X0,X1,X2)
    | ~ p5(X0,X2,X3)
    | p5(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_11) ).

cnf(c_61,negated_conjecture,
    ( ~ p5(c7,X0,X1)
    | ~ p5(c7,X0,X2)
    | ~ p6(c7,X1)
    | ~ p6(c7,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

cnf(c_62,negated_conjecture,
    ( ~ p5(X0,X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X2,X4)
    | ~ p4(X0,X5)
    | p5(X5,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).

cnf(c_63,plain,
    p4(c7,c7),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_135,negated_conjecture,
    ( ~ p5(X0,X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X2,X4)
    | ~ p4(X0,X5)
    | p5(X5,X3,X4) ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_136,negated_conjecture,
    ( ~ p5(c7,X0,X1)
    | ~ p5(c7,X0,X2)
    | ~ p6(c7,X1)
    | ~ p6(c7,X2)
    | p2(X1,X2) ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_138,negated_conjecture,
    ( ~ p5(X0,X1,X2)
    | ~ p5(X0,X2,X3)
    | p5(X0,X1,X3) ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_141,negated_conjecture,
    ( ~ p5(c7,c9,X0)
    | ~ p5(c7,c8,X0) ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_142,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f3(X0),f3(X1)) ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_143,negated_conjecture,
    p5(c7,X0,f3(X0)),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_144,negated_conjecture,
    p5(c7,c10,c8),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_145,negated_conjecture,
    p5(c7,c10,c9),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_146,negated_conjecture,
    p6(c7,f3(X0)),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_148,negated_conjecture,
    p2(X0,X0),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_149,plain,
    p5(c7,c9,f3(c9)),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_157,plain,
    ( ~ p5(c7,f3(X0),X1)
    | ~ p5(c7,X0,f3(X0))
    | p5(c7,X0,X1) ),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_172,plain,
    p5(c7,c8,f3(c8)),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_181,plain,
    ( ~ p5(c7,f3(X0),f3(f3(X0)))
    | ~ p5(c7,X0,f3(X0))
    | p5(c7,X0,f3(f3(X0))) ),
    inference(instantiation,[status(thm)],[c_157]) ).

cnf(c_182,plain,
    p5(c7,f3(X0),f3(f3(X0))),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_235,plain,
    ( ~ p5(c7,f3(c9),f3(f3(c9)))
    | ~ p5(c7,c9,f3(c9))
    | p5(c7,c9,f3(f3(c9))) ),
    inference(instantiation,[status(thm)],[c_181]) ).

cnf(c_237,plain,
    ( ~ p5(c7,c9,f3(f3(c9)))
    | ~ p5(c7,c8,f3(f3(c9))) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_238,plain,
    ( ~ p5(c7,f3(c8),f3(f3(c8)))
    | ~ p5(c7,c8,f3(c8))
    | p5(c7,c8,f3(f3(c8))) ),
    inference(instantiation,[status(thm)],[c_181]) ).

cnf(c_240,plain,
    ( ~ p5(c7,X0,f3(f3(X0)))
    | ~ p2(f3(f3(X0)),X1)
    | ~ p2(X0,X2)
    | ~ p4(c7,X3)
    | p5(X3,X2,X1) ),
    inference(instantiation,[status(thm)],[c_135]) ).

cnf(c_271,plain,
    p5(c7,f3(c9),f3(f3(c9))),
    inference(instantiation,[status(thm)],[c_182]) ).

cnf(c_292,plain,
    p5(c7,f3(c8),f3(f3(c8))),
    inference(instantiation,[status(thm)],[c_182]) ).

cnf(c_368,plain,
    ( ~ p5(c7,c9,X0)
    | p5(c7,c10,X0) ),
    inference(superposition,[status(thm)],[c_145,c_138]) ).

cnf(c_369,plain,
    ( ~ p5(c7,c8,X0)
    | p5(c7,c10,X0) ),
    inference(superposition,[status(thm)],[c_144,c_138]) ).

cnf(c_450,plain,
    ( ~ p2(f3(f3(X0)),f3(X1))
    | ~ p5(c7,X0,f3(f3(X0)))
    | ~ p2(X0,X2)
    | ~ p4(c7,X3)
    | p5(X3,X2,f3(X1)) ),
    inference(instantiation,[status(thm)],[c_240]) ).

cnf(c_451,plain,
    ( ~ p2(f3(X0),X1)
    | p2(f3(f3(X0)),f3(X1)) ),
    inference(instantiation,[status(thm)],[c_142]) ).

cnf(c_472,plain,
    p2(c8,c8),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_554,plain,
    p5(c7,c10,f3(c9)),
    inference(superposition,[status(thm)],[c_143,c_368]) ).

cnf(c_648,plain,
    p5(c7,c10,f3(c8)),
    inference(superposition,[status(thm)],[c_143,c_369]) ).

cnf(c_656,plain,
    ( ~ p2(f3(X0),f3(X1))
    | p2(f3(f3(X0)),f3(f3(X1))) ),
    inference(instantiation,[status(thm)],[c_451]) ).

cnf(c_720,plain,
    ( ~ p2(f3(f3(X0)),f3(f3(c9)))
    | ~ p5(c7,X0,f3(f3(X0)))
    | ~ p2(X0,c8)
    | ~ p4(c7,c7)
    | p5(c7,c8,f3(f3(c9))) ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_964,plain,
    ( ~ p5(c7,c10,X0)
    | ~ p6(c7,f3(c8))
    | ~ p6(c7,X0)
    | p2(f3(c8),X0) ),
    inference(superposition,[status(thm)],[c_648,c_136]) ).

cnf(c_973,plain,
    ( ~ p5(c7,c10,X0)
    | ~ p6(c7,X0)
    | p2(f3(c8),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_964,c_146]) ).

cnf(c_1556,plain,
    ( ~ p2(f3(f3(c8)),f3(f3(c9)))
    | ~ p5(c7,c8,f3(f3(c8)))
    | ~ p2(c8,c8)
    | ~ p4(c7,c7)
    | p5(c7,c8,f3(f3(c9))) ),
    inference(instantiation,[status(thm)],[c_720]) ).

cnf(c_1757,plain,
    ( ~ p6(c7,f3(c9))
    | p2(f3(c8),f3(c9)) ),
    inference(superposition,[status(thm)],[c_554,c_973]) ).

cnf(c_1764,plain,
    p2(f3(c8),f3(c9)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1757,c_146]) ).

cnf(c_2947,plain,
    ( ~ p2(f3(c8),f3(c9))
    | p2(f3(f3(c8)),f3(f3(c9))) ),
    inference(instantiation,[status(thm)],[c_656]) ).

cnf(c_2948,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2947,c_1764,c_1556,c_472,c_292,c_271,c_238,c_237,c_235,c_172,c_149,c_63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:45:58 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 2.96/1.42  % SZS status Started for theBenchmark.p
% 2.96/1.42  % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.42  
% 2.96/1.42  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.96/1.42  
% 2.96/1.42  ------  iProver source info
% 2.96/1.42  
% 2.96/1.42  git: date: 2024-05-02 19:28:25 +0000
% 2.96/1.42  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.96/1.42  git: non_committed_changes: false
% 2.96/1.42  
% 2.96/1.42  ------ Parsing...successful
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.96/1.42  
% 2.96/1.42  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.96/1.42  ------ Proving...
% 2.96/1.42  ------ Problem Properties 
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  clauses                                 14
% 2.96/1.42  conjectures                             14
% 2.96/1.42  EPR                                     11
% 2.96/1.42  Horn                                    14
% 2.96/1.42  unary                                   6
% 2.96/1.42  binary                                  2
% 2.96/1.42  lits                                    33
% 2.96/1.42  lits eq                                 0
% 2.96/1.42  fd_pure                                 0
% 2.96/1.42  fd_pseudo                               0
% 2.96/1.42  fd_cond                                 0
% 2.96/1.42  fd_pseudo_cond                          0
% 2.96/1.42  AC symbols                              0
% 2.96/1.42  
% 2.96/1.42  ------ Schedule dynamic 5 is on 
% 2.96/1.42  
% 2.96/1.42  ------ no equalities: superposition off 
% 2.96/1.42  
% 2.96/1.42  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  ------ 
% 2.96/1.42  Current options:
% 2.96/1.42  ------ 
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  ------ Proving...
% 2.96/1.42  
% 2.96/1.42  
% 2.96/1.42  % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.42  
% 2.96/1.42  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.96/1.43  
% 2.96/1.43  
%------------------------------------------------------------------------------