TSTP Solution File: SYN646-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN646-1 : TPTP v8.2.0. 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 : Mon Jun 24 19:40:08 EDT 2024

% Result   : Unsatisfiable 17.29s 3.17s
% Output   : CNFRefutation 17.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(c_55,negated_conjecture,
    ~ p21(f17(c25),f17(c22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_7) ).

cnf(c_57,negated_conjecture,
    p2(f12(f11(c22)),f7(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).

cnf(c_58,negated_conjecture,
    p2(f12(f11(c25)),f7(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

cnf(c_60,negated_conjecture,
    p20(f14(f11(c25)),f14(f11(c22))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_12) ).

cnf(c_62,negated_conjecture,
    p2(f13(f11(c23)),f13(f11(c22))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

cnf(c_76,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

cnf(c_83,negated_conjecture,
    p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).

cnf(c_84,negated_conjecture,
    p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_36) ).

cnf(c_88,negated_conjecture,
    ( ~ p2(f13(f11(X0)),f13(f11(X1)))
    | ~ p20(f14(f11(X0)),f14(f11(X1)))
    | ~ p2(f12(f11(X0)),f7(c24))
    | ~ p2(f12(f11(X1)),f7(c24))
    | p21(f17(X0),f17(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_40) ).

cnf(c_447,negated_conjecture,
    ( ~ p2(f13(f11(X0_13)),f13(f11(X1_13)))
    | ~ p20(f14(f11(X0_13)),f14(f11(X1_13)))
    | ~ p2(f12(f11(X0_13)),f7(c24))
    | ~ p2(f12(f11(X1_13)),f7(c24))
    | p21(f17(X0_13),f17(X1_13)) ),
    inference(subtyping,[status(esa)],[c_88]) ).

cnf(c_451,negated_conjecture,
    p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
    inference(subtyping,[status(esa)],[c_84]) ).

cnf(c_452,negated_conjecture,
    p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
    inference(subtyping,[status(esa)],[c_83]) ).

cnf(c_459,negated_conjecture,
    ( ~ p2(X0_15,X1_15)
    | ~ p2(X0_15,X2_15)
    | p2(X1_15,X2_15) ),
    inference(subtyping,[status(esa)],[c_76]) ).

cnf(c_472,negated_conjecture,
    p2(f13(f11(c23)),f13(f11(c22))),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_474,negated_conjecture,
    p20(f14(f11(c25)),f14(f11(c22))),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_476,negated_conjecture,
    p2(f12(f11(c25)),f7(c24)),
    inference(subtyping,[status(esa)],[c_58]) ).

cnf(c_477,negated_conjecture,
    p2(f12(f11(c22)),f7(c24)),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_479,negated_conjecture,
    ~ p21(f17(c25),f17(c22)),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_481,negated_conjecture,
    p2(X0_15,X0_15),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_485,plain,
    f17(c25) = sP0_iProver_def,
    definition ).

cnf(c_486,plain,
    f17(c22) = sP1_iProver_def,
    definition ).

cnf(c_488,plain,
    f11(c22) = sP3_iProver_def,
    definition ).

cnf(c_489,plain,
    f12(sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_490,plain,
    f7(c24) = sP5_iProver_def,
    definition ).

cnf(c_491,plain,
    f11(c25) = sP6_iProver_def,
    definition ).

cnf(c_492,plain,
    f12(sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_495,plain,
    f14(sP6_iProver_def) = sP10_iProver_def,
    definition ).

cnf(c_496,plain,
    f14(sP3_iProver_def) = sP11_iProver_def,
    definition ).

cnf(c_498,plain,
    f13(sP8_iProver_def) = sP13_iProver_def,
    definition ).

cnf(c_499,plain,
    f13(sP3_iProver_def) = sP14_iProver_def,
    definition ).

cnf(c_500,plain,
    f8(c24) = sP15_iProver_def,
    definition ).

cnf(c_501,plain,
    f9(sP15_iProver_def) = sP16_iProver_def,
    definition ).

cnf(c_502,plain,
    f9(sP16_iProver_def) = sP17_iProver_def,
    definition ).

cnf(c_503,plain,
    f9(sP17_iProver_def) = sP18_iProver_def,
    definition ).

cnf(c_504,plain,
    f9(sP18_iProver_def) = sP19_iProver_def,
    definition ).

cnf(c_505,plain,
    f8(sP19_iProver_def) = sP20_iProver_def,
    definition ).

cnf(c_506,plain,
    f9(sP20_iProver_def) = sP21_iProver_def,
    definition ).

cnf(c_507,plain,
    f8(sP21_iProver_def) = sP22_iProver_def,
    definition ).

cnf(c_508,plain,
    f7(sP22_iProver_def) = sP23_iProver_def,
    definition ).

cnf(c_509,plain,
    f13(sP6_iProver_def) = sP24_iProver_def,
    definition ).

cnf(c_546,negated_conjecture,
    p2(X0_15,X0_15),
    inference(demodulation,[status(thm)],[c_481]) ).

cnf(c_548,negated_conjecture,
    ~ p21(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_479,c_486,c_485]) ).

cnf(c_550,negated_conjecture,
    p2(sP4_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_477,c_490,c_488,c_489]) ).

cnf(c_551,negated_conjecture,
    p2(sP7_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_476,c_491,c_492]) ).

cnf(c_553,negated_conjecture,
    p20(sP10_iProver_def,sP11_iProver_def),
    inference(demodulation,[status(thm)],[c_474,c_496,c_495]) ).

cnf(c_555,negated_conjecture,
    p2(sP13_iProver_def,sP14_iProver_def),
    inference(demodulation,[status(thm)],[c_472,c_499,c_498]) ).

cnf(c_568,negated_conjecture,
    ( ~ p2(X0_15,X1_15)
    | ~ p2(X0_15,X2_15)
    | p2(X1_15,X2_15) ),
    inference(demodulation,[status(thm)],[c_459]) ).

cnf(c_575,negated_conjecture,
    p2(sP13_iProver_def,sP23_iProver_def),
    inference(demodulation,[status(thm)],[c_452,c_500,c_501,c_502,c_503,c_504,c_505,c_506,c_507,c_508]) ).

cnf(c_576,negated_conjecture,
    p2(sP24_iProver_def,sP23_iProver_def),
    inference(demodulation,[status(thm)],[c_451,c_509]) ).

cnf(c_580,negated_conjecture,
    ( ~ p2(f13(f11(X0_13)),f13(f11(X1_13)))
    | ~ p20(f14(f11(X0_13)),f14(f11(X1_13)))
    | ~ p2(f12(f11(X0_13)),sP5_iProver_def)
    | ~ p2(f12(f11(X1_13)),sP5_iProver_def)
    | p21(f17(X0_13),f17(X1_13)) ),
    inference(demodulation,[status(thm)],[c_447]) ).

cnf(c_5884,plain,
    ( ~ p2(sP13_iProver_def,X0_15)
    | p2(sP23_iProver_def,X0_15) ),
    inference(superposition,[status(thm)],[c_575,c_568]) ).

cnf(c_5885,plain,
    ( ~ p2(sP24_iProver_def,X0_15)
    | p2(sP23_iProver_def,X0_15) ),
    inference(superposition,[status(thm)],[c_576,c_568]) ).

cnf(c_5989,plain,
    ( ~ p20(f14(f11(X0_13)),f14(f11(c22)))
    | ~ p2(f13(f11(X0_13)),f13(sP3_iProver_def))
    | ~ p2(f12(f11(X0_13)),sP5_iProver_def)
    | ~ p2(f12(f11(c22)),sP5_iProver_def)
    | p21(f17(X0_13),f17(c22)) ),
    inference(superposition,[status(thm)],[c_488,c_580]) ).

cnf(c_5996,plain,
    ( ~ p2(f12(f11(X0_13)),sP5_iProver_def)
    | ~ p2(f13(f11(X0_13)),sP14_iProver_def)
    | ~ p20(f14(f11(X0_13)),sP11_iProver_def)
    | ~ p2(sP4_iProver_def,sP5_iProver_def)
    | p21(f17(X0_13),sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_5989,c_486,c_488,c_489,c_496,c_499]) ).

cnf(c_5997,plain,
    ( ~ p2(f12(f11(X0_13)),sP5_iProver_def)
    | ~ p2(f13(f11(X0_13)),sP14_iProver_def)
    | ~ p20(f14(f11(X0_13)),sP11_iProver_def)
    | p21(f17(X0_13),sP1_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5996,c_550]) ).

cnf(c_6101,plain,
    p2(sP23_iProver_def,sP14_iProver_def),
    inference(superposition,[status(thm)],[c_555,c_5884]) ).

cnf(c_6115,plain,
    p2(sP23_iProver_def,sP24_iProver_def),
    inference(superposition,[status(thm)],[c_546,c_5885]) ).

cnf(c_6361,plain,
    ( ~ p2(sP23_iProver_def,X0_15)
    | p2(sP24_iProver_def,X0_15) ),
    inference(superposition,[status(thm)],[c_6115,c_568]) ).

cnf(c_7007,plain,
    ( ~ p2(f13(f11(c25)),sP14_iProver_def)
    | ~ p20(f14(f11(c25)),sP11_iProver_def)
    | ~ p2(f12(sP6_iProver_def),sP5_iProver_def)
    | p21(f17(c25),sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_491,c_5997]) ).

cnf(c_7011,plain,
    ( ~ p2(sP7_iProver_def,sP5_iProver_def)
    | ~ p2(sP24_iProver_def,sP14_iProver_def)
    | ~ p20(sP10_iProver_def,sP11_iProver_def)
    | p21(sP0_iProver_def,sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_7007,c_485,c_491,c_492,c_495,c_509]) ).

cnf(c_7012,plain,
    ~ p2(sP24_iProver_def,sP14_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_7011,c_548,c_553,c_551]) ).

cnf(c_11842,plain,
    p2(sP24_iProver_def,sP14_iProver_def),
    inference(superposition,[status(thm)],[c_6101,c_6361]) ).

cnf(c_11844,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11842,c_7012]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN646-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jun 23 22:12:09 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 17.29/3.17  % SZS status Started for theBenchmark.p
% 17.29/3.17  % SZS status Unsatisfiable for theBenchmark.p
% 17.29/3.17  
% 17.29/3.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.29/3.17  
% 17.29/3.17  ------  iProver source info
% 17.29/3.17  
% 17.29/3.17  git: date: 2024-06-12 09:56:46 +0000
% 17.29/3.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 17.29/3.17  git: non_committed_changes: false
% 17.29/3.17  
% 17.29/3.17  ------ Parsing...successful
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 17.29/3.17  
% 17.29/3.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.29/3.17  
% 17.29/3.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.29/3.17  ------ Proving...
% 17.29/3.17  ------ Problem Properties 
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  clauses                                 100
% 17.29/3.17  conjectures                             42
% 17.29/3.17  EPR                                     29
% 17.29/3.17  Horn                                    100
% 17.29/3.17  unary                                   79
% 17.29/3.17  binary                                  9
% 17.29/3.17  lits                                    139
% 17.29/3.17  lits eq                                 58
% 17.29/3.17  fd_pure                                 0
% 17.29/3.17  fd_pseudo                               0
% 17.29/3.17  fd_cond                                 0
% 17.29/3.17  fd_pseudo_cond                          0
% 17.29/3.17  AC symbols                              0
% 17.29/3.17  
% 17.29/3.17  ------ Input Options Time Limit: Unbounded
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  ------ 
% 17.29/3.17  Current options:
% 17.29/3.17  ------ 
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  ------ Proving...
% 17.29/3.17  
% 17.29/3.17  
% 17.29/3.17  % SZS status Unsatisfiable for theBenchmark.p
% 17.29/3.17  
% 17.29/3.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.29/3.17  
% 17.29/3.18  
%------------------------------------------------------------------------------