TSTP Solution File: BOO074-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : BOO074-1 : TPTP v8.2.0. Released v2.6.0.
% 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 : Mon Jun 24 04:37:15 EDT 2024

% Result   : Unsatisfiable 11.73s 2.15s
% Output   : CNFRefutation 11.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   42 (  42 unt;   0 nHn;   4 RR)
%            Number of literals    :   42 (  41 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   85 (  25 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dn1) ).

cnf(c_50,negated_conjecture,
    add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',huntinton_3) ).

cnf(c_98,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X2)),inverse(X0))),X0)) = inverse(X0),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_104,plain,
    inverse(add(inverse(add(X0,inverse(X0))),X0)) = inverse(X0),
    inference(superposition,[status(thm)],[c_49,c_98]) ).

cnf(c_135,plain,
    inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
    inference(superposition,[status(thm)],[c_104,c_49]) ).

cnf(c_195,plain,
    inverse(add(inverse(add(X0,X1)),inverse(add(inverse(X0),inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1,
    inference(superposition,[status(thm)],[c_135,c_49]) ).

cnf(c_199,plain,
    inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,X2)))) = X2,
    inference(superposition,[status(thm)],[c_135,c_49]) ).

cnf(c_316,plain,
    inverse(add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1)))) = X1,
    inference(superposition,[status(thm)],[c_135,c_199]) ).

cnf(c_332,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X2)))),X3)),X0)),inverse(add(X0,X2)))) = X0,
    inference(superposition,[status(thm)],[c_199,c_49]) ).

cnf(c_475,plain,
    inverse(add(inverse(add(X0,X1)),inverse(add(inverse(add(X2,X0)),inverse(add(inverse(X1),inverse(add(X1,X3)))))))) = X1,
    inference(superposition,[status(thm)],[c_316,c_49]) ).

cnf(c_480,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(X0,inverse(add(X0,X1)))),X2)),X0)),inverse(add(X0,X1)))) = X0,
    inference(superposition,[status(thm)],[c_316,c_49]) ).

cnf(c_668,plain,
    inverse(add(X0,inverse(add(X1,inverse(add(inverse(inverse(add(inverse(X1),inverse(add(inverse(X0),inverse(add(X0,X2))))))),inverse(add(inverse(add(inverse(X1),inverse(add(inverse(X0),inverse(add(X0,X2)))))),X3)))))))) = inverse(add(inverse(X1),inverse(add(inverse(X0),inverse(add(X0,X2)))))),
    inference(superposition,[status(thm)],[c_195,c_49]) ).

cnf(c_935,plain,
    inverse(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(add(X0,X1)))) = X0,
    inference(superposition,[status(thm)],[c_316,c_480]) ).

cnf(c_1428,plain,
    inverse(add(inverse(add(inverse(X0),X0)),inverse(X0))) = X0,
    inference(superposition,[status(thm)],[c_480,c_475]) ).

cnf(c_1674,plain,
    inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))) = inverse(X0),
    inference(superposition,[status(thm)],[c_1428,c_199]) ).

cnf(c_1919,plain,
    inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1)))) = X1,
    inference(superposition,[status(thm)],[c_1674,c_199]) ).

cnf(c_1920,plain,
    inverse(add(inverse(X0),inverse(X0))) = X0,
    inference(superposition,[status(thm)],[c_1674,c_135]) ).

cnf(c_1946,plain,
    inverse(add(X0,X0)) = inverse(X0),
    inference(demodulation,[status(thm)],[c_1674,c_1920]) ).

cnf(c_2140,plain,
    inverse(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(X0))) = X0,
    inference(superposition,[status(thm)],[c_1946,c_199]) ).

cnf(c_2253,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_1920,c_1946]) ).

cnf(c_2263,plain,
    add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,X2))) = inverse(X2),
    inference(superposition,[status(thm)],[c_199,c_2253]) ).

cnf(c_2264,plain,
    add(inverse(add(X0,X1)),inverse(add(inverse(X0),X1))) = inverse(X1),
    inference(superposition,[status(thm)],[c_316,c_2253]) ).

cnf(c_2673,plain,
    add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1))) = inverse(X1),
    inference(superposition,[status(thm)],[c_1919,c_2253]) ).

cnf(c_2816,plain,
    add(inverse(add(inverse(add(X0,X1)),X0)),inverse(X0)) = inverse(X0),
    inference(superposition,[status(thm)],[c_2140,c_2253]) ).

cnf(c_3263,plain,
    add(inverse(add(inverse(add(inverse(X0),X1)),inverse(X0))),X0) = X0,
    inference(superposition,[status(thm)],[c_2253,c_2816]) ).

cnf(c_3542,plain,
    inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X2)),inverse(add(X2,X0)))) = X2,
    inference(superposition,[status(thm)],[c_2673,c_332]) ).

cnf(c_3617,plain,
    inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X2,X0)))) = X2,
    inference(light_normalisation,[status(thm)],[c_3542,c_2253]) ).

cnf(c_6182,plain,
    add(X0,add(X0,X1)) = add(X0,X1),
    inference(superposition,[status(thm)],[c_935,c_3263]) ).

cnf(c_6505,plain,
    add(inverse(add(X0,X1)),inverse(X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_2264,c_6182]) ).

cnf(c_6557,plain,
    add(inverse(add(X0,inverse(X1))),X1) = X1,
    inference(superposition,[status(thm)],[c_2253,c_6505]) ).

cnf(c_7763,plain,
    add(inverse(X0),inverse(add(X1,X0))) = inverse(X0),
    inference(superposition,[status(thm)],[c_6557,c_2263]) ).

cnf(c_8055,plain,
    add(X0,inverse(add(X1,inverse(X0)))) = X0,
    inference(superposition,[status(thm)],[c_2253,c_7763]) ).

cnf(c_8996,plain,
    inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X1,X0)))) = X1,
    inference(superposition,[status(thm)],[c_8055,c_3617]) ).

cnf(c_9044,plain,
    add(add(X0,X1),X0) = add(X0,X1),
    inference(superposition,[status(thm)],[c_3617,c_8055]) ).

cnf(c_9731,plain,
    add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
    inference(superposition,[status(thm)],[c_9044,c_7763]) ).

cnf(c_9734,plain,
    add(X0,inverse(add(inverse(X0),X1))) = X0,
    inference(superposition,[status(thm)],[c_9044,c_8055]) ).

cnf(c_9926,plain,
    inverse(add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0))))) = X1,
    inference(superposition,[status(thm)],[c_2253,c_8996]) ).

cnf(c_10169,plain,
    add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0)))) = inverse(X1),
    inference(superposition,[status(thm)],[c_9926,c_2253]) ).

cnf(c_12646,plain,
    inverse(add(inverse(X0),X1)) = inverse(add(X1,inverse(X0))),
    inference(demodulation,[status(thm)],[c_668,c_2253,c_9731,c_9734]) ).

cnf(c_12647,plain,
    add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != a,
    inference(demodulation,[status(thm)],[c_50,c_12646]) ).

cnf(c_12989,plain,
    a != a,
    inference(demodulation,[status(thm)],[c_12647,c_2253,c_10169]) ).

cnf(c_12990,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_12989]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO074-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.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 : Tue Jun 18 20:02:24 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.73/2.15  % SZS status Started for theBenchmark.p
% 11.73/2.15  % SZS status Unsatisfiable for theBenchmark.p
% 11.73/2.15  
% 11.73/2.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.73/2.15  
% 11.73/2.15  ------  iProver source info
% 11.73/2.15  
% 11.73/2.15  git: date: 2024-06-12 09:56:46 +0000
% 11.73/2.15  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 11.73/2.15  git: non_committed_changes: false
% 11.73/2.15  
% 11.73/2.15  ------ Parsing...successful
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 11.73/2.15  
% 11.73/2.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.73/2.15  
% 11.73/2.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 11.73/2.15  ------ Proving...
% 11.73/2.15  ------ Problem Properties 
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  clauses                                 2
% 11.73/2.15  conjectures                             1
% 11.73/2.15  EPR                                     0
% 11.73/2.15  Horn                                    2
% 11.73/2.15  unary                                   2
% 11.73/2.15  binary                                  0
% 11.73/2.15  lits                                    2
% 11.73/2.15  lits eq                                 2
% 11.73/2.15  fd_pure                                 0
% 11.73/2.15  fd_pseudo                               0
% 11.73/2.15  fd_cond                                 0
% 11.73/2.15  fd_pseudo_cond                          0
% 11.73/2.15  AC symbols                              0
% 11.73/2.15  
% 11.73/2.15  ------ Input Options Time Limit: Unbounded
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  ------ 
% 11.73/2.15  Current options:
% 11.73/2.15  ------ 
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  ------ Proving...
% 11.73/2.15  
% 11.73/2.15  
% 11.73/2.15  % SZS status Unsatisfiable for theBenchmark.p
% 11.73/2.15  
% 11.73/2.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.73/2.15  
% 11.73/2.15  
%------------------------------------------------------------------------------