TSTP Solution File: GRP440-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 07:00:19 EDT 2024

% Result   : Unsatisfiable 30.77s 4.63s
% Output   : CNFRefutation 30.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   29 (  29 unt;   0 nHn;   7 RR)
%            Number of literals    :   29 (  28 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   13 (   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   :  102 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_92,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X2),inverse(multiply(X3,multiply(X4,X2))))),X3)))) = X4,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_103,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = X2,
    inference(superposition,[status(thm)],[c_92,c_49]) ).

cnf(c_119,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X2,multiply(X6,X8)))))),
    inference(superposition,[status(thm)],[c_49,c_103]) ).

cnf(c_2432,plain,
    multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = X3,
    inference(superposition,[status(thm)],[c_119,c_103]) ).

cnf(c_2450,plain,
    inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5))))) = X2,
    inference(superposition,[status(thm)],[c_119,c_49]) ).

cnf(c_3290,plain,
    multiply(X0,multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(X0,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(inverse(X2),multiply(inverse(X1),X5))))))))))) = X3,
    inference(superposition,[status(thm)],[c_2432,c_2432]) ).

cnf(c_6167,plain,
    multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
    inference(superposition,[status(thm)],[c_2432,c_3290]) ).

cnf(c_7038,plain,
    multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(inverse(X4),X2))))),X3))) = X4,
    inference(superposition,[status(thm)],[c_49,c_6167]) ).

cnf(c_7157,plain,
    multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))) = X1,
    inference(superposition,[status(thm)],[c_6167,c_6167]) ).

cnf(c_8934,plain,
    multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3))) = X1,
    inference(superposition,[status(thm)],[c_2450,c_7157]) ).

cnf(c_9142,plain,
    multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X0,
    inference(superposition,[status(thm)],[c_8934,c_2432]) ).

cnf(c_9151,plain,
    multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X1,
    inference(superposition,[status(thm)],[c_8934,c_6167]) ).

cnf(c_15976,plain,
    multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),X3))),X2)))),multiply(X4,inverse(X1)))) = X0,
    inference(superposition,[status(thm)],[c_6167,c_9142]) ).

cnf(c_25189,plain,
    multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_15976,c_8934]) ).

cnf(c_25198,plain,
    multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X0,
    inference(superposition,[status(thm)],[c_15976,c_9142]) ).

cnf(c_25199,plain,
    multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X2))))) = X1,
    inference(superposition,[status(thm)],[c_15976,c_9151]) ).

cnf(c_26873,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X2),X2),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
    inference(superposition,[status(thm)],[c_25189,c_49]) ).

cnf(c_26883,plain,
    multiply(multiply(inverse(X0),X0),a2) != a2,
    inference(superposition,[status(thm)],[c_25189,c_50]) ).

cnf(c_31257,plain,
    multiply(multiply(X0,multiply(X1,multiply(X2,multiply(multiply(inverse(X3),X3),inverse(multiply(X0,multiply(X1,X2))))))),a2) != a2,
    inference(superposition,[status(thm)],[c_26873,c_26883]) ).

cnf(c_34514,plain,
    multiply(X0,multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))) = X0,
    inference(superposition,[status(thm)],[c_25189,c_25198]) ).

cnf(c_37561,plain,
    multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
    inference(superposition,[status(thm)],[c_34514,c_34514]) ).

cnf(c_37564,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_25199,c_37561]) ).

cnf(c_37567,plain,
    multiply(multiply(X0,multiply(multiply(inverse(X0),X1),inverse(multiply(X2,multiply(inverse(X3),X1))))),X2) = X3,
    inference(demodulation,[status(thm)],[c_7038,c_37564]) ).

cnf(c_37603,plain,
    multiply(multiply(a2,multiply(multiply(inverse(a2),a2),inverse(multiply(a2,multiply(inverse(a2),a2))))),a2) = a2,
    inference(instantiation,[status(thm)],[c_37567]) ).

cnf(c_49982,plain,
    multiply(multiply(X0,multiply(multiply(inverse(X1),X1),inverse(multiply(X0,multiply(inverse(X2),X2))))),a2) != a2,
    inference(superposition,[status(thm)],[c_37564,c_31257]) ).

cnf(c_50028,plain,
    multiply(multiply(a2,multiply(multiply(inverse(a2),a2),inverse(multiply(a2,multiply(inverse(a2),a2))))),a2) != a2,
    inference(instantiation,[status(thm)],[c_49982]) ).

cnf(c_50029,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_50028,c_37603]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.37  % Computer : n025.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8042.1875MB
% 0.12/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Thu Jun 20 08:04:39 EDT 2024
% 0.12/0.37  % CPUTime  : 
% 0.23/0.49  Running UEQ theorem proving
% 0.23/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.77/4.63  % SZS status Started for theBenchmark.p
% 30.77/4.63  % SZS status Unsatisfiable for theBenchmark.p
% 30.77/4.63  
% 30.77/4.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 30.77/4.63  
% 30.77/4.63  ------  iProver source info
% 30.77/4.63  
% 30.77/4.63  git: date: 2024-06-12 09:56:46 +0000
% 30.77/4.63  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 30.77/4.63  git: non_committed_changes: false
% 30.77/4.63  
% 30.77/4.63  ------ Parsing...successful
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 30.77/4.63  
% 30.77/4.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 30.77/4.63  
% 30.77/4.63  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 30.77/4.63  ------ Proving...
% 30.77/4.63  ------ Problem Properties 
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  clauses                                 2
% 30.77/4.63  conjectures                             1
% 30.77/4.63  EPR                                     0
% 30.77/4.63  Horn                                    2
% 30.77/4.63  unary                                   2
% 30.77/4.63  binary                                  0
% 30.77/4.63  lits                                    2
% 30.77/4.63  lits eq                                 2
% 30.77/4.63  fd_pure                                 0
% 30.77/4.63  fd_pseudo                               0
% 30.77/4.63  fd_cond                                 0
% 30.77/4.63  fd_pseudo_cond                          0
% 30.77/4.63  AC symbols                              0
% 30.77/4.63  
% 30.77/4.63  ------ Input Options Time Limit: Unbounded
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  ------ 
% 30.77/4.63  Current options:
% 30.77/4.63  ------ 
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  ------ Proving...
% 30.77/4.63  
% 30.77/4.63  
% 30.77/4.63  % SZS status Unsatisfiable for theBenchmark.p
% 30.77/4.63  
% 30.77/4.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.77/4.63  
% 30.77/4.63  
%------------------------------------------------------------------------------