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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP440-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:22:36 EDT 2024

% Result   : Unsatisfiable 39.29s 5.60s
% Output   : CNFRefutation 39.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   43 (  43 unt;   0 nHn;   7 RR)
%            Number of literals    :   43 (  42 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   14 (   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   :  145 (   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/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/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_1408,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_1808,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_1408,c_1408]) ).

cnf(c_2521,plain,
    multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
    inference(superposition,[status(thm)],[c_1408,c_1808]) ).

cnf(c_2838,plain,
    inverse(multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X0,multiply(X1,multiply(X4,inverse(multiply(inverse(X2),X4))))))))))) = X3,
    inference(superposition,[status(thm)],[c_2521,c_49]) ).

cnf(c_3398,plain,
    inverse(multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(X2,X1)))))) = X2,
    inference(superposition,[status(thm)],[c_1408,c_2838]) ).

cnf(c_4030,plain,
    multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3))) = X0,
    inference(superposition,[status(thm)],[c_3398,c_1408]) ).

cnf(c_4195,plain,
    inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(X5,X4)))),X5))))))))) = X2,
    inference(superposition,[status(thm)],[c_4030,c_49]) ).

cnf(c_11815,plain,
    inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,X0)))))) = X2,
    inference(superposition,[status(thm)],[c_4030,c_4195]) ).

cnf(c_12804,plain,
    inverse(multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2)))) = inverse(X0),
    inference(superposition,[status(thm)],[c_3398,c_11815]) ).

cnf(c_12864,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(X2,X3)))),X2)))) = X3,
    inference(superposition,[status(thm)],[c_11815,c_49]) ).

cnf(c_12946,plain,
    multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(X2,inverse(X3))))),X2))) = X3,
    inference(superposition,[status(thm)],[c_11815,c_1408]) ).

cnf(c_13381,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),X2)),inverse(X3))))) = multiply(X3,multiply(X4,inverse(multiply(X2,X4)))),
    inference(superposition,[status(thm)],[c_12804,c_49]) ).

cnf(c_13457,plain,
    multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = multiply(multiply(X3,multiply(X4,inverse(multiply(X5,X4)))),multiply(X6,multiply(inverse(X6),X5))),
    inference(superposition,[status(thm)],[c_12804,c_1408]) ).

cnf(c_13491,plain,
    multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2))) = X0,
    inference(light_normalisation,[status(thm)],[c_13457,c_1408]) ).

cnf(c_15792,plain,
    multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),multiply(X3,inverse(multiply(X2,X3)))) = X0,
    inference(superposition,[status(thm)],[c_13381,c_49]) ).

cnf(c_15927,plain,
    multiply(X0,multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)))) = X2,
    inference(superposition,[status(thm)],[c_13381,c_12864]) ).

cnf(c_16827,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),inverse(X3))))) = multiply(X3,multiply(X4,multiply(inverse(X4),X2))),
    inference(superposition,[status(thm)],[c_15792,c_49]) ).

cnf(c_16902,plain,
    multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(X2))))),X0) = X2,
    inference(superposition,[status(thm)],[c_15792,c_2521]) ).

cnf(c_16945,plain,
    inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),X2)))),X0)) = X2,
    inference(superposition,[status(thm)],[c_15792,c_11815]) ).

cnf(c_18535,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X3)),X0))),inverse(X3))))) = X2,
    inference(superposition,[status(thm)],[c_15927,c_49]) ).

cnf(c_18684,plain,
    multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X0))))) = X2,
    inference(superposition,[status(thm)],[c_15927,c_13491]) ).

cnf(c_18716,plain,
    multiply(X0,multiply(X1,multiply(X2,inverse(multiply(inverse(inverse(X1)),X2))))) = X0,
    inference(superposition,[status(thm)],[c_15927,c_12946]) ).

cnf(c_19845,plain,
    multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
    inference(superposition,[status(thm)],[c_16945,c_15927]) ).

cnf(c_25133,plain,
    multiply(inverse(inverse(X0)),inverse(X0)) = multiply(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_18716,c_16902]) ).

cnf(c_25722,plain,
    multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_25133,c_25133]) ).

cnf(c_26306,plain,
    multiply(multiply(inverse(X0),X0),a2) != a2,
    inference(superposition,[status(thm)],[c_25722,c_50]) ).

cnf(c_26435,plain,
    multiply(X0,multiply(inverse(X0),X1)) = multiply(X1,multiply(inverse(X2),X2)),
    inference(superposition,[status(thm)],[c_25722,c_19845]) ).

cnf(c_26511,plain,
    multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X0,
    inference(superposition,[status(thm)],[c_25722,c_18684]) ).

cnf(c_26711,plain,
    multiply(inverse(multiply(X0,multiply(X1,inverse(multiply(inverse(inverse(X0)),X1))))),a2) != a2,
    inference(superposition,[status(thm)],[c_18716,c_26306]) ).

cnf(c_31056,plain,
    multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = multiply(X3,multiply(inverse(X3),X0)),
    inference(superposition,[status(thm)],[c_26435,c_26435]) ).

cnf(c_31063,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_31056,c_26511]) ).

cnf(c_31075,plain,
    multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(demodulation,[status(thm)],[c_16902,c_31063]) ).

cnf(c_31080,plain,
    inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),inverse(X3))))) = multiply(X3,X2),
    inference(demodulation,[status(thm)],[c_16827,c_31063]) ).

cnf(c_31082,plain,
    multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
    inference(demodulation,[status(thm)],[c_18535,c_31080]) ).

cnf(c_31084,plain,
    multiply(inverse(multiply(X0,inverse(X0))),a2) != a2,
    inference(demodulation,[status(thm)],[c_26711,c_31082]) ).

cnf(c_31116,plain,
    multiply(inverse(multiply(a2,inverse(a2))),a2) = a2,
    inference(instantiation,[status(thm)],[c_31075]) ).

cnf(c_31118,plain,
    multiply(inverse(multiply(a2,inverse(a2))),a2) != a2,
    inference(instantiation,[status(thm)],[c_31084]) ).

cnf(c_31119,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_31118,c_31116]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP440-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n003.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 23:50:35 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.16/0.41  Running UEQ theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 39.29/5.60  % SZS status Started for theBenchmark.p
% 39.29/5.60  % SZS status Unsatisfiable for theBenchmark.p
% 39.29/5.60  
% 39.29/5.60  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.29/5.60  
% 39.29/5.60  ------  iProver source info
% 39.29/5.60  
% 39.29/5.60  git: date: 2024-05-02 19:28:25 +0000
% 39.29/5.60  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.29/5.60  git: non_committed_changes: false
% 39.29/5.60  
% 39.29/5.60  ------ Parsing...successful
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 39.29/5.60  
% 39.29/5.60  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 39.29/5.60  
% 39.29/5.60  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 39.29/5.60  ------ Proving...
% 39.29/5.60  ------ Problem Properties 
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  clauses                                 2
% 39.29/5.60  conjectures                             1
% 39.29/5.60  EPR                                     0
% 39.29/5.60  Horn                                    2
% 39.29/5.60  unary                                   2
% 39.29/5.60  binary                                  0
% 39.29/5.60  lits                                    2
% 39.29/5.60  lits eq                                 2
% 39.29/5.60  fd_pure                                 0
% 39.29/5.60  fd_pseudo                               0
% 39.29/5.60  fd_cond                                 0
% 39.29/5.60  fd_pseudo_cond                          0
% 39.29/5.60  AC symbols                              0
% 39.29/5.60  
% 39.29/5.60  ------ Input Options Time Limit: Unbounded
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  ------ 
% 39.29/5.60  Current options:
% 39.29/5.60  ------ 
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  ------ Proving...
% 39.29/5.60  
% 39.29/5.60  
% 39.29/5.60  % SZS status Unsatisfiable for theBenchmark.p
% 39.29/5.60  
% 39.29/5.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.29/5.60  
% 39.29/5.61  
%------------------------------------------------------------------------------