TSTP Solution File: BOO071-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 : Wed Aug 30 18:09:24 EDT 2023

% Result   : Unsatisfiable 3.79s 1.16s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   3 RR)
%            Number of literals    :   18 (  17 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   64 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,negated_conjecture,
    multiply(inverse(b),b,a) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms_5) ).

cnf(c_95,plain,
    multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_129,plain,
    multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X0) = X1,
    inference(superposition,[status(thm)],[c_95,c_49]) ).

cnf(c_186,plain,
    multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),multiply(X5,inverse(multiply(X4,inverse(X4),X6)),X6),multiply(X2,X3,inverse(X4)))),multiply(X3,X5,X2)) = X1,
    inference(superposition,[status(thm)],[c_129,c_49]) ).

cnf(c_427,plain,
    multiply(multiply(X0,inverse(X0),X1),inverse(X2),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X3,X5),multiply(inverse(X3),inverse(multiply(X5,inverse(X5),X6)),X6),multiply(X4,X3,inverse(X5)))),X2),X3)) = X1,
    inference(superposition,[status(thm)],[c_186,c_49]) ).

cnf(c_1077,plain,
    multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
    inference(superposition,[status(thm)],[c_186,c_427]) ).

cnf(c_1420,plain,
    multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
    inference(superposition,[status(thm)],[c_1077,c_1077]) ).

cnf(c_1467,plain,
    multiply(inverse(X0),X1,X0) = X1,
    inference(light_normalisation,[status(thm)],[c_1420,c_1077]) ).

cnf(c_1476,plain,
    multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
    inference(demodulation,[status(thm)],[c_129,c_1467]) ).

cnf(c_1659,plain,
    inverse(multiply(X0,inverse(X0),X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_1476,c_1467]) ).

cnf(c_1665,plain,
    multiply(X0,inverse(X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_1476,c_1659]) ).

cnf(c_1700,plain,
    multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = X0,
    inference(superposition,[status(thm)],[c_1665,c_49]) ).

cnf(c_1713,plain,
    multiply(X0,inverse(X0),X1) = X1,
    inference(demodulation,[status(thm)],[c_49,c_1700]) ).

cnf(c_1728,plain,
    inverse(inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_1467,c_1713]) ).

cnf(c_1800,plain,
    multiply(inverse(X0),X0,X1) = X1,
    inference(superposition,[status(thm)],[c_1728,c_1713]) ).

cnf(c_1803,plain,
    a != a,
    inference(demodulation,[status(thm)],[c_50,c_1800]) ).

cnf(c_1804,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1803]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n016.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 : Sun Aug 27 08:40:28 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.79/1.16  % SZS status Started for theBenchmark.p
% 3.79/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.16  
% 3.79/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.79/1.16  
% 3.79/1.16  ------  iProver source info
% 3.79/1.16  
% 3.79/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.79/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.79/1.16  git: non_committed_changes: false
% 3.79/1.16  git: last_make_outside_of_git: false
% 3.79/1.16  
% 3.79/1.16  ------ Parsing...successful
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.79/1.16  
% 3.79/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.16  
% 3.79/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.79/1.16  ------ Proving...
% 3.79/1.16  ------ Problem Properties 
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  clauses                                 2
% 3.79/1.16  conjectures                             1
% 3.79/1.16  EPR                                     0
% 3.79/1.16  Horn                                    2
% 3.79/1.16  unary                                   2
% 3.79/1.16  binary                                  0
% 3.79/1.16  lits                                    2
% 3.79/1.16  lits eq                                 2
% 3.79/1.16  fd_pure                                 0
% 3.79/1.16  fd_pseudo                               0
% 3.79/1.16  fd_cond                                 0
% 3.79/1.16  fd_pseudo_cond                          0
% 3.79/1.16  AC symbols                              0
% 3.79/1.16  
% 3.79/1.16  ------ Input Options Time Limit: Unbounded
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  ------ 
% 3.79/1.16  Current options:
% 3.79/1.16  ------ 
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  ------ Proving...
% 3.79/1.16  
% 3.79/1.16  
% 3.79/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.16  
% 3.79/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.16  
% 3.79/1.16  
%------------------------------------------------------------------------------