TSTP Solution File: GRP560-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP560-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 07:00:48 EDT 2024

% Result   : Unsatisfiable 0.47s 1.16s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;   2 RR)
%            Number of literals    :   24 (  23 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   56 (   0 sgn)

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

cnf(c_50,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c_60,plain,
    multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_99,plain,
    multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_103,plain,
    multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
    inference(demodulation,[status(thm)],[c_99,c_50]) ).

cnf(c_104,plain,
    multiply(X0,divide(X1,multiply(X0,divide(divide(X1,X2),divide(X3,X2))))) = X3,
    inference(superposition,[status(thm)],[c_60,c_103]) ).

cnf(c_114,plain,
    multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_60,c_104]) ).

cnf(c_127,plain,
    multiply(X0,divide(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_114,c_104]) ).

cnf(c_135,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_50,c_127]) ).

cnf(c_198,plain,
    multiply(inverse(divide(divide(X0,X1),divide(X2,X1))),X0) = X2,
    inference(superposition,[status(thm)],[c_60,c_135]) ).

cnf(c_252,plain,
    inverse(divide(divide(X0,X1),divide(X2,X1))) = multiply(inverse(X0),X2),
    inference(superposition,[status(thm)],[c_198,c_135]) ).

cnf(c_254,plain,
    multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(demodulation,[status(thm)],[c_198,c_252]) ).

cnf(c_421,plain,
    multiply(inverse(X0),X0) = divide(X1,X1),
    inference(superposition,[status(thm)],[c_114,c_254]) ).

cnf(c_454,plain,
    divide(X0,X0) = divide(X1,X1),
    inference(superposition,[status(thm)],[c_421,c_421]) ).

cnf(c_497,plain,
    multiply(X0,divide(divide(X1,X0),divide(X2,X2))) = X1,
    inference(superposition,[status(thm)],[c_454,c_60]) ).

cnf(c_641,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_497,c_127]) ).

cnf(c_765,plain,
    multiply(divide(X0,X0),X1) = X1,
    inference(superposition,[status(thm)],[c_641,c_127]) ).

cnf(c_826,plain,
    divide(divide(X0,X1),divide(divide(X2,X2),X1)) = X0,
    inference(superposition,[status(thm)],[c_765,c_60]) ).

cnf(c_1118,plain,
    divide(divide(X0,inverse(X1)),multiply(divide(X2,X2),X1)) = X0,
    inference(superposition,[status(thm)],[c_50,c_826]) ).

cnf(c_1153,plain,
    divide(multiply(X0,X1),multiply(divide(X2,X2),X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_1118,c_50]) ).

cnf(c_1249,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_1153,c_765]) ).

cnf(c_1272,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_1249,c_127]) ).

cnf(c_1280,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_1272]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP560-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n027.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 : Thu Jun 20 10:38:54 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 0.47/1.16  % SZS status Started for theBenchmark.p
% 0.47/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16  
% 0.47/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.16  
% 0.47/1.16  ------  iProver source info
% 0.47/1.16  
% 0.47/1.16  git: date: 2024-06-12 09:56:46 +0000
% 0.47/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.47/1.16  git: non_committed_changes: false
% 0.47/1.16  
% 0.47/1.16  ------ Parsing...successful
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.16  
% 0.47/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.16  
% 0.47/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.47/1.16  ------ Proving...
% 0.47/1.16  ------ Problem Properties 
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  clauses                                 3
% 0.47/1.16  conjectures                             1
% 0.47/1.16  EPR                                     0
% 0.47/1.16  Horn                                    3
% 0.47/1.16  unary                                   3
% 0.47/1.16  binary                                  0
% 0.47/1.16  lits                                    3
% 0.47/1.16  lits eq                                 3
% 0.47/1.16  fd_pure                                 0
% 0.47/1.16  fd_pseudo                               0
% 0.47/1.16  fd_cond                                 0
% 0.47/1.16  fd_pseudo_cond                          0
% 0.47/1.16  AC symbols                              0
% 0.47/1.16  
% 0.47/1.16  ------ Input Options Time Limit: Unbounded
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  ------ 
% 0.47/1.16  Current options:
% 0.47/1.16  ------ 
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  ------ Proving...
% 0.47/1.16  
% 0.47/1.16  
% 0.47/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16  
% 0.47/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16  
% 0.47/1.16  
%------------------------------------------------------------------------------