TSTP Solution File: GRP480-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP480-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Thu Aug 31 01:00:05 EDT 2023

% Result   : Unsatisfiable 26.52s 3.98s
% Output   : CNFRefutation 26.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   57 (  57 unt;   0 nHn;   3 RR)
%            Number of literals    :   57 (  56 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  190 (   0 sgn)

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

cnf(c_50,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(c_111,plain,
    inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_112,plain,
    multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_420,plain,
    divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
    inference(superposition,[status(thm)],[c_111,c_49]) ).

cnf(c_444,plain,
    inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,divide(X3,X4)),divide(X1,divide(X3,X4))))) = X2,
    inference(superposition,[status(thm)],[c_111,c_49]) ).

cnf(c_525,plain,
    divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
    inference(superposition,[status(thm)],[c_50,c_420]) ).

cnf(c_529,plain,
    divide(divide(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = inverse(X2),
    inference(superposition,[status(thm)],[c_50,c_420]) ).

cnf(c_605,plain,
    divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
    inference(superposition,[status(thm)],[c_50,c_525]) ).

cnf(c_656,plain,
    divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3)) = X2,
    inference(superposition,[status(thm)],[c_50,c_605]) ).

cnf(c_658,plain,
    divide(multiply(inverse(divide(divide(multiply(inverse(X0),X0),X1),X2)),X3),multiply(X1,X3)) = X2,
    inference(superposition,[status(thm)],[c_50,c_605]) ).

cnf(c_1002,plain,
    divide(multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = X2,
    inference(superposition,[status(thm)],[c_50,c_656]) ).

cnf(c_1050,plain,
    divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2)) = X1,
    inference(superposition,[status(thm)],[c_605,c_658]) ).

cnf(c_1760,plain,
    inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = X2,
    inference(superposition,[status(thm)],[c_1002,c_444]) ).

cnf(c_1896,plain,
    divide(divide(X0,X1),divide(X2,X1)) = divide(multiply(X0,X3),multiply(X2,X3)),
    inference(superposition,[status(thm)],[c_1760,c_605]) ).

cnf(c_1898,plain,
    divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
    inference(superposition,[status(thm)],[c_1760,c_420]) ).

cnf(c_2118,plain,
    divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),multiply(X2,X1))),X3),multiply(X4,X3)) = divide(X2,X4),
    inference(superposition,[status(thm)],[c_1896,c_605]) ).

cnf(c_2133,plain,
    inverse(divide(divide(divide(X0,X0),X1),divide(multiply(X2,X3),multiply(X1,X3)))) = X2,
    inference(superposition,[status(thm)],[c_1896,c_1760]) ).

cnf(c_2135,plain,
    divide(multiply(X0,X1),multiply(X2,X1)) = divide(multiply(X0,X3),multiply(X2,X3)),
    inference(superposition,[status(thm)],[c_1896,c_1896]) ).

cnf(c_4093,plain,
    multiply(X0,divide(divide(divide(X1,X1),X2),divide(multiply(X3,X4),multiply(X2,X4)))) = divide(X0,X3),
    inference(superposition,[status(thm)],[c_2133,c_50]) ).

cnf(c_35737,plain,
    divide(X0,multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X4)))) = multiply(X0,X4),
    inference(superposition,[status(thm)],[c_2118,c_1050]) ).

cnf(c_36310,plain,
    divide(divide(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = multiply(X4,divide(divide(divide(X5,X5),X4),multiply(divide(X6,X6),X2))),
    inference(superposition,[status(thm)],[c_35737,c_420]) ).

cnf(c_36448,plain,
    multiply(X0,divide(divide(divide(X1,X1),X0),multiply(divide(X2,X2),X3))) = inverse(X3),
    inference(light_normalisation,[status(thm)],[c_36310,c_529]) ).

cnf(c_36830,plain,
    inverse(divide(divide(divide(X0,X0),X1),divide(multiply(X2,X3),multiply(X1,X3)))) = multiply(X4,divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2))),
    inference(superposition,[status(thm)],[c_4093,c_36448]) ).

cnf(c_37066,plain,
    multiply(X0,divide(divide(divide(X1,X1),X0),divide(divide(X2,X2),X3))) = X3,
    inference(light_normalisation,[status(thm)],[c_36830,c_2133]) ).

cnf(c_37303,plain,
    multiply(X0,divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))) = X0,
    inference(superposition,[status(thm)],[c_1898,c_37066]) ).

cnf(c_39348,plain,
    divide(multiply(X0,divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))),X4) = divide(multiply(X0,X5),multiply(X4,X5)),
    inference(superposition,[status(thm)],[c_37303,c_2135]) ).

cnf(c_39383,plain,
    divide(multiply(X0,X1),multiply(X2,X1)) = divide(X0,X2),
    inference(light_normalisation,[status(thm)],[c_39348,c_37303]) ).

cnf(c_39406,plain,
    multiply(X0,divide(divide(divide(X1,X1),X2),divide(X3,X2))) = divide(X0,X3),
    inference(demodulation,[status(thm)],[c_4093,c_39383]) ).

cnf(c_39417,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(demodulation,[status(thm)],[c_37303,c_39406]) ).

cnf(c_39680,plain,
    divide(X0,multiply(inverse(X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_50,c_39417]) ).

cnf(c_39741,plain,
    divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = inverse(divide(divide(X4,X4),X2)),
    inference(superposition,[status(thm)],[c_39417,c_111]) ).

cnf(c_39888,plain,
    inverse(divide(divide(X0,X0),X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_39741,c_49]) ).

cnf(c_40626,plain,
    inverse(divide(multiply(inverse(X0),X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_39680,c_39888]) ).

cnf(c_40627,plain,
    divide(divide(X0,divide(divide(X1,X1),X2)),X2) = X0,
    inference(superposition,[status(thm)],[c_39888,c_49]) ).

cnf(c_40646,plain,
    multiply(X0,divide(divide(X1,X1),X2)) = divide(X0,X2),
    inference(superposition,[status(thm)],[c_39888,c_50]) ).

cnf(c_55664,plain,
    inverse(divide(inverse(X0),X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_39383,c_40626]) ).

cnf(c_55898,plain,
    multiply(X0,divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X0)))) = inverse(X3),
    inference(superposition,[status(thm)],[c_49,c_55664]) ).

cnf(c_55899,plain,
    inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[status(thm)],[c_50,c_55664]) ).

cnf(c_55978,plain,
    multiply(X0,divide(divide(X1,X1),X2)) = inverse(divide(X2,X0)),
    inference(superposition,[status(thm)],[c_39888,c_55664]) ).

cnf(c_56091,plain,
    inverse(divide(X0,X1)) = divide(X1,X0),
    inference(light_normalisation,[status(thm)],[c_55978,c_40646]) ).

cnf(c_56632,plain,
    multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = inverse(inverse(X2)),
    inference(superposition,[status(thm)],[c_55898,c_55899]) ).

cnf(c_56654,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_56632,c_112]) ).

cnf(c_56698,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(superposition,[status(thm)],[c_56654,c_50]) ).

cnf(c_56729,plain,
    divide(divide(X0,X0),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_39417,c_56091]) ).

cnf(c_56756,plain,
    divide(divide(X0,inverse(X1)),X1) = X0,
    inference(demodulation,[status(thm)],[c_40627,c_56729]) ).

cnf(c_56761,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_56756,c_50]) ).

cnf(c_56788,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_56761,c_50]) ).

cnf(c_56789,plain,
    divide(X0,multiply(X1,X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_56761,c_56091]) ).

cnf(c_56792,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_56788,c_56698]) ).

cnf(c_56804,plain,
    multiply(divide(X0,X1),multiply(X1,X2)) = multiply(X0,X2),
    inference(superposition,[status(thm)],[c_39383,c_56792]) ).

cnf(c_57087,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_56789,c_56792]) ).

cnf(c_60617,plain,
    multiply(divide(X0,inverse(X1)),X2) = multiply(X0,multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_57087,c_56804]) ).

cnf(c_60626,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(light_normalisation,[status(thm)],[c_60617,c_50]) ).

cnf(c_60651,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm)],[c_51,c_60626]) ).

cnf(c_60653,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_60651]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP480-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.09/0.31  % Computer : n031.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue Aug 29 02:52:25 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.38  Running UEQ theorem proving
% 0.15/0.38  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.52/3.98  % SZS status Started for theBenchmark.p
% 26.52/3.98  % SZS status Unsatisfiable for theBenchmark.p
% 26.52/3.98  
% 26.52/3.98  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 26.52/3.98  
% 26.52/3.98  ------  iProver source info
% 26.52/3.98  
% 26.52/3.98  git: date: 2023-05-31 18:12:56 +0000
% 26.52/3.98  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 26.52/3.98  git: non_committed_changes: false
% 26.52/3.98  git: last_make_outside_of_git: false
% 26.52/3.98  
% 26.52/3.98  ------ Parsing...successful
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 26.52/3.98  
% 26.52/3.98  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 26.52/3.98  
% 26.52/3.98  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 26.52/3.98  ------ Proving...
% 26.52/3.98  ------ Problem Properties 
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  clauses                                 3
% 26.52/3.98  conjectures                             1
% 26.52/3.98  EPR                                     0
% 26.52/3.98  Horn                                    3
% 26.52/3.98  unary                                   3
% 26.52/3.98  binary                                  0
% 26.52/3.98  lits                                    3
% 26.52/3.98  lits eq                                 3
% 26.52/3.98  fd_pure                                 0
% 26.52/3.98  fd_pseudo                               0
% 26.52/3.98  fd_cond                                 0
% 26.52/3.98  fd_pseudo_cond                          0
% 26.52/3.98  AC symbols                              0
% 26.52/3.98  
% 26.52/3.98  ------ Input Options Time Limit: Unbounded
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  ------ 
% 26.52/3.98  Current options:
% 26.52/3.98  ------ 
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  ------ Proving...
% 26.52/3.98  
% 26.52/3.98  
% 26.52/3.98  % SZS status Unsatisfiable for theBenchmark.p
% 26.52/3.98  
% 26.52/3.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.52/3.98  
% 26.52/3.98  
%------------------------------------------------------------------------------