TSTP Solution File: GRP563-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP563-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:22:56 EDT 2024

% Result   : Unsatisfiable 0.43s 1.10s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   33 (  33 unt;   0 nHn;   4 RR)
%            Number of literals    :   33 (  32 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   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   :   75 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(divide(divide(X0,inverse(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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

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

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

cnf(c_101,plain,
    divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_106,plain,
    divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
    inference(superposition,[status(thm)],[c_50,c_99]) ).

cnf(c_131,plain,
    multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[status(thm)],[c_101,c_50]) ).

cnf(c_193,plain,
    divide(divide(X0,divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0) = X2,
    inference(superposition,[status(thm)],[c_131,c_101]) ).

cnf(c_347,plain,
    divide(divide(X0,inverse(X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_60,c_193]) ).

cnf(c_373,plain,
    divide(multiply(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_347,c_50]) ).

cnf(c_405,plain,
    multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(superposition,[status(thm)],[c_373,c_50]) ).

cnf(c_410,plain,
    divide(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_373,c_60]) ).

cnf(c_458,plain,
    multiply(divide(X0,X0),X1) = X1,
    inference(superposition,[status(thm)],[c_410,c_373]) ).

cnf(c_476,plain,
    divide(X0,multiply(inverse(X1),X0)) = X1,
    inference(superposition,[status(thm)],[c_405,c_373]) ).

cnf(c_584,plain,
    divide(multiply(multiply(divide(X0,X0),X1),X2),X2) = X1,
    inference(superposition,[status(thm)],[c_458,c_106]) ).

cnf(c_599,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_584,c_458]) ).

cnf(c_626,plain,
    divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)) = divide(X3,X1),
    inference(superposition,[status(thm)],[c_131,c_599]) ).

cnf(c_629,plain,
    multiply(inverse(X0),X1) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_405,c_599]) ).

cnf(c_636,plain,
    divide(X0,divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_599,c_60]) ).

cnf(c_654,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_131,c_626]) ).

cnf(c_730,plain,
    divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_50,c_636]) ).

cnf(c_911,plain,
    divide(multiply(X0,X1),X2) = multiply(X1,divide(X0,X2)),
    inference(superposition,[status(thm)],[c_60,c_654]) ).

cnf(c_914,plain,
    multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
    inference(superposition,[status(thm)],[c_106,c_654]) ).

cnf(c_916,plain,
    multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_373,c_654]) ).

cnf(c_942,plain,
    multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)),
    inference(demodulation,[status(thm)],[c_51,c_914]) ).

cnf(c_978,plain,
    inverse(inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_476,c_730]) ).

cnf(c_985,plain,
    divide(X0,inverse(X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_978,c_629]) ).

cnf(c_1013,plain,
    divide(multiply(X0,X1),inverse(X2)) = multiply(X1,multiply(X0,X2)),
    inference(superposition,[status(thm)],[c_50,c_911]) ).

cnf(c_1745,plain,
    multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_1013,c_985]) ).

cnf(c_5600,plain,
    multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
    inference(superposition,[status(thm)],[c_916,c_1745]) ).

cnf(c_5697,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
    inference(demodulation,[status(thm)],[c_942,c_5600]) ).

cnf(c_5874,plain,
    $false,
    inference(superposition,[status(thm)],[c_916,c_5697]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP563-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri May  3 00:09:06 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.17/0.44  Running UEQ theorem proving
% 0.17/0.44  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
% 0.43/1.10  % SZS status Started for theBenchmark.p
% 0.43/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.10  
% 0.43/1.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.10  
% 0.43/1.10  ------  iProver source info
% 0.43/1.10  
% 0.43/1.10  git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.10  git: non_committed_changes: false
% 0.43/1.10  
% 0.43/1.10  ------ Parsing...successful
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.43/1.10  
% 0.43/1.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.43/1.10  
% 0.43/1.10  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.43/1.10  ------ Proving...
% 0.43/1.10  ------ Problem Properties 
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  clauses                                 3
% 0.43/1.10  conjectures                             1
% 0.43/1.10  EPR                                     0
% 0.43/1.10  Horn                                    3
% 0.43/1.10  unary                                   3
% 0.43/1.10  binary                                  0
% 0.43/1.10  lits                                    3
% 0.43/1.10  lits eq                                 3
% 0.43/1.10  fd_pure                                 0
% 0.43/1.10  fd_pseudo                               0
% 0.43/1.10  fd_cond                                 0
% 0.43/1.10  fd_pseudo_cond                          0
% 0.43/1.10  AC symbols                              0
% 0.43/1.10  
% 0.43/1.10  ------ Input Options Time Limit: Unbounded
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  ------ 
% 0.43/1.10  Current options:
% 0.43/1.10  ------ 
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  ------ Proving...
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.10  
% 0.43/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.10  
% 0.43/1.10  
%------------------------------------------------------------------------------