TSTP Solution File: GRP118-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP118-1 : TPTP v8.2.0. Released v1.2.0.
% 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 : Mon Jun 24 06:57:58 EDT 2024

% Result   : Unsatisfiable 0.46s 1.16s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   30 (  30 unt;   0 nHn;   2 RR)
%            Number of literals    :   30 (  29 equ;   1 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn)

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

cnf(c_50,negated_conjecture,
    multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).

cnf(c_88,plain,
    multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))) = multiply(multiply(X0,X1),X2),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_89,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_94,plain,
    multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_49,c_89]) ).

cnf(c_98,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(multiply(identity,X2),multiply(identity,X2)))) = X1,
    inference(superposition,[status(thm)],[c_49,c_89]) ).

cnf(c_101,plain,
    multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(X2,X2)))),multiply(multiply(identity,multiply(multiply(identity,X2),X3)),multiply(identity,multiply(X3,X3))))) = X1,
    inference(superposition,[status(thm)],[c_49,c_89]) ).

cnf(c_106,plain,
    multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2)))) = multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),
    inference(superposition,[status(thm)],[c_89,c_49]) ).

cnf(c_109,plain,
    multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
    inference(demodulation,[status(thm)],[c_89,c_94]) ).

cnf(c_110,plain,
    multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_94]) ).

cnf(c_142,plain,
    multiply(multiply(X0,multiply(X1,X2)),multiply(identity,X3)) = multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3)),
    inference(superposition,[status(thm)],[c_94,c_94]) ).

cnf(c_145,plain,
    multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
    inference(superposition,[status(thm)],[c_94,c_110]) ).

cnf(c_190,plain,
    multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
    inference(demodulation,[status(thm)],[c_145,c_94]) ).

cnf(c_301,plain,
    multiply(X0,multiply(multiply(X0,multiply(X0,X1)),multiply(multiply(identity,X2),multiply(X2,X2)))) = X1,
    inference(demodulation,[status(thm)],[c_98,c_94,c_142]) ).

cnf(c_305,plain,
    multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,X2),multiply(X2,X2)))) = multiply(X0,multiply(X0,multiply(X1,identity))),
    inference(superposition,[status(thm)],[c_190,c_301]) ).

cnf(c_364,plain,
    multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2)) = X1,
    inference(demodulation,[status(thm)],[c_109,c_94]) ).

cnf(c_370,plain,
    multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3)) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_94,c_364]) ).

cnf(c_379,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_364,c_370]) ).

cnf(c_381,plain,
    multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
    inference(demodulation,[status(thm)],[c_190,c_379]) ).

cnf(c_431,plain,
    multiply(X0,multiply(X1,multiply(identity,multiply(identity,X2)))) = multiply(multiply(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_88,c_142,c_305,c_379]) ).

cnf(c_433,plain,
    multiply(X0,multiply(X1,multiply(X2,multiply(identity,X3)))) = multiply(multiply(X0,multiply(X1,X2)),X3),
    inference(superposition,[status(thm)],[c_94,c_431]) ).

cnf(c_463,plain,
    multiply(multiply(X0,multiply(X1,multiply(identity,X2))),X2) = multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),
    inference(demodulation,[status(thm)],[c_106,c_94,c_433]) ).

cnf(c_469,plain,
    multiply(multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2)))),multiply(identity,X3)) = multiply(multiply(X0,multiply(X1,multiply(identity,X2))),multiply(X2,X3)),
    inference(superposition,[status(thm)],[c_463,c_94]) ).

cnf(c_508,plain,
    multiply(X0,multiply(multiply(X0,multiply(X0,X1)),X2)) = multiply(X1,multiply(identity,X2)),
    inference(superposition,[status(thm)],[c_381,c_94]) ).

cnf(c_728,plain,
    multiply(multiply(X0,multiply(X1,multiply(X1,multiply(multiply(identity,X1),X2)))),multiply(X2,X2)) = X0,
    inference(demodulation,[status(thm)],[c_101,c_94,c_433,c_469,c_508]) ).

cnf(c_732,plain,
    multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_381,c_728]) ).

cnf(c_1531,plain,
    multiply(multiply(multiply(identity,X0),identity),identity) = X0,
    inference(superposition,[status(thm)],[c_379,c_732]) ).

cnf(c_1645,plain,
    multiply(identity,X0) = X0,
    inference(demodulation,[status(thm)],[c_1531,c_379]) ).

cnf(c_1649,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(demodulation,[status(thm)],[c_94,c_1645]) ).

cnf(c_1650,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_1649]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP118-1 : TPTP v8.2.0. Released v1.2.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu Jun 20 07:30:39 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.45  Running UEQ theorem proving
% 0.19/0.46  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
% 0.46/1.16  % SZS status Started for theBenchmark.p
% 0.46/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.16  
% 0.46/1.16  ------  iProver source info
% 0.46/1.16  
% 0.46/1.16  git: date: 2024-06-12 09:56:46 +0000
% 0.46/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.46/1.16  git: non_committed_changes: false
% 0.46/1.16  
% 0.46/1.16  ------ Parsing...successful
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.46/1.16  ------ Proving...
% 0.46/1.16  ------ Problem Properties 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  clauses                                 2
% 0.46/1.16  conjectures                             1
% 0.46/1.16  EPR                                     0
% 0.46/1.16  Horn                                    2
% 0.46/1.16  unary                                   2
% 0.46/1.16  binary                                  0
% 0.46/1.16  lits                                    2
% 0.46/1.16  lits eq                                 2
% 0.46/1.16  fd_pure                                 0
% 0.46/1.16  fd_pseudo                               0
% 0.46/1.16  fd_cond                                 0
% 0.46/1.16  fd_pseudo_cond                          0
% 0.46/1.16  AC symbols                              0
% 0.46/1.16  
% 0.46/1.16  ------ Input Options Time Limit: Unbounded
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ 
% 0.46/1.16  Current options:
% 0.46/1.16  ------ 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  ------ Proving...
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.16  
% 0.46/1.16  
%------------------------------------------------------------------------------