TSTP Solution File: GRP473-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP473-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 01:00:03 EDT 2023

% Result   : Unsatisfiable 46.96s 6.65s
% Output   : CNFRefutation 46.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            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    :    9 (   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   :  144 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
    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(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_151,plain,
    divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(X5,X4),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_659,plain,
    divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),divide(X2,X1)) = divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X6,X5),X7))),
    inference(superposition,[status(thm)],[c_49,c_151]) ).

cnf(c_1227,plain,
    divide(divide(X0,X1),divide(inverse(divide(X2,divide(X3,X4))),divide(divide(X1,X0),X2))) = divide(X4,X3),
    inference(superposition,[status(thm)],[c_659,c_151]) ).

cnf(c_12693,plain,
    divide(divide(inverse(divide(divide(X0,X1),X2)),X3),divide(divide(divide(X1,X0),X4),inverse(divide(X4,X3)))) = X2,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_12696,plain,
    multiply(divide(inverse(b2),inverse(b2)),a2) != a2,
    inference(superposition,[status(thm)],[c_50,c_51]) ).

cnf(c_12709,plain,
    divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),divide(inverse(X4),divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X1,X0),X7)))))),divide(X3,X2)) = divide(X6,X5),
    inference(superposition,[status(thm)],[c_151,c_49]) ).

cnf(c_12711,plain,
    divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X3,X4)),divide(divide(divide(X1,X0),divide(inverse(divide(X5,X6)),divide(divide(X4,X3),X5))),inverse(X6))) = X2,
    inference(superposition,[status(thm)],[c_151,c_49]) ).

cnf(c_12719,plain,
    divide(X0,divide(inverse(divide(X1,divide(X2,X3))),divide(divide(divide(X4,X5),divide(inverse(divide(X6,X0)),divide(divide(X5,X4),X6))),X1))) = divide(X3,X2),
    inference(superposition,[status(thm)],[c_49,c_1227]) ).

cnf(c_12722,plain,
    divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),divide(inverse(divide(X3,X2)),divide(divide(X4,X5),X3))))) = divide(X4,X5),
    inference(superposition,[status(thm)],[c_49,c_1227]) ).

cnf(c_12723,plain,
    divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(divide(X1,X0),divide(inverse(X4),divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X3,X2),X7))))))) = divide(X5,X6),
    inference(superposition,[status(thm)],[c_151,c_1227]) ).

cnf(c_12743,plain,
    divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X2,X3)) = divide(X3,X2),
    inference(superposition,[status(thm)],[c_1227,c_151]) ).

cnf(c_12791,plain,
    divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
    inference(demodulation,[status(thm)],[c_12696,c_50]) ).

cnf(c_15341,plain,
    divide(divide(inverse(divide(divide(inverse(divide(X0,divide(X1,X2))),divide(divide(X3,X4),X0)),divide(X4,X3))),divide(divide(X5,X6),divide(inverse(divide(X7,X8)),divide(X8,X7)))),divide(X6,X5)) = divide(X2,X1),
    inference(superposition,[status(thm)],[c_12719,c_12709]) ).

cnf(c_15636,plain,
    divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X3,X2))) = divide(X0,X1),
    inference(superposition,[status(thm)],[c_12722,c_12723]) ).

cnf(c_15667,plain,
    divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(divide(X1,X0),divide(inverse(divide(X4,X5)),divide(X5,X4))))) = divide(X2,X3),
    inference(superposition,[status(thm)],[c_1227,c_12723]) ).

cnf(c_15871,plain,
    divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X1,X0))) = divide(X2,X3),
    inference(demodulation,[status(thm)],[c_15667,c_15636]) ).

cnf(c_15876,plain,
    divide(divide(inverse(divide(divide(inverse(divide(X0,divide(X1,X2))),divide(divide(X3,X4),X0)),divide(X4,X3))),divide(X5,X6)),divide(X6,X5)) = divide(X2,X1),
    inference(demodulation,[status(thm)],[c_15341,c_15636]) ).

cnf(c_15877,plain,
    divide(divide(inverse(divide(X0,X1)),divide(X2,X3)),divide(X3,X2)) = divide(X1,X0),
    inference(demodulation,[status(thm)],[c_15876,c_49]) ).

cnf(c_16453,plain,
    divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))) = X0,
    inference(superposition,[status(thm)],[c_12711,c_15636]) ).

cnf(c_17033,plain,
    divide(X0,inverse(divide(divide(X1,X2),inverse(divide(X2,X1))))) = X0,
    inference(superposition,[status(thm)],[c_16453,c_16453]) ).

cnf(c_17088,plain,
    divide(divide(X0,X1),divide(inverse(X2),divide(X1,X0))) = X2,
    inference(superposition,[status(thm)],[c_16453,c_15871]) ).

cnf(c_17169,plain,
    divide(divide(inverse(divide(X0,X1)),X2),divide(divide(divide(X3,X4),X5),inverse(divide(X5,X2)))) = divide(inverse(divide(X0,X1)),divide(X3,X4)),
    inference(superposition,[status(thm)],[c_15871,c_12693]) ).

cnf(c_17404,plain,
    divide(divide(inverse(divide(divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X1,X0))),X4)),X5),divide(divide(divide(X3,X2),X6),inverse(divide(X6,X5)))) = X4,
    inference(superposition,[status(thm)],[c_15877,c_12693]) ).

cnf(c_17500,plain,
    divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
    inference(demodulation,[status(thm)],[c_17404,c_17088,c_17169]) ).

cnf(c_17854,plain,
    divide(divide(divide(X0,X1),inverse(divide(X1,X0))),inverse(X2)) = X2,
    inference(superposition,[status(thm)],[c_17088,c_12743]) ).

cnf(c_18046,plain,
    inverse(divide(divide(divide(X0,X1),inverse(divide(X1,X0))),X2)) = X2,
    inference(superposition,[status(thm)],[c_17500,c_16453]) ).

cnf(c_18657,plain,
    divide(divide(X0,inverse(divide(divide(inverse(divide(X1,X2)),divide(X2,X1)),X0))),inverse(X3)) = X3,
    inference(superposition,[status(thm)],[c_16453,c_17854]) ).

cnf(c_18845,plain,
    inverse(divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),X2)) = X2,
    inference(superposition,[status(thm)],[c_17033,c_18046]) ).

cnf(c_18986,plain,
    divide(divide(X0,X0),inverse(X1)) = X1,
    inference(demodulation,[status(thm)],[c_18657,c_18845]) ).

cnf(c_19257,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_12791,c_18986]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP473-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n005.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 : Mon Aug 28 22:08:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  Running UEQ theorem proving
% 0.21/0.46  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
% 46.96/6.65  % SZS status Started for theBenchmark.p
% 46.96/6.65  % SZS status Unsatisfiable for theBenchmark.p
% 46.96/6.65  
% 46.96/6.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 46.96/6.65  
% 46.96/6.65  ------  iProver source info
% 46.96/6.65  
% 46.96/6.65  git: date: 2023-05-31 18:12:56 +0000
% 46.96/6.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 46.96/6.65  git: non_committed_changes: false
% 46.96/6.65  git: last_make_outside_of_git: false
% 46.96/6.65  
% 46.96/6.65  ------ Parsing...successful
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 46.96/6.65  
% 46.96/6.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 46.96/6.65  
% 46.96/6.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 46.96/6.65  ------ Proving...
% 46.96/6.65  ------ Problem Properties 
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  clauses                                 3
% 46.96/6.65  conjectures                             1
% 46.96/6.65  EPR                                     0
% 46.96/6.65  Horn                                    3
% 46.96/6.65  unary                                   3
% 46.96/6.65  binary                                  0
% 46.96/6.65  lits                                    3
% 46.96/6.65  lits eq                                 3
% 46.96/6.65  fd_pure                                 0
% 46.96/6.65  fd_pseudo                               0
% 46.96/6.65  fd_cond                                 0
% 46.96/6.65  fd_pseudo_cond                          0
% 46.96/6.65  AC symbols                              0
% 46.96/6.65  
% 46.96/6.65  ------ Input Options Time Limit: Unbounded
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  ------ 
% 46.96/6.65  Current options:
% 46.96/6.65  ------ 
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  ------ Proving...
% 46.96/6.65  
% 46.96/6.65  
% 46.96/6.65  % SZS status Unsatisfiable for theBenchmark.p
% 46.96/6.65  
% 46.96/6.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.96/6.65  
% 46.96/6.65  
%------------------------------------------------------------------------------