TSTP Solution File: RNG039-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 13:54:51 EDT 2023

% Result   : Unsatisfiable 0.52s 1.21s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   45 (  45 unt;   0 nHn;  33 RR)
%            Number of literals    :   45 (  36 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,plain,
    add(X0,X0) = additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_54,plain,
    multiply(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(c_55,plain,
    multiply(a,b) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(c_56,plain,
    multiply(b,a) = d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(c_57,plain,
    sum(X0,X1,add(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(c_59,plain,
    product(b,d,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(c_60,plain,
    product(c,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(c_63,plain,
    product(a,multiply(b,X0),multiply(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(c_70,plain,
    product(a,d,multiply(c,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(c_76,plain,
    product(multiply(X0,b),a,multiply(X0,d)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(c_85,plain,
    product(add(b,a),b,add(b,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(c_87,plain,
    product(add(a,b),a,add(a,d)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(c_91,negated_conjecture,
    c != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).

cnf(c_133,plain,
    add(X0,X1) = add(X1,X0),
    inference(well_definedness,[status(thm)],[c_57]) ).

cnf(c_135,plain,
    multiply(b,d) = d,
    inference(well_definedness,[status(thm)],[c_59]) ).

cnf(c_136,plain,
    multiply(c,b) = c,
    inference(well_definedness,[status(thm)],[c_60]) ).

cnf(c_139,plain,
    multiply(a,multiply(b,X0)) = multiply(X1,X0),
    inference(well_definedness,[status(thm)],[c_63]) ).

cnf(c_146,plain,
    multiply(a,d) = multiply(c,a),
    inference(well_definedness,[status(thm)],[c_70]) ).

cnf(c_152,plain,
    multiply(multiply(X0,b),a) = multiply(X0,d),
    inference(well_definedness,[status(thm)],[c_76]) ).

cnf(c_161,plain,
    multiply(add(b,a),b) = add(b,c),
    inference(well_definedness,[status(thm)],[c_85]) ).

cnf(c_163,plain,
    multiply(add(a,b),a) = add(a,d),
    inference(well_definedness,[status(thm)],[c_87]) ).

cnf(c_390,plain,
    multiply(add(a,b),b) = add(b,c),
    inference(demodulation,[status(thm)],[c_161,c_133]) ).

cnf(c_399,plain,
    multiply(a,multiply(b,a)) = multiply(X0,d),
    inference(demodulation,[status(thm)],[c_152,c_139]) ).

cnf(c_400,plain,
    multiply(a,multiply(b,a)) = add(a,d),
    inference(demodulation,[status(thm)],[c_163,c_139]) ).

cnf(c_401,plain,
    multiply(a,multiply(b,b)) = add(b,c),
    inference(demodulation,[status(thm)],[c_390,c_139]) ).

cnf(c_402,plain,
    add(b,c) = c,
    inference(demodulation,[status(thm)],[c_401,c_54,c_55]) ).

cnf(c_403,plain,
    add(a,d) = multiply(a,d),
    inference(light_normalisation,[status(thm)],[c_400,c_56]) ).

cnf(c_404,plain,
    multiply(X0,d) = multiply(a,d),
    inference(light_normalisation,[status(thm)],[c_399,c_56]) ).

cnf(c_405,plain,
    multiply(a,d) = d,
    inference(demodulation,[status(thm)],[c_135,c_404]) ).

cnf(c_407,plain,
    add(a,d) = d,
    inference(demodulation,[status(thm)],[c_403,c_405]) ).

cnf(c_408,plain,
    multiply(c,a) = d,
    inference(demodulation,[status(thm)],[c_146,c_405]) ).

cnf(c_631,plain,
    multiply(a,multiply(b,X0)) = X0,
    inference(superposition,[status(thm)],[c_139,c_54]) ).

cnf(c_634,plain,
    multiply(X0,X1) = X1,
    inference(demodulation,[status(thm)],[c_139,c_631]) ).

cnf(c_636,plain,
    b = c,
    inference(demodulation,[status(thm)],[c_136,c_634]) ).

cnf(c_637,plain,
    b != d,
    inference(demodulation,[status(thm)],[c_91,c_636]) ).

cnf(c_638,plain,
    add(b,b) = b,
    inference(light_normalisation,[status(thm)],[c_402,c_636]) ).

cnf(c_639,plain,
    additive_identity = b,
    inference(demodulation,[status(thm)],[c_638,c_53]) ).

cnf(c_640,plain,
    additive_identity != d,
    inference(demodulation,[status(thm)],[c_637,c_639]) ).

cnf(c_641,plain,
    additive_identity = c,
    inference(demodulation,[status(thm)],[c_636,c_639]) ).

cnf(c_642,plain,
    multiply(additive_identity,a) = d,
    inference(light_normalisation,[status(thm)],[c_408,c_641]) ).

cnf(c_643,plain,
    a = d,
    inference(demodulation,[status(thm)],[c_642,c_634]) ).

cnf(c_644,plain,
    add(a,a) = a,
    inference(demodulation,[status(thm)],[c_407,c_643]) ).

cnf(c_645,plain,
    additive_identity != a,
    inference(demodulation,[status(thm)],[c_640,c_643]) ).

cnf(c_648,plain,
    additive_identity = a,
    inference(demodulation,[status(thm)],[c_644,c_53]) ).

cnf(c_649,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_648,c_645]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 02:01:52 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.52/1.21  % SZS status Started for theBenchmark.p
% 0.52/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.52/1.21  
% 0.52/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.52/1.21  
% 0.52/1.21  ------  iProver source info
% 0.52/1.21  
% 0.52/1.21  git: date: 2023-05-31 18:12:56 +0000
% 0.52/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.52/1.21  git: non_committed_changes: false
% 0.52/1.21  git: last_make_outside_of_git: false
% 0.52/1.21  
% 0.52/1.21  ------ Parsing...successful
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  ------ Preprocessing... sup_sim: 57  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 3  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.52/1.21  
% 0.52/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.52/1.21  
% 0.52/1.21  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.52/1.21  ------ Proving...
% 0.52/1.21  ------ Problem Properties 
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  clauses                                 24
% 0.52/1.21  conjectures                             1
% 0.52/1.21  EPR                                     1
% 0.52/1.21  Horn                                    24
% 0.52/1.21  unary                                   24
% 0.52/1.21  binary                                  0
% 0.52/1.21  lits                                    24
% 0.52/1.21  lits eq                                 24
% 0.52/1.21  fd_pure                                 0
% 0.52/1.21  fd_pseudo                               0
% 0.52/1.21  fd_cond                                 0
% 0.52/1.21  fd_pseudo_cond                          0
% 0.52/1.21  AC symbols                              1
% 0.52/1.21  
% 0.52/1.21  ------ Schedule UEQ
% 0.52/1.21  
% 0.52/1.21  ------ Option_UEQ Time Limit: 10.
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  ------ 
% 0.52/1.21  Current options:
% 0.52/1.21  ------ 
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  ------ Proving...
% 0.52/1.21  
% 0.52/1.21  
% 0.52/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 0.52/1.21  
% 0.52/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.52/1.21  
% 0.52/1.21  
%------------------------------------------------------------------------------