TSTP Solution File: ROB016-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 14:08:26 EDT 2023

% Result   : Unsatisfiable 2.79s 1.17s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (  12 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    negate(add(d,e)) = negate(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

cnf(c_50,plain,
    positive_integer(k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_positive) ).

cnf(c_51,plain,
    ( negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
    | ~ positive_integer(X2)
    | negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0))))))) = negate(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_6) ).

cnf(c_52,negated_conjecture,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).

cnf(c_57,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).

cnf(c_58,plain,
    add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).

cnf(c_59,plain,
    negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).

cnf(c_67,plain,
    negate(add(e,d)) = negate(e),
    inference(theory_normalisation,[status(thm)],[c_49,c_58,c_57]) ).

cnf(c_269,plain,
    negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
    inference(superposition,[status(thm)],[c_57,c_59]) ).

cnf(c_403,plain,
    negate(add(negate(e),negate(add(d,negate(e))))) = d,
    inference(superposition,[status(thm)],[c_67,c_269]) ).

cnf(c_514,plain,
    ( ~ positive_integer(X0)
    | negate(add(e,multiply(X0,add(d,negate(add(d,negate(e))))))) = negate(e) ),
    inference(superposition,[status(thm)],[c_403,c_51]) ).

cnf(c_8130,plain,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) = negate(e),
    inference(superposition,[status(thm)],[c_50,c_514]) ).

cnf(c_8133,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8130,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 06:55:32 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.79/1.17  % SZS status Started for theBenchmark.p
% 2.79/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.17  
% 2.79/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.79/1.17  
% 2.79/1.17  ------  iProver source info
% 2.79/1.17  
% 2.79/1.17  git: date: 2023-05-31 18:12:56 +0000
% 2.79/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.79/1.17  git: non_committed_changes: false
% 2.79/1.17  git: last_make_outside_of_git: false
% 2.79/1.17  
% 2.79/1.17  ------ Parsing...successful
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.79/1.17  
% 2.79/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.79/1.17  
% 2.79/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.79/1.17  ------ Proving...
% 2.79/1.17  ------ Problem Properties 
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  clauses                                 11
% 2.79/1.17  conjectures                             1
% 2.79/1.17  EPR                                     2
% 2.79/1.17  Horn                                    11
% 2.79/1.17  unary                                   8
% 2.79/1.17  binary                                  2
% 2.79/1.17  lits                                    15
% 2.79/1.17  lits eq                                 9
% 2.79/1.17  fd_pure                                 0
% 2.79/1.17  fd_pseudo                               0
% 2.79/1.17  fd_cond                                 0
% 2.79/1.17  fd_pseudo_cond                          0
% 2.79/1.17  AC symbols                              1
% 2.79/1.17  
% 2.79/1.17  ------ Schedule dynamic 5 is on 
% 2.79/1.17  
% 2.79/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  ------ 
% 2.79/1.17  Current options:
% 2.79/1.17  ------ 
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  ------ Proving...
% 2.79/1.17  
% 2.79/1.17  
% 2.79/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.17  
% 2.79/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.17  
% 2.79/1.17  
%------------------------------------------------------------------------------