TSTP Solution File: ALG439-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG439-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:04:46 EDT 2024

% Result   : Unsatisfiable 2.97s 1.17s
% Output   : CNFRefutation 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (   4 unt;   3 nHn;  10 RR)
%            Number of literals    :   18 (  17 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    2 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_781,plain,
    c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_resolve__eq__raw_I2_J_0) ).

cnf(c_783,negated_conjecture,
    ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
    | v_c != v_y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_784,negated_conjecture,
    ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y
    | v_c = v_y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_1553,plain,
    ( v_c != v_y
    | c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y ),
    inference(prop_impl_just,[status(thm)],[c_783]) ).

cnf(c_1554,plain,
    ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
    | v_c != v_y ),
    inference(renaming,[status(thm)],[c_1553]) ).

cnf(c_1555,plain,
    ( v_c = v_y
    | c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
    inference(prop_impl_just,[status(thm)],[c_784]) ).

cnf(c_1556,plain,
    ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y
    | v_c = v_y ),
    inference(renaming,[status(thm)],[c_1555]) ).

cnf(c_9122,plain,
    v_c = v_y,
    inference(demodulation,[status(thm)],[c_1556,c_781]) ).

cnf(c_9677,plain,
    ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_c
    | v_c != v_y ),
    inference(light_normalisation,[status(thm)],[c_1554,c_9122]) ).

cnf(c_9678,plain,
    v_c != v_c,
    inference(demodulation,[status(thm)],[c_9677,c_781,c_9122]) ).

cnf(c_9679,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_9678]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG439-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 22:36:40 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.97/1.17  % SZS status Started for theBenchmark.p
% 2.97/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.97/1.17  
% 2.97/1.17  ------  iProver source info
% 2.97/1.17  
% 2.97/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.97/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.97/1.17  git: non_committed_changes: false
% 2.97/1.17  
% 2.97/1.17  ------ Parsing...successful
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  ------ Preprocessing...
% 2.97/1.17  
% 2.97/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/1.17  
% 2.97/1.17  
%------------------------------------------------------------------------------