TSTP Solution File: ALG398-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG398-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:04:41 EDT 2024

% Result   : Unsatisfiable 162.38s 22.28s
% Output   : CNFRefutation 162.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   36 (  21 unt;   7 nHn;  15 RR)
%            Number of literals    :   56 (  41 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   52 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_85,plain,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
    | ~ class_Ring__and__Field_Ofield(X0)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
    | c_HOL_Ozero__class_Ozero(X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__self__if_1) ).

cnf(c_87,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
    | c_HOL_Ozero__class_Ozero(X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__inverse__eq_1) ).

cnf(c_457,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(X0)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__1__right_0) ).

cnf(c_607,plain,
    c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pc0_0) ).

cnf(c_814,plain,
    c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pqc0_0) ).

cnf(c_833,plain,
    c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).

cnf(c_860,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).

cnf(c_862,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I17_J_0) ).

cnf(c_863,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).

cnf(c_879,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
    | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).

cnf(c_880,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
    | c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X3,X0),X0) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X0),X3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__smult_0) ).

cnf(c_883,negated_conjecture,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_927,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(c_928,plain,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

cnf(c_942,plain,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(c_948,plain,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

cnf(c_1697,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
    | c_HOL_Ozero__class_Ozero(X0) = X1 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_87]) ).

cnf(c_6873,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
    inference(light_normalisation,[status(thm)],[c_883,c_814]) ).

cnf(c_10543,plain,
    ( X0 != tc_Complex_Ocomplex
    | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
    | c_HOL_Ozero__class_Ozero(X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_1697,c_948]) ).

cnf(c_10544,plain,
    ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
    | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
    inference(unflattening,[status(thm)],[c_10543]) ).

cnf(c_27880,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
    | c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(prop_impl_just,[status(thm)],[c_10544]) ).

cnf(c_27881,plain,
    ( c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
    | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
    inference(renaming,[status(thm)],[c_27880]) ).

cnf(c_49095,plain,
    c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
    inference(superposition,[status(thm)],[c_942,c_457]) ).

cnf(c_49380,plain,
    c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),
    inference(superposition,[status(thm)],[c_927,c_879]) ).

cnf(c_49382,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_6873,c_49380]) ).

cnf(c_55006,plain,
    c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(superposition,[status(thm)],[c_927,c_860]) ).

cnf(c_55020,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(superposition,[status(thm)],[c_927,c_862]) ).

cnf(c_55329,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
    inference(superposition,[status(thm)],[c_927,c_863]) ).

cnf(c_55331,plain,
    c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_55329,c_55020]) ).

cnf(c_55343,plain,
    c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_Osmult(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
    inference(superposition,[status(thm)],[c_928,c_880]) ).

cnf(c_55345,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_49382,c_55343]) ).

cnf(c_55346,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_55345,c_833,c_55006,c_55331]) ).

cnf(c_55505,plain,
    ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex)
    | c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(superposition,[status(thm)],[c_27881,c_55346]) ).

cnf(c_55517,plain,
    ( c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex)
    | c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(demodulation,[status(thm)],[c_55505,c_49095]) ).

cnf(c_55518,plain,
    c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(equality_resolution_simp,[status(thm)],[c_55517]) ).

cnf(c_55519,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_55518,c_607]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG398-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n009.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 22:46:40 EDT 2024
% 0.13/0.35  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 162.38/22.28  % SZS status Started for theBenchmark.p
% 162.38/22.28  % SZS status Unsatisfiable for theBenchmark.p
% 162.38/22.28  
% 162.38/22.28  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 162.38/22.28  
% 162.38/22.28  ------  iProver source info
% 162.38/22.28  
% 162.38/22.28  git: date: 2024-05-02 19:28:25 +0000
% 162.38/22.28  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 162.38/22.28  git: non_committed_changes: false
% 162.38/22.28  
% 162.38/22.28  ------ Parsing...successful
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  ------ Preprocessing... sup_sim: 3  sf_s  rm: 329 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 31  sf_s  rm: 34 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 35 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 35 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 35 0s  sf_e  pe_s  pe_e 
% 162.38/22.28  
% 162.38/22.28  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 162.38/22.28  
% 162.38/22.28  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 162.38/22.28  ------ Proving...
% 162.38/22.28  ------ Problem Properties 
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  clauses                                 503
% 162.38/22.28  conjectures                             0
% 162.38/22.28  EPR                                     55
% 162.38/22.28  Horn                                    439
% 162.38/22.28  unary                                   147
% 162.38/22.28  binary                                  209
% 162.38/22.28  lits                                    1052
% 162.38/22.28  lits eq                                 444
% 162.38/22.28  fd_pure                                 0
% 162.38/22.28  fd_pseudo                               0
% 162.38/22.28  fd_cond                                 48
% 162.38/22.28  fd_pseudo_cond                          49
% 162.38/22.28  AC symbols                              0
% 162.38/22.28  
% 162.38/22.28  ------ Input Options Time Limit: Unbounded
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  ------ 
% 162.38/22.28  Current options:
% 162.38/22.28  ------ 
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  ------ Proving...
% 162.38/22.28  
% 162.38/22.28  
% 162.38/22.28  % SZS status Unsatisfiable for theBenchmark.p
% 162.38/22.28  
% 162.38/22.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 162.38/22.28  
% 162.38/22.29  
%------------------------------------------------------------------------------