TSTP Solution File: ANA037-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA037-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Wed Aug 30 17:18:11 EDT 2023

% Result   : Unsatisfiable 263.26s 35.37s
% Output   : CNFRefutation 263.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (   7 unt;   0 nHn;  17 RR)
%            Number of literals    :   41 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   16 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_lessequals(X1,c_Orderings_Omax(X1,X2,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI1_0) ).

cnf(c_54,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X0,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_56,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Opordered__semiring(X2)
    | c_lessequals(c_times(X0,X3,X2),c_times(X1,X3,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

cnf(c_63,negated_conjecture,
    c_lessequals(c_0,v_f(v_xa),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_65,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_69,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_70,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_893,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_903,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Opordered__semiring(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(c_905,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(c_8156,plain,
    class_Orderings_Olinorder(t_b),
    inference(resolution,[status(thm)],[c_893,c_70]) ).

cnf(c_8210,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | class_Orderings_Oorder(t_b) ),
    inference(instantiation,[status(thm)],[c_905]) ).

cnf(c_9228,plain,
    class_Ring__and__Field_Opordered__semiring(t_b),
    inference(resolution,[status(thm)],[c_903,c_70]) ).

cnf(c_52026,plain,
    ( ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)
    | ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),X0,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_53892,plain,
    ( ~ c_lessequals(c_times(v_c,v_f(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b)
    | ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b)
    | ~ class_Orderings_Oorder(t_b)
    | c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b) ),
    inference(instantiation,[status(thm)],[c_52026]) ).

cnf(c_54299,plain,
    ( ~ class_Orderings_Olinorder(t_b)
    | c_lessequals(v_c,c_Orderings_Omax(v_c,X0,t_b),t_b) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_55862,plain,
    ( ~ c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
    | ~ c_lessequals(c_0,v_f(v_xa),t_b)
    | ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | c_lessequals(c_times(v_c,v_f(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_60457,plain,
    ( ~ class_Orderings_Olinorder(t_b)
    | c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b) ),
    inference(instantiation,[status(thm)],[c_54299]) ).

cnf(c_60458,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_60457,c_55862,c_53892,c_9228,c_8210,c_8156,c_69,c_65,c_63,c_70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA037-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 19:03:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 263.26/35.37  % SZS status Started for theBenchmark.p
% 263.26/35.37  % SZS status Unsatisfiable for theBenchmark.p
% 263.26/35.37  
% 263.26/35.37  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 263.26/35.37  
% 263.26/35.37  ------  iProver source info
% 263.26/35.37  
% 263.26/35.37  git: date: 2023-05-31 18:12:56 +0000
% 263.26/35.37  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 263.26/35.37  git: non_committed_changes: false
% 263.26/35.37  git: last_make_outside_of_git: false
% 263.26/35.37  
% 263.26/35.37  ------ Parsing...successful
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  ------ Preprocessing... sf_s  rm: 384 0s  sf_e  sf_s  rm: 9 0s  sf_e 
% 263.26/35.37  
% 263.26/35.37  ------ Preprocessing...
% 263.26/35.37  
% 263.26/35.37  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 263.26/35.37  ------ Proving...
% 263.26/35.37  ------ Problem Properties 
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  clauses                                 2353
% 263.26/35.37  conjectures                             10
% 263.26/35.37  EPR                                     885
% 263.26/35.37  Horn                                    2173
% 263.26/35.37  unary                                   616
% 263.26/35.37  binary                                  1299
% 263.26/35.37  lits                                    4761
% 263.26/35.37  lits eq                                 1077
% 263.26/35.37  fd_pure                                 0
% 263.26/35.37  fd_pseudo                               0
% 263.26/35.37  fd_cond                                 99
% 263.26/35.37  fd_pseudo_cond                          63
% 263.26/35.37  AC symbols                              0
% 263.26/35.37  
% 263.26/35.37  ------ Input Options Time Limit: Unbounded
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  ------ 
% 263.26/35.37  Current options:
% 263.26/35.37  ------ 
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  ------ Proving...
% 263.26/35.37  
% 263.26/35.37  
% 263.26/35.37  % SZS status Unsatisfiable for theBenchmark.p
% 263.26/35.37  
% 263.26/35.37  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 263.26/35.37  
% 263.26/35.37  
%------------------------------------------------------------------------------