TSTP Solution File: ANA038-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 02:05:38 EDT 2024

% Result   : Unsatisfiable 1.68s 1.16s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_lessequals(c_0,v_g(v_xa),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_50,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_51,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_52,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_53,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_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/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_55,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/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

cnf(c_56,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_57,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Opordered__semiring(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(c_58,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(c_104,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0) ),
    inference(resolution,[status(thm)],[c_56,c_53]) ).

cnf(c_114,plain,
    c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b),
    inference(resolution,[status(thm)],[c_52,c_104]) ).

cnf(c_119,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[status(thm)],[c_52,c_58]) ).

cnf(c_123,plain,
    class_Ring__and__Field_Opordered__semiring(t_b),
    inference(resolution,[status(thm)],[c_52,c_57]) ).

cnf(c_130,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(X2,X0,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(resolution,[status(thm)],[c_54,c_119]) ).

cnf(c_143,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | c_lessequals(c_times(X0,X2,t_b),c_times(X1,X2,t_b),t_b) ),
    inference(resolution,[status(thm)],[c_55,c_123]) ).

cnf(c_177,plain,
    v_b(v_xa) = sP0_iProver_def,
    definition ).

cnf(c_178,plain,
    c_HOL_Oabs(sP0_iProver_def,t_b) = sP1_iProver_def,
    definition ).

cnf(c_179,plain,
    c_Orderings_Omax(v_c,v_ca,t_b) = sP2_iProver_def,
    definition ).

cnf(c_180,plain,
    v_g(v_xa) = sP3_iProver_def,
    definition ).

cnf(c_181,plain,
    c_times(sP2_iProver_def,sP3_iProver_def,t_b) = sP4_iProver_def,
    definition ).

cnf(c_182,plain,
    c_times(v_ca,sP3_iProver_def,t_b) = sP5_iProver_def,
    definition ).

cnf(c_183,negated_conjecture,
    ~ c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_51,c_180,c_179,c_181,c_177,c_178]) ).

cnf(c_184,negated_conjecture,
    c_lessequals(sP1_iProver_def,sP5_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_50,c_182]) ).

cnf(c_185,negated_conjecture,
    c_lessequals(c_0,sP3_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_405,plain,
    c_lessequals(v_ca,sP2_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_179,c_114]) ).

cnf(c_412,plain,
    ( ~ c_lessequals(X0,sP2_iProver_def,t_b)
    | ~ c_lessequals(c_0,sP3_iProver_def,t_b)
    | c_lessequals(c_times(X0,sP3_iProver_def,t_b),sP4_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_181,c_143]) ).

cnf(c_413,plain,
    ( ~ c_lessequals(X0,sP2_iProver_def,t_b)
    | c_lessequals(c_times(X0,sP3_iProver_def,t_b),sP4_iProver_def,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_412,c_185]) ).

cnf(c_441,plain,
    ( ~ c_lessequals(X0,c_times(X1,sP3_iProver_def,t_b),t_b)
    | ~ c_lessequals(X1,sP2_iProver_def,t_b)
    | c_lessequals(X0,sP4_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_413,c_130]) ).

cnf(c_508,plain,
    ( ~ c_lessequals(X0,sP5_iProver_def,t_b)
    | ~ c_lessequals(v_ca,sP2_iProver_def,t_b)
    | c_lessequals(X0,sP4_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_182,c_441]) ).

cnf(c_509,plain,
    ( ~ c_lessequals(X0,sP5_iProver_def,t_b)
    | c_lessequals(X0,sP4_iProver_def,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_508,c_405]) ).

cnf(c_597,plain,
    c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_184,c_509]) ).

cnf(c_599,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_597,c_183]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n027.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 : Thu May  2 20:19:20 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 1.68/1.16  % SZS status Started for theBenchmark.p
% 1.68/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.16  
% 1.68/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.68/1.16  
% 1.68/1.16  ------  iProver source info
% 1.68/1.16  
% 1.68/1.16  git: date: 2024-05-02 19:28:25 +0000
% 1.68/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.68/1.16  git: non_committed_changes: false
% 1.68/1.16  
% 1.68/1.16  ------ Parsing...successful
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.68/1.16  
% 1.68/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.68/1.16  
% 1.68/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.68/1.16  ------ Proving...
% 1.68/1.16  ------ Problem Properties 
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  clauses                                 12
% 1.68/1.16  conjectures                             3
% 1.68/1.16  EPR                                     4
% 1.68/1.16  Horn                                    12
% 1.68/1.16  unary                                   10
% 1.68/1.16  binary                                  0
% 1.68/1.16  lits                                    16
% 1.68/1.16  lits eq                                 6
% 1.68/1.16  fd_pure                                 0
% 1.68/1.16  fd_pseudo                               0
% 1.68/1.16  fd_cond                                 0
% 1.68/1.16  fd_pseudo_cond                          0
% 1.68/1.16  AC symbols                              0
% 1.68/1.16  
% 1.68/1.16  ------ Schedule dynamic 5 is on 
% 1.68/1.16  
% 1.68/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  ------ 
% 1.68/1.16  Current options:
% 1.68/1.16  ------ 
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  ------ Proving...
% 1.68/1.16  
% 1.68/1.16  
% 1.68/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.16  
% 1.68/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.16  
% 1.68/1.16  
%------------------------------------------------------------------------------