TSTP Solution File: SWV261-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV261-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Mon Jun 24 17:10:05 EDT 2024

% Result   : Unsatisfiable 7.89s 1.69s
% Output   : CNFRefutation 7.89s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,plain,
    c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).

cnf(c_52,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

cnf(c_53,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_union(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

cnf(c_54,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_union(X1,X3,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

cnf(c_55,plain,
    ( ~ c_in(X0,c_insert(X1,X2,X3),X3)
    | X0 = X1
    | c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

cnf(c_56,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(c_57,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(c_58,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_lessequals(X3,X0,tc_set(X2))
    | c_lessequals(X3,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(c_112,plain,
    c_insert(v_X,v_H,tc_Message_Omsg) = sP0_iProver_def,
    definition ).

cnf(c_113,plain,
    c_Message_Oparts(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_114,plain,
    c_Message_Oparts(v_G) = sP2_iProver_def,
    definition ).

cnf(c_115,plain,
    c_Message_Oparts(v_H) = sP3_iProver_def,
    definition ).

cnf(c_116,plain,
    c_union(sP2_iProver_def,sP3_iProver_def,tc_Message_Omsg) = sP4_iProver_def,
    definition ).

cnf(c_117,plain,
    tc_set(tc_Message_Omsg) = sP5_iProver_def,
    definition ).

cnf(c_118,negated_conjecture,
    ~ c_lessequals(sP1_iProver_def,sP4_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_117,c_115,c_114,c_116,c_112,c_113]) ).

cnf(c_341,plain,
    c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_117]) ).

cnf(c_343,plain,
    c_lessequals(c_Message_Oparts(c_union(v_G,X0,tc_Message_Omsg)),c_union(sP2_iProver_def,c_Message_Oparts(X0),tc_Message_Omsg),sP5_iProver_def),
    inference(superposition,[status(thm)],[c_114,c_341]) ).

cnf(c_351,plain,
    ( ~ c_lessequals(X0,X1,sP5_iProver_def)
    | c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),sP5_iProver_def) ),
    inference(demodulation,[status(thm)],[c_52,c_117]) ).

cnf(c_354,plain,
    ( ~ c_lessequals(sP0_iProver_def,X0,sP5_iProver_def)
    | c_lessequals(sP1_iProver_def,c_Message_Oparts(X0),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_113,c_351]) ).

cnf(c_377,plain,
    ( ~ c_in(X0,sP0_iProver_def,tc_Message_Omsg)
    | X0 = v_X
    | c_in(X0,v_H,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_112,c_55]) ).

cnf(c_397,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
    | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_53,c_57]) ).

cnf(c_398,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
    | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_54,c_57]) ).

cnf(c_477,plain,
    c_lessequals(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),c_union(sP2_iProver_def,sP3_iProver_def,tc_Message_Omsg),sP5_iProver_def),
    inference(superposition,[status(thm)],[c_115,c_343]) ).

cnf(c_496,plain,
    c_lessequals(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),sP4_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_477,c_116]) ).

cnf(c_550,plain,
    ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
    | ~ c_lessequals(X1,X2,sP5_iProver_def)
    | c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_117,c_58]) ).

cnf(c_554,plain,
    ( ~ c_lessequals(X0,X1,sP5_iProver_def)
    | ~ c_lessequals(X1,X2,sP5_iProver_def)
    | c_lessequals(X0,X2,sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_550,c_117]) ).

cnf(c_600,plain,
    ( c_Main_OsubsetI__1(sP0_iProver_def,X0,tc_Message_Omsg) = v_X
    | c_in(c_Main_OsubsetI__1(sP0_iProver_def,X0,tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_lessequals(sP0_iProver_def,X0,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_56,c_377]) ).

cnf(c_605,plain,
    ( c_Main_OsubsetI__1(sP0_iProver_def,X0,tc_Message_Omsg) = v_X
    | c_in(c_Main_OsubsetI__1(sP0_iProver_def,X0,tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_lessequals(sP0_iProver_def,X0,sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_600,c_117]) ).

cnf(c_814,plain,
    ( ~ c_lessequals(c_Message_Oparts(X0),X1,sP5_iProver_def)
    | ~ c_lessequals(sP0_iProver_def,X0,sP5_iProver_def)
    | c_lessequals(sP1_iProver_def,X1,sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_354,c_554]) ).

cnf(c_1264,plain,
    ( c_Main_OsubsetI__1(sP0_iProver_def,c_union(X0,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X
    | c_lessequals(sP0_iProver_def,c_union(X0,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | c_lessequals(sP0_iProver_def,c_union(X0,v_H,tc_Message_Omsg),sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_605,c_397]) ).

cnf(c_1285,plain,
    ( c_Main_OsubsetI__1(sP0_iProver_def,c_union(X0,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X
    | c_lessequals(sP0_iProver_def,c_union(X0,v_H,tc_Message_Omsg),sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_1264,c_117]) ).

cnf(c_3400,plain,
    ( ~ c_lessequals(sP0_iProver_def,c_union(v_G,v_H,tc_Message_Omsg),sP5_iProver_def)
    | c_lessequals(sP1_iProver_def,sP4_iProver_def,sP5_iProver_def) ),
    inference(superposition,[status(thm)],[c_496,c_814]) ).

cnf(c_3407,plain,
    ~ c_lessequals(sP0_iProver_def,c_union(v_G,v_H,tc_Message_Omsg),sP5_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_3400,c_118,c_3400]) ).

cnf(c_7237,plain,
    c_Main_OsubsetI__1(sP0_iProver_def,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X,
    inference(superposition,[status(thm)],[c_1285,c_3407]) ).

cnf(c_7286,plain,
    ( ~ c_in(v_X,v_G,tc_Message_Omsg)
    | c_lessequals(sP0_iProver_def,c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[status(thm)],[c_7237,c_398]) ).

cnf(c_7299,plain,
    c_lessequals(sP0_iProver_def,c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(global_subsumption_just,[status(thm)],[c_7286,c_49,c_7286]) ).

cnf(c_7301,plain,
    c_lessequals(sP0_iProver_def,c_union(v_G,v_H,tc_Message_Omsg),sP5_iProver_def),
    inference(light_normalisation,[status(thm)],[c_7299,c_117]) ).

cnf(c_7308,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3407,c_7301]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SWV261-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.12/0.36  % Computer : n018.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Thu Jun 20 16:05:54 EDT 2024
% 0.12/0.36  % CPUTime  : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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
% 7.89/1.69  % SZS status Started for theBenchmark.p
% 7.89/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 7.89/1.69  
% 7.89/1.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.89/1.69  
% 7.89/1.69  ------  iProver source info
% 7.89/1.69  
% 7.89/1.69  git: date: 2024-06-12 09:56:46 +0000
% 7.89/1.69  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.89/1.69  git: non_committed_changes: false
% 7.89/1.69  
% 7.89/1.69  ------ Parsing...successful
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.89/1.69  
% 7.89/1.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.89/1.69  
% 7.89/1.69  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.89/1.69  ------ Proving...
% 7.89/1.69  ------ Problem Properties 
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  clauses                                 16
% 7.89/1.69  conjectures                             2
% 7.89/1.69  EPR                                     2
% 7.89/1.69  Horn                                    14
% 7.89/1.69  unary                                   9
% 7.89/1.69  binary                                  5
% 7.89/1.69  lits                                    25
% 7.89/1.69  lits eq                                 7
% 7.89/1.69  fd_pure                                 0
% 7.89/1.69  fd_pseudo                               0
% 7.89/1.69  fd_cond                                 0
% 7.89/1.69  fd_pseudo_cond                          1
% 7.89/1.69  AC symbols                              0
% 7.89/1.69  
% 7.89/1.69  ------ Input Options Time Limit: Unbounded
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  ------ 
% 7.89/1.69  Current options:
% 7.89/1.69  ------ 
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  ------ Proving...
% 7.89/1.69  
% 7.89/1.69  
% 7.89/1.69  % SZS status Unsatisfiable for theBenchmark.p
% 7.89/1.69  
% 7.89/1.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.89/1.69  
% 7.89/1.70  
%------------------------------------------------------------------------------