TSTP Solution File: SET013-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 14:32:18 EDT 2024

% Result   : Unsatisfiable 7.52s 1.68s
% Output   : CNFRefutation 7.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ equal_sets(intersection(as,bs),intersection(bs,as)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).

cnf(c_52,plain,
    ( member(member_of_1_not_of_2(X0,X1),X0)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).

cnf(c_53,plain,
    ( ~ member(member_of_1_not_of_2(X0,X1),X1)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).

cnf(c_59,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_both_is_member_of_intersection) ).

cnf(c_60,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set1) ).

cnf(c_61,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set2) ).

cnf(c_64,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X0)
    | equal_sets(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).

cnf(c_398,plain,
    intersection(as,bs) = sP0_iProver_def,
    definition ).

cnf(c_399,plain,
    intersection(bs,as) = sP1_iProver_def,
    definition ).

cnf(c_400,negated_conjecture,
    ~ equal_sets(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_399,c_398]) ).

cnf(c_857,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,as) ),
    inference(superposition,[status(thm)],[c_398,c_60]) ).

cnf(c_858,plain,
    ( ~ member(X0,sP1_iProver_def)
    | member(X0,bs) ),
    inference(superposition,[status(thm)],[c_399,c_60]) ).

cnf(c_872,plain,
    ( member(member_of_1_not_of_2(sP0_iProver_def,X0),as)
    | subset(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_52,c_857]) ).

cnf(c_880,plain,
    ( member(member_of_1_not_of_2(sP1_iProver_def,X0),bs)
    | subset(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_52,c_858]) ).

cnf(c_899,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,bs) ),
    inference(superposition,[status(thm)],[c_398,c_61]) ).

cnf(c_900,plain,
    ( ~ member(X0,sP1_iProver_def)
    | member(X0,as) ),
    inference(superposition,[status(thm)],[c_399,c_61]) ).

cnf(c_913,plain,
    ( member(member_of_1_not_of_2(sP0_iProver_def,X0),bs)
    | subset(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_52,c_899]) ).

cnf(c_995,plain,
    ( ~ member(X0,as)
    | ~ member(X0,bs)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_398,c_59]) ).

cnf(c_996,plain,
    ( ~ member(X0,as)
    | ~ member(X0,bs)
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_399,c_59]) ).

cnf(c_1026,plain,
    ( member(member_of_1_not_of_2(sP1_iProver_def,X0),as)
    | subset(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_52,c_900]) ).

cnf(c_1196,plain,
    ( ~ member(member_of_1_not_of_2(sP1_iProver_def,X0),as)
    | member(member_of_1_not_of_2(sP1_iProver_def,X0),sP0_iProver_def)
    | subset(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_880,c_995]) ).

cnf(c_1221,plain,
    ( ~ member(member_of_1_not_of_2(sP0_iProver_def,X0),as)
    | member(member_of_1_not_of_2(sP0_iProver_def,X0),sP1_iProver_def)
    | subset(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_913,c_996]) ).

cnf(c_13097,plain,
    ( ~ member(X0,sP1_iProver_def)
    | member(X0,bs) ),
    inference(superposition,[status(thm)],[c_399,c_60]) ).

cnf(c_13115,plain,
    ( member(member_of_1_not_of_2(sP1_iProver_def,X0),bs)
    | subset(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_52,c_13097]) ).

cnf(c_13130,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,bs) ),
    inference(superposition,[status(thm)],[c_398,c_61]) ).

cnf(c_13300,plain,
    ( member(member_of_1_not_of_2(sP0_iProver_def,X0),bs)
    | subset(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_52,c_13130]) ).

cnf(c_13382,plain,
    ( ~ member(X0,as)
    | ~ member(X0,bs)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_398,c_59]) ).

cnf(c_13383,plain,
    ( ~ member(X0,as)
    | ~ member(X0,bs)
    | member(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_399,c_59]) ).

cnf(c_28388,plain,
    ( ~ member(member_of_1_not_of_2(sP1_iProver_def,X0),as)
    | member(member_of_1_not_of_2(sP1_iProver_def,X0),sP0_iProver_def)
    | subset(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_13115,c_13382]) ).

cnf(c_30064,plain,
    ( member(member_of_1_not_of_2(sP1_iProver_def,X0),sP0_iProver_def)
    | subset(sP1_iProver_def,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_28388,c_1026,c_1196]) ).

cnf(c_30072,plain,
    subset(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30064,c_53]) ).

cnf(c_30238,plain,
    ( ~ subset(sP0_iProver_def,sP1_iProver_def)
    | equal_sets(sP0_iProver_def,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_30072,c_64]) ).

cnf(c_30239,plain,
    ~ subset(sP0_iProver_def,sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_30238,c_400]) ).

cnf(c_31064,plain,
    ( ~ member(member_of_1_not_of_2(sP0_iProver_def,X0),as)
    | member(member_of_1_not_of_2(sP0_iProver_def,X0),sP1_iProver_def)
    | subset(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_13300,c_13383]) ).

cnf(c_32674,plain,
    ( member(member_of_1_not_of_2(sP0_iProver_def,X0),sP1_iProver_def)
    | subset(sP0_iProver_def,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_31064,c_872,c_1221]) ).

cnf(c_32682,plain,
    subset(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_32674,c_53]) ).

cnf(c_32689,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_32682,c_30239]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun Jun 23 14:02:39 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 7.52/1.68  % SZS status Started for theBenchmark.p
% 7.52/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.68  
% 7.52/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.52/1.68  
% 7.52/1.68  ------  iProver source info
% 7.52/1.68  
% 7.52/1.68  git: date: 2024-06-12 09:56:46 +0000
% 7.52/1.68  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.52/1.68  git: non_committed_changes: false
% 7.52/1.68  
% 7.52/1.68  ------ Parsing...successful
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.52/1.68  
% 7.52/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.52/1.68  
% 7.52/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.52/1.68  ------ Proving...
% 7.52/1.68  ------ Problem Properties 
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  clauses                                 21
% 7.52/1.68  conjectures                             1
% 7.52/1.68  EPR                                     9
% 7.52/1.68  Horn                                    18
% 7.52/1.68  unary                                   5
% 7.52/1.68  binary                                  11
% 7.52/1.68  lits                                    42
% 7.52/1.68  lits eq                                 2
% 7.52/1.68  fd_pure                                 0
% 7.52/1.68  fd_pseudo                               0
% 7.52/1.68  fd_cond                                 0
% 7.52/1.68  fd_pseudo_cond                          0
% 7.52/1.68  AC symbols                              0
% 7.52/1.68  
% 7.52/1.68  ------ Schedule dynamic 5 is on 
% 7.52/1.68  
% 7.52/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  ------ 
% 7.52/1.68  Current options:
% 7.52/1.68  ------ 
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  ------ Proving...
% 7.52/1.68  
% 7.52/1.68  
% 7.52/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.68  
% 7.52/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.52/1.69  
% 7.52/1.69  
%------------------------------------------------------------------------------