TSTP Solution File: SET071-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 02:59:42 EDT 2024

% Result   : Unsatisfiable 7.20s 1.61s
% Output   : CNFRefutation 7.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_67,plain,
    subclass(singleton(X0),unordered_pair(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_in_unordered_pair2) ).

cnf(c_68,plain,
    ( unordered_pair(X0,X1) = singleton(X0)
    | member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).

cnf(c_70,negated_conjecture,
    unordered_pair(x,y) != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_1) ).

cnf(c_71,negated_conjecture,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_2) ).

cnf(c_72,negated_conjecture,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_unordered_pair_3) ).

cnf(c_73,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_80,plain,
    ( ~ member(X0,unordered_pair(X1,X2))
    | X0 = X1
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(c_84,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_138,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_3030,plain,
    unordered_pair(x,y) = sP0_iProver_def,
    definition ).

cnf(c_3031,negated_conjecture,
    ~ member(y,universal_class),
    inference(demodulation,[status(thm)],[c_72]) ).

cnf(c_3032,negated_conjecture,
    ~ member(x,universal_class),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_3033,negated_conjecture,
    sP0_iProver_def != null_class,
    inference(demodulation,[status(thm)],[c_70,c_3030]) ).

cnf(c_4414,plain,
    unordered_pair(X0,x) = singleton(X0),
    inference(superposition,[status(thm)],[c_68,c_3032]) ).

cnf(c_4415,plain,
    unordered_pair(X0,y) = singleton(X0),
    inference(superposition,[status(thm)],[c_68,c_3031]) ).

cnf(c_4416,plain,
    singleton(x) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_3030,c_4415]) ).

cnf(c_4428,plain,
    subclass(singleton(x),singleton(X0)),
    inference(superposition,[status(thm)],[c_4414,c_67]) ).

cnf(c_4429,plain,
    subclass(sP0_iProver_def,singleton(X0)),
    inference(light_normalisation,[status(thm)],[c_4428,c_4416]) ).

cnf(c_4700,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,singleton(X1)) ),
    inference(superposition,[status(thm)],[c_4429,c_73]) ).

cnf(c_6074,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_84,c_80]) ).

cnf(c_8948,plain,
    ( ~ member(X0,sP0_iProver_def)
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_4700,c_6074]) ).

cnf(c_8986,plain,
    ( regular(sP0_iProver_def) = X0
    | null_class = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_138,c_8948]) ).

cnf(c_9370,plain,
    ( X0 = X1
    | null_class = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_8986,c_8986]) ).

cnf(c_9894,plain,
    X0 = X1,
    inference(superposition,[status(thm)],[c_9370,c_3033]) ).

cnf(c_11391,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3033,c_9894]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 20:23:03 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 7.20/1.61  % SZS status Started for theBenchmark.p
% 7.20/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 7.20/1.61  
% 7.20/1.61  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.20/1.61  
% 7.20/1.61  ------  iProver source info
% 7.20/1.61  
% 7.20/1.61  git: date: 2024-05-02 19:28:25 +0000
% 7.20/1.61  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.20/1.61  git: non_committed_changes: false
% 7.20/1.61  
% 7.20/1.61  ------ Parsing...successful
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 7.20/1.61  
% 7.20/1.61  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.20/1.61  
% 7.20/1.61  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.20/1.61  ------ Proving...
% 7.20/1.61  ------ Problem Properties 
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  clauses                                 106
% 7.20/1.61  conjectures                             3
% 7.20/1.61  EPR                                     20
% 7.20/1.61  Horn                                    93
% 7.20/1.61  unary                                   42
% 7.20/1.61  binary                                  40
% 7.20/1.61  lits                                    200
% 7.20/1.61  lits eq                                 46
% 7.20/1.61  fd_pure                                 0
% 7.20/1.61  fd_pseudo                               0
% 7.20/1.61  fd_cond                                 5
% 7.20/1.61  fd_pseudo_cond                          6
% 7.20/1.61  AC symbols                              0
% 7.20/1.61  
% 7.20/1.61  ------ Schedule dynamic 5 is on 
% 7.20/1.61  
% 7.20/1.61  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  ------ 
% 7.20/1.61  Current options:
% 7.20/1.61  ------ 
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  ------ Proving...
% 7.20/1.61  
% 7.20/1.61  
% 7.20/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 7.20/1.61  
% 7.20/1.61  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.20/1.61  
% 7.20/1.61  
%------------------------------------------------------------------------------