TSTP Solution File: SET094-6 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET094-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:59:50 EDT 2024

% Result   : Unsatisfiable 4.20s 1.19s
% Output   : CNFRefutation 4.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    singleton(member_of(x)) = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).

cnf(c_50,negated_conjecture,
    member(y,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).

cnf(c_51,negated_conjecture,
    member_of(x) != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).

cnf(c_59,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_63,plain,
    unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c_2703,plain,
    member_of(x) = sP0_iProver_def,
    definition ).

cnf(c_2704,plain,
    singleton(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_2705,negated_conjecture,
    sP0_iProver_def != y,
    inference(demodulation,[status(thm)],[c_51,c_2703]) ).

cnf(c_2706,negated_conjecture,
    member(y,x),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_2707,negated_conjecture,
    sP1_iProver_def = x,
    inference(demodulation,[status(thm)],[c_49,c_2704]) ).

cnf(c_3692,plain,
    member(y,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_2706,c_2707]) ).

cnf(c_5058,plain,
    ( ~ member(X0,singleton(X1))
    | X0 = X1 ),
    inference(superposition,[status(thm)],[c_63,c_59]) ).

cnf(c_5257,plain,
    ( ~ member(X0,sP1_iProver_def)
    | X0 = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_2704,c_5058]) ).

cnf(c_5303,plain,
    y = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_3692,c_5257]) ).

cnf(c_5330,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_2705,c_5303]) ).

cnf(c_5332,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_5330]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET094-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:16:25 EDT 2024
% 0.13/0.35  % 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
% 4.20/1.19  % SZS status Started for theBenchmark.p
% 4.20/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.19  
% 4.20/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.20/1.19  
% 4.20/1.19  ------  iProver source info
% 4.20/1.19  
% 4.20/1.19  git: date: 2024-05-02 19:28:25 +0000
% 4.20/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.20/1.19  git: non_committed_changes: false
% 4.20/1.19  
% 4.20/1.19  ------ Parsing...successful
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  ------ 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 
% 4.20/1.19  
% 4.20/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.20/1.19  
% 4.20/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.20/1.19  ------ Proving...
% 4.20/1.19  ------ Problem Properties 
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  clauses                                 88
% 4.20/1.19  conjectures                             3
% 4.20/1.19  EPR                                     15
% 4.20/1.19  Horn                                    80
% 4.20/1.19  unary                                   36
% 4.20/1.19  binary                                  32
% 4.20/1.19  lits                                    166
% 4.20/1.19  lits eq                                 40
% 4.20/1.19  fd_pure                                 0
% 4.20/1.19  fd_pseudo                               0
% 4.20/1.19  fd_cond                                 3
% 4.20/1.19  fd_pseudo_cond                          3
% 4.20/1.19  AC symbols                              0
% 4.20/1.19  
% 4.20/1.19  ------ Schedule dynamic 5 is on 
% 4.20/1.19  
% 4.20/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  ------ 
% 4.20/1.19  Current options:
% 4.20/1.19  ------ 
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  ------ Proving...
% 4.20/1.19  
% 4.20/1.19  
% 4.20/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.19  
% 4.20/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.20/1.19  
% 4.20/1.19  
%------------------------------------------------------------------------------