TSTP Solution File: SET238-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 03:00:21 EDT 2024

% Result   : Unsatisfiable 7.48s 1.62s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    member(z,restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_1) ).

cnf(c_50,negated_conjecture,
    ~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_2) ).

cnf(c_72,plain,
    ( ~ member(X0,X1)
    | ~ subclass(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_73,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_74,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_88,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

cnf(c_92,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_100,plain,
    intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction2) ).

cnf(c_3034,plain,
    first(z) = sP0_iProver_def,
    definition ).

cnf(c_3035,plain,
    second(z) = sP1_iProver_def,
    definition ).

cnf(c_3036,plain,
    ordered_pair(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_3037,plain,
    restrict(xr,x,y) = sP3_iProver_def,
    definition ).

cnf(c_3038,negated_conjecture,
    ~ member(sP2_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_3037,c_3035,c_3034,c_3036]) ).

cnf(c_3039,negated_conjecture,
    member(z,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_4217,plain,
    ( member(not_subclass_element(intersection(X0,X1),X2),X0)
    | subclass(intersection(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_73,c_92]) ).

cnf(c_4425,plain,
    ( ~ subclass(sP3_iProver_def,X0)
    | member(z,X0) ),
    inference(superposition,[status(thm)],[c_3039,c_72]) ).

cnf(c_11958,plain,
    subclass(intersection(X0,X1),X0),
    inference(superposition,[status(thm)],[c_4217,c_74]) ).

cnf(c_12232,plain,
    subclass(restrict(X0,X1,X2),cross_product(X1,X2)),
    inference(superposition,[status(thm)],[c_100,c_11958]) ).

cnf(c_12302,plain,
    subclass(sP3_iProver_def,cross_product(x,y)),
    inference(superposition,[status(thm)],[c_3037,c_12232]) ).

cnf(c_12309,plain,
    member(z,cross_product(x,y)),
    inference(superposition,[status(thm)],[c_12302,c_4425]) ).

cnf(c_12313,plain,
    ordered_pair(first(z),second(z)) = z,
    inference(superposition,[status(thm)],[c_12309,c_88]) ).

cnf(c_12314,plain,
    z = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_12313,c_3034,c_3035,c_3036]) ).

cnf(c_12330,plain,
    member(sP2_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_3039,c_12314]) ).

cnf(c_12331,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12330,c_3038]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 20:51:28 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 7.48/1.62  % SZS status Started for theBenchmark.p
% 7.48/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.48/1.62  
% 7.48/1.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.48/1.62  
% 7.48/1.62  ------  iProver source info
% 7.48/1.62  
% 7.48/1.62  git: date: 2024-05-02 19:28:25 +0000
% 7.48/1.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.48/1.62  git: non_committed_changes: false
% 7.48/1.62  
% 7.48/1.62  ------ Parsing...successful
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 7.48/1.62  
% 7.48/1.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.48/1.62  
% 7.48/1.62  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.48/1.62  ------ Proving...
% 7.48/1.62  ------ Problem Properties 
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  clauses                                 106
% 7.48/1.62  conjectures                             2
% 7.48/1.62  EPR                                     14
% 7.48/1.62  Horn                                    98
% 7.48/1.62  unary                                   45
% 7.48/1.62  binary                                  40
% 7.48/1.62  lits                                    194
% 7.48/1.62  lits eq                                 48
% 7.48/1.62  fd_pure                                 0
% 7.48/1.62  fd_pseudo                               0
% 7.48/1.62  fd_cond                                 3
% 7.48/1.62  fd_pseudo_cond                          7
% 7.48/1.62  AC symbols                              0
% 7.48/1.62  
% 7.48/1.62  ------ Schedule dynamic 5 is on 
% 7.48/1.62  
% 7.48/1.62  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  ------ 
% 7.48/1.62  Current options:
% 7.48/1.62  ------ 
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  ------ Proving...
% 7.48/1.62  
% 7.48/1.62  
% 7.48/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.48/1.62  
% 7.48/1.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.48/1.62  
% 7.48/1.62  
%------------------------------------------------------------------------------