TSTP Solution File: SET855-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET855-1 : TPTP v8.2.0. Released v3.2.0.
% 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 14:36:21 EDT 2024

% Result   : Unsatisfiable 7.60s 1.66s
% Output   : CNFRefutation 7.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_60,negated_conjecture,
    c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_61,negated_conjecture,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_62,negated_conjecture,
    c_Union(v_Y,tc_set(t_a)) != v_n,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_166,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_less(X1,X0,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).

cnf(c_168,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | X0 = X1
    | c_less(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).

cnf(c_21912,plain,
    tc_set(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_21918,negated_conjecture,
    sP4_iProver_def != v_n,
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_21919,negated_conjecture,
    c_lessequals(sP4_iProver_def,v_n,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_21920,negated_conjecture,
    c_lessequals(v_n,sP4_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_27895,plain,
    ( ~ c_less(X0,X1,tc_set(sP1_iProver_def))
    | ~ c_lessequals(X1,X0,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_21912,c_166]) ).

cnf(c_27900,plain,
    ( ~ c_lessequals(X0,X1,sP2_iProver_def)
    | ~ c_less(X1,X0,sP2_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_27895,c_21912]) ).

cnf(c_27989,plain,
    ~ c_less(v_n,sP4_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_21919,c_27900]) ).

cnf(c_29647,plain,
    ( ~ c_lessequals(X0,X1,sP2_iProver_def)
    | X0 = X1
    | c_less(X0,X1,tc_set(sP1_iProver_def)) ),
    inference(superposition,[status(thm)],[c_21912,c_168]) ).

cnf(c_29659,plain,
    ( ~ c_lessequals(X0,X1,sP2_iProver_def)
    | X0 = X1
    | c_less(X0,X1,sP2_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_29647,c_21912]) ).

cnf(c_30288,plain,
    ( v_n = sP4_iProver_def
    | c_less(v_n,sP4_iProver_def,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_21920,c_29659]) ).

cnf(c_30296,plain,
    v_n = sP4_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_30288,c_27989]) ).

cnf(c_30314,plain,
    sP4_iProver_def != sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_21918,c_30296]) ).

cnf(c_30318,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_30314]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET855-1 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n026.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun Jun 23 14:46:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.45  Running first-order theorem proving
% 0.20/0.45  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
% 7.60/1.66  % SZS status Started for theBenchmark.p
% 7.60/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.60/1.66  
% 7.60/1.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.60/1.66  
% 7.60/1.66  ------  iProver source info
% 7.60/1.66  
% 7.60/1.66  git: date: 2024-06-12 09:56:46 +0000
% 7.60/1.66  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.60/1.66  git: non_committed_changes: false
% 7.60/1.66  
% 7.60/1.66  ------ Parsing...successful
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 7.60/1.66  
% 7.60/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.60/1.66  
% 7.60/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.60/1.66  ------ Proving...
% 7.60/1.66  ------ Problem Properties 
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  clauses                                 317
% 7.60/1.66  conjectures                             7
% 7.60/1.66  EPR                                     32
% 7.60/1.66  Horn                                    282
% 7.60/1.66  unary                                   88
% 7.60/1.66  binary                                  174
% 7.60/1.66  lits                                    611
% 7.60/1.66  lits eq                                 171
% 7.60/1.66  fd_pure                                 0
% 7.60/1.66  fd_pseudo                               0
% 7.60/1.66  fd_cond                                 21
% 7.60/1.66  fd_pseudo_cond                          41
% 7.60/1.66  AC symbols                              0
% 7.60/1.66  
% 7.60/1.66  ------ Schedule dynamic 5 is on 
% 7.60/1.66  
% 7.60/1.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  ------ 
% 7.60/1.66  Current options:
% 7.60/1.66  ------ 
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  ------ Proving...
% 7.60/1.66  
% 7.60/1.66  
% 7.60/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.60/1.66  
% 7.60/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.60/1.66  
% 7.60/1.66  
%------------------------------------------------------------------------------