TSTP Solution File: SCT024-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SCT024-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 14:14:01 EDT 2024

% Result   : Unsatisfiable 25.05s 4.20s
% Output   : CNFRefutation 25.05s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_720,plain,
    ( ~ hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))
    | ~ c_Relation_Oirrefl(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).

cnf(c_727,negated_conjecture,
    c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_728,negated_conjecture,
    c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_729,negated_conjecture,
    c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_730,negated_conjecture,
    hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_731,negated_conjecture,
    ~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_735,negated_conjecture,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | X0 = X1
    | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_15955,plain,
    tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sP0_iProver_def,
    definition ).

cnf(c_15956,plain,
    tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool) = sP1_iProver_def,
    definition ).

cnf(c_15957,plain,
    c_Orderings_Otop__class_Otop(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_15958,plain,
    c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sP3_iProver_def,
    definition ).

cnf(c_15959,plain,
    v_F(v_P) = sP4_iProver_def,
    definition ).

cnf(c_15960,plain,
    c_in(sP3_iProver_def,sP4_iProver_def,sP0_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_15961,plain,
    hAPP(v_P,v_i) = sP6_iProver_def,
    definition ).

cnf(c_15962,plain,
    c_in(sP3_iProver_def,sP6_iProver_def,sP0_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_15963,negated_conjecture,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),sP0_iProver_def))
    | ~ c_Relation_Ototal__on(sP2_iProver_def,hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
    | X0 = X1
    | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),sP0_iProver_def)) ),
    inference(demodulation,[status(thm)],[c_735,c_15956,c_15957,c_15955]) ).

cnf(c_15967,negated_conjecture,
    ~ hBOOL(sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_731,c_15959,c_15958,c_15960]) ).

cnf(c_15968,negated_conjecture,
    hBOOL(sP7_iProver_def),
    inference(demodulation,[status(thm)],[c_730,c_15961,c_15962]) ).

cnf(c_15969,negated_conjecture,
    c_Relation_Ototal__on(sP2_iProver_def,hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    inference(demodulation,[status(thm)],[c_729]) ).

cnf(c_15970,negated_conjecture,
    c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    inference(demodulation,[status(thm)],[c_728]) ).

cnf(c_15971,negated_conjecture,
    c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
    inference(demodulation,[status(thm)],[c_727]) ).

cnf(c_25401,plain,
    c_Relation_Oirrefl(sP6_iProver_def,tc_Arrow__Order__Mirabelle_Oalt),
    inference(superposition,[status(thm)],[c_15961,c_15970]) ).

cnf(c_25402,plain,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP6_iProver_def,sP0_iProver_def))
    | ~ c_Relation_Ototal__on(sP2_iProver_def,hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | X0 = X1
    | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),sP0_iProver_def)) ),
    inference(superposition,[status(thm)],[c_15961,c_15963]) ).

cnf(c_25403,plain,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP6_iProver_def,sP0_iProver_def))
    | ~ c_Relation_Ototal__on(sP2_iProver_def,hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
    | X0 = X1
    | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP4_iProver_def,sP0_iProver_def)) ),
    inference(light_normalisation,[status(thm)],[c_25402,c_15959]) ).

cnf(c_25404,plain,
    ( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP6_iProver_def,sP0_iProver_def))
    | X0 = X1
    | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP4_iProver_def,sP0_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_25403,c_15971,c_15970,c_15969]) ).

cnf(c_25437,plain,
    ( ~ hBOOL(c_in(sP3_iProver_def,sP6_iProver_def,sP0_iProver_def))
    | v_a = v_b
    | hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP4_iProver_def,sP0_iProver_def)) ),
    inference(superposition,[status(thm)],[c_15958,c_25404]) ).

cnf(c_25438,plain,
    ( ~ hBOOL(sP7_iProver_def)
    | v_a = v_b
    | hBOOL(sP5_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_25437,c_15958,c_15960,c_15962]) ).

cnf(c_25439,plain,
    v_a = v_b,
    inference(forward_subsumption_resolution,[status(thm)],[c_25438,c_15967,c_15968]) ).

cnf(c_25440,plain,
    c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_15958,c_25439]) ).

cnf(c_43227,plain,
    ( ~ hBOOL(c_in(sP3_iProver_def,X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Oirrefl(X0,tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(superposition,[status(thm)],[c_25440,c_720]) ).

cnf(c_43231,plain,
    ( ~ hBOOL(c_in(sP3_iProver_def,X0,sP0_iProver_def))
    | ~ c_Relation_Oirrefl(X0,tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(light_normalisation,[status(thm)],[c_43227,c_15955]) ).

cnf(c_59268,plain,
    ( ~ c_Relation_Oirrefl(sP6_iProver_def,tc_Arrow__Order__Mirabelle_Oalt)
    | ~ hBOOL(sP7_iProver_def) ),
    inference(superposition,[status(thm)],[c_15962,c_43231]) ).

cnf(c_59269,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_59268,c_15968,c_25401]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SCT024-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n029.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 : Sat Jun 22 10:30:24 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 25.05/4.20  % SZS status Started for theBenchmark.p
% 25.05/4.20  % SZS status Unsatisfiable for theBenchmark.p
% 25.05/4.20  
% 25.05/4.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 25.05/4.20  
% 25.05/4.20  ------  iProver source info
% 25.05/4.20  
% 25.05/4.20  git: date: 2024-06-12 09:56:46 +0000
% 25.05/4.20  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 25.05/4.20  git: non_committed_changes: false
% 25.05/4.20  
% 25.05/4.20  ------ Parsing...successful
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  ------ Preprocessing... sup_sim: 28  sf_s  rm: 9 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 
% 25.05/4.20  
% 25.05/4.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 25.05/4.20  
% 25.05/4.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 25.05/4.20  ------ Proving...
% 25.05/4.20  ------ Problem Properties 
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  clauses                                 598
% 25.05/4.20  conjectures                             9
% 25.05/4.20  EPR                                     23
% 25.05/4.20  Horn                                    529
% 25.05/4.20  unary                                   180
% 25.05/4.20  binary                                  255
% 25.05/4.20  lits                                    1220
% 25.05/4.20  lits eq                                 294
% 25.05/4.20  fd_pure                                 0
% 25.05/4.20  fd_pseudo                               0
% 25.05/4.20  fd_cond                                 0
% 25.05/4.20  fd_pseudo_cond                          47
% 25.05/4.20  AC symbols                              0
% 25.05/4.20  
% 25.05/4.20  ------ Schedule dynamic 5 is on 
% 25.05/4.20  
% 25.05/4.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  ------ 
% 25.05/4.20  Current options:
% 25.05/4.20  ------ 
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  ------ Proving...
% 25.05/4.20  
% 25.05/4.20  
% 25.05/4.20  % SZS status Unsatisfiable for theBenchmark.p
% 25.05/4.20  
% 25.05/4.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.05/4.20  
% 25.05/4.21  
%------------------------------------------------------------------------------