TSTP Solution File: SYN982-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 03:33:48 EDT 2024

% Result   : Unsatisfiable 2.24s 1.19s
% Output   : CNFRefutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   44 (  11 unt;   1 nHn;  44 RR)
%            Number of literals    :   98 (   0 equ;  67 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   49 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ssBf(na),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(c_52,plain,
    ssP(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(c_53,plain,
    ssP(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(c_62,plain,
    ( ~ ssIm(pair(X0,X1))
    | ssIm(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

cnf(c_64,plain,
    ssM(sent(a,b,pair(a,na))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

cnf(c_65,plain,
    ( ~ ssIm(triple(X0,X1,X2))
    | ssIm(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

cnf(c_66,plain,
    ( ~ ssIm(triple(X0,X1,X2))
    | ssIm(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

cnf(c_68,plain,
    ( ~ ssM(sent(X0,X1,X2))
    | ssIm(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

cnf(c_73,plain,
    ( ~ ssP(X0)
    | ~ ssIm(X1)
    | ssIk(key(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

cnf(c_74,plain,
    ( ~ ssIm(X0)
    | ~ ssIm(X1)
    | ssIm(pair(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

cnf(c_75,plain,
    ( ~ ssP(X0)
    | ~ ssP(X1)
    | ~ ssIm(X2)
    | ssM(sent(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

cnf(c_77,plain,
    ( ~ ssIk(key(X0,X1))
    | ~ ssP(X1)
    | ~ ssIm(X2)
    | ssIm(encr(X2,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

cnf(c_78,plain,
    ( ~ ssM(sent(X0,b,pair(X0,X1)))
    | ~ ssBf(X1)
    | ssSb(pair(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(c_81,plain,
    ( ~ ssM(sent(X0,b,pair(X0,X1)))
    | ~ ssBf(X1)
    | ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(c_82,plain,
    ( ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1))))
    | ~ ssSb(pair(X0,X2))
    | ssBk(key(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_85,negated_conjecture,
    ( ~ ssBk(key(X0,a))
    | ~ ssIk(key(X0,b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(c_274,plain,
    ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(X1)),bt),encr(nb(X1),X0))))
    | ~ ssIk(key(X0,b))
    | ~ ssSb(pair(a,X1)) ),
    inference(resolution,[status(thm)],[c_82,c_85]) ).

cnf(c_288,plain,
    ( ~ ssM(sent(X0,b,pair(X0,na)))
    | ssM(sent(b,t,triple(b,nb(na),encr(triple(X0,na,tb(na)),bt)))) ),
    inference(resolution,[status(thm)],[c_51,c_81]) ).

cnf(c_296,plain,
    ( ~ ssM(sent(X0,b,pair(X0,na)))
    | ssSb(pair(X0,na)) ),
    inference(resolution,[status(thm)],[c_51,c_78]) ).

cnf(c_308,plain,
    ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
    | ~ ssM(sent(a,b,pair(a,na)))
    | ~ ssIk(key(X0,b)) ),
    inference(resolution,[status(thm)],[c_274,c_296]) ).

cnf(c_310,plain,
    ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
    | ~ ssIk(key(X0,b)) ),
    inference(global_subsumption_just,[status(thm)],[c_308,c_64,c_308]) ).

cnf(c_321,plain,
    ( ~ ssP(X0)
    | ~ ssIm(X1)
    | ~ ssIm(X2)
    | ssIm(encr(X1,X2)) ),
    inference(resolution,[status(thm)],[c_77,c_73]) ).

cnf(c_335,plain,
    ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
    | ~ ssIm(X0)
    | ~ ssP(b) ),
    inference(resolution,[status(thm)],[c_73,c_310]) ).

cnf(c_337,plain,
    ( ~ ssIm(X0)
    | ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_335,c_52,c_335]) ).

cnf(c_338,plain,
    ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
    | ~ ssIm(X0) ),
    inference(renaming,[status(thm)],[c_337]) ).

cnf(c_577,plain,
    ( ~ ssIm(X0)
    | ~ ssIm(X1)
    | ssIm(encr(X0,X1))
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_321]) ).

cnf(c_578,plain,
    ( ~ ssP(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_321]) ).

cnf(c_579,plain,
    ( sP0_iProver_def
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_321]) ).

cnf(c_580,plain,
    ( ~ ssP(b)
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_578]) ).

cnf(c_582,plain,
    ( ~ ssM(sent(a,b,pair(a,na)))
    | ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))) ),
    inference(instantiation,[status(thm)],[c_288]) ).

cnf(c_587,plain,
    ( ~ ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt))))
    | ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_614,plain,
    ( ~ ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))
    | ssIm(nb(na)) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_797,plain,
    ( ~ ssIm(nb(na))
    | ~ ssIm(X0)
    | ~ sP0_iProver_def
    | ssIm(encr(nb(na),X0)) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_877,plain,
    ssIm(pair(a,na)),
    inference(superposition,[status(thm)],[c_64,c_68]) ).

cnf(c_907,plain,
    ssIm(na),
    inference(superposition,[status(thm)],[c_877,c_62]) ).

cnf(c_990,plain,
    ( ~ ssIm(pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))
    | ~ ssIm(X0)
    | ~ ssP(b)
    | ~ ssP(a) ),
    inference(superposition,[status(thm)],[c_75,c_338]) ).

cnf(c_991,plain,
    ( ~ ssIm(pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))
    | ~ ssIm(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_990,c_53,c_52]) ).

cnf(c_1139,plain,
    ( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
    | ~ ssIm(encr(nb(na),X0))
    | ~ ssIm(X0) ),
    inference(superposition,[status(thm)],[c_74,c_991]) ).

cnf(c_1152,plain,
    ( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
    | ~ ssIm(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1139,c_52,c_64,c_579,c_580,c_582,c_587,c_614,c_797,c_1139]) ).

cnf(c_1280,plain,
    ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))),
    inference(superposition,[status(thm)],[c_64,c_288]) ).

cnf(c_1297,plain,
    ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
    inference(superposition,[status(thm)],[c_1280,c_68]) ).

cnf(c_1343,plain,
    ssIm(encr(triple(a,na,tb(na)),bt)),
    inference(superposition,[status(thm)],[c_1297,c_65]) ).

cnf(c_1368,plain,
    ~ ssIm(na),
    inference(superposition,[status(thm)],[c_1343,c_1152]) ).

cnf(c_1369,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1368,c_907]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN982-1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May  2 21:14:09 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.50  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
% 2.24/1.19  % SZS status Started for theBenchmark.p
% 2.24/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.19  
% 2.24/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.24/1.19  
% 2.24/1.19  ------  iProver source info
% 2.24/1.19  
% 2.24/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.24/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.24/1.19  git: non_committed_changes: false
% 2.24/1.19  
% 2.24/1.19  ------ Parsing...successful
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.24/1.19  
% 2.24/1.19  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.24/1.19  ------ Proving...
% 2.24/1.19  ------ Problem Properties 
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  clauses                                 30
% 2.24/1.19  conjectures                             0
% 2.24/1.19  EPR                                     6
% 2.24/1.19  Horn                                    29
% 2.24/1.19  unary                                   9
% 2.24/1.19  binary                                  15
% 2.24/1.19  lits                                    64
% 2.24/1.19  lits eq                                 0
% 2.24/1.19  fd_pure                                 0
% 2.24/1.19  fd_pseudo                               0
% 2.24/1.19  fd_cond                                 0
% 2.24/1.19  fd_pseudo_cond                          0
% 2.24/1.19  AC symbols                              0
% 2.24/1.19  
% 2.24/1.19  ------ Schedule dynamic 5 is on 
% 2.24/1.19  
% 2.24/1.19  ------ no conjectures: strip conj schedule 
% 2.24/1.19  
% 2.24/1.19  ------ no equalities: superposition off 
% 2.24/1.19  
% 2.24/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  ------ 
% 2.24/1.19  Current options:
% 2.24/1.19  ------ 
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  ------ Proving...
% 2.24/1.19  
% 2.24/1.19  
% 2.24/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.19  
% 2.24/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.20  
% 2.24/1.20  
%------------------------------------------------------------------------------