TSTP Solution File: KRS015-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS015-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:33:27 EDT 2024

% Result   : Unsatisfiable 1.90s 1.17s
% Output   : CNFRefutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   34 (   2 unt;   0 nHn;  34 RR)
%            Number of literals    :   85 (   0 equ;  56 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    e(exist),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,plain,
    ( ~ c(X0)
    | t2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(c_52,plain,
    ( ~ equalish(u1r2(X0),u1r1(X0))
    | ~ t2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,plain,
    ( ~ t2least(X0)
    | t(X0,u1r1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(c_54,plain,
    ( ~ t2least(X0)
    | t(X0,u1r2(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(c_56,plain,
    ( ~ d(X0)
    | t1most(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(c_58,plain,
    ( ~ t(X0,X1)
    | ~ t(X0,X2)
    | ~ t1most(X0)
    | equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

cnf(c_62,plain,
    ( ~ e(X0)
    | r(X0,u4r4(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).

cnf(c_63,plain,
    ( ~ r(X0,X1)
    | ~ e(X0)
    | s(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).

cnf(c_65,plain,
    ( ~ s(X0,X1)
    | ~ e(X0)
    | d(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).

cnf(c_66,plain,
    ( ~ r(X0,X1)
    | ~ e(X0)
    | c(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).

cnf(c_81,plain,
    ( ~ e(exist)
    | r(exist,u4r4(exist)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_98,plain,
    ( ~ d(X0)
    | t1most(X0) ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

cnf(c_100,plain,
    ( ~ c(X0)
    | ~ equalish(u1r2(X0),u1r1(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_50,c_52]) ).

cnf(c_101,plain,
    ( ~ equalish(u1r2(X0),u1r1(X0))
    | ~ c(X0) ),
    inference(renaming,[status(thm)],[c_100]) ).

cnf(c_102,plain,
    ( ~ c(X0)
    | t(X0,u1r1(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_50,c_53]) ).

cnf(c_104,plain,
    ( ~ c(X0)
    | t(X0,u1r2(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_50,c_54]) ).

cnf(c_168,plain,
    ( ~ t(X0,X1)
    | ~ t(X0,X2)
    | ~ d(X0)
    | equalish(X1,X2) ),
    inference(bin_hyper_res,[status(thm)],[c_58,c_98]) ).

cnf(c_4670,plain,
    ( ~ r(X0,u4r4(X0))
    | ~ e(X0)
    | c(u4r4(X0)) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_4671,plain,
    ( ~ r(exist,u4r4(exist))
    | ~ e(exist)
    | c(u4r4(exist)) ),
    inference(instantiation,[status(thm)],[c_4670]) ).

cnf(c_4672,plain,
    ( ~ r(X0,u4r4(X0))
    | ~ e(X0)
    | s(X0,u4r4(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_4673,plain,
    ( ~ r(exist,u4r4(exist))
    | ~ e(exist)
    | s(exist,u4r4(exist)) ),
    inference(instantiation,[status(thm)],[c_4672]) ).

cnf(c_4674,plain,
    ( ~ c(u4r4(X0))
    | t(u4r4(X0),u1r2(u4r4(X0))) ),
    inference(instantiation,[status(thm)],[c_104]) ).

cnf(c_4675,plain,
    ( ~ c(u4r4(X0))
    | t(u4r4(X0),u1r1(u4r4(X0))) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_4676,plain,
    ( ~ equalish(u1r2(u4r4(X0)),u1r1(u4r4(X0)))
    | ~ c(u4r4(X0)) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_4677,plain,
    ( ~ equalish(u1r2(u4r4(exist)),u1r1(u4r4(exist)))
    | ~ c(u4r4(exist)) ),
    inference(instantiation,[status(thm)],[c_4676]) ).

cnf(c_4678,plain,
    ( ~ c(u4r4(exist))
    | t(u4r4(exist),u1r1(u4r4(exist))) ),
    inference(instantiation,[status(thm)],[c_4675]) ).

cnf(c_4679,plain,
    ( ~ c(u4r4(exist))
    | t(u4r4(exist),u1r2(u4r4(exist))) ),
    inference(instantiation,[status(thm)],[c_4674]) ).

cnf(c_4681,plain,
    ( ~ t(u4r4(X0),u1r2(u4r4(X0)))
    | ~ t(u4r4(X0),X1)
    | ~ d(u4r4(X0))
    | equalish(u1r2(u4r4(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_168]) ).

cnf(c_4695,plain,
    ( ~ s(X0,u4r4(X1))
    | ~ e(X0)
    | d(u4r4(X1)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_4696,plain,
    ( ~ s(exist,u4r4(exist))
    | ~ e(exist)
    | d(u4r4(exist)) ),
    inference(instantiation,[status(thm)],[c_4695]) ).

cnf(c_4709,plain,
    ( ~ t(u4r4(X0),u1r2(u4r4(X0)))
    | ~ t(u4r4(X0),u1r1(u4r4(X0)))
    | ~ d(u4r4(X0))
    | equalish(u1r2(u4r4(X0)),u1r1(u4r4(X0))) ),
    inference(instantiation,[status(thm)],[c_4681]) ).

cnf(c_4710,plain,
    ( ~ t(u4r4(exist),u1r2(u4r4(exist)))
    | ~ t(u4r4(exist),u1r1(u4r4(exist)))
    | ~ d(u4r4(exist))
    | equalish(u1r2(u4r4(exist)),u1r1(u4r4(exist))) ),
    inference(instantiation,[status(thm)],[c_4709]) ).

cnf(c_4711,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4710,c_4696,c_4679,c_4678,c_4677,c_4673,c_4671,c_81,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KRS015-1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 22:42:50 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 1.90/1.17  % SZS status Started for theBenchmark.p
% 1.90/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.90/1.17  
% 1.90/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.90/1.17  
% 1.90/1.17  ------  iProver source info
% 1.90/1.17  
% 1.90/1.17  git: date: 2024-05-02 19:28:25 +0000
% 1.90/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.90/1.17  git: non_committed_changes: false
% 1.90/1.17  
% 1.90/1.17  ------ Parsing...successful
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.90/1.17  
% 1.90/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.90/1.17  ------ Proving...
% 1.90/1.17  ------ Problem Properties 
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  clauses                                 22
% 1.90/1.17  conjectures                             1
% 1.90/1.17  EPR                                     7
% 1.90/1.17  Horn                                    12
% 1.90/1.17  unary                                   1
% 1.90/1.17  binary                                  7
% 1.90/1.17  lits                                    83
% 1.90/1.17  lits eq                                 0
% 1.90/1.17  fd_pure                                 0
% 1.90/1.17  fd_pseudo                               0
% 1.90/1.17  fd_cond                                 0
% 1.90/1.17  fd_pseudo_cond                          0
% 1.90/1.17  AC symbols                              0
% 1.90/1.17  
% 1.90/1.17  ------ Schedule dynamic 5 is on 
% 1.90/1.17  
% 1.90/1.17  ------ no equalities: superposition off 
% 1.90/1.17  
% 1.90/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  ------ 
% 1.90/1.17  Current options:
% 1.90/1.17  ------ 
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  ------ Proving...
% 1.90/1.17  
% 1.90/1.17  
% 1.90/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.90/1.17  
% 1.90/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/1.17  
% 1.90/1.17  
%------------------------------------------------------------------------------