TSTP Solution File: SYN622-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN622-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 03:31:51 EDT 2024

% Result   : Unsatisfiable 3.61s 1.16s
% Output   : CNFRefutation 3.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   32 (  14 unt;   0 nHn;  24 RR)
%            Number of literals    :   66 (   0 equ;  35 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    p8(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).

cnf(c_53,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).

cnf(c_56,negated_conjecture,
    p8(f16(X0,f17(X1,X0)),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_8) ).

cnf(c_58,negated_conjecture,
    ( ~ p2(X0,X1)
    | p11(f13(X0),f13(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_10) ).

cnf(c_69,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X0,X2)
    | p8(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_21) ).

cnf(c_72,negated_conjecture,
    p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_24) ).

cnf(c_74,negated_conjecture,
    ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_26) ).

cnf(c_79,negated_conjecture,
    ( ~ p11(X0,X1)
    | ~ p8(X2,X3)
    | p8(f12(X0,X2),f12(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).

cnf(c_83,plain,
    p2(c26,c26),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_96,plain,
    ( ~ p2(c26,c26)
    | p11(f13(c26),f13(c26)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_360,negated_conjecture,
    ( ~ p11(X0_14,X1_14)
    | ~ p8(X0_13,X1_13)
    | p8(f12(X0_14,X0_13),f12(X1_14,X1_13)) ),
    inference(subtyping,[status(esa)],[c_79]) ).

cnf(c_363,negated_conjecture,
    p8(f12(f13(c23),X0_13),f12(f13(c26),f16(c27,X0_13))),
    inference(subtyping,[status(esa)],[c_72]) ).

cnf(c_366,negated_conjecture,
    ( ~ p8(X0_13,X1_13)
    | ~ p8(X0_13,X2_13)
    | p8(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_69]) ).

cnf(c_378,negated_conjecture,
    p8(f16(X0_13,f17(X1_13,X0_13)),X1_13),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_382,negated_conjecture,
    p8(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_477,plain,
    ( ~ p8(X0_13,f12(f13(c23),f17(c28,c27)))
    | ~ p8(X0_13,f12(f13(c26),c28))
    | p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_366]) ).

cnf(c_528,plain,
    ( ~ p8(f12(X0_14,X0_13),f12(f13(c23),f17(c28,c27)))
    | ~ p8(f12(X0_14,X0_13),f12(f13(c26),c28))
    | p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_477]) ).

cnf(c_529,plain,
    ( ~ p11(X0_14,f13(c26))
    | ~ p8(X0_13,c28)
    | p8(f12(X0_14,X0_13),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_360]) ).

cnf(c_558,plain,
    p8(f16(X0_13,f17(c28,X0_13)),c28),
    inference(instantiation,[status(thm)],[c_378]) ).

cnf(c_560,plain,
    p8(f16(c27,f17(c28,c27)),c28),
    inference(instantiation,[status(thm)],[c_558]) ).

cnf(c_743,plain,
    ( ~ p8(f16(X0_13,f17(c28,X0_13)),c28)
    | ~ p11(X0_14,f13(c26))
    | p8(f12(X0_14,f16(X0_13,f17(c28,X0_13))),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_529]) ).

cnf(c_882,plain,
    ( ~ p8(X0_13,f12(f13(c23),f17(c28,c27)))
    | ~ p8(X0_13,X1_13)
    | p8(X1_13,f12(f13(c23),f17(c28,c27))) ),
    inference(instantiation,[status(thm)],[c_366]) ).

cnf(c_1186,plain,
    ( ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27)))
    | ~ p8(f12(f13(c23),f17(c28,c27)),X0_13)
    | p8(X0_13,f12(f13(c23),f17(c28,c27))) ),
    inference(instantiation,[status(thm)],[c_882]) ).

cnf(c_1187,plain,
    p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27))),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1399,plain,
    ( ~ p8(f16(X0_13,f17(c28,X0_13)),c28)
    | ~ p11(f13(c26),f13(c26))
    | p8(f12(f13(c26),f16(X0_13,f17(c28,X0_13))),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_743]) ).

cnf(c_1401,plain,
    ( ~ p8(f16(c27,f17(c28,c27)),c28)
    | ~ p11(f13(c26),f13(c26))
    | p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_1399]) ).

cnf(c_1519,plain,
    ( ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27)))
    | ~ p8(f12(f13(c23),f17(c28,c27)),f12(X0_14,X0_13))
    | p8(f12(X0_14,X0_13),f12(f13(c23),f17(c28,c27))) ),
    inference(instantiation,[status(thm)],[c_1186]) ).

cnf(c_1819,plain,
    ( ~ p8(f12(f13(c26),f16(X0_13,f17(c28,X0_13))),f12(f13(c23),f17(c28,c27)))
    | ~ p8(f12(f13(c26),f16(X0_13,f17(c28,X0_13))),f12(f13(c26),c28))
    | p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_528]) ).

cnf(c_1820,plain,
    ( ~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c23),f17(c28,c27)))
    | ~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28))
    | p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)) ),
    inference(instantiation,[status(thm)],[c_1819]) ).

cnf(c_2372,plain,
    ( ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),f16(c27,f17(c28,c27))))
    | ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c23),f17(c28,c27)))
    | p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c23),f17(c28,c27))) ),
    inference(instantiation,[status(thm)],[c_1519]) ).

cnf(c_2373,plain,
    p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),f16(c27,f17(c28,c27)))),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_2374,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2373,c_2372,c_1820,c_1401,c_1187,c_560,c_74,c_96,c_83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN622-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:37:49 EDT 2024
% 0.14/0.34  % 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
% 3.61/1.16  % SZS status Started for theBenchmark.p
% 3.61/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.61/1.16  
% 3.61/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.61/1.16  
% 3.61/1.16  ------  iProver source info
% 3.61/1.16  
% 3.61/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.61/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.61/1.16  git: non_committed_changes: false
% 3.61/1.16  
% 3.61/1.16  ------ Parsing...successful
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing... sf_s  rm: 7 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.61/1.16  ------ Proving...
% 3.61/1.16  ------ Problem Properties 
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  clauses                                 27
% 3.61/1.16  conjectures                             27
% 3.61/1.16  EPR                                     10
% 3.61/1.16  Horn                                    27
% 3.61/1.16  unary                                   10
% 3.61/1.16  binary                                  8
% 3.61/1.16  lits                                    53
% 3.61/1.16  lits eq                                 0
% 3.61/1.16  fd_pure                                 0
% 3.61/1.16  fd_pseudo                               0
% 3.61/1.16  fd_cond                                 0
% 3.61/1.16  fd_pseudo_cond                          0
% 3.61/1.16  AC symbols                              0
% 3.61/1.16  
% 3.61/1.16  ------ Input Options Time Limit: Unbounded
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ 
% 3.61/1.16  Current options:
% 3.61/1.16  ------ 
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ Proving...
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.61/1.16  
% 3.61/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.61/1.16  
% 3.61/1.16  
%------------------------------------------------------------------------------