TSTP Solution File: SWC340-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC340-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 03:12:04 EDT 2024

% Result   : Unsatisfiable 30.62s 5.26s
% Output   : CNFRefutation 30.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   31 (  20 unt;   2 nHn;  26 RR)
%            Number of literals    :   74 (   6 equ;  43 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ totalorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_84,plain,
    ssList(skaf68(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause27) ).

cnf(c_85,plain,
    ssList(skaf67(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause28) ).

cnf(c_86,plain,
    ssList(skaf66(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause29) ).

cnf(c_87,plain,
    ssItem(skaf65(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause30) ).

cnf(c_88,plain,
    ssItem(skaf64(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause31) ).

cnf(c_148,plain,
    ( ~ leq(skaf64(X0),skaf65(X0))
    | ~ ssList(X0)
    | totalorderedP(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause91) ).

cnf(c_160,plain,
    ( ~ lt(X0,X1)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | leq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).

cnf(c_221,plain,
    ( ~ ssList(X0)
    | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
    | totalorderedP(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause164) ).

cnf(c_238,plain,
    ( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ strictorderedP(X5)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | lt(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).

cnf(c_262,plain,
    ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
    | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | lt(X1,X3) ),
    inference(unflattening,[status(thm)],[c_238]) ).

cnf(c_1511,plain,
    segmentP(sk4,sk1),
    inference(demodulation,[status(thm)],[c_55,c_54]) ).

cnf(c_1513,plain,
    strictorderedP(sk1),
    inference(demodulation,[status(thm)],[c_56,c_54]) ).

cnf(c_1514,plain,
    segmentP(sk2,sk1),
    inference(demodulation,[status(thm)],[c_1511,c_53]) ).

cnf(c_1596,plain,
    ~ totalorderedP(sk1),
    inference(forward_subsumption_resolution,[status(thm)],[c_57,c_1514]) ).

cnf(c_6280,negated_conjecture,
    ssList(sk1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_9887,plain,
    ( ~ leq(skaf64(sk1),skaf65(sk1))
    | ~ ssList(sk1)
    | totalorderedP(sk1) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_13731,plain,
    ( ~ lt(skaf64(sk1),skaf65(sk1))
    | ~ ssItem(skaf65(sk1))
    | ~ ssItem(skaf64(sk1))
    | leq(skaf64(sk1),skaf65(sk1)) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_17166,plain,
    ( app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) = sk1
    | totalorderedP(sk1) ),
    inference(superposition,[status(thm)],[c_6280,c_221]) ).

cnf(c_17201,plain,
    app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_17166,c_1596]) ).

cnf(c_27804,plain,
    ssItem(skaf65(sk1)),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_29717,plain,
    ssItem(skaf64(sk1)),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_85694,plain,
    ( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
    | ~ ssList(skaf68(sk1))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf66(sk1))
    | ~ ssItem(skaf65(sk1))
    | ~ ssItem(skaf64(sk1))
    | ~ ssList(sk1)
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(superposition,[status(thm)],[c_17201,c_262]) ).

cnf(c_85760,plain,
    ( ~ ssList(skaf68(sk1))
    | ~ ssList(skaf67(sk1))
    | ~ ssList(skaf66(sk1))
    | ~ ssItem(skaf65(sk1))
    | ~ ssItem(skaf64(sk1))
    | ~ ssList(sk1)
    | ~ strictorderedP(sk1)
    | lt(skaf64(sk1),skaf65(sk1)) ),
    inference(light_normalisation,[status(thm)],[c_85694,c_17201]) ).

cnf(c_85761,plain,
    lt(skaf64(sk1),skaf65(sk1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_85760,c_1513,c_6280,c_88,c_87,c_86,c_85,c_84]) ).

cnf(c_85827,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_85761,c_29717,c_27804,c_13731,c_9887,c_1514,c_57,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC340-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.37  % DateTime : Thu May  2 23:28:25 EDT 2024
% 0.14/0.37  % CPUTime  : 
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  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
% 30.62/5.26  % SZS status Started for theBenchmark.p
% 30.62/5.26  % SZS status Unsatisfiable for theBenchmark.p
% 30.62/5.26  
% 30.62/5.26  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 30.62/5.26  
% 30.62/5.26  ------  iProver source info
% 30.62/5.26  
% 30.62/5.26  git: date: 2024-05-02 19:28:25 +0000
% 30.62/5.26  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 30.62/5.26  git: non_committed_changes: false
% 30.62/5.26  
% 30.62/5.26  ------ Parsing...successful
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  ------ Preprocessing... sup_sim: 8  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 30.62/5.26  
% 30.62/5.26  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 30.62/5.26  
% 30.62/5.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 30.62/5.26  ------ Proving...
% 30.62/5.26  ------ Problem Properties 
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  clauses                                 184
% 30.62/5.26  conjectures                             4
% 30.62/5.26  EPR                                     59
% 30.62/5.26  Horn                                    156
% 30.62/5.26  unary                                   65
% 30.62/5.26  binary                                  21
% 30.62/5.26  lits                                    548
% 30.62/5.26  lits eq                                 71
% 30.62/5.26  fd_pure                                 0
% 30.62/5.26  fd_pseudo                               0
% 30.62/5.26  fd_cond                                 15
% 30.62/5.26  fd_pseudo_cond                          14
% 30.62/5.26  AC symbols                              0
% 30.62/5.26  
% 30.62/5.26  ------ Schedule dynamic 5 is on 
% 30.62/5.26  
% 30.62/5.26  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  ------ 
% 30.62/5.26  Current options:
% 30.62/5.26  ------ 
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  ------ Proving...
% 30.62/5.26  
% 30.62/5.26  
% 30.62/5.26  % SZS status Unsatisfiable for theBenchmark.p
% 30.62/5.26  
% 30.62/5.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.62/5.26  
% 30.62/5.26  
%------------------------------------------------------------------------------