TSTP Solution File: SWC279-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC279-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 03:11:50 EDT 2024

% Result   : Unsatisfiable 4.18s 1.19s
% Output   : CNFRefutation 4.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  16 unt;   4 nHn;  34 RR)
%            Number of literals    :   83 (   7 equ;  46 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

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

cnf(c_55,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk3
    | ~ memberP(X2,X3)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk3
    | ~ memberP(X0,X3)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | leq(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ssItem(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( memberP(sk6,sk8)
    | memberP(sk7,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( ~ leq(sk5,sk8)
    | memberP(sk6,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( ~ leq(sk8,sk5)
    | memberP(sk7,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ leq(sk5,sk8)
    | ~ leq(sk8,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_1707,plain,
    app(app(sk6,cons(sk5,nil)),sk7) = sk3,
    inference(light_normalisation,[status(thm)],[c_60,c_54]) ).

cnf(c_6465,negated_conjecture,
    ( ~ leq(sk8,sk5)
    | memberP(sk7,sk8) ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_6467,negated_conjecture,
    ( memberP(sk6,sk8)
    | memberP(sk7,sk8) ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_6468,negated_conjecture,
    ssItem(sk8),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_6469,negated_conjecture,
    ssList(sk7),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_6470,negated_conjecture,
    ssList(sk6),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_6471,negated_conjecture,
    ssItem(sk5),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_6472,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk3
    | ~ memberP(X0,X3)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | leq(X3,X1) ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_6473,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sk3
    | ~ memberP(X2,X3)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | leq(X1,X3) ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_9112,plain,
    ( ~ memberP(sk7,X0)
    | ~ ssItem(X0)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ ssItem(sk5)
    | leq(sk5,X0) ),
    inference(superposition,[status(thm)],[c_1707,c_6473]) ).

cnf(c_9113,plain,
    ( ~ memberP(sk6,X0)
    | ~ ssItem(X0)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ ssItem(sk5)
    | leq(X0,sk5) ),
    inference(superposition,[status(thm)],[c_1707,c_6472]) ).

cnf(c_9114,plain,
    ( ~ memberP(sk6,X0)
    | ~ ssItem(X0)
    | leq(X0,sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9113,c_6471,c_6469,c_6470]) ).

cnf(c_9118,plain,
    ( ~ memberP(sk7,X0)
    | ~ ssItem(X0)
    | leq(sk5,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9112,c_6471,c_6469,c_6470]) ).

cnf(c_9146,plain,
    ( ~ ssItem(sk8)
    | leq(sk5,sk8)
    | memberP(sk6,sk8) ),
    inference(superposition,[status(thm)],[c_6467,c_9118]) ).

cnf(c_9147,plain,
    ( leq(sk5,sk8)
    | memberP(sk6,sk8) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9146,c_6468]) ).

cnf(c_9150,plain,
    memberP(sk6,sk8),
    inference(global_subsumption_just,[status(thm)],[c_9147,c_63,c_9147]) ).

cnf(c_9152,plain,
    ( ~ ssItem(sk8)
    | leq(sk8,sk5) ),
    inference(superposition,[status(thm)],[c_9150,c_9114]) ).

cnf(c_9153,plain,
    leq(sk8,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_9152,c_6468]) ).

cnf(c_9155,plain,
    memberP(sk7,sk8),
    inference(backward_subsumption_resolution,[status(thm)],[c_6465,c_9153]) ).

cnf(c_9156,plain,
    ( ~ ssItem(sk8)
    | leq(sk5,sk8) ),
    inference(superposition,[status(thm)],[c_9155,c_9118]) ).

cnf(c_9157,plain,
    leq(sk5,sk8),
    inference(forward_subsumption_resolution,[status(thm)],[c_9156,c_6468]) ).

cnf(c_9158,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9157,c_9153,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC279-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n027.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 : Fri May  3 00:00:05 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 4.18/1.19  % SZS status Started for theBenchmark.p
% 4.18/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.19  
% 4.18/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.18/1.19  
% 4.18/1.19  ------  iProver source info
% 4.18/1.19  
% 4.18/1.19  git: date: 2024-05-02 19:28:25 +0000
% 4.18/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.18/1.19  git: non_committed_changes: false
% 4.18/1.19  
% 4.18/1.19  ------ Parsing...successful
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  ------ Preprocessing... sup_sim: 5  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 
% 4.18/1.19  
% 4.18/1.19  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.18/1.19  
% 4.18/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.18/1.19  ------ Proving...
% 4.18/1.19  ------ Problem Properties 
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  clauses                                 192
% 4.18/1.19  conjectures                             14
% 4.18/1.19  EPR                                     64
% 4.18/1.19  Horn                                    163
% 4.18/1.19  unary                                   67
% 4.18/1.19  binary                                  25
% 4.18/1.19  lits                                    572
% 4.18/1.19  lits eq                                 74
% 4.18/1.19  fd_pure                                 0
% 4.18/1.19  fd_pseudo                               0
% 4.18/1.19  fd_cond                                 15
% 4.18/1.19  fd_pseudo_cond                          14
% 4.18/1.19  AC symbols                              0
% 4.18/1.19  
% 4.18/1.19  ------ Schedule dynamic 5 is on 
% 4.18/1.19  
% 4.18/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  ------ 
% 4.18/1.19  Current options:
% 4.18/1.19  ------ 
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  ------ Proving...
% 4.18/1.19  
% 4.18/1.19  
% 4.18/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.18/1.19  
% 4.18/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.19  
% 4.18/1.19  
%------------------------------------------------------------------------------