TSTP Solution File: SWC314-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC314-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 : Thu Aug 31 20:42:28 EDT 2023

% Result   : Unsatisfiable 8.93s 2.19s
% Output   : CNFRefutation 8.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   58 (  20 unt;  15 nHn;  58 RR)
%            Number of literals    :  154 (  68 equ;  87 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( app(X0,X1) != X2
    | cons(X3,nil) != X1
    | tl(sk4) != X0
    | hd(sk4) != X3
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | X2 = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( sk2 = nil
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk1 != nil
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk2 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk2
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) != sk1
    | sk2 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( sk1 != nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( sk1 != nil
    | app(cons(sk5,nil),sk6) = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) != sk1
    | sk1 != nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_72,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_141,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssList(tl(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).

cnf(c_142,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssItem(hd(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).

cnf(c_149,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_150,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | ssList(cons(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(c_160,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | tl(cons(X1,X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).

cnf(c_161,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | hd(cons(X1,X0)) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).

cnf(c_162,plain,
    ( cons(X0,X1) != nil
    | ~ ssList(X1)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).

cnf(c_164,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_184,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X0) = cons(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(c_273,negated_conjecture,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | app(tl(sk4),cons(hd(sk4),nil)) = sk3 ),
    inference(unflattening,[status(thm)],[c_56]) ).

cnf(c_669,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | app(tl(sk4),cons(hd(sk4),nil)) = sk3 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_273,c_149]) ).

cnf(c_1666,plain,
    ( sk2 != nil
    | sk1 = nil ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_2453,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_669,c_53,c_54]) ).

cnf(c_3466,negated_conjecture,
    app(sk6,cons(sk5,nil)) != sk1,
    inference(global_subsumption_just,[status(thm)],[c_64,c_61,c_64,c_1666]) ).

cnf(c_3468,negated_conjecture,
    app(cons(sk5,nil),sk6) = sk2,
    inference(global_subsumption_just,[status(thm)],[c_63,c_60,c_63,c_1666]) ).

cnf(c_3470,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_62,c_59,c_62,c_1666]) ).

cnf(c_3472,negated_conjecture,
    app(sk6,cons(sk5,nil)) != sk1,
    inference(global_subsumption_just,[status(thm)],[c_61,c_3466]) ).

cnf(c_3474,negated_conjecture,
    app(cons(sk5,nil),sk6) = sk2,
    inference(global_subsumption_just,[status(thm)],[c_60,c_3468]) ).

cnf(c_3476,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_59,c_3470]) ).

cnf(c_3478,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_58,c_57,c_58,c_1666]) ).

cnf(c_3480,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_57,c_3478]) ).

cnf(c_12483,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(nil)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1 ),
    inference(superposition,[status(thm)],[c_150,c_2453]) ).

cnf(c_12494,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12483,c_72]) ).

cnf(c_12881,plain,
    ( ~ ssItem(X0)
    | tl(cons(X0,sk6)) = sk6 ),
    inference(superposition,[status(thm)],[c_3476,c_160]) ).

cnf(c_13061,plain,
    ( ~ ssItem(X0)
    | hd(cons(X0,sk6)) = X0 ),
    inference(superposition,[status(thm)],[c_3476,c_161]) ).

cnf(c_13380,plain,
    tl(cons(sk5,sk6)) = sk6,
    inference(superposition,[status(thm)],[c_3480,c_12881]) ).

cnf(c_13480,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ neq(nil,sk2)
    | ~ ssList(sk2)
    | ~ ssList(nil)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_164,c_12494]) ).

cnf(c_13481,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ neq(nil,sk2)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13480,c_72,c_50]) ).

cnf(c_13666,plain,
    hd(cons(sk5,sk6)) = sk5,
    inference(superposition,[status(thm)],[c_3480,c_13061]) ).

cnf(c_13719,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ ssList(sk2)
    | ~ ssList(nil)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_164,c_13481]) ).

cnf(c_13720,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13719,c_72,c_50]) ).

cnf(c_13780,plain,
    ( ~ ssList(tl(sk2))
    | ~ ssList(sk2)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_142,c_13720]) ).

cnf(c_13785,plain,
    ( ~ ssList(tl(sk2))
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13780,c_50]) ).

cnf(c_13800,plain,
    ( ~ ssList(sk2)
    | app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(superposition,[status(thm)],[c_141,c_13785]) ).

cnf(c_13801,plain,
    ( app(tl(sk2),cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13800,c_50]) ).

cnf(c_14326,plain,
    ( ~ ssItem(X0)
    | app(cons(X0,nil),sk6) = cons(X0,sk6) ),
    inference(superposition,[status(thm)],[c_3476,c_184]) ).

cnf(c_15426,plain,
    app(cons(sk5,nil),sk6) = cons(sk5,sk6),
    inference(superposition,[status(thm)],[c_3480,c_14326]) ).

cnf(c_15446,plain,
    cons(sk5,sk6) = sk2,
    inference(light_normalisation,[status(thm)],[c_15426,c_3474]) ).

cnf(c_15452,plain,
    hd(sk2) = sk5,
    inference(demodulation,[status(thm)],[c_13666,c_15446]) ).

cnf(c_15453,plain,
    tl(sk2) = sk6,
    inference(demodulation,[status(thm)],[c_13380,c_15446]) ).

cnf(c_15455,plain,
    ( app(sk6,cons(hd(sk2),nil)) = sk1
    | sk2 = nil ),
    inference(demodulation,[status(thm)],[c_13801,c_15453]) ).

cnf(c_15794,plain,
    ( sk2 != nil
    | ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_15446,c_162]) ).

cnf(c_15796,plain,
    sk2 != nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_15794,c_3480,c_3476]) ).

cnf(c_26141,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_15796,c_15455,c_15452,c_3472]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC314-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n014.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 17:39:45 EDT 2023
% 0.14/0.35  % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.93/2.19  % SZS status Started for theBenchmark.p
% 8.93/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 8.93/2.19  
% 8.93/2.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.93/2.19  
% 8.93/2.19  ------  iProver source info
% 8.93/2.19  
% 8.93/2.19  git: date: 2023-05-31 18:12:56 +0000
% 8.93/2.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.93/2.19  git: non_committed_changes: false
% 8.93/2.19  git: last_make_outside_of_git: false
% 8.93/2.19  
% 8.93/2.19  ------ Parsing...successful
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  ------ Preprocessing... sup_sim: 6  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 8.93/2.19  
% 8.93/2.19  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.93/2.19  
% 8.93/2.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.93/2.19  ------ Proving...
% 8.93/2.19  ------ Problem Properties 
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  clauses                                 191
% 8.93/2.19  conjectures                             8
% 8.93/2.19  EPR                                     63
% 8.93/2.19  Horn                                    161
% 8.93/2.19  unary                                   66
% 8.93/2.19  binary                                  24
% 8.93/2.19  lits                                    569
% 8.93/2.19  lits eq                                 78
% 8.93/2.19  fd_pure                                 0
% 8.93/2.19  fd_pseudo                               0
% 8.93/2.19  fd_cond                                 15
% 8.93/2.19  fd_pseudo_cond                          16
% 8.93/2.19  AC symbols                              0
% 8.93/2.19  
% 8.93/2.19  ------ Schedule dynamic 5 is on 
% 8.93/2.19  
% 8.93/2.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  ------ 
% 8.93/2.19  Current options:
% 8.93/2.19  ------ 
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  ------ Proving...
% 8.93/2.19  
% 8.93/2.19  
% 8.93/2.19  % SZS status Unsatisfiable for theBenchmark.p
% 8.93/2.19  
% 8.93/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.93/2.19  
% 8.93/2.20  
%------------------------------------------------------------------------------