TSTP Solution File: PLA009-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PLA009-2 : TPTP v8.1.2. Released v1.1.0.
% 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 : Thu Aug 31 13:01:36 EDT 2023

% Result   : Unsatisfiable 0.50s 1.18s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   38 (  13 unt;   0 nHn;  36 RR)
%            Number of literals    :  134 (   0 equ; 112 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   62 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ holds(and(clear(d),on(a,b)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_D_AB) ).

cnf(c_50,plain,
    ( ~ differ(X0,X1)
    | differ(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).

cnf(c_51,plain,
    differ(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).

cnf(c_52,plain,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).

cnf(c_54,plain,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).

cnf(c_55,plain,
    differ(b,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).

cnf(c_63,plain,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).

cnf(c_65,plain,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).

cnf(c_66,plain,
    holds(clear(b),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state6) ).

cnf(c_67,plain,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).

cnf(c_68,plain,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).

cnf(c_70,plain,
    ( ~ holds(X0,X1)
    | ~ holds(X2,X1)
    | holds(and(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',and_definition) ).

cnf(c_71,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(empty,X1)
    | ~ differ(X0,table)
    | holds(holding(X0),do(pickup(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).

cnf(c_72,plain,
    ( ~ holds(on(X0,X1),X2)
    | ~ holds(clear(X0),X2)
    | ~ holds(empty,X2)
    | holds(clear(X1),do(pickup(X0),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_2) ).

cnf(c_73,plain,
    ( ~ holds(on(X0,X1),X2)
    | ~ differ(X0,X3)
    | holds(on(X0,X1),do(pickup(X3),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_3) ).

cnf(c_74,plain,
    ( ~ holds(clear(X0),X1)
    | ~ differ(X0,X2)
    | holds(clear(X0),do(pickup(X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).

cnf(c_75,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(empty,do(putdown(X2,X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_1) ).

cnf(c_76,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(on(X2,X0),do(putdown(X2,X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).

cnf(c_78,plain,
    ( ~ holds(on(X0,X1),X2)
    | holds(on(X0,X1),do(putdown(X3,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_4) ).

cnf(c_79,plain,
    ( ~ holds(clear(X0),X1)
    | ~ differ(X0,X2)
    | holds(clear(X0),do(putdown(X3,X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).

cnf(c_423,plain,
    differ(b,a),
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_427,plain,
    differ(c,b),
    inference(superposition,[status(thm)],[c_55,c_50]) ).

cnf(c_522,plain,
    ( ~ holds(on(a,b),X0)
    | ~ holds(clear(d),X0) ),
    inference(superposition,[status(thm)],[c_70,c_49]) ).

cnf(c_637,plain,
    ( ~ holds(clear(d),do(pickup(X0),X1))
    | ~ holds(on(a,b),X1)
    | ~ differ(a,X0) ),
    inference(superposition,[status(thm)],[c_73,c_522]) ).

cnf(c_850,plain,
    ( ~ holds(on(X0,d),X1)
    | ~ holds(on(a,b),X1)
    | ~ holds(clear(X0),X1)
    | ~ holds(empty,X1)
    | ~ differ(a,X0) ),
    inference(superposition,[status(thm)],[c_72,c_637]) ).

cnf(c_1029,plain,
    ( ~ holds(on(X0,d),do(putdown(a,b),X1))
    | ~ holds(clear(X0),do(putdown(a,b),X1))
    | ~ holds(empty,do(putdown(a,b),X1))
    | ~ holds(clear(b),X1)
    | ~ holds(holding(a),X1)
    | ~ differ(a,X0) ),
    inference(superposition,[status(thm)],[c_76,c_850]) ).

cnf(c_1279,plain,
    ( ~ holds(on(X0,d),do(putdown(a,b),X1))
    | ~ holds(clear(X0),do(putdown(a,b),X1))
    | ~ holds(clear(b),X1)
    | ~ holds(holding(a),X1)
    | ~ differ(a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1029,c_75]) ).

cnf(c_1285,plain,
    ( ~ holds(clear(X0),do(putdown(a,b),X1))
    | ~ holds(on(X0,d),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(holding(a),X1)
    | ~ differ(a,X0) ),
    inference(superposition,[status(thm)],[c_78,c_1279]) ).

cnf(c_1916,plain,
    ( ~ holds(on(X0,d),X1)
    | ~ holds(clear(X0),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(holding(a),X1)
    | ~ differ(X0,b)
    | ~ differ(a,X0) ),
    inference(superposition,[status(thm)],[c_79,c_1285]) ).

cnf(c_2739,plain,
    ( ~ holds(clear(X0),do(pickup(X1),X2))
    | ~ holds(clear(b),do(pickup(X1),X2))
    | ~ holds(holding(a),do(pickup(X1),X2))
    | ~ holds(on(X0,d),X2)
    | ~ differ(X0,X1)
    | ~ differ(X0,b)
    | ~ differ(a,X0) ),
    inference(superposition,[status(thm)],[c_73,c_1916]) ).

cnf(c_3523,plain,
    ( ~ holds(clear(b),do(pickup(X0),X1))
    | ~ holds(holding(a),do(pickup(X0),X1))
    | ~ holds(on(X2,d),X1)
    | ~ holds(clear(X2),X1)
    | ~ differ(X2,X0)
    | ~ differ(X2,b)
    | ~ differ(a,X2) ),
    inference(superposition,[status(thm)],[c_74,c_2739]) ).

cnf(c_4909,plain,
    ( ~ holds(clear(b),do(pickup(a),X0))
    | ~ holds(on(X1,d),X0)
    | ~ holds(clear(X1),X0)
    | ~ holds(clear(a),X0)
    | ~ holds(empty,X0)
    | ~ differ(X1,a)
    | ~ differ(X1,b)
    | ~ differ(a,X1)
    | ~ differ(a,table) ),
    inference(superposition,[status(thm)],[c_71,c_3523]) ).

cnf(c_4910,plain,
    ( ~ holds(clear(b),do(pickup(a),X0))
    | ~ holds(on(X1,d),X0)
    | ~ holds(clear(X1),X0)
    | ~ holds(clear(a),X0)
    | ~ holds(empty,X0)
    | ~ differ(X1,a)
    | ~ differ(X1,b)
    | ~ differ(a,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4909,c_54]) ).

cnf(c_7880,plain,
    ( ~ holds(clear(b),do(pickup(a),X0))
    | ~ holds(on(X1,d),X0)
    | ~ holds(clear(X1),X0)
    | ~ holds(clear(a),X0)
    | ~ holds(empty,X0)
    | ~ differ(X1,b)
    | ~ differ(a,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4910,c_50]) ).

cnf(c_7889,plain,
    ( ~ holds(on(X0,d),X1)
    | ~ holds(clear(X0),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(empty,X1)
    | ~ differ(X0,b)
    | ~ differ(a,X0)
    | ~ differ(b,a) ),
    inference(superposition,[status(thm)],[c_74,c_7880]) ).

cnf(c_7897,plain,
    ( ~ holds(on(X0,d),X1)
    | ~ holds(clear(X0),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(empty,X1)
    | ~ differ(X0,b)
    | ~ differ(a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7889,c_423]) ).

cnf(c_9485,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(b),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ differ(a,c)
    | ~ differ(c,b) ),
    inference(superposition,[status(thm)],[c_63,c_7897]) ).

cnf(c_9489,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9485,c_427,c_52,c_68,c_67,c_66,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PLA009-2 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n012.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 : Sun Aug 27 06:00:55 EDT 2023
% 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.50/1.18  % SZS status Started for theBenchmark.p
% 0.50/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.18  
% 0.50/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.50/1.18  
% 0.50/1.18  ------  iProver source info
% 0.50/1.18  
% 0.50/1.18  git: date: 2023-05-31 18:12:56 +0000
% 0.50/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.50/1.18  git: non_committed_changes: false
% 0.50/1.18  git: last_make_outside_of_git: false
% 0.50/1.18  
% 0.50/1.18  ------ Parsing...successful
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.50/1.18  
% 0.50/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.50/1.18  ------ Proving...
% 0.50/1.18  ------ Problem Properties 
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  clauses                                 31
% 0.50/1.18  conjectures                             1
% 0.50/1.18  EPR                                     12
% 0.50/1.18  Horn                                    31
% 0.50/1.18  unary                                   20
% 0.50/1.18  binary                                  2
% 0.50/1.18  lits                                    53
% 0.50/1.18  lits eq                                 0
% 0.50/1.18  fd_pure                                 0
% 0.50/1.18  fd_pseudo                               0
% 0.50/1.18  fd_cond                                 0
% 0.50/1.18  fd_pseudo_cond                          0
% 0.50/1.18  AC symbols                              0
% 0.50/1.18  
% 0.50/1.18  ------ Schedule dynamic 5 is on 
% 0.50/1.18  
% 0.50/1.18  ------ no equalities: superposition off 
% 0.50/1.18  
% 0.50/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  ------ 
% 0.50/1.18  Current options:
% 0.50/1.18  ------ 
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  ------ Proving...
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.50/1.18  
% 0.50/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/1.18  
% 0.50/1.18  
%------------------------------------------------------------------------------