TSTP Solution File: SWV415+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 22:32:56 EDT 2023

% Result   : Theorem 3.80s 1.20s
% Output   : CNFRefutation 3.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  21 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   81 (  22 sgn;  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,axiom,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f55,axiom,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f63,axiom,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main2_l12) ).

fof(f64,conjecture,
    ! [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co2) ).

fof(f65,negated_conjecture,
    ~ ! [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
    inference(negated_conjecture,[],[f64]) ).

fof(f116,plain,
    ? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3)),
    inference(ennf_transformation,[],[f65]) ).

fof(f127,plain,
    ( ? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3))
   => insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f116,f127]) ).

fof(f180,plain,
    ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    inference(cnf_transformation,[],[f42]) ).

fof(f193,plain,
    ! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
    inference(cnf_transformation,[],[f55]) ).

fof(f194,plain,
    ! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
    inference(cnf_transformation,[],[f63]) ).

fof(f195,plain,
    insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_100,plain,
    triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3) = insert_cpq(triple(X0,X2,X3),X1),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_111,plain,
    i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_112,plain,
    i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_113,negated_conjecture,
    insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_2818,plain,
    i(triple(X0,insert_slb(X1,pair(X2,bottom)),X3)) = i(insert_cpq(triple(X4,X1,X5),X2)),
    inference(superposition,[status(thm)],[c_100,c_112]) ).

cnf(c_2841,plain,
    i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X5,X1,X6)),X2),
    inference(superposition,[status(thm)],[c_111,c_112]) ).

cnf(c_6471,plain,
    i(insert_cpq(triple(X0,X1,X2),X3)) = i(insert_cpq(triple(X4,X1,X5),X3)),
    inference(superposition,[status(thm)],[c_2818,c_2818]) ).

cnf(c_6518,plain,
    i(insert_cpq(triple(X0,sK2,X1),sK4)) != insert_pq(i(triple(sK1,sK2,sK3)),sK4),
    inference(superposition,[status(thm)],[c_6471,c_113]) ).

cnf(c_6524,plain,
    i(triple(X0,insert_slb(sK2,pair(sK4,bottom)),X1)) != insert_pq(i(triple(sK1,sK2,sK3)),sK4),
    inference(superposition,[status(thm)],[c_2818,c_6518]) ).

cnf(c_6828,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_6524,c_2841]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.18/0.35  % Computer : n031.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Aug 29 09:32:11 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.80/1.20  % SZS status Started for theBenchmark.p
% 3.80/1.20  % SZS status Theorem for theBenchmark.p
% 3.80/1.20  
% 3.80/1.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.80/1.20  
% 3.80/1.20  ------  iProver source info
% 3.80/1.20  
% 3.80/1.20  git: date: 2023-05-31 18:12:56 +0000
% 3.80/1.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.80/1.20  git: non_committed_changes: false
% 3.80/1.20  git: last_make_outside_of_git: false
% 3.80/1.20  
% 3.80/1.20  ------ Parsing...
% 3.80/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.80/1.20  
% 3.80/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 3.80/1.20  
% 3.80/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.80/1.20  
% 3.80/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.80/1.20  ------ Proving...
% 3.80/1.20  ------ Problem Properties 
% 3.80/1.20  
% 3.80/1.20  
% 3.80/1.20  clauses                                 57
% 3.80/1.20  conjectures                             1
% 3.80/1.20  EPR                                     7
% 3.80/1.20  Horn                                    40
% 3.80/1.20  unary                                   24
% 3.80/1.20  binary                                  15
% 3.80/1.20  lits                                    109
% 3.80/1.20  lits eq                                 42
% 3.80/1.20  fd_pure                                 0
% 3.80/1.20  fd_pseudo                               0
% 3.80/1.20  fd_cond                                 5
% 3.80/1.20  fd_pseudo_cond                          7
% 3.80/1.20  AC symbols                              0
% 3.80/1.20  
% 3.80/1.20  ------ Schedule dynamic 5 is on 
% 3.80/1.20  
% 3.80/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.20  
% 3.80/1.20  
% 3.80/1.20  ------ 
% 3.80/1.20  Current options:
% 3.80/1.20  ------ 
% 3.80/1.20  
% 3.80/1.20  
% 3.80/1.20  
% 3.80/1.20  
% 3.80/1.20  ------ Proving...
% 3.80/1.20  
% 3.80/1.20  
% 3.80/1.20  % SZS status Theorem for theBenchmark.p
% 3.80/1.20  
% 3.80/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.20  
% 3.80/1.20  
%------------------------------------------------------------------------------