TSTP Solution File: COL117-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL117-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 02:09:57 EDT 2024

% Result   : Unsatisfiable 8.17s 1.63s
% Output   : CNFRefutation 8.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-4 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_1454,plain,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X0),X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X2)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__3_0) ).

cnf(c_1455,plain,
    ( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X3),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__4_0) ).

cnf(c_25324,plain,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(superposition,[status(thm)],[c_1454,c_52]) ).

cnf(c_25333,plain,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(superposition,[status(thm)],[c_1455,c_25324]) ).

cnf(c_25348,plain,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(superposition,[status(thm)],[c_1455,c_25333]) ).

cnf(c_25371,plain,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(global_subsumption_just,[status(thm)],[c_25348,c_50,c_49,c_25348]) ).

cnf(c_25373,plain,
    ( ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(superposition,[status(thm)],[c_1455,c_25371]) ).

cnf(c_25374,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_25373,c_49,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COL117-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:13:19 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 8.17/1.63  % SZS status Started for theBenchmark.p
% 8.17/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 8.17/1.63  
% 8.17/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.17/1.63  
% 8.17/1.63  ------  iProver source info
% 8.17/1.63  
% 8.17/1.63  git: date: 2024-05-02 19:28:25 +0000
% 8.17/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.17/1.63  git: non_committed_changes: false
% 8.17/1.63  
% 8.17/1.63  ------ Parsing...successful
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 8.17/1.63  
% 8.17/1.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.17/1.63  
% 8.17/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.17/1.63  ------ Proving...
% 8.17/1.63  ------ Problem Properties 
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  clauses                                 342
% 8.17/1.63  conjectures                             4
% 8.17/1.63  EPR                                     27
% 8.17/1.63  Horn                                    301
% 8.17/1.63  unary                                   89
% 8.17/1.63  binary                                  191
% 8.17/1.63  lits                                    685
% 8.17/1.63  lits eq                                 219
% 8.17/1.63  fd_pure                                 0
% 8.17/1.63  fd_pseudo                               0
% 8.17/1.63  fd_cond                                 23
% 8.17/1.63  fd_pseudo_cond                          42
% 8.17/1.63  AC symbols                              0
% 8.17/1.63  
% 8.17/1.63  ------ Input Options Time Limit: Unbounded
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  ------ 
% 8.17/1.63  Current options:
% 8.17/1.63  ------ 
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  ------ Proving...
% 8.17/1.63  
% 8.17/1.63  
% 8.17/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 8.17/1.63  
% 8.17/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.17/1.63  
% 8.17/1.63  
%------------------------------------------------------------------------------