TSTP Solution File: COL088-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 02:09:50 EDT 2024

% Result   : Unsatisfiable 110.28s 15.23s
% Output   : CNFRefutation 110.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (   7 unt;   0 nHn;  24 RR)
%            Number of literals    :   63 (   1 equ;  40 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   36 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_201,plain,
    ( ~ member(X0,comb)
    | ~ member(X1,comb)
    | member(comb_app(X0,X1),comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).

cnf(c_202,plain,
    ( ~ member(X0,comb)
    | member(pair(X0,X0),rtrancl(contract)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).

cnf(c_222,plain,
    ( ~ member(pair(X0,X1),X2)
    | ~ member(pair(X1,X3),X2)
    | ~ trans(X2)
    | member(pair(X0,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

cnf(c_223,plain,
    trans(rtrancl(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).

cnf(c_224,plain,
    ( ~ member(pair(X0,X1),contract)
    | member(X1,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).

cnf(c_227,plain,
    ( ~ member(pair(comb_app(X0,X1),X2),rtrancl(contract))
    | ~ member(pair(X3,X0),contract)
    | ~ member(X1,comb)
    | member(pair(comb_app(X3,X1),X2),rtrancl(contract)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_3) ).

cnf(c_229,plain,
    member(r,comb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h1) ).

cnf(c_232,plain,
    member(pair(y,z),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h4) ).

cnf(c_233,plain,
    member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h5) ).

cnf(c_234,negated_conjecture,
    ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2c1) ).

cnf(c_1806,plain,
    ( rtrancl(X0) != X1
    | ~ member(pair(X2,X3),X1)
    | ~ member(pair(X3,X4),X1)
    | member(pair(X2,X4),X1) ),
    inference(resolution_lifted,[status(thm)],[c_222,c_223]) ).

cnf(c_1807,plain,
    ( ~ member(pair(X0,X1),rtrancl(X2))
    | ~ member(pair(X1,X3),rtrancl(X2))
    | member(pair(X0,X3),rtrancl(X2)) ),
    inference(unflattening,[status(thm)],[c_1806]) ).

cnf(c_6447,plain,
    ( ~ member(pair(comb_app(y,r),X0),rtrancl(contract))
    | member(pair(comb_app(p,r),X0),rtrancl(contract)) ),
    inference(superposition,[status(thm)],[c_233,c_1807]) ).

cnf(c_6464,plain,
    ( ~ member(pair(X0,X1),contract)
    | ~ member(comb_app(X1,X2),comb)
    | ~ member(X2,comb)
    | member(pair(comb_app(X0,X2),comb_app(X1,X2)),rtrancl(contract)) ),
    inference(superposition,[status(thm)],[c_202,c_227]) ).

cnf(c_6569,plain,
    ( ~ member(pair(y,X0),contract)
    | ~ member(comb_app(X0,r),comb)
    | ~ member(r,comb)
    | member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract)) ),
    inference(superposition,[status(thm)],[c_6464,c_6447]) ).

cnf(c_6814,plain,
    member(z,comb),
    inference(superposition,[status(thm)],[c_232,c_224]) ).

cnf(c_6827,plain,
    ( ~ member(pair(comb_app(y,r),X0),rtrancl(contract))
    | member(pair(comb_app(p,r),X0),rtrancl(contract)) ),
    inference(superposition,[status(thm)],[c_233,c_1807]) ).

cnf(c_6836,plain,
    ( ~ member(pair(X0,X1),contract)
    | ~ member(comb_app(X1,X2),comb)
    | ~ member(X2,comb)
    | member(pair(comb_app(X0,X2),comb_app(X1,X2)),rtrancl(contract)) ),
    inference(superposition,[status(thm)],[c_202,c_227]) ).

cnf(c_6842,plain,
    ( ~ member(X0,comb)
    | ~ member(r,comb)
    | member(comb_app(X0,r),comb) ),
    inference(instantiation,[status(thm)],[c_201]) ).

cnf(c_6868,plain,
    ( ~ member(r,comb)
    | ~ member(z,comb)
    | member(comb_app(z,r),comb) ),
    inference(instantiation,[status(thm)],[c_6842]) ).

cnf(c_6921,plain,
    ( ~ member(pair(y,X0),contract)
    | ~ member(comb_app(X0,r),comb)
    | ~ member(r,comb)
    | member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract)) ),
    inference(superposition,[status(thm)],[c_6836,c_6827]) ).

cnf(c_7281,plain,
    ( ~ member(comb_app(X0,r),comb)
    | ~ member(pair(y,X0),contract)
    | member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract)) ),
    inference(global_subsumption_just,[status(thm)],[c_6921,c_229,c_6569]) ).

cnf(c_7282,plain,
    ( ~ member(pair(y,X0),contract)
    | ~ member(comb_app(X0,r),comb)
    | member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract)) ),
    inference(renaming,[status(thm)],[c_7281]) ).

cnf(c_7286,plain,
    ( ~ member(pair(y,z),contract)
    | ~ member(comb_app(z,r),comb) ),
    inference(superposition,[status(thm)],[c_7282,c_234]) ).

cnf(c_7288,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7286,c_6868,c_6814,c_232,c_229]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 21:22:26 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 110.28/15.23  % SZS status Started for theBenchmark.p
% 110.28/15.23  % SZS status Unsatisfiable for theBenchmark.p
% 110.28/15.23  
% 110.28/15.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 110.28/15.23  
% 110.28/15.23  ------  iProver source info
% 110.28/15.23  
% 110.28/15.23  git: date: 2024-05-02 19:28:25 +0000
% 110.28/15.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 110.28/15.23  git: non_committed_changes: false
% 110.28/15.23  
% 110.28/15.23  ------ Parsing...successful
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  ------ Preprocessing... sup_sim: 0  sf_s  rm: 16 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 110.28/15.23  
% 110.28/15.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 110.28/15.23  
% 110.28/15.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 110.28/15.23  ------ Proving...
% 110.28/15.23  ------ Problem Properties 
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  clauses                                 155
% 110.28/15.23  conjectures                             1
% 110.28/15.23  EPR                                     14
% 110.28/15.23  Horn                                    129
% 110.28/15.23  unary                                   24
% 110.28/15.23  binary                                  86
% 110.28/15.23  lits                                    341
% 110.28/15.23  lits eq                                 55
% 110.28/15.23  fd_pure                                 0
% 110.28/15.23  fd_pseudo                               0
% 110.28/15.23  fd_cond                                 0
% 110.28/15.23  fd_pseudo_cond                          19
% 110.28/15.23  AC symbols                              0
% 110.28/15.23  
% 110.28/15.23  ------ Input Options Time Limit: Unbounded
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  ------ 
% 110.28/15.23  Current options:
% 110.28/15.23  ------ 
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  ------ Proving...
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  ------ Proving...
% 110.28/15.23  
% 110.28/15.23  
% 110.28/15.23  % SZS status Unsatisfiable for theBenchmark.p
% 110.28/15.23  
% 110.28/15.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 110.28/15.23  
% 110.28/15.23  
%------------------------------------------------------------------------------