TSTP Solution File: COL090-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL090-1 : 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 0.42s 1.12s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    combK != combS,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_s) ).

cnf(c_51,plain,
    comb_app(X0,X1) != combS,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_app) ).

cnf(c_52,plain,
    ( comb_app(X0,X1) != comb_app(X2,X3)
    | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app1) ).

cnf(c_63,plain,
    ( ~ member(pair(comb_app(X0,X1),X2),contract)
    | ap_contractE_c1(X0,X1,X2)
    | ap_contractE_c2(X0,X1,X2)
    | ap_contractE_c3(X0,X1,X2)
    | ap_contractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).

cnf(c_66,plain,
    ( ~ ap_contractE_c1(X0,X1,X2)
    | comb_app(combK,X2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).

cnf(c_71,plain,
    ( ~ ap_contractE_c2(X0,X1,X2)
    | comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).

cnf(c_72,plain,
    ( ~ ap_contractE_c3(X0,X1,X2)
    | member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).

cnf(c_75,plain,
    ( ~ ap_contractE_c4(X0,X1,X2)
    | member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).

cnf(c_78,plain,
    ~ member(pair(combK,X0),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).

cnf(c_79,plain,
    ~ member(pair(combS,X0),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_contractE) ).

cnf(c_80,negated_conjecture,
    member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_contract_E) ).

cnf(c_1167,plain,
    comb_app(combS,combK) = sP0_iProver_def,
    definition ).

cnf(c_1168,plain,
    comb_app(sP0_iProver_def,combK) = sP1_iProver_def,
    definition ).

cnf(c_1169,plain,
    pair(sP1_iProver_def,r) = sP2_iProver_def,
    definition ).

cnf(c_1170,negated_conjecture,
    member(sP2_iProver_def,contract),
    inference(demodulation,[status(thm)],[c_80,c_1167,c_1168,c_1169]) ).

cnf(c_1558,plain,
    ( comb_app(X0,X1) != sP0_iProver_def
    | X0 = combS ),
    inference(superposition,[status(thm)],[c_1167,c_52]) ).

cnf(c_1635,plain,
    ~ ap_contractE_c3(combS,X0,X1),
    inference(superposition,[status(thm)],[c_72,c_79]) ).

cnf(c_1642,plain,
    ~ ap_contractE_c4(X0,combK,X1),
    inference(superposition,[status(thm)],[c_75,c_78]) ).

cnf(c_1681,plain,
    ( ~ member(pair(sP0_iProver_def,X0),contract)
    | ap_contractE_c1(combS,combK,X0)
    | ap_contractE_c2(combS,combK,X0)
    | ap_contractE_c3(combS,combK,X0)
    | ap_contractE_c4(combS,combK,X0) ),
    inference(superposition,[status(thm)],[c_1167,c_63]) ).

cnf(c_1682,plain,
    ( ~ member(pair(sP1_iProver_def,X0),contract)
    | ap_contractE_c1(sP0_iProver_def,combK,X0)
    | ap_contractE_c2(sP0_iProver_def,combK,X0)
    | ap_contractE_c3(sP0_iProver_def,combK,X0)
    | ap_contractE_c4(sP0_iProver_def,combK,X0) ),
    inference(superposition,[status(thm)],[c_1168,c_63]) ).

cnf(c_1683,plain,
    ( ~ member(pair(sP1_iProver_def,X0),contract)
    | ap_contractE_c1(sP0_iProver_def,combK,X0)
    | ap_contractE_c2(sP0_iProver_def,combK,X0)
    | ap_contractE_c3(sP0_iProver_def,combK,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1682,c_1642]) ).

cnf(c_1688,plain,
    ( ~ member(pair(sP0_iProver_def,X0),contract)
    | ap_contractE_c1(combS,combK,X0)
    | ap_contractE_c2(combS,combK,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1681,c_1642,c_1635]) ).

cnf(c_1719,plain,
    ( ~ ap_contractE_c3(sP0_iProver_def,X0,X1)
    | ap_contractE_c1(combS,combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1))
    | ap_contractE_c2(combS,combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1)) ),
    inference(superposition,[status(thm)],[c_72,c_1688]) ).

cnf(c_1739,plain,
    ( ~ member(sP2_iProver_def,contract)
    | ap_contractE_c1(sP0_iProver_def,combK,r)
    | ap_contractE_c2(sP0_iProver_def,combK,r)
    | ap_contractE_c3(sP0_iProver_def,combK,r) ),
    inference(superposition,[status(thm)],[c_1169,c_1683]) ).

cnf(c_1740,plain,
    ( ap_contractE_c1(sP0_iProver_def,combK,r)
    | ap_contractE_c2(sP0_iProver_def,combK,r)
    | ap_contractE_c3(sP0_iProver_def,combK,r) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1739,c_1170]) ).

cnf(c_2248,plain,
    ( ~ ap_contractE_c3(sP0_iProver_def,X0,X1)
    | comb_app(combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1)) = combS
    | ap_contractE_c2(combS,combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1)) ),
    inference(superposition,[status(thm)],[c_1719,c_66]) ).

cnf(c_2254,plain,
    ( ~ ap_contractE_c3(sP0_iProver_def,X0,X1)
    | ap_contractE_c2(combS,combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2248,c_51]) ).

cnf(c_2265,plain,
    ( ~ ap_contractE_c3(sP0_iProver_def,X0,X1)
    | comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(sP0_iProver_def,X0,X1))) = combS ),
    inference(superposition,[status(thm)],[c_2254,c_71]) ).

cnf(c_2267,plain,
    ~ ap_contractE_c3(sP0_iProver_def,X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[c_2265,c_51]) ).

cnf(c_2268,plain,
    ( ap_contractE_c1(sP0_iProver_def,combK,r)
    | ap_contractE_c2(sP0_iProver_def,combK,r) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1740,c_2267]) ).

cnf(c_2281,plain,
    ( comb_app(combK,r) = sP0_iProver_def
    | ap_contractE_c2(sP0_iProver_def,combK,r) ),
    inference(superposition,[status(thm)],[c_2268,c_66]) ).

cnf(c_2304,plain,
    ( comb_app(comb_app(combS,ap_contractE_sk1p(sP0_iProver_def,combK,r)),ap_contractE_sk1q(sP0_iProver_def,combK,r)) = sP0_iProver_def
    | comb_app(combK,r) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_2281,c_71]) ).

cnf(c_2330,plain,
    ( comb_app(combS,ap_contractE_sk1p(sP0_iProver_def,combK,r)) = combS
    | comb_app(combK,r) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_2304,c_1558]) ).

cnf(c_2345,plain,
    comb_app(combK,r) = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_2330,c_51]) ).

cnf(c_2352,plain,
    combK = combS,
    inference(superposition,[status(thm)],[c_2345,c_1558]) ).

cnf(c_2365,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2352,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : COL090-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11  % 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
% 0.15/0.31  % CPULimit : 300
% 0.15/0.31  % WCLimit  : 300
% 0.15/0.31  % DateTime : Thu May  2 21:23:41 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 0.42/1.12  % SZS status Started for theBenchmark.p
% 0.42/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12  
% 0.42/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.12  
% 0.42/1.12  ------  iProver source info
% 0.42/1.12  
% 0.42/1.12  git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.12  git: non_committed_changes: false
% 0.42/1.12  
% 0.42/1.12  ------ Parsing...successful
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... 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 
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.42/1.12  ------ Proving...
% 0.42/1.12  ------ Problem Properties 
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  clauses                                 34
% 0.42/1.12  conjectures                             1
% 0.42/1.12  EPR                                     9
% 0.42/1.12  Horn                                    33
% 0.42/1.12  unary                                   11
% 0.42/1.12  binary                                  19
% 0.42/1.12  lits                                    64
% 0.42/1.12  lits eq                                 15
% 0.42/1.12  fd_pure                                 0
% 0.42/1.12  fd_pseudo                               0
% 0.42/1.12  fd_cond                                 0
% 0.42/1.12  fd_pseudo_cond                          3
% 0.42/1.12  AC symbols                              0
% 0.42/1.12  
% 0.42/1.12  ------ Schedule dynamic 5 is on 
% 0.42/1.12  
% 0.42/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ 
% 0.42/1.12  Current options:
% 0.42/1.12  ------ 
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ Proving...
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12  
% 0.42/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.12  
% 0.42/1.12  
%------------------------------------------------------------------------------