TSTP Solution File: COL118-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL118-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 02:09:58 EDT 2024

% Result   : Unsatisfiable 0.45s 1.14s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(c_Pair(v_x,v_ya,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_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_1) ).

cnf(c_51,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),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(v_ya,v_w),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_2) ).

cnf(c_52,plain,
    c_in(c_Pair(X0,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_Comb_Oparcontract_Ointros__1_0) ).

cnf(c_53,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/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).

cnf(c_73,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_x,v_z) = sP0_iProver_def,
    definition ).

cnf(c_74,plain,
    tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sP1_iProver_def,
    definition ).

cnf(c_75,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w) = sP2_iProver_def,
    definition ).

cnf(c_76,plain,
    c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP3_iProver_def,
    definition ).

cnf(c_77,plain,
    c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP4_iProver_def,
    definition ).

cnf(c_78,negated_conjecture,
    ( ~ c_in(c_Pair(sP0_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | ~ c_in(c_Pair(sP2_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_51,c_75,c_74,c_73]) ).

cnf(c_79,negated_conjecture,
    c_in(sP3_iProver_def,c_Comb_Oparcontract,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_76]) ).

cnf(c_80,negated_conjecture,
    c_in(sP4_iProver_def,c_Comb_Oparcontract,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_77]) ).

cnf(c_230,plain,
    c_in(c_Pair(X0,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_52,c_74]) ).

cnf(c_232,plain,
    ( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | 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,sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_53,c_74]) ).

cnf(c_239,plain,
    ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | ~ c_in(c_Pair(v_z,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | c_in(c_Pair(sP0_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_73,c_232]) ).

cnf(c_266,plain,
    ( ~ c_in(c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def)
    | c_in(c_Pair(sP0_iProver_def,sP2_iProver_def,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_75,c_239]) ).

cnf(c_268,plain,
    ( ~ c_in(sP3_iProver_def,c_Comb_Oparcontract,sP1_iProver_def)
    | ~ c_in(sP4_iProver_def,c_Comb_Oparcontract,sP1_iProver_def)
    | c_in(c_Pair(sP0_iProver_def,sP2_iProver_def,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_266,c_76,c_77]) ).

cnf(c_269,plain,
    c_in(c_Pair(sP0_iProver_def,sP2_iProver_def,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_268,c_80,c_79]) ).

cnf(c_274,plain,
    ~ c_in(c_Pair(sP2_iProver_def,sP2_iProver_def,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_269,c_78]) ).

cnf(c_275,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_274,c_230]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : COL118-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 21:26:59 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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
% 0.45/1.14  % SZS status Started for theBenchmark.p
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.14  
% 0.45/1.14  ------  iProver source info
% 0.45/1.14  
% 0.45/1.14  git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.14  git: non_committed_changes: false
% 0.45/1.14  
% 0.45/1.14  ------ Parsing...successful
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.14  
% 0.45/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.45/1.14  ------ Proving...
% 0.45/1.14  ------ Problem Properties 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  clauses                                 10
% 0.45/1.14  conjectures                             3
% 0.45/1.14  EPR                                     2
% 0.45/1.14  Horn                                    10
% 0.45/1.14  unary                                   8
% 0.45/1.14  binary                                  1
% 0.45/1.14  lits                                    13
% 0.45/1.14  lits eq                                 5
% 0.45/1.14  fd_pure                                 0
% 0.45/1.14  fd_pseudo                               0
% 0.45/1.14  fd_cond                                 0
% 0.45/1.14  fd_pseudo_cond                          0
% 0.45/1.14  AC symbols                              0
% 0.45/1.14  
% 0.45/1.14  ------ Schedule dynamic 5 is on 
% 0.45/1.14  
% 0.45/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ 
% 0.45/1.14  Current options:
% 0.45/1.14  ------ 
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  ------ Proving...
% 0.45/1.14  
% 0.45/1.14  
% 0.45/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.14  
% 0.45/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.14  
% 0.45/1.14  
%------------------------------------------------------------------------------