TSTP Solution File: COL109-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL109-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 02:09:55 EDT 2024

% Result   : Unsatisfiable 0.44s 1.12s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/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_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_53,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/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__3_0) ).

cnf(c_54,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/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).

cnf(c_76,plain,
    c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H) = sP0_iProver_def,
    definition ).

cnf(c_77,plain,
    c_Comb_Ocomb_Oop_A_D_D(sP0_iProver_def,v_y_Ha) = sP1_iProver_def,
    definition ).

cnf(c_78,plain,
    c_Comb_Ocomb_Oop_A_D_D(sP1_iProver_def,v_w) = sP2_iProver_def,
    definition ).

cnf(c_79,plain,
    tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sP3_iProver_def,
    definition ).

cnf(c_80,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z) = sP4_iProver_def,
    definition ).

cnf(c_81,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z) = sP5_iProver_def,
    definition ).

cnf(c_82,plain,
    c_Comb_Ocomb_Oop_A_D_D(sP4_iProver_def,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_83,plain,
    c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP7_iProver_def,
    definition ).

cnf(c_84,plain,
    c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP8_iProver_def,
    definition ).

cnf(c_85,plain,
    c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP9_iProver_def,
    definition ).

cnf(c_86,negated_conjecture,
    ( ~ c_in(c_Pair(sP2_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(sP6_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(demodulation,[status(thm)],[c_52,c_81,c_80,c_82,c_79,c_76,c_77,c_78]) ).

cnf(c_87,negated_conjecture,
    c_in(sP7_iProver_def,c_Comb_Oparcontract,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_83]) ).

cnf(c_88,negated_conjecture,
    c_in(sP8_iProver_def,c_Comb_Oparcontract,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_84]) ).

cnf(c_89,negated_conjecture,
    c_in(sP9_iProver_def,c_Comb_Oparcontract,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_85]) ).

cnf(c_263,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,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_53,c_79]) ).

cnf(c_264,plain,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(sP0_iProver_def,X0),X1),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,X1),c_Comb_Ocomb_Oop_A_D_D(X0,X1)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_76,c_263]) ).

cnf(c_290,plain,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(sP1_iProver_def,X0),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,X0),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,X0)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_77,c_264]) ).

cnf(c_298,plain,
    c_in(c_Pair(sP2_iProver_def,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,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_78,c_290]) ).

cnf(c_301,plain,
    ~ c_in(c_Pair(sP6_iProver_def,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,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_298,c_86]) ).

cnf(c_313,plain,
    ( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_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,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_54,c_79]) ).

cnf(c_320,plain,
    ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(v_xb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | c_in(c_Pair(sP4_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X1,X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_80,c_313]) ).

cnf(c_321,plain,
    ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(v_yb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | c_in(c_Pair(sP5_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X1,X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_81,c_313]) ).

cnf(c_325,plain,
    ( ~ c_in(c_Pair(sP4_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(sP5_iProver_def,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | c_in(c_Pair(sP6_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_82,c_313]) ).

cnf(c_838,plain,
    ( ~ c_in(c_Pair(sP4_iProver_def,c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(sP5_iProver_def,c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_325,c_301]) ).

cnf(c_911,plain,
    ( ~ c_in(c_Pair(sP5_iProver_def,c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_320,c_838]) ).

cnf(c_912,plain,
    ( ~ c_in(c_Pair(sP5_iProver_def,c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(sP8_iProver_def,c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(sP9_iProver_def,c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_911,c_84,c_85]) ).

cnf(c_913,plain,
    ~ c_in(c_Pair(sP5_iProver_def,c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_912,c_89,c_88]) ).

cnf(c_914,plain,
    ( ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_321,c_913]) ).

cnf(c_915,plain,
    ( ~ c_in(sP7_iProver_def,c_Comb_Oparcontract,sP3_iProver_def)
    | ~ c_in(sP9_iProver_def,c_Comb_Oparcontract,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_914,c_83,c_85]) ).

cnf(c_916,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_915,c_89,c_87]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : COL109-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.12/0.31  % Computer : n014.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Thu May  2 21:17:02 EDT 2024
% 0.12/0.31  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  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
% 0.44/1.12  % SZS status Started for theBenchmark.p
% 0.44/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.12  
% 0.44/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.12  
% 0.44/1.12  ------  iProver source info
% 0.44/1.12  
% 0.44/1.12  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.12  git: non_committed_changes: false
% 0.44/1.12  
% 0.44/1.12  ------ Parsing...successful
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.44/1.12  
% 0.44/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.12  
% 0.44/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.12  ------ Proving...
% 0.44/1.12  ------ Problem Properties 
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  clauses                                 16
% 0.44/1.12  conjectures                             4
% 0.44/1.12  EPR                                     3
% 0.44/1.12  Horn                                    16
% 0.44/1.12  unary                                   14
% 0.44/1.12  binary                                  1
% 0.44/1.12  lits                                    19
% 0.44/1.12  lits eq                                 10
% 0.44/1.12  fd_pure                                 0
% 0.44/1.12  fd_pseudo                               0
% 0.44/1.12  fd_cond                                 0
% 0.44/1.12  fd_pseudo_cond                          0
% 0.44/1.12  AC symbols                              0
% 0.44/1.12  
% 0.44/1.12  ------ Schedule dynamic 5 is on 
% 0.44/1.12  
% 0.44/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  ------ 
% 0.44/1.12  Current options:
% 0.44/1.12  ------ 
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  ------ Proving...
% 0.44/1.12  
% 0.44/1.12  
% 0.44/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.12  
% 0.44/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.12  
% 0.44/1.12  
%------------------------------------------------------------------------------