TSTP Solution File: COL110-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL110-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 1.98s 1.22s
% Output   : CNFRefutation 1.98s
% 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_yb,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_50,negated_conjecture,
    c_in(c_Pair(v_z,v_wa,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_51,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_52,negated_conjecture,
    ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | c_in(c_Pair(v_ya,v_xb(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_5) ).

cnf(c_53,negated_conjecture,
    ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | c_in(c_Pair(X0,v_xb(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_6) ).

cnf(c_54,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | c_in(c_Pair(v_w,v_xaa(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_7) ).

cnf(c_55,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | c_in(c_Pair(X0,v_xaa(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_8) ).

cnf(c_56,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(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),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_93,plain,
    tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sP0_iProver_def,
    definition ).

cnf(c_94,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa) = sP1_iProver_def,
    definition ).

cnf(c_95,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w) = sP2_iProver_def,
    definition ).

cnf(c_96,plain,
    c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP3_iProver_def,
    definition ).

cnf(c_97,plain,
    c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb) = sP4_iProver_def,
    definition ).

cnf(c_98,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(X0,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_55,c_93]) ).

cnf(c_99,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(v_w,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_100,negated_conjecture,
    ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(X0,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_101,negated_conjecture,
    ( ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_102,negated_conjecture,
    ( ~ c_in(c_Pair(sP1_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(sP2_iProver_def,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_51,c_95,c_94]) ).

cnf(c_103,negated_conjecture,
    c_in(sP3_iProver_def,c_Comb_Oparcontract,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_50,c_96]) ).

cnf(c_104,negated_conjecture,
    c_in(sP4_iProver_def,c_Comb_Oparcontract,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_97]) ).

cnf(c_316,plain,
    ( ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_56,c_93]) ).

cnf(c_323,plain,
    ( ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(sP1_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_94,c_316]) ).

cnf(c_324,plain,
    ( ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_w,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | c_in(c_Pair(sP2_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_95,c_316]) ).

cnf(c_351,plain,
    ( ~ c_in(c_Pair(sP2_iProver_def,c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_323,c_102]) ).

cnf(c_408,plain,
    ( ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_w,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_324,c_351]) ).

cnf(c_428,plain,
    ( ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_98,c_408]) ).

cnf(c_434,plain,
    ( ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(sP3_iProver_def,c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_428,c_96]) ).

cnf(c_435,plain,
    ( ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_434,c_103]) ).

cnf(c_447,plain,
    ( ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_99,c_435]) ).

cnf(c_448,plain,
    ( ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(sP3_iProver_def,c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_447,c_96]) ).

cnf(c_449,plain,
    ( ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_ya,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_448,c_103]) ).

cnf(c_460,plain,
    ( ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_100,c_449]) ).

cnf(c_461,plain,
    ( ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def)
    | ~ c_in(sP4_iProver_def,c_Comb_Oparcontract,sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_460,c_97]) ).

cnf(c_462,plain,
    ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_461,c_104]) ).

cnf(c_473,plain,
    ~ c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_101,c_462]) ).

cnf(c_474,plain,
    ~ c_in(sP4_iProver_def,c_Comb_Oparcontract,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_473,c_97]) ).

cnf(c_475,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_474,c_104]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL110-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:21:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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
% 1.98/1.22  % SZS status Started for theBenchmark.p
% 1.98/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.22  
% 1.98/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.98/1.22  
% 1.98/1.22  ------  iProver source info
% 1.98/1.22  
% 1.98/1.22  git: date: 2024-05-02 19:28:25 +0000
% 1.98/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.98/1.22  git: non_committed_changes: false
% 1.98/1.22  
% 1.98/1.22  ------ Parsing...successful
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.98/1.22  
% 1.98/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.98/1.22  
% 1.98/1.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.98/1.22  ------ Proving...
% 1.98/1.22  ------ Problem Properties 
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  clauses                                 13
% 1.98/1.22  conjectures                             7
% 1.98/1.22  EPR                                     2
% 1.98/1.22  Horn                                    13
% 1.98/1.22  unary                                   7
% 1.98/1.22  binary                                  5
% 1.98/1.22  lits                                    20
% 1.98/1.22  lits eq                                 5
% 1.98/1.22  fd_pure                                 0
% 1.98/1.22  fd_pseudo                               0
% 1.98/1.22  fd_cond                                 0
% 1.98/1.22  fd_pseudo_cond                          0
% 1.98/1.22  AC symbols                              0
% 1.98/1.22  
% 1.98/1.22  ------ Schedule dynamic 5 is on 
% 1.98/1.22  
% 1.98/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  ------ 
% 1.98/1.22  Current options:
% 1.98/1.22  ------ 
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  ------ Proving...
% 1.98/1.22  
% 1.98/1.22  
% 1.98/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.22  
% 1.98/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.22  
% 1.98/1.23  
%------------------------------------------------------------------------------