TSTP Solution File: COL079-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL079-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:09:48 EDT 2024

% Result   : Unsatisfiable 141.49s 19.74s
% Output   : CNFRefutation 141.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    apply(k(X0),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).

cnf(c_50,plain,
    apply(apply(X0,k(X1)),apply(X2,X1)) = apply(apply(apply(abstraction,X0),X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).

cnf(c_51,plain,
    ( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).

cnf(c_52,negated_conjecture,
    apply(abstraction,apply(abstraction,apply(abstraction,b))) != apply(abstraction,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC2a) ).

cnf(c_71,plain,
    apply(abstraction,b) = sP0_iProver_def,
    definition ).

cnf(c_72,plain,
    apply(abstraction,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_73,plain,
    apply(abstraction,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_74,negated_conjecture,
    sP2_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_52,c_71,c_72,c_73]) ).

cnf(c_167417,plain,
    apply(apply(apply(abstraction,X0),k(X1)),X2) = apply(apply(X0,k(X2)),X1),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_167584,plain,
    apply(apply(b,k(X0)),X1) = apply(apply(sP0_iProver_def,k(X1)),X0),
    inference(superposition,[status(thm)],[c_71,c_167417]) ).

cnf(c_167585,plain,
    apply(apply(sP0_iProver_def,k(X0)),X1) = apply(apply(sP1_iProver_def,k(X1)),X0),
    inference(superposition,[status(thm)],[c_72,c_167417]) ).

cnf(c_167669,plain,
    apply(apply(b,k(X0)),X1) = apply(apply(sP1_iProver_def,k(X0)),X1),
    inference(superposition,[status(thm)],[c_167585,c_167584]) ).

cnf(c_167703,plain,
    apply(apply(sP1_iProver_def,k(X0)),apply(X1,X0)) = apply(apply(apply(abstraction,b),X1),X0),
    inference(superposition,[status(thm)],[c_167669,c_50]) ).

cnf(c_167709,plain,
    apply(apply(sP1_iProver_def,k(X0)),apply(X1,X0)) = apply(apply(sP0_iProver_def,X1),X0),
    inference(light_normalisation,[status(thm)],[c_167703,c_71]) ).

cnf(c_167732,plain,
    apply(apply(sP0_iProver_def,X0),X1) = apply(apply(sP2_iProver_def,X0),X1),
    inference(demodulation,[status(thm)],[c_167709,c_50,c_73]) ).

cnf(c_167742,plain,
    ( apply(apply(sP0_iProver_def,X0),n(apply(sP2_iProver_def,X0),X1)) != apply(X1,n(apply(sP2_iProver_def,X0),X1))
    | apply(sP2_iProver_def,X0) = X1 ),
    inference(superposition,[status(thm)],[c_167732,c_51]) ).

cnf(c_244209,plain,
    apply(sP0_iProver_def,X0) = apply(sP2_iProver_def,X0),
    inference(equality_resolution,[status(thm)],[c_167742]) ).

cnf(c_247124,plain,
    ( apply(X0,n(sP2_iProver_def,X0)) != apply(sP0_iProver_def,n(sP2_iProver_def,X0))
    | X0 = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_244209,c_51]) ).

cnf(c_282952,plain,
    sP0_iProver_def = sP2_iProver_def,
    inference(equality_resolution,[status(thm)],[c_247124]) ).

cnf(c_283088,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_74,c_282952]) ).

cnf(c_283089,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_283088]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : COL079-2 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:30:27 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 141.49/19.74  % SZS status Started for theBenchmark.p
% 141.49/19.74  % SZS status Unsatisfiable for theBenchmark.p
% 141.49/19.74  
% 141.49/19.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 141.49/19.74  
% 141.49/19.74  ------  iProver source info
% 141.49/19.74  
% 141.49/19.74  git: date: 2024-05-02 19:28:25 +0000
% 141.49/19.74  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 141.49/19.74  git: non_committed_changes: false
% 141.49/19.74  
% 141.49/19.74  ------ Parsing...successful
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 141.49/19.74  
% 141.49/19.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 141.49/19.74  
% 141.49/19.74  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 141.49/19.74  ------ Proving...
% 141.49/19.74  ------ Problem Properties 
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  clauses                                 7
% 141.49/19.74  conjectures                             1
% 141.49/19.74  EPR                                     1
% 141.49/19.74  Horn                                    7
% 141.49/19.74  unary                                   6
% 141.49/19.74  binary                                  1
% 141.49/19.74  lits                                    8
% 141.49/19.74  lits eq                                 8
% 141.49/19.74  fd_pure                                 0
% 141.49/19.74  fd_pseudo                               0
% 141.49/19.74  fd_cond                                 0
% 141.49/19.74  fd_pseudo_cond                          1
% 141.49/19.74  AC symbols                              0
% 141.49/19.74  
% 141.49/19.74  ------ Schedule dynamic 5 is on 
% 141.49/19.74  
% 141.49/19.74  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  ------ 
% 141.49/19.74  Current options:
% 141.49/19.74  ------ 
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  ------ Proving...
% 141.49/19.74  Proof_search_loop: time out after: 5651 full_loop iterations
% 141.49/19.74  
% 141.49/19.74  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  ------ 
% 141.49/19.74  Current options:
% 141.49/19.74  ------ 
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  ------ Proving...
% 141.49/19.74  
% 141.49/19.74  
% 141.49/19.74  % SZS status Unsatisfiable for theBenchmark.p
% 141.49/19.74  
% 141.49/19.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 141.49/19.74  
% 141.49/19.74  
%------------------------------------------------------------------------------