TSTP Solution File: COL003-13 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COL003-13 : TPTP v8.1.2. Released v2.1.0.
% 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 02:09:28 EDT 2024

% Result   : Unsatisfiable 42.65s 6.12s
% Output   : CNFRefutation 42.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

cnf(c_50,plain,
    apply(apply(X0,X1),X1) = apply(apply(w,X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).

cnf(c_51,plain,
    apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)) = strong_fixed_point,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).

cnf(c_52,negated_conjecture,
    apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) != apply(strong_fixed_point,fixed_pt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).

cnf(c_66,plain,
    apply(strong_fixed_point,fixed_pt) = sP0_iProver_def,
    definition ).

cnf(c_67,plain,
    apply(fixed_pt,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_68,negated_conjecture,
    sP1_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_52,c_66,c_67]) ).

cnf(c_109,plain,
    apply(apply(X0,X0),X0) = apply(apply(w,w),X0),
    inference(superposition,[status(thm)],[c_50,c_50]) ).

cnf(c_127,plain,
    apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)),
    inference(superposition,[status(thm)],[c_49,c_50]) ).

cnf(c_204,plain,
    apply(apply(w,w),apply(apply(apply(b,apply(apply(b,w),b)),b),X0)) = apply(strong_fixed_point,X0),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_338,plain,
    apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1),
    inference(superposition,[status(thm)],[c_127,c_50]) ).

cnf(c_1292,plain,
    apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) = apply(X0,apply(apply(X1,X1),X1)),
    inference(superposition,[status(thm)],[c_338,c_49]) ).

cnf(c_3074,plain,
    apply(apply(w,w),apply(w,apply(b,apply(b,X0)))) = apply(strong_fixed_point,X0),
    inference(demodulation,[status(thm)],[c_204,c_49]) ).

cnf(c_26528,plain,
    apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) = apply(X0,apply(apply(w,w),X1)),
    inference(superposition,[status(thm)],[c_109,c_1292]) ).

cnf(c_74488,plain,
    apply(X0,apply(apply(w,w),apply(w,apply(b,apply(b,X0))))) = apply(apply(w,w),apply(w,apply(b,apply(b,X0)))),
    inference(superposition,[status(thm)],[c_26528,c_50]) ).

cnf(c_74567,plain,
    apply(X0,apply(strong_fixed_point,X0)) = apply(strong_fixed_point,X0),
    inference(light_normalisation,[status(thm)],[c_74488,c_3074]) ).

cnf(c_75059,plain,
    apply(fixed_pt,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_66,c_74567]) ).

cnf(c_75178,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_67,c_75059]) ).

cnf(c_75183,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_68,c_75178]) ).

cnf(c_75184,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_75183]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : COL003-13 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n014.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 21:20:47 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.43  Running UEQ theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 42.65/6.12  % SZS status Started for theBenchmark.p
% 42.65/6.12  % SZS status Unsatisfiable for theBenchmark.p
% 42.65/6.12  
% 42.65/6.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 42.65/6.12  
% 42.65/6.12  ------  iProver source info
% 42.65/6.12  
% 42.65/6.12  git: date: 2024-05-02 19:28:25 +0000
% 42.65/6.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 42.65/6.12  git: non_committed_changes: false
% 42.65/6.12  
% 42.65/6.12  ------ Parsing...successful
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 42.65/6.12  
% 42.65/6.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 42.65/6.12  
% 42.65/6.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 42.65/6.12  ------ Proving...
% 42.65/6.12  ------ Problem Properties 
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  clauses                                 6
% 42.65/6.12  conjectures                             1
% 42.65/6.12  EPR                                     1
% 42.65/6.12  Horn                                    6
% 42.65/6.12  unary                                   6
% 42.65/6.12  binary                                  0
% 42.65/6.12  lits                                    6
% 42.65/6.12  lits eq                                 6
% 42.65/6.12  fd_pure                                 0
% 42.65/6.12  fd_pseudo                               0
% 42.65/6.12  fd_cond                                 0
% 42.65/6.12  fd_pseudo_cond                          0
% 42.65/6.12  AC symbols                              0
% 42.65/6.12  
% 42.65/6.12  ------ Input Options Time Limit: Unbounded
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  ------ 
% 42.65/6.12  Current options:
% 42.65/6.12  ------ 
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  ------ Proving...
% 42.65/6.12  
% 42.65/6.12  
% 42.65/6.12  % SZS status Unsatisfiable for theBenchmark.p
% 42.65/6.12  
% 42.65/6.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.65/6.12  
% 42.65/6.12  
%------------------------------------------------------------------------------