TSTP Solution File: LCL115-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL115-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:36:54 EDT 2024

% Result   : Unsatisfiable 3.77s 1.13s
% Output   : CNFRefutation 3.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   40 (  40 unt;   0 nHn;   4 RR)
%            Number of literals    :   40 (  39 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   56 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    implies(not(implies(a,b)),not(b)) != truth,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_39) ).

cnf(c_50,plain,
    implies(truth,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).

cnf(c_51,plain,
    implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).

cnf(c_52,plain,
    implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).

cnf(c_53,plain,
    implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).

cnf(c_107,plain,
    implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[status(thm)],[c_50,c_52]) ).

cnf(c_110,plain,
    implies(implies(not(X0),not(truth)),X0) = truth,
    inference(superposition,[status(thm)],[c_50,c_53]) ).

cnf(c_130,plain,
    implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
    inference(superposition,[status(thm)],[c_50,c_51]) ).

cnf(c_142,plain,
    implies(X0,implies(implies(X0,X1),X1)) = truth,
    inference(light_normalisation,[status(thm)],[c_130,c_50]) ).

cnf(c_233,plain,
    implies(implies(truth,X0),X0) = truth,
    inference(superposition,[status(thm)],[c_142,c_50]) ).

cnf(c_242,plain,
    implies(X0,X0) = truth,
    inference(light_normalisation,[status(thm)],[c_233,c_50]) ).

cnf(c_244,plain,
    implies(implies(X0,truth),truth) = truth,
    inference(demodulation,[status(thm)],[c_107,c_242]) ).

cnf(c_281,plain,
    implies(X0,truth) = truth,
    inference(superposition,[status(thm)],[c_244,c_142]) ).

cnf(c_317,plain,
    implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
    inference(superposition,[status(thm)],[c_281,c_51]) ).

cnf(c_334,plain,
    implies(truth,implies(X0,implies(X1,X0))) = truth,
    inference(light_normalisation,[status(thm)],[c_317,c_50]) ).

cnf(c_370,plain,
    implies(X0,implies(X1,X0)) = truth,
    inference(superposition,[status(thm)],[c_334,c_50]) ).

cnf(c_402,plain,
    implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
    inference(superposition,[status(thm)],[c_370,c_51]) ).

cnf(c_561,plain,
    implies(truth,implies(truth,implies(not(truth),X0))) = truth,
    inference(superposition,[status(thm)],[c_110,c_402]) ).

cnf(c_600,plain,
    implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
    inference(superposition,[status(thm)],[c_402,c_50]) ).

cnf(c_655,plain,
    implies(not(truth),X0) = truth,
    inference(superposition,[status(thm)],[c_50,c_561]) ).

cnf(c_693,plain,
    implies(implies(X0,not(truth)),not(truth)) = implies(truth,X0),
    inference(superposition,[status(thm)],[c_655,c_52]) ).

cnf(c_696,plain,
    implies(implies(X0,not(truth)),not(truth)) = X0,
    inference(light_normalisation,[status(thm)],[c_693,c_50]) ).

cnf(c_745,plain,
    implies(truth,implies(not(X0),implies(X0,X1))) = truth,
    inference(superposition,[status(thm)],[c_53,c_600]) ).

cnf(c_839,plain,
    implies(not(X0),implies(X0,X1)) = truth,
    inference(superposition,[status(thm)],[c_745,c_50]) ).

cnf(c_885,plain,
    implies(not(implies(X0,not(truth))),X0) = truth,
    inference(superposition,[status(thm)],[c_696,c_839]) ).

cnf(c_950,plain,
    implies(truth,implies(X0,implies(not(X0),not(truth)))) = truth,
    inference(superposition,[status(thm)],[c_885,c_53]) ).

cnf(c_971,plain,
    implies(X0,implies(not(X0),not(truth))) = truth,
    inference(superposition,[status(thm)],[c_950,c_50]) ).

cnf(c_1013,plain,
    implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
    inference(superposition,[status(thm)],[c_971,c_52]) ).

cnf(c_1016,plain,
    implies(truth,implies(not(X0),not(truth))) = X0,
    inference(light_normalisation,[status(thm)],[c_1013,c_50,c_110]) ).

cnf(c_1029,plain,
    implies(not(X0),not(truth)) = X0,
    inference(superposition,[status(thm)],[c_1016,c_50]) ).

cnf(c_1073,plain,
    implies(X0,not(truth)) = not(X0),
    inference(superposition,[status(thm)],[c_1029,c_696]) ).

cnf(c_1078,plain,
    not(not(X0)) = X0,
    inference(demodulation,[status(thm)],[c_1029,c_1073]) ).

cnf(c_1094,plain,
    implies(implies(X0,not(X1)),implies(X1,not(X0))) = truth,
    inference(superposition,[status(thm)],[c_1078,c_53]) ).

cnf(c_1205,plain,
    implies(implies(implies(X0,not(X1)),implies(X1,not(X0))),implies(X1,not(X0))) = implies(truth,implies(X0,not(X1))),
    inference(superposition,[status(thm)],[c_1094,c_52]) ).

cnf(c_1210,plain,
    implies(truth,implies(X0,not(X1))) = implies(truth,implies(X1,not(X0))),
    inference(light_normalisation,[status(thm)],[c_1205,c_1094]) ).

cnf(c_2850,plain,
    implies(truth,implies(X0,not(X1))) = implies(X1,not(X0)),
    inference(superposition,[status(thm)],[c_1210,c_50]) ).

cnf(c_2943,plain,
    implies(X0,not(X1)) = implies(X1,not(X0)),
    inference(superposition,[status(thm)],[c_2850,c_50]) ).

cnf(c_2998,plain,
    implies(b,not(not(implies(a,b)))) != truth,
    inference(demodulation,[status(thm)],[c_49,c_2943]) ).

cnf(c_3253,plain,
    implies(b,implies(a,b)) != truth,
    inference(superposition,[status(thm)],[c_1078,c_2998]) ).

cnf(c_3254,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3253,c_370]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL115-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  2 18:57:33 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  Running UEQ theorem proving
% 0.19/0.44  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
% 3.77/1.13  % SZS status Started for theBenchmark.p
% 3.77/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.13  
% 3.77/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.77/1.13  
% 3.77/1.13  ------  iProver source info
% 3.77/1.13  
% 3.77/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.77/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.77/1.13  git: non_committed_changes: false
% 3.77/1.13  
% 3.77/1.13  ------ Parsing...successful
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.77/1.13  
% 3.77/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.77/1.13  
% 3.77/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.77/1.13  ------ Proving...
% 3.77/1.13  ------ Problem Properties 
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  clauses                                 5
% 3.77/1.13  conjectures                             1
% 3.77/1.13  EPR                                     0
% 3.77/1.13  Horn                                    5
% 3.77/1.13  unary                                   5
% 3.77/1.13  binary                                  0
% 3.77/1.13  lits                                    5
% 3.77/1.13  lits eq                                 5
% 3.77/1.13  fd_pure                                 0
% 3.77/1.13  fd_pseudo                               0
% 3.77/1.13  fd_cond                                 0
% 3.77/1.13  fd_pseudo_cond                          0
% 3.77/1.13  AC symbols                              0
% 3.77/1.13  
% 3.77/1.13  ------ Input Options Time Limit: Unbounded
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  ------ 
% 3.77/1.13  Current options:
% 3.77/1.13  ------ 
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  ------ Proving...
% 3.77/1.13  
% 3.77/1.13  
% 3.77/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.13  
% 3.77/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.13  
% 3.77/1.13  
%------------------------------------------------------------------------------