TSTP Solution File: LDA001-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LDA001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:43:02 EDT 2024

% Result   : Unsatisfiable 3.39s 1.11s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    f(f(X0,X1),f(X0,X2)) = f(X0,f(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

cnf(c_50,plain,
    f(n1,n1) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,plain,
    f(n2,n1) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,plain,
    f(n2,n2) = u,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,negated_conjecture,
    f(f(n3,n2),u) != f(f(u,u),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

cnf(c_68,plain,
    f(n3,n2) = sP0_iProver_def,
    definition ).

cnf(c_69,plain,
    f(sP0_iProver_def,u) = sP1_iProver_def,
    definition ).

cnf(c_70,plain,
    f(u,u) = sP2_iProver_def,
    definition ).

cnf(c_71,plain,
    f(sP2_iProver_def,u) = sP3_iProver_def,
    definition ).

cnf(c_72,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_53,c_70,c_71,c_68,c_69]) ).

cnf(c_111,plain,
    f(n2,f(n1,X0)) = f(n1,f(n1,X0)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_112,plain,
    f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_113,plain,
    f(n2,f(n2,X0)) = f(u,f(n2,X0)),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_114,plain,
    f(n3,f(n2,X0)) = f(sP0_iProver_def,f(n3,X0)),
    inference(superposition,[status(thm)],[c_68,c_49]) ).

cnf(c_119,plain,
    f(f(n1,X0),n2) = f(n1,f(X0,n1)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_148,plain,
    f(n2,n2) = f(n1,n2),
    inference(superposition,[status(thm)],[c_50,c_111]) ).

cnf(c_153,plain,
    f(n1,n2) = u,
    inference(light_normalisation,[status(thm)],[c_148,c_52]) ).

cnf(c_176,plain,
    f(n2,f(n1,X0)) = f(sP0_iProver_def,f(n3,X0)),
    inference(demodulation,[status(thm)],[c_112,c_114]) ).

cnf(c_179,plain,
    f(sP0_iProver_def,f(n3,n1)) = f(n2,n2),
    inference(superposition,[status(thm)],[c_50,c_176]) ).

cnf(c_180,plain,
    f(sP0_iProver_def,f(n3,n2)) = f(n2,u),
    inference(superposition,[status(thm)],[c_153,c_176]) ).

cnf(c_183,plain,
    f(n2,u) = f(sP0_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_180,c_68]) ).

cnf(c_184,plain,
    f(sP0_iProver_def,f(n3,n1)) = u,
    inference(light_normalisation,[status(thm)],[c_179,c_52]) ).

cnf(c_225,plain,
    f(n2,u) = f(u,u),
    inference(superposition,[status(thm)],[c_52,c_113]) ).

cnf(c_230,plain,
    f(sP0_iProver_def,sP0_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_225,c_70,c_183]) ).

cnf(c_232,plain,
    f(n2,u) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_183,c_230]) ).

cnf(c_267,plain,
    f(n2,f(u,X0)) = f(sP2_iProver_def,f(n2,X0)),
    inference(superposition,[status(thm)],[c_232,c_49]) ).

cnf(c_311,plain,
    f(sP0_iProver_def,f(n3,n1)) = f(n3,n3),
    inference(superposition,[status(thm)],[c_51,c_114]) ).

cnf(c_319,plain,
    f(n3,n3) = u,
    inference(light_normalisation,[status(thm)],[c_311,c_184]) ).

cnf(c_416,plain,
    f(n1,f(n2,n1)) = f(u,n2),
    inference(superposition,[status(thm)],[c_153,c_119]) ).

cnf(c_421,plain,
    f(n1,n3) = f(u,n2),
    inference(light_normalisation,[status(thm)],[c_416,c_51]) ).

cnf(c_553,plain,
    f(n2,f(u,n2)) = f(sP0_iProver_def,f(n3,n3)),
    inference(superposition,[status(thm)],[c_421,c_176]) ).

cnf(c_554,plain,
    f(n2,f(u,n2)) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_553,c_69,c_319]) ).

cnf(c_564,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_554,c_52,c_71,c_267]) ).

cnf(c_565,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_564,c_72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LDA001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n026.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 21:37:06 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running UEQ theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.39/1.11  % SZS status Started for theBenchmark.p
% 3.39/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.11  
% 3.39/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.39/1.11  
% 3.39/1.11  ------  iProver source info
% 3.39/1.11  
% 3.39/1.11  git: date: 2024-05-02 19:28:25 +0000
% 3.39/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.39/1.11  git: non_committed_changes: false
% 3.39/1.11  
% 3.39/1.11  ------ Parsing...successful
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.39/1.11  
% 3.39/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.39/1.11  
% 3.39/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.39/1.11  ------ Proving...
% 3.39/1.11  ------ Problem Properties 
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  clauses                                 9
% 3.39/1.11  conjectures                             1
% 3.39/1.11  EPR                                     1
% 3.39/1.11  Horn                                    9
% 3.39/1.11  unary                                   9
% 3.39/1.11  binary                                  0
% 3.39/1.11  lits                                    9
% 3.39/1.11  lits eq                                 9
% 3.39/1.11  fd_pure                                 0
% 3.39/1.11  fd_pseudo                               0
% 3.39/1.11  fd_cond                                 0
% 3.39/1.11  fd_pseudo_cond                          0
% 3.39/1.11  AC symbols                              0
% 3.39/1.11  
% 3.39/1.11  ------ Input Options Time Limit: Unbounded
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  ------ 
% 3.39/1.11  Current options:
% 3.39/1.11  ------ 
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  ------ Proving...
% 3.39/1.11  
% 3.39/1.11  
% 3.39/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.11  
% 3.39/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.11  
% 3.39/1.11  
%------------------------------------------------------------------------------