TSTP Solution File: NUM001-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:48:04 EDT 2024

% Result   : Unsatisfiable 3.41s 1.12s
% Output   : CNFRefutation 3.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ equalish(add(add(a,b),c),add(a,add(b,c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

cnf(c_51,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',transitivity) ).

cnf(c_52,plain,
    equalish(add(X0,X1),add(X1,X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',commutativity_of_addition) ).

cnf(c_53,plain,
    equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM002-0.ax',associativity_of_addition) ).

cnf(c_115,plain,
    add(a,b) = sP0_iProver_def,
    definition ).

cnf(c_116,plain,
    add(sP0_iProver_def,c) = sP1_iProver_def,
    definition ).

cnf(c_117,plain,
    add(b,c) = sP2_iProver_def,
    definition ).

cnf(c_118,plain,
    add(a,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_119,negated_conjecture,
    ~ equalish(sP1_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_117,c_118,c_115,c_116]) ).

cnf(c_294,plain,
    equalish(sP1_iProver_def,add(c,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_116,c_52]) ).

cnf(c_299,plain,
    equalish(add(sP2_iProver_def,a),sP3_iProver_def),
    inference(superposition,[status(thm)],[c_118,c_52]) ).

cnf(c_312,plain,
    ( ~ equalish(add(X0,X1),X2)
    | equalish(add(X1,X0),X2) ),
    inference(superposition,[status(thm)],[c_52,c_51]) ).

cnf(c_334,plain,
    equalish(add(b,add(c,X0)),add(sP2_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_117,c_53]) ).

cnf(c_337,plain,
    ( ~ equalish(add(add(X0,X1),X2),X3)
    | equalish(add(X0,add(X1,X2)),X3) ),
    inference(superposition,[status(thm)],[c_53,c_51]) ).

cnf(c_362,plain,
    ( ~ equalish(add(c,sP0_iProver_def),X0)
    | equalish(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_294,c_51]) ).

cnf(c_936,plain,
    equalish(add(add(c,X0),b),add(sP2_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_334,c_312]) ).

cnf(c_2359,plain,
    equalish(add(c,add(X0,b)),add(sP2_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_936,c_337]) ).

cnf(c_3085,plain,
    equalish(add(c,sP0_iProver_def),add(sP2_iProver_def,a)),
    inference(superposition,[status(thm)],[c_115,c_2359]) ).

cnf(c_3117,plain,
    equalish(sP1_iProver_def,add(sP2_iProver_def,a)),
    inference(superposition,[status(thm)],[c_3085,c_362]) ).

cnf(c_3143,plain,
    ( ~ equalish(add(sP2_iProver_def,a),X0)
    | equalish(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_3117,c_51]) ).

cnf(c_3604,plain,
    equalish(sP1_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_299,c_3143]) ).

cnf(c_3612,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3604,c_119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : NUM001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 19:25:42 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.41/1.12  % SZS status Started for theBenchmark.p
% 3.41/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.41/1.12  
% 3.41/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.41/1.12  
% 3.41/1.12  ------  iProver source info
% 3.41/1.12  
% 3.41/1.12  git: date: 2024-05-02 19:28:25 +0000
% 3.41/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.41/1.12  git: non_committed_changes: false
% 3.41/1.12  
% 3.41/1.12  ------ Parsing...successful
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.41/1.12  
% 3.41/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.41/1.12  
% 3.41/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.41/1.12  ------ Proving...
% 3.41/1.12  ------ Problem Properties 
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  clauses                                 17
% 3.41/1.12  conjectures                             1
% 3.41/1.12  EPR                                     3
% 3.41/1.12  Horn                                    17
% 3.41/1.12  unary                                   12
% 3.41/1.12  binary                                  0
% 3.41/1.12  lits                                    27
% 3.41/1.12  lits eq                                 4
% 3.41/1.12  fd_pure                                 0
% 3.41/1.12  fd_pseudo                               0
% 3.41/1.12  fd_cond                                 0
% 3.41/1.12  fd_pseudo_cond                          0
% 3.41/1.12  AC symbols                              0
% 3.41/1.12  
% 3.41/1.12  ------ Schedule dynamic 5 is on 
% 3.41/1.12  
% 3.41/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  ------ 
% 3.41/1.12  Current options:
% 3.41/1.12  ------ 
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  ------ Proving...
% 3.41/1.12  
% 3.41/1.12  
% 3.41/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.41/1.12  
% 3.41/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.41/1.12  
% 3.41/1.12  
%------------------------------------------------------------------------------