TSTP Solution File: FLD059-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD059-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 02:15:24 EDT 2024

% Result   : Unsatisfiable 0.47s 1.17s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

cnf(c_50,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).

cnf(c_51,negated_conjecture,
    ~ less_or_equal(additive_identity,add(a,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).

cnf(c_52,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X1,X3,X4)
    | ~ sum(X2,X3,X5)
    | sum(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).

cnf(c_53,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X0,X3,X4)
    | ~ sum(X3,X5,X1)
    | sum(X4,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).

cnf(c_54,plain,
    ( ~ defined(X0)
    | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c_55,plain,
    ( ~ defined(X0)
    | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

cnf(c_56,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_70,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | sum(X0,X1,add(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).

cnf(c_73,plain,
    ( ~ less_or_equal(X0,X1)
    | ~ less_or_equal(X1,X2)
    | less_or_equal(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).

cnf(c_75,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,X4)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_248,plain,
    add(a,a) = sP0_iProver_def,
    definition ).

cnf(c_249,negated_conjecture,
    ~ less_or_equal(additive_identity,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_248]) ).

cnf(c_250,negated_conjecture,
    less_or_equal(additive_identity,a),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_706,plain,
    ( ~ defined(X0)
    | sum(X0,additive_identity,X0) ),
    inference(superposition,[status(thm)],[c_54,c_56]) ).

cnf(c_707,plain,
    ( ~ defined(X0)
    | sum(X0,additive_inverse(X0),additive_identity) ),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_765,plain,
    ( ~ less_or_equal(a,X0)
    | less_or_equal(additive_identity,X0) ),
    inference(superposition,[status(thm)],[c_250,c_73]) ).

cnf(c_789,plain,
    ( ~ defined(a)
    | sum(a,a,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_248,c_70]) ).

cnf(c_791,plain,
    sum(a,a,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_789,c_49]) ).

cnf(c_1132,plain,
    ( ~ sum(a,X0,X1)
    | ~ sum(sP0_iProver_def,X0,X2)
    | sum(a,X1,X2) ),
    inference(superposition,[status(thm)],[c_791,c_52]) ).

cnf(c_1201,plain,
    ( ~ sum(a,X0,X1)
    | ~ sum(a,X2,X0)
    | sum(sP0_iProver_def,X2,X1) ),
    inference(superposition,[status(thm)],[c_791,c_53]) ).

cnf(c_2919,plain,
    ( ~ sum(sP0_iProver_def,additive_inverse(a),X0)
    | ~ defined(a)
    | sum(a,additive_identity,X0) ),
    inference(superposition,[status(thm)],[c_707,c_1132]) ).

cnf(c_2929,plain,
    ( ~ sum(sP0_iProver_def,additive_inverse(a),X0)
    | sum(a,additive_identity,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2919,c_49]) ).

cnf(c_3783,plain,
    ( ~ sum(a,X0,additive_identity)
    | ~ defined(a)
    | sum(sP0_iProver_def,X0,a) ),
    inference(superposition,[status(thm)],[c_706,c_1201]) ).

cnf(c_3794,plain,
    ( ~ sum(a,X0,additive_identity)
    | sum(sP0_iProver_def,X0,a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3783,c_49]) ).

cnf(c_5621,plain,
    ( ~ defined(a)
    | sum(sP0_iProver_def,additive_inverse(a),a) ),
    inference(superposition,[status(thm)],[c_707,c_3794]) ).

cnf(c_5625,plain,
    sum(sP0_iProver_def,additive_inverse(a),a),
    inference(forward_subsumption_resolution,[status(thm)],[c_5621,c_49]) ).

cnf(c_9511,plain,
    sum(a,additive_identity,a),
    inference(superposition,[status(thm)],[c_5625,c_2929]) ).

cnf(c_10647,plain,
    sum(additive_identity,a,a),
    inference(superposition,[status(thm)],[c_9511,c_56]) ).

cnf(c_10683,plain,
    ( ~ sum(X0,a,X1)
    | ~ less_or_equal(additive_identity,X0)
    | less_or_equal(a,X1) ),
    inference(superposition,[status(thm)],[c_10647,c_75]) ).

cnf(c_14397,plain,
    ( ~ less_or_equal(additive_identity,a)
    | less_or_equal(a,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_791,c_10683]) ).

cnf(c_14412,plain,
    less_or_equal(a,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_14397,c_250]) ).

cnf(c_14711,plain,
    less_or_equal(additive_identity,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_14412,c_765]) ).

cnf(c_14712,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_14711,c_249]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD059-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 22:33:42 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 0.47/1.17  % SZS status Started for theBenchmark.p
% 0.47/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17  
% 0.47/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.17  
% 0.47/1.17  ------  iProver source info
% 0.47/1.17  
% 0.47/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.17  git: non_committed_changes: false
% 0.47/1.17  
% 0.47/1.17  ------ Parsing...successful
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.47/1.17  ------ Proving...
% 0.47/1.17  ------ Problem Properties 
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  clauses                                 30
% 0.47/1.17  conjectures                             2
% 0.47/1.17  EPR                                     21
% 0.47/1.17  Horn                                    27
% 0.47/1.17  unary                                   7
% 0.47/1.17  binary                                  6
% 0.47/1.17  lits                                    81
% 0.47/1.17  lits eq                                 1
% 0.47/1.17  fd_pure                                 0
% 0.47/1.17  fd_pseudo                               0
% 0.47/1.17  fd_cond                                 0
% 0.47/1.17  fd_pseudo_cond                          0
% 0.47/1.17  AC symbols                              0
% 0.47/1.17  
% 0.47/1.17  ------ Schedule dynamic 5 is on 
% 0.47/1.17  
% 0.47/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ 
% 0.47/1.17  Current options:
% 0.47/1.17  ------ 
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ Proving...
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17  
% 0.47/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17  
% 0.47/1.17  
%------------------------------------------------------------------------------