TSTP Solution File: FLD063-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD063-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 02:15:26 EDT 2024

% Result   : Unsatisfiable 36.54s 5.74s
% Output   : CNFRefutation 36.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

cnf(c_50,plain,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(c_51,negated_conjecture,
    less_or_equal(additive_inverse(b),additive_inverse(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).

cnf(c_52,negated_conjecture,
    ~ less_or_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).

cnf(c_53,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X1,X3,X4)
    | ~ sum(X2,X3,X5)
    | sum(X0,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).

cnf(c_55,plain,
    ( ~ defined(X0)
    | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(c_56,plain,
    ( ~ defined(X0)
    | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

cnf(c_57,plain,
    ( ~ sum(X0,X1,X2)
    | sum(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(c_67,plain,
    ( ~ defined(X0)
    | defined(additive_inverse(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).

cnf(c_71,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | sum(X0,X1,add(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).

cnf(c_76,plain,
    ( ~ sum(X0,X1,X2)
    | ~ sum(X3,X1,X4)
    | ~ less_or_equal(X0,X3)
    | less_or_equal(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).

cnf(c_251,plain,
    additive_inverse(b) = sP0_iProver_def,
    definition ).

cnf(c_252,plain,
    additive_inverse(a) = sP1_iProver_def,
    definition ).

cnf(c_253,negated_conjecture,
    ~ less_or_equal(a,b),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_254,negated_conjecture,
    less_or_equal(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_252,c_251]) ).

cnf(c_691,plain,
    ( ~ defined(a)
    | defined(sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_252,c_67]) ).

cnf(c_692,plain,
    defined(sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_691,c_49]) ).

cnf(c_706,plain,
    ( ~ defined(b)
    | sum(sP0_iProver_def,b,additive_identity) ),
    inference(superposition,[status(thm)],[c_251,c_56]) ).

cnf(c_707,plain,
    ( ~ defined(a)
    | sum(sP1_iProver_def,a,additive_identity) ),
    inference(superposition,[status(thm)],[c_252,c_56]) ).

cnf(c_708,plain,
    sum(sP1_iProver_def,a,additive_identity),
    inference(forward_subsumption_resolution,[status(thm)],[c_707,c_49]) ).

cnf(c_709,plain,
    sum(sP0_iProver_def,b,additive_identity),
    inference(forward_subsumption_resolution,[status(thm)],[c_706,c_50]) ).

cnf(c_716,plain,
    sum(b,sP0_iProver_def,additive_identity),
    inference(superposition,[status(thm)],[c_709,c_57]) ).

cnf(c_717,plain,
    sum(a,sP1_iProver_def,additive_identity),
    inference(superposition,[status(thm)],[c_708,c_57]) ).

cnf(c_1667,plain,
    ( ~ sum(X0,b,X1)
    | ~ less_or_equal(sP0_iProver_def,X0)
    | less_or_equal(additive_identity,X1) ),
    inference(superposition,[status(thm)],[c_709,c_76]) ).

cnf(c_1752,plain,
    ( ~ sum(additive_identity,X0,X1)
    | ~ sum(sP0_iProver_def,X0,X2)
    | sum(b,X2,X1) ),
    inference(superposition,[status(thm)],[c_716,c_53]) ).

cnf(c_1753,plain,
    ( ~ sum(additive_identity,X0,X1)
    | ~ sum(sP1_iProver_def,X0,X2)
    | sum(a,X2,X1) ),
    inference(superposition,[status(thm)],[c_717,c_53]) ).

cnf(c_3721,plain,
    ( ~ less_or_equal(sP0_iProver_def,X0)
    | ~ defined(X0)
    | ~ defined(b)
    | less_or_equal(additive_identity,add(X0,b)) ),
    inference(superposition,[status(thm)],[c_71,c_1667]) ).

cnf(c_3744,plain,
    ( ~ less_or_equal(sP0_iProver_def,X0)
    | ~ defined(X0)
    | less_or_equal(additive_identity,add(X0,b)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3721,c_50]) ).

cnf(c_169422,plain,
    ( ~ sum(sP0_iProver_def,X0,X1)
    | ~ defined(X0)
    | sum(b,X1,X0) ),
    inference(superposition,[status(thm)],[c_55,c_1752]) ).

cnf(c_169636,plain,
    ( ~ defined(b)
    | sum(b,additive_identity,b) ),
    inference(superposition,[status(thm)],[c_709,c_169422]) ).

cnf(c_169652,plain,
    sum(b,additive_identity,b),
    inference(forward_subsumption_resolution,[status(thm)],[c_169636,c_50]) ).

cnf(c_169759,plain,
    sum(additive_identity,b,b),
    inference(superposition,[status(thm)],[c_169652,c_57]) ).

cnf(c_188649,plain,
    ( ~ sum(sP1_iProver_def,X0,X1)
    | ~ defined(X0)
    | sum(a,X1,X0) ),
    inference(superposition,[status(thm)],[c_55,c_1753]) ).

cnf(c_188658,plain,
    ( ~ sum(sP1_iProver_def,b,X0)
    | sum(a,X0,b) ),
    inference(superposition,[status(thm)],[c_169759,c_1753]) ).

cnf(c_190370,plain,
    ( ~ defined(a)
    | sum(a,additive_identity,a) ),
    inference(superposition,[status(thm)],[c_708,c_188649]) ).

cnf(c_190388,plain,
    sum(a,additive_identity,a),
    inference(forward_subsumption_resolution,[status(thm)],[c_190370,c_49]) ).

cnf(c_190698,plain,
    sum(additive_identity,a,a),
    inference(superposition,[status(thm)],[c_190388,c_57]) ).

cnf(c_190726,plain,
    ( ~ sum(X0,a,X1)
    | ~ less_or_equal(additive_identity,X0)
    | less_or_equal(a,X1) ),
    inference(superposition,[status(thm)],[c_190698,c_76]) ).

cnf(c_216396,plain,
    ( ~ defined(b)
    | ~ defined(sP1_iProver_def)
    | sum(a,add(sP1_iProver_def,b),b) ),
    inference(superposition,[status(thm)],[c_71,c_188658]) ).

cnf(c_216399,plain,
    sum(a,add(sP1_iProver_def,b),b),
    inference(forward_subsumption_resolution,[status(thm)],[c_216396,c_692,c_50]) ).

cnf(c_217363,plain,
    sum(add(sP1_iProver_def,b),a,b),
    inference(superposition,[status(thm)],[c_216399,c_57]) ).

cnf(c_217481,plain,
    ( ~ less_or_equal(additive_identity,add(sP1_iProver_def,b))
    | less_or_equal(a,b) ),
    inference(superposition,[status(thm)],[c_217363,c_190726]) ).

cnf(c_217485,plain,
    ~ less_or_equal(additive_identity,add(sP1_iProver_def,b)),
    inference(forward_subsumption_resolution,[status(thm)],[c_217481,c_253]) ).

cnf(c_217910,plain,
    ( ~ less_or_equal(sP0_iProver_def,sP1_iProver_def)
    | ~ defined(sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_3744,c_217485]) ).

cnf(c_217912,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_217910,c_692,c_254]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD063-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 22:25:33 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 36.54/5.74  % SZS status Started for theBenchmark.p
% 36.54/5.74  % SZS status Unsatisfiable for theBenchmark.p
% 36.54/5.74  
% 36.54/5.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 36.54/5.74  
% 36.54/5.74  ------  iProver source info
% 36.54/5.74  
% 36.54/5.74  git: date: 2024-05-02 19:28:25 +0000
% 36.54/5.74  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 36.54/5.74  git: non_committed_changes: false
% 36.54/5.74  
% 36.54/5.74  ------ Parsing...successful
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 36.54/5.74  
% 36.54/5.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 36.54/5.74  
% 36.54/5.74  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 36.54/5.74  ------ Proving...
% 36.54/5.74  ------ Problem Properties 
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  clauses                                 32
% 36.54/5.74  conjectures                             2
% 36.54/5.74  EPR                                     22
% 36.54/5.74  Horn                                    29
% 36.54/5.74  unary                                   9
% 36.54/5.74  binary                                  6
% 36.54/5.74  lits                                    83
% 36.54/5.74  lits eq                                 2
% 36.54/5.74  fd_pure                                 0
% 36.54/5.74  fd_pseudo                               0
% 36.54/5.74  fd_cond                                 0
% 36.54/5.74  fd_pseudo_cond                          0
% 36.54/5.74  AC symbols                              0
% 36.54/5.74  
% 36.54/5.74  ------ Schedule dynamic 5 is on 
% 36.54/5.74  
% 36.54/5.74  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  ------ 
% 36.54/5.74  Current options:
% 36.54/5.74  ------ 
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  ------ Proving...
% 36.54/5.74  
% 36.54/5.74  
% 36.54/5.74  % SZS status Unsatisfiable for theBenchmark.p
% 36.54/5.74  
% 36.54/5.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.54/5.74  
% 36.54/5.74  
%------------------------------------------------------------------------------