TSTP Solution File: FLD030-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD030-3 : TPTP v8.2.0. 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 : Mon Jun 24 05:57:33 EDT 2024

% Result   : Unsatisfiable 2.95s 1.15s
% Output   : CNFRefutation 2.95s
% 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_52,negated_conjecture,
    product(multiplicative_identity,a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).

cnf(c_53,negated_conjecture,
    ~ product(d,b,multiply(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).

cnf(c_60,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X4)
    | ~ product(X3,X5,X1)
    | product(X4,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).

cnf(c_61,plain,
    ( ~ defined(X0)
    | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

cnf(c_69,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | defined(multiply(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).

cnf(c_73,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | product(X0,X1,multiply(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).

cnf(c_254,plain,
    multiply(a,b) = sP0_iProver_def,
    definition ).

cnf(c_255,negated_conjecture,
    ~ product(d,b,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_53,c_254]) ).

cnf(c_256,negated_conjecture,
    product(multiplicative_identity,a,d),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_756,plain,
    ( ~ defined(a)
    | ~ defined(b)
    | defined(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_254,c_69]) ).

cnf(c_757,plain,
    defined(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_756,c_50,c_49]) ).

cnf(c_787,plain,
    ( ~ defined(a)
    | ~ defined(b)
    | product(a,b,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_254,c_73]) ).

cnf(c_789,plain,
    product(a,b,sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_787,c_50,c_49]) ).

cnf(c_1535,plain,
    ( ~ product(a,X0,X1)
    | ~ product(multiplicative_identity,X1,X2)
    | product(d,X0,X2) ),
    inference(superposition,[status(thm)],[c_256,c_60]) ).

cnf(c_2021,plain,
    ( ~ product(multiplicative_identity,sP0_iProver_def,X0)
    | product(d,b,X0) ),
    inference(superposition,[status(thm)],[c_789,c_1535]) ).

cnf(c_2072,plain,
    ( ~ defined(sP0_iProver_def)
    | product(d,b,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_61,c_2021]) ).

cnf(c_2077,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2072,c_255,c_757]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD030-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jun 19 11:46:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 2.95/1.15  % SZS status Started for theBenchmark.p
% 2.95/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.15  
% 2.95/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.95/1.15  
% 2.95/1.15  ------  iProver source info
% 2.95/1.15  
% 2.95/1.15  git: date: 2024-06-12 09:56:46 +0000
% 2.95/1.15  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.95/1.15  git: non_committed_changes: false
% 2.95/1.15  
% 2.95/1.15  ------ Parsing...successful
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.95/1.15  
% 2.95/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.95/1.15  
% 2.95/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.95/1.15  ------ Proving...
% 2.95/1.15  ------ Problem Properties 
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  clauses                                 32
% 2.95/1.15  conjectures                             2
% 2.95/1.15  EPR                                     23
% 2.95/1.15  Horn                                    29
% 2.95/1.15  unary                                   9
% 2.95/1.15  binary                                  6
% 2.95/1.15  lits                                    83
% 2.95/1.15  lits eq                                 1
% 2.95/1.15  fd_pure                                 0
% 2.95/1.15  fd_pseudo                               0
% 2.95/1.15  fd_cond                                 0
% 2.95/1.15  fd_pseudo_cond                          0
% 2.95/1.15  AC symbols                              0
% 2.95/1.15  
% 2.95/1.15  ------ Schedule dynamic 5 is on 
% 2.95/1.15  
% 2.95/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  ------ 
% 2.95/1.15  Current options:
% 2.95/1.15  ------ 
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  ------ Proving...
% 2.95/1.15  
% 2.95/1.15  
% 2.95/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.15  
% 2.95/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/1.15  
% 2.95/1.15  
%------------------------------------------------------------------------------