TSTP Solution File: BOO017-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : BOO017-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 02:08:38 EDT 2024

% Result   : Unsatisfiable 3.77s 1.11s
% Output   : CNFRefutation 3.77s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    add(x,y) = z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_y) ).

cnf(c_50,negated_conjecture,
    multiply(x,z) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum) ).

cnf(c_51,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).

cnf(c_52,plain,
    multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).

cnf(c_53,plain,
    multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).

cnf(c_54,plain,
    multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity2) ).

cnf(c_55,plain,
    add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity3) ).

cnf(c_56,plain,
    add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity4) ).

cnf(c_57,plain,
    add(X0,inverse(X0)) = multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).

cnf(c_59,plain,
    multiply(X0,inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).

cnf(c_61,plain,
    multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).

cnf(c_62,plain,
    multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).

cnf(c_63,plain,
    add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).

cnf(c_64,plain,
    add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id2) ).

cnf(c_148,plain,
    multiply(x,z) = sP0_iProver_def,
    definition ).

cnf(c_149,negated_conjecture,
    sP0_iProver_def != x,
    inference(demodulation,[status(thm)],[c_50,c_148]) ).

cnf(c_230,plain,
    multiply(add(X0,X1),add(X2,X0)) = add(multiply(X1,X2),X0),
    inference(superposition,[status(thm)],[c_51,c_53]) ).

cnf(c_232,plain,
    add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_57,c_53]) ).

cnf(c_234,plain,
    multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
    inference(superposition,[status(thm)],[c_64,c_53]) ).

cnf(c_277,plain,
    add(multiply(additive_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
    inference(superposition,[status(thm)],[c_234,c_62]) ).

cnf(c_324,plain,
    add(multiplicative_identity,multiply(additive_identity,X0)) = add(X0,multiplicative_identity),
    inference(demodulation,[status(thm)],[c_277,c_51]) ).

cnf(c_328,plain,
    add(multiplicative_identity,multiplicative_identity) = add(multiplicative_identity,additive_identity),
    inference(superposition,[status(thm)],[c_61,c_324]) ).

cnf(c_341,plain,
    add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
    inference(demodulation,[status(thm)],[c_328,c_63]) ).

cnf(c_391,plain,
    add(multiply(X0,multiplicative_identity),multiplicative_identity) = multiply(add(multiplicative_identity,X0),multiplicative_identity),
    inference(superposition,[status(thm)],[c_341,c_230]) ).

cnf(c_396,plain,
    multiply(add(multiplicative_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
    inference(light_normalisation,[status(thm)],[c_391,c_61]) ).

cnf(c_459,plain,
    multiply(X0,add(X0,X1)) = add(X0,multiply(additive_identity,X1)),
    inference(superposition,[status(thm)],[c_63,c_54]) ).

cnf(c_471,plain,
    multiply(add(X0,X1),X0) = add(X0,multiply(X1,additive_identity)),
    inference(superposition,[status(thm)],[c_63,c_54]) ).

cnf(c_579,plain,
    add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
    inference(superposition,[status(thm)],[c_62,c_55]) ).

cnf(c_690,plain,
    add(X0,multiply(multiplicative_identity,X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(superposition,[status(thm)],[c_62,c_56]) ).

cnf(c_1153,plain,
    add(inverse(X0),multiply(X0,X1)) = add(X1,inverse(X0)),
    inference(demodulation,[status(thm)],[c_232,c_51,c_62,c_690]) ).

cnf(c_1163,plain,
    add(inverse(X0),X0) = add(multiplicative_identity,inverse(X0)),
    inference(superposition,[status(thm)],[c_61,c_1153]) ).

cnf(c_1297,plain,
    add(multiplicative_identity,inverse(X0)) = multiplicative_identity,
    inference(demodulation,[status(thm)],[c_1163,c_51,c_57]) ).

cnf(c_1304,plain,
    add(multiplicative_identity,multiply(X0,inverse(X1))) = multiply(add(multiplicative_identity,X0),multiplicative_identity),
    inference(superposition,[status(thm)],[c_1297,c_54]) ).

cnf(c_1307,plain,
    add(multiplicative_identity,multiply(X0,inverse(X1))) = add(X0,multiplicative_identity),
    inference(light_normalisation,[status(thm)],[c_1304,c_396]) ).

cnf(c_1409,plain,
    add(X0,multiplicative_identity) = add(multiplicative_identity,additive_identity),
    inference(superposition,[status(thm)],[c_59,c_1307]) ).

cnf(c_1453,plain,
    add(X0,multiplicative_identity) = multiplicative_identity,
    inference(demodulation,[status(thm)],[c_1409,c_63]) ).

cnf(c_1470,plain,
    add(multiplicative_identity,X0) = multiplicative_identity,
    inference(superposition,[status(thm)],[c_1453,c_51]) ).

cnf(c_2830,plain,
    add(X0,multiply(X1,additive_identity)) = add(X0,multiply(additive_identity,X1)),
    inference(demodulation,[status(thm)],[c_471,c_52,c_459]) ).

cnf(c_3171,plain,
    add(X0,multiply(X1,X0)) = X0,
    inference(demodulation,[status(thm)],[c_579,c_62,c_1470]) ).

cnf(c_3211,plain,
    multiply(X0,additive_identity) = additive_identity,
    inference(superposition,[status(thm)],[c_3171,c_64]) ).

cnf(c_3228,plain,
    add(X0,multiply(additive_identity,X1)) = add(X0,additive_identity),
    inference(demodulation,[status(thm)],[c_2830,c_3211]) ).

cnf(c_3237,plain,
    add(X0,multiply(additive_identity,X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_3228,c_63]) ).

cnf(c_3238,plain,
    multiply(X0,add(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_459,c_3237]) ).

cnf(c_3567,plain,
    multiply(x,z) = x,
    inference(superposition,[status(thm)],[c_49,c_3238]) ).

cnf(c_3601,plain,
    x = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3567,c_148]) ).

cnf(c_3622,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_149,c_3601]) ).

cnf(c_3623,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_3622]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : BOO017-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n021.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 21:43:43 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
% 3.77/1.11  % SZS status Started for theBenchmark.p
% 3.77/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.11  
% 3.77/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.77/1.11  
% 3.77/1.11  ------  iProver source info
% 3.77/1.11  
% 3.77/1.11  git: date: 2024-05-02 19:28:25 +0000
% 3.77/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.77/1.11  git: non_committed_changes: false
% 3.77/1.11  
% 3.77/1.11  ------ Parsing...successful
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  ------ Preprocessing... sup_sim: 4  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.77/1.11  
% 3.77/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.77/1.11  
% 3.77/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.77/1.11  ------ Proving...
% 3.77/1.11  ------ Problem Properties 
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  clauses                                 15
% 3.77/1.11  conjectures                             1
% 3.77/1.11  EPR                                     1
% 3.77/1.11  Horn                                    15
% 3.77/1.11  unary                                   15
% 3.77/1.11  binary                                  0
% 3.77/1.11  lits                                    15
% 3.77/1.11  lits eq                                 15
% 3.77/1.11  fd_pure                                 0
% 3.77/1.11  fd_pseudo                               0
% 3.77/1.11  fd_cond                                 0
% 3.77/1.11  fd_pseudo_cond                          0
% 3.77/1.11  AC symbols                              0
% 3.77/1.11  
% 3.77/1.11  ------ Input Options Time Limit: Unbounded
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  ------ 
% 3.77/1.11  Current options:
% 3.77/1.11  ------ 
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  ------ Proving...
% 3.77/1.11  
% 3.77/1.11  
% 3.77/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.11  
% 3.77/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.12  
% 3.77/1.12  
%------------------------------------------------------------------------------