TSTP Solution File: RNG007-4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:57:13 EDT 2024

% Result   : Unsatisfiable 2.38s 1.11s
% Output   : CNFRefutation 2.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).

cnf(c_50,negated_conjecture,
    add(a,a) != additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse) ).

cnf(c_52,plain,
    add(additive_inverse(X0),X0) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',left_additive_inverse) ).

cnf(c_56,plain,
    additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',additive_inverse_additive_inverse) ).

cnf(c_60,plain,
    multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse1) ).

cnf(c_61,plain,
    multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse2) ).

cnf(c_62,plain,
    add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',associative_addition) ).

cnf(c_63,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',commutative_addition) ).

cnf(c_77,plain,
    add(X0,additive_inverse(X0)) = additive_identity,
    inference(theory_normalisation,[status(thm)],[c_52,c_62,c_63]) ).

cnf(c_111,plain,
    multiply(additive_inverse(X0),X1) = multiply(X0,additive_inverse(X1)),
    inference(light_normalisation,[status(thm)],[c_60,c_61]) ).

cnf(c_119,plain,
    add(a,a) = sP0_iProver_def,
    definition ).

cnf(c_120,negated_conjecture,
    sP0_iProver_def != additive_identity,
    inference(demodulation,[status(thm)],[c_50,c_119]) ).

cnf(c_214,plain,
    multiply(X0,additive_inverse(additive_inverse(X0))) = additive_inverse(X0),
    inference(superposition,[status(thm)],[c_111,c_49]) ).

cnf(c_219,plain,
    additive_inverse(X0) = X0,
    inference(light_normalisation,[status(thm)],[c_214,c_49,c_56]) ).

cnf(c_224,plain,
    add(X0,X0) = additive_identity,
    inference(demodulation,[status(thm)],[c_77,c_219]) ).

cnf(c_227,plain,
    additive_identity = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_119,c_224]) ).

cnf(c_231,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_120,c_227]) ).

cnf(c_232,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_231]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n029.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 21:38:07 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
% 2.38/1.11  % SZS status Started for theBenchmark.p
% 2.38/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.11  
% 2.38/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.38/1.11  
% 2.38/1.11  ------  iProver source info
% 2.38/1.11  
% 2.38/1.11  git: date: 2024-05-02 19:28:25 +0000
% 2.38/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.38/1.11  git: non_committed_changes: false
% 2.38/1.11  
% 2.38/1.11  ------ Parsing...successful
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.38/1.11  
% 2.38/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.38/1.11  
% 2.38/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.38/1.11  ------ Proving...
% 2.38/1.11  ------ Problem Properties 
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  clauses                                 17
% 2.38/1.11  conjectures                             1
% 2.38/1.11  EPR                                     1
% 2.38/1.11  Horn                                    17
% 2.38/1.11  unary                                   17
% 2.38/1.11  binary                                  0
% 2.38/1.11  lits                                    17
% 2.38/1.11  lits eq                                 17
% 2.38/1.11  fd_pure                                 0
% 2.38/1.11  fd_pseudo                               0
% 2.38/1.11  fd_cond                                 0
% 2.38/1.11  fd_pseudo_cond                          0
% 2.38/1.11  AC symbols                              1
% 2.38/1.11  
% 2.38/1.11  ------ Input Options Time Limit: Unbounded
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  ------ 
% 2.38/1.11  Current options:
% 2.38/1.11  ------ 
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  ------ Proving...
% 2.38/1.11  
% 2.38/1.11  
% 2.38/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.11  
% 2.38/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.38/1.11  
% 2.38/1.11  
%------------------------------------------------------------------------------