TSTP Solution File: RNG023-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:57:17 EDT 2024

% Result   : Unsatisfiable 3.35s 1.12s
% Output   : CNFRefutation 3.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_56,negated_conjecture,
    associator(x,x,y) != additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_alternative) ).

cnf(c_62,plain,
    add(X0,additive_inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).

cnf(c_66,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).

cnf(c_67,plain,
    add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).

cnf(c_69,plain,
    multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',left_alternative) ).

cnf(c_70,plain,
    add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = associator(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG003-0.ax',associator) ).

cnf(c_92,plain,
    add(additive_inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),X2)) = associator(X0,X1,X2),
    inference(theory_normalisation,[status(thm)],[c_70,c_67,c_66]) ).

cnf(c_194,plain,
    associator(x,x,y) = sP0_iProver_def,
    definition ).

cnf(c_195,negated_conjecture,
    sP0_iProver_def != additive_identity,
    inference(demodulation,[status(thm)],[c_56,c_194]) ).

cnf(c_488,plain,
    add(additive_inverse(multiply(x,multiply(x,y))),multiply(multiply(x,x),y)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_194,c_92]) ).

cnf(c_511,plain,
    add(additive_inverse(multiply(x,multiply(x,y))),multiply(x,multiply(x,y))) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_488,c_69]) ).

cnf(c_512,plain,
    add(multiply(x,multiply(x,y)),additive_inverse(multiply(x,multiply(x,y)))) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_511,c_67,c_66]) ).

cnf(c_513,plain,
    additive_identity = sP0_iProver_def,
    inference(ac_demodulation,[status(thm)],[c_512,c_62,c_67,c_66]) ).

cnf(c_597,plain,
    $false,
    inference(superposition,[status(thm)],[c_513,c_195]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n026.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 21:42:21 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running UEQ theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.35/1.12  % SZS status Started for theBenchmark.p
% 3.35/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.12  
% 3.35/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.35/1.12  
% 3.35/1.12  ------  iProver source info
% 3.35/1.12  
% 3.35/1.12  git: date: 2024-05-02 19:28:25 +0000
% 3.35/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.35/1.12  git: non_committed_changes: false
% 3.35/1.12  
% 3.35/1.12  ------ Parsing...successful
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  ------ Preprocessing... sup_sim: 0  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 
% 3.35/1.12  
% 3.35/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.35/1.12  
% 3.35/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.35/1.12  ------ Proving...
% 3.35/1.12  ------ Problem Properties 
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  clauses                                 23
% 3.35/1.12  conjectures                             1
% 3.35/1.12  EPR                                     1
% 3.35/1.12  Horn                                    23
% 3.35/1.12  unary                                   23
% 3.35/1.12  binary                                  0
% 3.35/1.12  lits                                    23
% 3.35/1.12  lits eq                                 23
% 3.35/1.12  fd_pure                                 0
% 3.35/1.12  fd_pseudo                               0
% 3.35/1.12  fd_cond                                 0
% 3.35/1.12  fd_pseudo_cond                          0
% 3.35/1.12  AC symbols                              1
% 3.35/1.12  
% 3.35/1.12  ------ Input Options Time Limit: Unbounded
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  ------ 
% 3.35/1.12  Current options:
% 3.35/1.12  ------ 
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  ------ Proving...
% 3.35/1.12  
% 3.35/1.12  
% 3.35/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.12  
% 3.35/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/1.12  
% 3.35/1.12  
%------------------------------------------------------------------------------