TSTP Solution File: LCL155-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL155-1 : TPTP v8.2.0. 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 : Mon Jun 24 11:04:23 EDT 2024

% Result   : Unsatisfiable 2.25s 1.14s
% Output   : CNFRefutation 2.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   37 (  37 unt;   0 nHn;   9 RR)
%            Number of literals    :   37 (  36 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    xor(x,x) != falsehood,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).

cnf(c_50,plain,
    or(and(X0,not(X1)),and(not(X0),X1)) = xor(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',xor_definition) ).

cnf(c_55,plain,
    not(truth) = falsehood,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',false_definition) ).

cnf(c_56,plain,
    implies(not(X0),X1) = or(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_definition) ).

cnf(c_57,plain,
    or(or(X0,X1),X2) = or(X0,or(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_associativity) ).

cnf(c_58,plain,
    or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).

cnf(c_59,plain,
    not(or(not(X0),not(X1))) = and(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',and_definition) ).

cnf(c_60,plain,
    and(and(X0,X1),X2) = and(X0,and(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',and_associativity) ).

cnf(c_61,plain,
    and(X0,X1) = and(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',and_commutativity) ).

cnf(c_62,plain,
    implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).

cnf(c_64,plain,
    implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).

cnf(c_65,plain,
    implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).

cnf(c_117,plain,
    implies(or(X0,not(X1)),implies(X1,X0)) = truth,
    inference(demodulation,[status(thm)],[c_65,c_56]) ).

cnf(c_247,plain,
    or(truth,X0) = implies(falsehood,X0),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_249,plain,
    or(X0,truth) = implies(falsehood,X0),
    inference(superposition,[status(thm)],[c_58,c_247]) ).

cnf(c_274,plain,
    implies(or(X0,not(truth)),X0) = truth,
    inference(superposition,[status(thm)],[c_62,c_117]) ).

cnf(c_277,plain,
    implies(or(X0,falsehood),X0) = truth,
    inference(light_normalisation,[status(thm)],[c_274,c_55]) ).

cnf(c_299,plain,
    implies(or(falsehood,X0),X0) = truth,
    inference(superposition,[status(thm)],[c_58,c_277]) ).

cnf(c_300,plain,
    implies(implies(falsehood,falsehood),truth) = truth,
    inference(superposition,[status(thm)],[c_247,c_277]) ).

cnf(c_516,plain,
    implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[status(thm)],[c_62,c_64]) ).

cnf(c_771,plain,
    implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
    inference(superposition,[status(thm)],[c_56,c_516]) ).

cnf(c_797,plain,
    implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
    inference(light_normalisation,[status(thm)],[c_771,c_249]) ).

cnf(c_801,plain,
    implies(not(falsehood),not(falsehood)) = truth,
    inference(demodulation,[status(thm)],[c_300,c_797]) ).

cnf(c_841,plain,
    or(falsehood,not(falsehood)) = truth,
    inference(demodulation,[status(thm)],[c_801,c_56]) ).

cnf(c_846,plain,
    implies(truth,not(falsehood)) = truth,
    inference(superposition,[status(thm)],[c_841,c_299]) ).

cnf(c_864,plain,
    not(falsehood) = truth,
    inference(demodulation,[status(thm)],[c_846,c_62]) ).

cnf(c_876,plain,
    or(falsehood,X0) = implies(truth,X0),
    inference(superposition,[status(thm)],[c_864,c_56]) ).

cnf(c_877,plain,
    or(falsehood,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_876,c_62]) ).

cnf(c_887,plain,
    implies(X0,X0) = truth,
    inference(demodulation,[status(thm)],[c_299,c_877]) ).

cnf(c_937,plain,
    or(X0,not(X0)) = truth,
    inference(superposition,[status(thm)],[c_56,c_887]) ).

cnf(c_987,plain,
    and(X0,not(X0)) = not(truth),
    inference(superposition,[status(thm)],[c_937,c_59]) ).

cnf(c_997,plain,
    and(X0,not(X0)) = falsehood,
    inference(light_normalisation,[status(thm)],[c_987,c_55]) ).

cnf(c_1012,plain,
    or(falsehood,and(not(X0),X0)) = xor(X0,X0),
    inference(superposition,[status(thm)],[c_997,c_50]) ).

cnf(c_1017,plain,
    or(falsehood,and(X0,not(X0))) = xor(X0,X0),
    inference(theory_normalisation,[status(thm)],[c_1012,c_60,c_61,c_57,c_58]) ).

cnf(c_1018,plain,
    xor(X0,X0) = or(falsehood,falsehood),
    inference(light_normalisation,[status(thm)],[c_1017,c_997]) ).

cnf(c_1021,plain,
    or(falsehood,falsehood) != falsehood,
    inference(demodulation,[status(thm)],[c_49,c_1018]) ).

cnf(c_1022,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1021,c_877]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL155-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n021.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 : Sat Jun 22 15:39:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running UEQ theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.25/1.14  % SZS status Started for theBenchmark.p
% 2.25/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.25/1.14  
% 2.25/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.25/1.14  
% 2.25/1.14  ------  iProver source info
% 2.25/1.14  
% 2.25/1.14  git: date: 2024-06-12 09:56:46 +0000
% 2.25/1.14  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.25/1.14  git: non_committed_changes: false
% 2.25/1.14  
% 2.25/1.14  ------ Parsing...successful
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  ------ Preprocessing... sup_sim: 5  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 
% 2.25/1.14  
% 2.25/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.25/1.14  
% 2.25/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.25/1.14  ------ Proving...
% 2.25/1.14  ------ Problem Properties 
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  clauses                                 15
% 2.25/1.14  conjectures                             1
% 2.25/1.14  EPR                                     0
% 2.25/1.14  Horn                                    15
% 2.25/1.14  unary                                   15
% 2.25/1.14  binary                                  0
% 2.25/1.14  lits                                    15
% 2.25/1.14  lits eq                                 15
% 2.25/1.14  fd_pure                                 0
% 2.25/1.14  fd_pseudo                               0
% 2.25/1.14  fd_cond                                 0
% 2.25/1.14  fd_pseudo_cond                          0
% 2.25/1.14  AC symbols                              2
% 2.25/1.14  
% 2.25/1.14  ------ Input Options Time Limit: Unbounded
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  ------ 
% 2.25/1.14  Current options:
% 2.25/1.14  ------ 
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  ------ Proving...
% 2.25/1.14  
% 2.25/1.14  
% 2.25/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.25/1.14  
% 2.25/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.25/1.14  
% 2.25/1.14  
%------------------------------------------------------------------------------