TSTP Solution File: LCL163-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 02:37:02 EDT 2024

% Result   : Unsatisfiable 27.90s 4.13s
% Output   : CNFRefutation 27.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    xor(X0,X1) = xor(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).

cnf(c_50,plain,
    and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_associativity) ).

cnf(c_51,plain,
    and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity) ).

cnf(c_53,plain,
    xor(truth,and_star(X0,xor(truth,X1))) = implies(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

cnf(c_54,negated_conjecture,
    implies(implies(x,y),y) != implies(implies(y,x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).

cnf(c_55,plain,
    xor(X0,truth) = not(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_1) ).

cnf(c_56,plain,
    xor(X0,falsehood) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_2) ).

cnf(c_57,plain,
    xor(X0,X0) = falsehood,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_3) ).

cnf(c_61,plain,
    xor(xor(X0,truth),X1) = xor(X0,xor(truth,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_7) ).

cnf(c_62,plain,
    and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_8) ).

cnf(c_76,plain,
    and_star(X0,xor(and_star(xor(truth,X1),X0),truth)) = and_star(X1,xor(and_star(xor(truth,X0),X1),truth)),
    inference(theory_normalisation,[status(thm)],[c_62,c_50,c_51]) ).

cnf(c_113,plain,
    implies(x,y) = sP0_iProver_def,
    definition ).

cnf(c_114,plain,
    implies(sP0_iProver_def,y) = sP1_iProver_def,
    definition ).

cnf(c_115,plain,
    implies(y,x) = sP2_iProver_def,
    definition ).

cnf(c_116,plain,
    implies(sP2_iProver_def,x) = sP3_iProver_def,
    definition ).

cnf(c_117,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_54,c_115,c_116,c_113,c_114]) ).

cnf(c_619,plain,
    xor(truth,X0) = not(X0),
    inference(superposition,[status(thm)],[c_49,c_55]) ).

cnf(c_639,plain,
    xor(falsehood,X0) = X0,
    inference(superposition,[status(thm)],[c_49,c_56]) ).

cnf(c_707,plain,
    xor(truth,xor(truth,X0)) = xor(falsehood,X0),
    inference(superposition,[status(thm)],[c_57,c_61]) ).

cnf(c_826,plain,
    and_star(X0,xor(and_star(xor(truth,X1),X0),truth)) = and_star(X1,xor(and_star(X1,xor(truth,X0)),truth)),
    inference(superposition,[status(thm)],[c_51,c_76]) ).

cnf(c_1016,plain,
    xor(truth,and_star(x,xor(truth,y))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_53,c_113]) ).

cnf(c_1172,plain,
    xor(truth,and_star(sP0_iProver_def,xor(truth,y))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_53,c_114]) ).

cnf(c_1174,plain,
    xor(truth,and_star(y,xor(truth,x))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_53,c_115]) ).

cnf(c_1176,plain,
    xor(truth,and_star(sP2_iProver_def,xor(truth,x))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_53,c_116]) ).

cnf(c_1196,plain,
    not(and_star(sP2_iProver_def,not(x))) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_1176,c_619]) ).

cnf(c_1197,plain,
    not(and_star(y,not(x))) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_1174,c_619]) ).

cnf(c_1198,plain,
    not(and_star(sP0_iProver_def,not(y))) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_1172,c_619]) ).

cnf(c_1199,plain,
    not(and_star(x,not(y))) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_1016,c_619]) ).

cnf(c_1204,plain,
    not(not(X0)) = X0,
    inference(demodulation,[status(thm)],[c_707,c_619,c_639]) ).

cnf(c_1258,plain,
    and_star(X0,xor(and_star(not(X1),X0),truth)) = and_star(X1,xor(and_star(X1,not(X0)),truth)),
    inference(demodulation,[status(thm)],[c_826,c_619]) ).

cnf(c_1259,plain,
    and_star(X0,not(and_star(not(X1),X0))) = and_star(X1,not(and_star(X1,not(X0)))),
    inference(demodulation,[status(thm)],[c_1258,c_55]) ).

cnf(c_2432,plain,
    and_star(sP2_iProver_def,not(x)) = not(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_1196,c_1204]) ).

cnf(c_2436,plain,
    and_star(sP0_iProver_def,not(y)) = not(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_1198,c_1204]) ).

cnf(c_2438,plain,
    and_star(x,not(y)) = not(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1199,c_1204]) ).

cnf(c_2796,plain,
    and_star(not(X0),not(and_star(not(X0),not(X1)))) = and_star(X1,not(and_star(X0,X1))),
    inference(superposition,[status(thm)],[c_1204,c_1259]) ).

cnf(c_5323,plain,
    and_star(not(x),not(and_star(not(x),not(not(y))))) = and_star(not(y),not(not(sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_2438,c_2796]) ).

cnf(c_5444,plain,
    and_star(not(x),not(and_star(not(x),y))) = and_star(not(y),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_5323,c_1204]) ).

cnf(c_5445,plain,
    and_star(not(x),not(and_star(y,not(x)))) = and_star(sP0_iProver_def,not(y)),
    inference(theory_normalisation,[status(thm)],[c_5444,c_50,c_51]) ).

cnf(c_5446,plain,
    and_star(not(x),sP2_iProver_def) = not(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_5445,c_1197,c_2436]) ).

cnf(c_5447,plain,
    and_star(sP2_iProver_def,not(x)) = not(sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_5446,c_50,c_51]) ).

cnf(c_5448,plain,
    not(sP1_iProver_def) = not(sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_5447,c_2432]) ).

cnf(c_8969,plain,
    not(not(sP1_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_5448,c_1204]) ).

cnf(c_9425,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_8969,c_1204]) ).

cnf(c_10076,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_117,c_9425]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n004.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
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 19:10:03 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running UEQ theorem proving
% 0.17/0.44  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
% 27.90/4.13  % SZS status Started for theBenchmark.p
% 27.90/4.13  % SZS status Unsatisfiable for theBenchmark.p
% 27.90/4.13  
% 27.90/4.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.90/4.13  
% 27.90/4.13  ------  iProver source info
% 27.90/4.13  
% 27.90/4.13  git: date: 2024-05-02 19:28:25 +0000
% 27.90/4.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 27.90/4.13  git: non_committed_changes: false
% 27.90/4.13  
% 27.90/4.13  ------ Parsing...successful
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 27.90/4.13  
% 27.90/4.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 27.90/4.13  
% 27.90/4.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 27.90/4.13  ------ Proving...
% 27.90/4.13  ------ Problem Properties 
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  clauses                                 18
% 27.90/4.13  conjectures                             1
% 27.90/4.13  EPR                                     1
% 27.90/4.13  Horn                                    18
% 27.90/4.13  unary                                   18
% 27.90/4.13  binary                                  0
% 27.90/4.13  lits                                    18
% 27.90/4.13  lits eq                                 18
% 27.90/4.13  fd_pure                                 0
% 27.90/4.13  fd_pseudo                               0
% 27.90/4.13  fd_cond                                 0
% 27.90/4.13  fd_pseudo_cond                          0
% 27.90/4.13  AC symbols                              1
% 27.90/4.13  
% 27.90/4.13  ------ Input Options Time Limit: Unbounded
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  ------ 
% 27.90/4.13  Current options:
% 27.90/4.13  ------ 
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  ------ Proving...
% 27.90/4.13  
% 27.90/4.13  
% 27.90/4.13  % SZS status Unsatisfiable for theBenchmark.p
% 27.90/4.13  
% 27.90/4.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.90/4.13  
% 27.90/4.13  
%------------------------------------------------------------------------------