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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL163-1 : 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 11:04:25 EDT 2024

% Result   : Unsatisfiable 15.19s 2.70s
% Output   : CNFRefutation 15.19s
% 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_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_58,plain,
    and_star(X0,truth) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_4) ).

cnf(c_59,plain,
    and_star(X0,falsehood) = falsehood,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_5) ).

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_109,plain,
    implies(x,y) = sP0_iProver_def,
    definition ).

cnf(c_110,plain,
    implies(sP0_iProver_def,y) = sP1_iProver_def,
    definition ).

cnf(c_111,plain,
    implies(y,x) = sP2_iProver_def,
    definition ).

cnf(c_112,plain,
    implies(sP2_iProver_def,x) = sP3_iProver_def,
    definition ).

cnf(c_113,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_54,c_111,c_112,c_109,c_110]) ).

cnf(c_6973,plain,
    xor(X0,xor(truth,X1)) = xor(not(X0),X1),
    inference(demodulation,[status(thm)],[c_61,c_55]) ).

cnf(c_6974,plain,
    and_star(X0,not(and_star(xor(truth,X1),X0))) = and_star(X1,not(and_star(xor(truth,X0),X1))),
    inference(demodulation,[status(thm)],[c_62,c_51,c_55]) ).

cnf(c_8148,plain,
    and_star(truth,X0) = X0,
    inference(superposition,[status(thm)],[c_51,c_58]) ).

cnf(c_8149,plain,
    and_star(falsehood,X0) = falsehood,
    inference(superposition,[status(thm)],[c_51,c_59]) ).

cnf(c_8158,plain,
    xor(truth,X0) = not(X0),
    inference(superposition,[status(thm)],[c_49,c_55]) ).

cnf(c_8175,plain,
    xor(truth,and_star(xor(truth,X0),X1)) = implies(X1,X0),
    inference(superposition,[status(thm)],[c_51,c_53]) ).

cnf(c_8176,plain,
    xor(truth,and_star(X0,xor(X1,truth))) = implies(X0,X1),
    inference(superposition,[status(thm)],[c_49,c_53]) ).

cnf(c_8181,plain,
    xor(truth,and_star(X0,falsehood)) = implies(X0,truth),
    inference(superposition,[status(thm)],[c_57,c_53]) ).

cnf(c_8182,plain,
    xor(truth,and_star(X0,implies(X1,X2))) = implies(X0,and_star(X1,xor(truth,X2))),
    inference(superposition,[status(thm)],[c_53,c_53]) ).

cnf(c_8191,plain,
    xor(not(X0),truth) = xor(X0,falsehood),
    inference(superposition,[status(thm)],[c_57,c_6973]) ).

cnf(c_8233,plain,
    and_star(X0,not(and_star(xor(truth,truth),X0))) = and_star(truth,not(xor(truth,X0))),
    inference(superposition,[status(thm)],[c_58,c_6974]) ).

cnf(c_8244,plain,
    and_star(truth,not(and_star(xor(truth,X0),truth))) = and_star(X0,not(and_star(falsehood,X0))),
    inference(superposition,[status(thm)],[c_57,c_6974]) ).

cnf(c_8266,plain,
    not(not(X0)) = X0,
    inference(demodulation,[status(thm)],[c_8191,c_55,c_56]) ).

cnf(c_8269,plain,
    not(and_star(X0,falsehood)) = implies(X0,truth),
    inference(demodulation,[status(thm)],[c_8181,c_8158]) ).

cnf(c_8270,plain,
    implies(X0,truth) = not(falsehood),
    inference(demodulation,[status(thm)],[c_8269,c_59]) ).

cnf(c_8289,plain,
    not(and_star(X0,xor(X1,truth))) = implies(X0,X1),
    inference(demodulation,[status(thm)],[c_8176,c_8158]) ).

cnf(c_8290,plain,
    not(and_star(X0,not(X1))) = implies(X0,X1),
    inference(demodulation,[status(thm)],[c_8289,c_55]) ).

cnf(c_8291,plain,
    not(and_star(not(X0),X1)) = implies(X1,X0),
    inference(demodulation,[status(thm)],[c_8175,c_8158]) ).

cnf(c_8293,plain,
    and_star(X0,not(falsehood)) = implies(truth,X0),
    inference(demodulation,[status(thm)],[c_8244,c_8158,c_8148,c_8149,c_8291]) ).

cnf(c_8294,plain,
    implies(truth,X0) = X0,
    inference(demodulation,[status(thm)],[c_8233,c_8158,c_8148,c_8266,c_8270,c_8291,c_8293]) ).

cnf(c_8295,plain,
    not(and_star(X0,implies(X1,X2))) = implies(X0,and_star(X1,not(X2))),
    inference(demodulation,[status(thm)],[c_8182,c_8158]) ).

cnf(c_8440,plain,
    not(and_star(truth,implies(X0,X1))) = and_star(X0,not(X1)),
    inference(superposition,[status(thm)],[c_8295,c_8294]) ).

cnf(c_8702,plain,
    and_star(X0,not(X1)) = not(implies(X0,X1)),
    inference(demodulation,[status(thm)],[c_8440,c_8148]) ).

cnf(c_9065,plain,
    not(and_star(X0,not(and_star(xor(truth,not(X1)),X0)))) = implies(not(and_star(xor(truth,X0),not(X1))),X1),
    inference(superposition,[status(thm)],[c_6974,c_8291]) ).

cnf(c_9125,plain,
    not(not(implies(not(X0),X1))) = implies(not(X1),X0),
    inference(superposition,[status(thm)],[c_8702,c_8291]) ).

cnf(c_9250,plain,
    implies(not(X0),X1) = implies(not(X1),X0),
    inference(demodulation,[status(thm)],[c_9125,c_8266]) ).

cnf(c_9335,plain,
    not(and_star(X0,not(and_star(xor(truth,not(X1)),X0)))) = implies(not(X1),and_star(xor(truth,X0),not(X1))),
    inference(demodulation,[status(thm)],[c_9065,c_9250]) ).

cnf(c_9336,plain,
    implies(implies(not(X0),X1),X1) = implies(X0,and_star(X1,X0)),
    inference(demodulation,[status(thm)],[c_9335,c_8158,c_8266,c_8290,c_8291,c_8295]) ).

cnf(c_12207,plain,
    implies(not(X0),and_star(X1,not(X0))) = implies(implies(X0,X1),X1),
    inference(superposition,[status(thm)],[c_8266,c_9336]) ).

cnf(c_12379,plain,
    implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    inference(demodulation,[status(thm)],[c_12207,c_8291,c_8295]) ).

cnf(c_12542,plain,
    implies(implies(y,x),x) = implies(sP0_iProver_def,y),
    inference(superposition,[status(thm)],[c_109,c_12379]) ).

cnf(c_12747,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_12542,c_110,c_111,c_112]) ).

cnf(c_12748,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12747,c_113]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL163-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.12  % 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 18:05:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.47  Running UEQ theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.19/2.70  % SZS status Started for theBenchmark.p
% 15.19/2.70  % SZS status Unsatisfiable for theBenchmark.p
% 15.19/2.70  
% 15.19/2.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.19/2.70  
% 15.19/2.70  ------  iProver source info
% 15.19/2.70  
% 15.19/2.70  git: date: 2024-06-12 09:56:46 +0000
% 15.19/2.70  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 15.19/2.70  git: non_committed_changes: false
% 15.19/2.70  
% 15.19/2.70  ------ Parsing...successful
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 15.19/2.70  
% 15.19/2.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 15.19/2.70  
% 15.19/2.70  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 15.19/2.70  ------ Proving...
% 15.19/2.70  ------ Problem Properties 
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  clauses                                 18
% 15.19/2.70  conjectures                             1
% 15.19/2.70  EPR                                     1
% 15.19/2.70  Horn                                    18
% 15.19/2.70  unary                                   18
% 15.19/2.70  binary                                  0
% 15.19/2.70  lits                                    18
% 15.19/2.70  lits eq                                 18
% 15.19/2.70  fd_pure                                 0
% 15.19/2.70  fd_pseudo                               0
% 15.19/2.70  fd_cond                                 0
% 15.19/2.70  fd_pseudo_cond                          0
% 15.19/2.70  AC symbols                              1
% 15.19/2.70  
% 15.19/2.70  ------ Input Options Time Limit: Unbounded
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  ------ 
% 15.19/2.70  Current options:
% 15.19/2.70  ------ 
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  ------ Proving...
% 15.19/2.70  
% 15.19/2.70  
% 15.19/2.70  % SZS status Unsatisfiable for theBenchmark.p
% 15.19/2.70  
% 15.19/2.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.19/2.70  
% 15.19/2.70  
%------------------------------------------------------------------------------