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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 02:37:00 EDT 2024

% Result   : Unsatisfiable 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    xor(x,x) != falsehood,
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL002-1.ax',xor_definition) ).

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

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

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

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

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

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

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

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

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

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

cnf(c_118,plain,
    implies(or(X0,not(X1)),implies(X1,X0)) = truth,
    inference(demodulation,[status(thm)],[c_65,c_56]) ).

cnf(c_167,plain,
    xor(x,x) = sP0_iProver_def,
    definition ).

cnf(c_168,negated_conjecture,
    sP0_iProver_def != falsehood,
    inference(demodulation,[status(thm)],[c_49,c_167]) ).

cnf(c_256,plain,
    implies(or(X0,not(truth)),X0) = truth,
    inference(superposition,[status(thm)],[c_62,c_118]) ).

cnf(c_259,plain,
    implies(or(X0,falsehood),X0) = truth,
    inference(light_normalisation,[status(thm)],[c_256,c_55]) ).

cnf(c_264,plain,
    or(truth,X0) = implies(falsehood,X0),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_289,plain,
    implies(or(falsehood,X0),X0) = truth,
    inference(superposition,[status(thm)],[c_58,c_259]) ).

cnf(c_297,plain,
    or(X0,truth) = implies(falsehood,X0),
    inference(superposition,[status(thm)],[c_264,c_58]) ).

cnf(c_300,plain,
    implies(implies(falsehood,falsehood),truth) = truth,
    inference(superposition,[status(thm)],[c_264,c_259]) ).

cnf(c_494,plain,
    implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[status(thm)],[c_62,c_64]) ).

cnf(c_760,plain,
    implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
    inference(superposition,[status(thm)],[c_56,c_494]) ).

cnf(c_787,plain,
    implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
    inference(light_normalisation,[status(thm)],[c_760,c_297]) ).

cnf(c_791,plain,
    implies(not(falsehood),not(falsehood)) = truth,
    inference(demodulation,[status(thm)],[c_300,c_787]) ).

cnf(c_831,plain,
    or(falsehood,not(falsehood)) = truth,
    inference(demodulation,[status(thm)],[c_791,c_56]) ).

cnf(c_837,plain,
    implies(truth,not(falsehood)) = truth,
    inference(superposition,[status(thm)],[c_831,c_289]) ).

cnf(c_860,plain,
    not(falsehood) = truth,
    inference(demodulation,[status(thm)],[c_837,c_62]) ).

cnf(c_871,plain,
    or(falsehood,X0) = implies(truth,X0),
    inference(superposition,[status(thm)],[c_860,c_56]) ).

cnf(c_872,plain,
    or(falsehood,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_871,c_62]) ).

cnf(c_882,plain,
    implies(X0,X0) = truth,
    inference(demodulation,[status(thm)],[c_289,c_872]) ).

cnf(c_940,plain,
    or(X0,not(X0)) = truth,
    inference(superposition,[status(thm)],[c_56,c_882]) ).

cnf(c_978,plain,
    and(X0,not(X0)) = not(truth),
    inference(superposition,[status(thm)],[c_940,c_59]) ).

cnf(c_989,plain,
    and(X0,not(X0)) = falsehood,
    inference(light_normalisation,[status(thm)],[c_978,c_55]) ).

cnf(c_1001,plain,
    or(falsehood,and(not(X0),X0)) = xor(X0,X0),
    inference(superposition,[status(thm)],[c_989,c_50]) ).

cnf(c_1006,plain,
    or(falsehood,and(X0,not(X0))) = xor(X0,X0),
    inference(theory_normalisation,[status(thm)],[c_1001,c_60,c_61,c_57,c_58]) ).

cnf(c_1007,plain,
    xor(X0,X0) = or(falsehood,falsehood),
    inference(light_normalisation,[status(thm)],[c_1006,c_989]) ).

cnf(c_1010,plain,
    or(falsehood,falsehood) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_167,c_1007]) ).

cnf(c_1035,plain,
    falsehood = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_1010,c_872]) ).

cnf(c_1043,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_168,c_1035]) ).

cnf(c_1044,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1043]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 19:01:02 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  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
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...successful
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 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 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 16
% 0.47/1.15  conjectures                             1
% 0.47/1.15  EPR                                     1
% 0.47/1.15  Horn                                    16
% 0.47/1.15  unary                                   16
% 0.47/1.15  binary                                  0
% 0.47/1.15  lits                                    16
% 0.47/1.15  lits eq                                 16
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 0
% 0.47/1.15  fd_pseudo_cond                          0
% 0.47/1.15  AC symbols                              2
% 0.47/1.15  
% 0.47/1.15  ------ Input Options Time Limit: Unbounded
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.15  
%------------------------------------------------------------------------------