TSTP Solution File: LCL218-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL218-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 11:04:48 EDT 2024

% Result   : Unsatisfiable 19.24s 3.16s
% Output   : CNFRefutation 19.24s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_50,plain,
    axiom(or(not(or(X0,X0)),X0)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

cnf(c_51,plain,
    axiom(or(not(X0),or(X1,X0))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

cnf(c_52,plain,
    axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

cnf(c_53,plain,
    axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

cnf(c_55,plain,
    ifeq(axiom(X0),true,theorem(X0),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

cnf(c_56,plain,
    ifeq(theorem(X0),true,ifeq(axiom(or(not(X0),X1)),true,theorem(X1),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

cnf(c_57,plain,
    ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_3) ).

cnf(c_58,negated_conjecture,
    theorem(or(not(or(not(or(p,q)),q)),or(not(p),q))) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_95,plain,
    or(p,q) = sP0_iProver_def,
    definition ).

cnf(c_96,plain,
    not(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_97,plain,
    or(sP1_iProver_def,q) = sP2_iProver_def,
    definition ).

cnf(c_98,plain,
    not(sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_99,plain,
    not(p) = sP4_iProver_def,
    definition ).

cnf(c_100,plain,
    or(sP4_iProver_def,q) = sP5_iProver_def,
    definition ).

cnf(c_101,plain,
    or(sP3_iProver_def,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_102,plain,
    theorem(sP6_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_103,negated_conjecture,
    sP7_iProver_def != true,
    inference(demodulation,[status(thm)],[c_58,c_99,c_100,c_95,c_96,c_97,c_98,c_101,c_102]) ).

cnf(c_191,plain,
    axiom(or(sP3_iProver_def,or(X0,sP2_iProver_def))) = true,
    inference(superposition,[status(thm)],[c_98,c_51]) ).

cnf(c_200,plain,
    axiom(or(not(or(q,p)),sP0_iProver_def)) = true,
    inference(superposition,[status(thm)],[c_95,c_52]) ).

cnf(c_207,plain,
    axiom(or(not(or(X0,sP2_iProver_def)),or(sP1_iProver_def,or(X0,q)))) = true,
    inference(superposition,[status(thm)],[c_97,c_53]) ).

cnf(c_212,plain,
    axiom(or(not(or(sP4_iProver_def,or(X0,q))),or(X0,sP5_iProver_def))) = true,
    inference(superposition,[status(thm)],[c_100,c_53]) ).

cnf(c_249,plain,
    ifeq(theorem(or(X0,X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
    inference(superposition,[status(thm)],[c_50,c_56]) ).

cnf(c_252,plain,
    ifeq(theorem(or(X0,or(X1,X2))),true,ifeq(true,true,theorem(or(X1,or(X0,X2))),true),true) = true,
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_269,plain,
    ifeq(theorem(or(X0,X0)),true,theorem(X0),true) = true,
    inference(demodulation,[status(thm)],[c_249,c_49]) ).

cnf(c_271,plain,
    ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true) = true,
    inference(demodulation,[status(thm)],[c_252,c_49]) ).

cnf(c_354,plain,
    ifeq(theorem(or(not(or(X0,X1)),X2)),true,ifeq(true,true,theorem(or(not(X1),X2)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_364,plain,
    ifeq(theorem(or(not(sP0_iProver_def),X0)),true,ifeq(true,true,theorem(or(not(or(q,p)),X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_200,c_57]) ).

cnf(c_392,plain,
    ifeq(theorem(or(sP1_iProver_def,X0)),true,theorem(or(not(or(q,p)),X0)),true) = true,
    inference(demodulation,[status(thm)],[c_364,c_49,c_96]) ).

cnf(c_395,plain,
    ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true) = true,
    inference(demodulation,[status(thm)],[c_354,c_49]) ).

cnf(c_418,plain,
    ifeq(true,true,theorem(or(sP3_iProver_def,or(X0,sP2_iProver_def))),true) = true,
    inference(superposition,[status(thm)],[c_191,c_55]) ).

cnf(c_419,plain,
    theorem(or(sP3_iProver_def,or(X0,sP2_iProver_def))) = true,
    inference(demodulation,[status(thm)],[c_418,c_49]) ).

cnf(c_525,plain,
    ifeq(theorem(or(X0,sP2_iProver_def)),true,ifeq(true,true,theorem(or(sP1_iProver_def,or(X0,q))),true),true) = true,
    inference(superposition,[status(thm)],[c_207,c_56]) ).

cnf(c_528,plain,
    ifeq(theorem(or(X0,sP2_iProver_def)),true,theorem(or(sP1_iProver_def,or(X0,q))),true) = true,
    inference(demodulation,[status(thm)],[c_525,c_49]) ).

cnf(c_752,plain,
    axiom(or(not(or(sP4_iProver_def,or(sP3_iProver_def,q))),sP6_iProver_def)) = true,
    inference(superposition,[status(thm)],[c_101,c_212]) ).

cnf(c_961,plain,
    ifeq(theorem(or(sP4_iProver_def,or(sP3_iProver_def,q))),true,ifeq(true,true,theorem(sP6_iProver_def),true),true) = true,
    inference(superposition,[status(thm)],[c_752,c_56]) ).

cnf(c_964,plain,
    ifeq(theorem(or(sP4_iProver_def,or(sP3_iProver_def,q))),true,sP7_iProver_def,true) = true,
    inference(demodulation,[status(thm)],[c_961,c_49,c_102]) ).

cnf(c_2244,plain,
    ifeq(true,true,theorem(or(X0,or(sP3_iProver_def,sP2_iProver_def))),true) = true,
    inference(superposition,[status(thm)],[c_419,c_271]) ).

cnf(c_2333,plain,
    theorem(or(X0,or(sP3_iProver_def,sP2_iProver_def))) = true,
    inference(demodulation,[status(thm)],[c_2244,c_49]) ).

cnf(c_3369,plain,
    ifeq(true,true,theorem(or(sP3_iProver_def,sP2_iProver_def)),true) = true,
    inference(superposition,[status(thm)],[c_2333,c_269]) ).

cnf(c_3376,plain,
    theorem(or(sP3_iProver_def,sP2_iProver_def)) = true,
    inference(demodulation,[status(thm)],[c_3369,c_49]) ).

cnf(c_13083,plain,
    ifeq(true,true,theorem(or(sP1_iProver_def,or(sP3_iProver_def,q))),true) = true,
    inference(superposition,[status(thm)],[c_3376,c_528]) ).

cnf(c_13098,plain,
    theorem(or(sP1_iProver_def,or(sP3_iProver_def,q))) = true,
    inference(demodulation,[status(thm)],[c_13083,c_49]) ).

cnf(c_17312,plain,
    ifeq(true,true,theorem(or(not(or(q,p)),or(sP3_iProver_def,q))),true) = true,
    inference(superposition,[status(thm)],[c_13098,c_392]) ).

cnf(c_17322,plain,
    theorem(or(not(or(q,p)),or(sP3_iProver_def,q))) = true,
    inference(demodulation,[status(thm)],[c_17312,c_49]) ).

cnf(c_39805,plain,
    ifeq(true,true,theorem(or(not(p),or(sP3_iProver_def,q))),true) = true,
    inference(superposition,[status(thm)],[c_17322,c_395]) ).

cnf(c_39812,plain,
    theorem(or(sP4_iProver_def,or(sP3_iProver_def,q))) = true,
    inference(demodulation,[status(thm)],[c_39805,c_49,c_99]) ).

cnf(c_39826,plain,
    ifeq(true,true,sP7_iProver_def,true) = true,
    inference(demodulation,[status(thm)],[c_964,c_39812]) ).

cnf(c_39828,plain,
    true = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_39826,c_49]) ).

cnf(c_40907,plain,
    sP7_iProver_def != sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_103,c_39828]) ).

cnf(c_40908,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_40907]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL218-10 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Jun 22 17:57:09 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  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
% 19.24/3.16  % SZS status Started for theBenchmark.p
% 19.24/3.16  % SZS status Unsatisfiable for theBenchmark.p
% 19.24/3.16  
% 19.24/3.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.24/3.16  
% 19.24/3.16  ------  iProver source info
% 19.24/3.16  
% 19.24/3.16  git: date: 2024-06-12 09:56:46 +0000
% 19.24/3.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 19.24/3.16  git: non_committed_changes: false
% 19.24/3.16  
% 19.24/3.16  ------ Parsing...successful
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 19.24/3.16  
% 19.24/3.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 19.24/3.16  
% 19.24/3.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 19.24/3.16  ------ Proving...
% 19.24/3.16  ------ Problem Properties 
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  clauses                                 18
% 19.24/3.16  conjectures                             1
% 19.24/3.16  EPR                                     1
% 19.24/3.16  Horn                                    18
% 19.24/3.16  unary                                   18
% 19.24/3.16  binary                                  0
% 19.24/3.16  lits                                    18
% 19.24/3.16  lits eq                                 18
% 19.24/3.16  fd_pure                                 0
% 19.24/3.16  fd_pseudo                               0
% 19.24/3.16  fd_cond                                 0
% 19.24/3.16  fd_pseudo_cond                          0
% 19.24/3.16  AC symbols                              0
% 19.24/3.16  
% 19.24/3.16  ------ Input Options Time Limit: Unbounded
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  ------ 
% 19.24/3.16  Current options:
% 19.24/3.16  ------ 
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  ------ Proving...
% 19.24/3.16  
% 19.24/3.16  
% 19.24/3.16  % SZS status Unsatisfiable for theBenchmark.p
% 19.24/3.16  
% 19.24/3.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.24/3.16  
% 19.24/3.16  
%------------------------------------------------------------------------------