TSTP Solution File: LCL231-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL231-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 02:37:23 EDT 2024

% Result   : Unsatisfiable 165.91s 21.69s
% Output   : CNFRefutation 165.91s
% 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_51,plain,
    axiom(implies(X0,or(X1,X0))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

cnf(c_53,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

cnf(c_54,plain,
    axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

cnf(c_55,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

cnf(c_56,plain,
    ifeq(axiom(X0),true,theorem(X0),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

cnf(c_57,plain,
    ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

cnf(c_58,negated_conjecture,
    theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

cnf(c_96,plain,
    implies(p,r) = sP1_iProver_def,
    definition ).

cnf(c_97,plain,
    implies(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_98,plain,
    implies(q,r) = sP3_iProver_def,
    definition ).

cnf(c_99,plain,
    implies(p,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_100,plain,
    implies(sP2_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_101,plain,
    theorem(sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_102,negated_conjecture,
    sP6_iProver_def != true,
    inference(demodulation,[status(thm)],[c_58,c_98,c_99,c_96,c_95,c_97,c_100,c_101]) ).

cnf(c_380360,plain,
    ifeq(true,true,theorem(implies(X0,or(X1,X0))),true) = true,
    inference(superposition,[status(thm)],[c_51,c_56]) ).

cnf(c_380362,plain,
    ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true) = true,
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_380363,plain,
    ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true) = true,
    inference(superposition,[status(thm)],[c_54,c_56]) ).

cnf(c_380364,plain,
    ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
    inference(superposition,[status(thm)],[c_55,c_57]) ).

cnf(c_380367,plain,
    or(not(p),q) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_95,c_55]) ).

cnf(c_380371,plain,
    or(not(p),r) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_96,c_55]) ).

cnf(c_380375,plain,
    or(not(sP0_iProver_def),sP1_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_97,c_55]) ).

cnf(c_380379,plain,
    or(not(q),r) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_98,c_55]) ).

cnf(c_380383,plain,
    or(not(p),sP3_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_99,c_55]) ).

cnf(c_380387,plain,
    or(not(sP2_iProver_def),sP4_iProver_def) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_100,c_55]) ).

cnf(c_380391,plain,
    ifeq(theorem(implies(X0,sP5_iProver_def)),true,ifeq(theorem(X0),true,sP6_iProver_def,true),true) = true,
    inference(superposition,[status(thm)],[c_101,c_57]) ).

cnf(c_380399,plain,
    theorem(or(not(X0),or(X1,X0))) = true,
    inference(demodulation,[status(thm)],[c_380360,c_49,c_55]) ).

cnf(c_380403,plain,
    ifeq(theorem(or(not(X0),sP5_iProver_def)),true,ifeq(theorem(X0),true,sP6_iProver_def,true),true) = true,
    inference(demodulation,[status(thm)],[c_380391,c_55]) ).

cnf(c_380408,plain,
    theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
    inference(demodulation,[status(thm)],[c_380363,c_49,c_55]) ).

cnf(c_380409,plain,
    theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
    inference(demodulation,[status(thm)],[c_380362,c_49,c_55]) ).

cnf(c_380460,plain,
    theorem(or(not(q),sP0_iProver_def)) = true,
    inference(superposition,[status(thm)],[c_380367,c_380399]) ).

cnf(c_380579,plain,
    theorem(or(not(sP2_iProver_def),or(not(or(X0,sP0_iProver_def)),or(X0,sP1_iProver_def)))) = true,
    inference(superposition,[status(thm)],[c_380375,c_380408]) ).

cnf(c_380594,plain,
    theorem(or(not(or(not(X0),sP4_iProver_def)),or(not(or(not(sP2_iProver_def),X0)),sP5_iProver_def))) = true,
    inference(superposition,[status(thm)],[c_380387,c_380408]) ).

cnf(c_380605,plain,
    theorem(or(not(or(X0,sP1_iProver_def)),or(not(p),or(X0,r)))) = true,
    inference(superposition,[status(thm)],[c_380371,c_380409]) ).

cnf(c_380624,plain,
    ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true) = true,
    inference(superposition,[status(thm)],[c_380409,c_380364]) ).

cnf(c_380684,plain,
    ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true) = true,
    inference(demodulation,[status(thm)],[c_380624,c_49]) ).

cnf(c_380701,plain,
    ifeq(theorem(implies(or(not(q),sP0_iProver_def),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
    inference(superposition,[status(thm)],[c_380460,c_57]) ).

cnf(c_381245,plain,
    ifeq(true,true,ifeq(theorem(or(not(X0),sP4_iProver_def)),true,theorem(or(not(or(not(sP2_iProver_def),X0)),sP5_iProver_def)),true),true) = true,
    inference(superposition,[status(thm)],[c_380594,c_380364]) ).

cnf(c_381259,plain,
    theorem(or(not(or(not(q),sP1_iProver_def)),or(not(p),sP3_iProver_def))) = true,
    inference(superposition,[status(thm)],[c_380379,c_380605]) ).

cnf(c_381321,plain,
    theorem(or(not(or(not(q),sP1_iProver_def)),sP4_iProver_def)) = true,
    inference(demodulation,[status(thm)],[c_381259,c_380383]) ).

cnf(c_381359,plain,
    ifeq(theorem(or(not(or(not(q),sP0_iProver_def)),X0)),true,theorem(X0),true) = true,
    inference(demodulation,[status(thm)],[c_380701,c_49,c_55]) ).

cnf(c_381404,plain,
    ifeq(theorem(or(not(X0),sP4_iProver_def)),true,theorem(or(not(or(not(sP2_iProver_def),X0)),sP5_iProver_def)),true) = true,
    inference(demodulation,[status(thm)],[c_381245,c_49]) ).

cnf(c_383137,plain,
    ifeq(true,true,theorem(or(not(or(X0,sP0_iProver_def)),or(not(sP2_iProver_def),or(X0,sP1_iProver_def)))),true) = true,
    inference(superposition,[status(thm)],[c_380579,c_380684]) ).

cnf(c_383503,plain,
    theorem(or(not(or(X0,sP0_iProver_def)),or(not(sP2_iProver_def),or(X0,sP1_iProver_def)))) = true,
    inference(demodulation,[status(thm)],[c_383137,c_49]) ).

cnf(c_391879,plain,
    ifeq(true,true,theorem(or(not(or(not(sP2_iProver_def),or(not(q),sP1_iProver_def))),sP5_iProver_def)),true) = true,
    inference(superposition,[status(thm)],[c_381321,c_381404]) ).

cnf(c_391934,plain,
    theorem(or(not(or(not(sP2_iProver_def),or(not(q),sP1_iProver_def))),sP5_iProver_def)) = true,
    inference(demodulation,[status(thm)],[c_391879,c_49]) ).

cnf(c_466714,plain,
    ifeq(true,true,theorem(or(not(sP2_iProver_def),or(not(q),sP1_iProver_def))),true) = true,
    inference(superposition,[status(thm)],[c_383503,c_381359]) ).

cnf(c_467523,plain,
    theorem(or(not(sP2_iProver_def),or(not(q),sP1_iProver_def))) = true,
    inference(demodulation,[status(thm)],[c_466714,c_49]) ).

cnf(c_711730,plain,
    ifeq(true,true,ifeq(theorem(or(not(sP2_iProver_def),or(not(q),sP1_iProver_def))),true,sP6_iProver_def,true),true) = true,
    inference(superposition,[status(thm)],[c_391934,c_380403]) ).

cnf(c_711746,plain,
    true = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_711730,c_49,c_467523]) ).

cnf(c_714070,plain,
    $false,
    inference(superposition,[status(thm)],[c_711746,c_102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL231-10 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 19:08:46 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 165.91/21.69  % SZS status Started for theBenchmark.p
% 165.91/21.69  % SZS status Unsatisfiable for theBenchmark.p
% 165.91/21.69  
% 165.91/21.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 165.91/21.69  
% 165.91/21.69  ------  iProver source info
% 165.91/21.69  
% 165.91/21.69  git: date: 2024-05-02 19:28:25 +0000
% 165.91/21.69  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 165.91/21.69  git: non_committed_changes: false
% 165.91/21.69  
% 165.91/21.69  ------ Parsing...successful
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 165.91/21.69  
% 165.91/21.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 165.91/21.69  
% 165.91/21.69  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 165.91/21.69  ------ Proving...
% 165.91/21.69  ------ Problem Properties 
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  clauses                                 17
% 165.91/21.69  conjectures                             1
% 165.91/21.69  EPR                                     1
% 165.91/21.69  Horn                                    17
% 165.91/21.69  unary                                   17
% 165.91/21.69  binary                                  0
% 165.91/21.69  lits                                    17
% 165.91/21.69  lits eq                                 17
% 165.91/21.69  fd_pure                                 0
% 165.91/21.69  fd_pseudo                               0
% 165.91/21.69  fd_cond                                 0
% 165.91/21.69  fd_pseudo_cond                          0
% 165.91/21.69  AC symbols                              0
% 165.91/21.69  
% 165.91/21.69  ------ Input Options Time Limit: Unbounded
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  ------ 
% 165.91/21.69  Current options:
% 165.91/21.69  ------ 
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  ------ Proving...
% 165.91/21.69  
% 165.91/21.69  
% 165.91/21.69  % SZS status Unsatisfiable for theBenchmark.p
% 165.91/21.69  
% 165.91/21.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 165.91/21.69  
% 165.91/21.70  
%------------------------------------------------------------------------------