TSTP Solution File: LCL211-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL211-3 : TPTP v8.2.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 11:04:45 EDT 2024

% Result   : Unsatisfiable 8.10s 1.68s
% Output   : CNFRefutation 8.10s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(implies(not(q),implies(or(p,q),p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(c_51,plain,
    axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(c_52,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_53,plain,
    axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(c_54,plain,
    axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(c_55,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_56,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_57,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_105,plain,
    ( implies(or(X0,X0),X0) != X1
    | theorem(X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).

cnf(c_106,plain,
    theorem(implies(or(X0,X0),X0)),
    inference(unflattening,[status(thm)],[c_105]) ).

cnf(c_111,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_112,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_111]) ).

cnf(c_117,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_118,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_117]) ).

cnf(c_123,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).

cnf(c_124,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_123]) ).

cnf(c_129,plain,
    ( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).

cnf(c_130,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_129]) ).

cnf(c_170,plain,
    not(q) = sP0_iProver_def,
    definition ).

cnf(c_171,plain,
    or(p,q) = sP1_iProver_def,
    definition ).

cnf(c_172,plain,
    implies(sP1_iProver_def,p) = sP2_iProver_def,
    definition ).

cnf(c_173,plain,
    implies(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_174,negated_conjecture,
    ~ theorem(sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_171,c_172,c_170,c_173]) ).

cnf(c_306,plain,
    theorem(implies(sP1_iProver_def,or(q,p))),
    inference(superposition,[status(thm)],[c_171,c_118]) ).

cnf(c_308,plain,
    or(sP0_iProver_def,X0) = implies(q,X0),
    inference(superposition,[status(thm)],[c_170,c_55]) ).

cnf(c_310,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_118]) ).

cnf(c_322,plain,
    ( ~ theorem(or(X0,X0))
    | theorem(X0) ),
    inference(superposition,[status(thm)],[c_106,c_57]) ).

cnf(c_324,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_118,c_57]) ).

cnf(c_401,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_55,c_124]) ).

cnf(c_454,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_310]) ).

cnf(c_457,plain,
    theorem(implies(or(sP2_iProver_def,not(sP0_iProver_def)),sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_173,c_310]) ).

cnf(c_477,plain,
    ( ~ theorem(or(sP2_iProver_def,not(sP0_iProver_def)))
    | theorem(sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_457,c_57]) ).

cnf(c_478,plain,
    ~ theorem(or(sP2_iProver_def,not(sP0_iProver_def))),
    inference(forward_subsumption_resolution,[status(thm)],[c_477,c_174]) ).

cnf(c_508,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(or(X2,X0),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_130,c_57]) ).

cnf(c_659,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_401,c_55]) ).

cnf(c_664,plain,
    theorem(implies(implies(sP1_iProver_def,or(X0,p)),or(X0,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_172,c_659]) ).

cnf(c_667,plain,
    ( ~ theorem(implies(X0,or(X1,X2)))
    | theorem(or(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_659,c_57]) ).

cnf(c_727,plain,
    ( ~ theorem(implies(X0,not(X1)))
    | theorem(implies(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_454,c_57]) ).

cnf(c_871,plain,
    ( ~ theorem(implies(sP1_iProver_def,or(X0,p)))
    | theorem(or(X0,sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_664,c_57]) ).

cnf(c_1783,plain,
    ( ~ theorem(or(X0,X1))
    | ~ theorem(implies(X1,X2))
    | theorem(or(X0,X2)) ),
    inference(superposition,[status(thm)],[c_508,c_57]) ).

cnf(c_1803,plain,
    theorem(or(q,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_306,c_871]) ).

cnf(c_1847,plain,
    theorem(or(sP2_iProver_def,q)),
    inference(superposition,[status(thm)],[c_1803,c_324]) ).

cnf(c_2441,plain,
    theorem(or(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_112,c_667]) ).

cnf(c_2711,plain,
    theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_2441,c_322]) ).

cnf(c_2720,plain,
    theorem(implies(X0,not(not(X0)))),
    inference(superposition,[status(thm)],[c_2711,c_727]) ).

cnf(c_2873,plain,
    theorem(or(sP0_iProver_def,not(not(q)))),
    inference(superposition,[status(thm)],[c_308,c_2720]) ).

cnf(c_2879,plain,
    theorem(or(sP0_iProver_def,not(sP0_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_2873,c_170]) ).

cnf(c_6844,plain,
    ( ~ theorem(implies(q,X0))
    | theorem(or(sP2_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_1847,c_1783]) ).

cnf(c_6927,plain,
    ( ~ theorem(or(sP0_iProver_def,X0))
    | theorem(or(sP2_iProver_def,X0)) ),
    inference(light_normalisation,[status(thm)],[c_6844,c_308]) ).

cnf(c_17115,plain,
    theorem(or(sP2_iProver_def,not(sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_2879,c_6927]) ).

cnf(c_17149,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_17115,c_478]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL211-3 : TPTP v8.2.0. Released v2.3.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n026.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 : Sat Jun 22 11:18:24 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.23/0.49  Running first-order theorem proving
% 0.23/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.10/1.68  % SZS status Started for theBenchmark.p
% 8.10/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.10/1.68  
% 8.10/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.10/1.68  
% 8.10/1.68  ------  iProver source info
% 8.10/1.68  
% 8.10/1.68  git: date: 2024-06-12 09:56:46 +0000
% 8.10/1.68  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.10/1.68  git: non_committed_changes: false
% 8.10/1.68  
% 8.10/1.68  ------ Parsing...successful
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 8.10/1.68  
% 8.10/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.10/1.68  
% 8.10/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.10/1.68  ------ Proving...
% 8.10/1.68  ------ Problem Properties 
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  clauses                                 12
% 8.10/1.68  conjectures                             1
% 8.10/1.68  EPR                                     1
% 8.10/1.68  Horn                                    12
% 8.10/1.68  unary                                   11
% 8.10/1.68  binary                                  0
% 8.10/1.68  lits                                    14
% 8.10/1.68  lits eq                                 5
% 8.10/1.68  fd_pure                                 0
% 8.10/1.68  fd_pseudo                               0
% 8.10/1.68  fd_cond                                 0
% 8.10/1.68  fd_pseudo_cond                          0
% 8.10/1.68  AC symbols                              0
% 8.10/1.68  
% 8.10/1.68  ------ Schedule dynamic 5 is on 
% 8.10/1.68  
% 8.10/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  ------ 
% 8.10/1.68  Current options:
% 8.10/1.68  ------ 
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  ------ Proving...
% 8.10/1.68  
% 8.10/1.68  
% 8.10/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 8.10/1.68  
% 8.10/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.10/1.68  
% 8.10/1.69  
%------------------------------------------------------------------------------