TSTP Solution File: LCL322-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL322-3 : TPTP v8.2.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 11:05:17 EDT 2024

% Result   : Unsatisfiable 3.42s 1.16s
% Output   : CNFRefutation 3.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ theorem(or(implies(p,q),implies(q,p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

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_110,plain,
    ( implies(X0,or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).

cnf(c_111,plain,
    theorem(implies(X0,or(X1,X0))),
    inference(unflattening,[status(thm)],[c_110]) ).

cnf(c_116,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).

cnf(c_117,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_116]) ).

cnf(c_122,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_123,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_122]) ).

cnf(c_128,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_129,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_128]) ).

cnf(c_168,plain,
    implies(p,q) = sP0_iProver_def,
    definition ).

cnf(c_169,plain,
    implies(q,p) = sP1_iProver_def,
    definition ).

cnf(c_170,plain,
    or(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_171,negated_conjecture,
    ~ theorem(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_169,c_168,c_170]) ).

cnf(c_296,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_117]) ).

cnf(c_297,plain,
    theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_55,c_111]) ).

cnf(c_298,plain,
    theorem(implies(implies(X0,X1),or(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_55,c_117]) ).

cnf(c_315,plain,
    ( ~ theorem(X0)
    | theorem(or(X1,X0)) ),
    inference(superposition,[status(thm)],[c_111,c_57]) ).

cnf(c_317,plain,
    ( ~ theorem(or(X0,or(X1,X2)))
    | theorem(or(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_123,c_57]) ).

cnf(c_350,plain,
    theorem(implies(q,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_168,c_297]) ).

cnf(c_398,plain,
    theorem(implies(implies(X0,sP1_iProver_def),implies(or(sP0_iProver_def,X0),sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_170,c_129]) ).

cnf(c_423,plain,
    theorem(implies(or(p,not(q)),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_169,c_296]) ).

cnf(c_449,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(or(X1,not(X0))) ),
    inference(superposition,[status(thm)],[c_298,c_57]) ).

cnf(c_589,plain,
    ( ~ theorem(implies(X0,sP1_iProver_def))
    | theorem(implies(or(sP0_iProver_def,X0),sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_398,c_57]) ).

cnf(c_852,plain,
    ( ~ theorem(implies(X0,sP1_iProver_def))
    | ~ theorem(or(sP0_iProver_def,X0))
    | theorem(sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_589,c_57]) ).

cnf(c_853,plain,
    ( ~ theorem(implies(X0,sP1_iProver_def))
    | ~ theorem(or(sP0_iProver_def,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_852,c_171]) ).

cnf(c_864,plain,
    ~ theorem(or(sP0_iProver_def,or(p,not(q)))),
    inference(superposition,[status(thm)],[c_423,c_853]) ).

cnf(c_1090,plain,
    ( ~ theorem(or(X0,X1))
    | theorem(or(X0,or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_315,c_317]) ).

cnf(c_1530,plain,
    ~ theorem(or(sP0_iProver_def,not(q))),
    inference(superposition,[status(thm)],[c_1090,c_864]) ).

cnf(c_1607,plain,
    ~ theorem(implies(q,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_449,c_1530]) ).

cnf(c_1608,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1607,c_350]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL322-3 : TPTP v8.2.0. Released v2.3.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Jun 22 16:25:39 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 3.42/1.16  % SZS status Started for theBenchmark.p
% 3.42/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.16  
% 3.42/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.42/1.16  
% 3.42/1.16  ------  iProver source info
% 3.42/1.16  
% 3.42/1.16  git: date: 2024-06-12 09:56:46 +0000
% 3.42/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.42/1.16  git: non_committed_changes: false
% 3.42/1.16  
% 3.42/1.16  ------ Parsing...successful
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ 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 
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.42/1.16  
% 3.42/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.42/1.16  ------ Proving...
% 3.42/1.16  ------ Problem Properties 
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  clauses                                 11
% 3.42/1.16  conjectures                             1
% 3.42/1.16  EPR                                     1
% 3.42/1.16  Horn                                    11
% 3.42/1.16  unary                                   10
% 3.42/1.16  binary                                  0
% 3.42/1.16  lits                                    13
% 3.42/1.16  lits eq                                 4
% 3.42/1.16  fd_pure                                 0
% 3.42/1.16  fd_pseudo                               0
% 3.42/1.16  fd_cond                                 0
% 3.42/1.16  fd_pseudo_cond                          0
% 3.42/1.16  AC symbols                              0
% 3.42/1.16  
% 3.42/1.16  ------ Schedule dynamic 5 is on 
% 3.42/1.16  
% 3.42/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ 
% 3.42/1.16  Current options:
% 3.42/1.16  ------ 
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  ------ Proving...
% 3.42/1.16  
% 3.42/1.16  
% 3.42/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.16  
% 3.42/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.42/1.16  
% 3.42/1.16  
%------------------------------------------------------------------------------