TSTP Solution File: LCL237-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL237-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:37:24 EDT 2024

% Result   : Unsatisfiable 4.19s 1.19s
% Output   : CNFRefutation 4.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

cnf(c_50,plain,
    not(or(not(X0),not(X1))) = and(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).

cnf(c_53,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(c_54,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_55,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_56,plain,
    or(not(X0),X1) = implies(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(c_57,plain,
    ( ~ axiom(X0)
    | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(c_58,plain,
    ( ~ theorem(implies(X0,X1))
    | ~ theorem(X0)
    | theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(c_101,plain,
    not(implies(X0,not(X1))) = and(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_56]) ).

cnf(c_124,plain,
    ( implies(or(X0,X1),or(X1,X0)) != X2
    | theorem(X2) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).

cnf(c_125,plain,
    theorem(implies(or(X0,X1),or(X1,X0))),
    inference(unflattening,[status(thm)],[c_124]) ).

cnf(c_130,plain,
    ( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).

cnf(c_131,plain,
    theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    inference(unflattening,[status(thm)],[c_130]) ).

cnf(c_136,plain,
    ( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
    | theorem(X3) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_57]) ).

cnf(c_137,plain,
    theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    inference(unflattening,[status(thm)],[c_136]) ).

cnf(c_180,plain,
    and(p,q) = sP0_iProver_def,
    definition ).

cnf(c_181,plain,
    implies(p,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_182,plain,
    implies(q,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_183,negated_conjecture,
    ~ theorem(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_180,c_181,c_182]) ).

cnf(c_329,plain,
    theorem(implies(or(X0,not(X1)),implies(X1,X0))),
    inference(superposition,[status(thm)],[c_56,c_125]) ).

cnf(c_337,plain,
    theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
    inference(superposition,[status(thm)],[c_56,c_131]) ).

cnf(c_367,plain,
    implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
    inference(superposition,[status(thm)],[c_101,c_56]) ).

cnf(c_414,plain,
    theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(superposition,[status(thm)],[c_56,c_329]) ).

cnf(c_416,plain,
    theorem(implies(or(sP0_iProver_def,not(p)),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_181,c_329]) ).

cnf(c_441,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
    inference(superposition,[status(thm)],[c_56,c_137]) ).

cnf(c_561,plain,
    theorem(or(and(X0,X1),implies(X1,not(X0)))),
    inference(demodulation,[status(thm)],[c_414,c_367]) ).

cnf(c_562,plain,
    theorem(or(sP0_iProver_def,implies(q,not(p)))),
    inference(superposition,[status(thm)],[c_180,c_561]) ).

cnf(c_728,plain,
    theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
    inference(demodulation,[status(thm)],[c_337,c_56]) ).

cnf(c_733,plain,
    ( ~ theorem(or(X0,implies(X1,X2)))
    | theorem(implies(X1,or(X0,X2))) ),
    inference(superposition,[status(thm)],[c_728,c_58]) ).

cnf(c_1933,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_441,c_56]) ).

cnf(c_1943,plain,
    theorem(implies(implies(X0,sP1_iProver_def),implies(implies(q,X0),sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_182,c_1933]) ).

cnf(c_2246,plain,
    ( ~ theorem(implies(X0,sP1_iProver_def))
    | theorem(implies(implies(q,X0),sP2_iProver_def)) ),
    inference(superposition,[status(thm)],[c_1943,c_58]) ).

cnf(c_2564,plain,
    ( ~ theorem(implies(X0,sP1_iProver_def))
    | ~ theorem(implies(q,X0))
    | theorem(sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_2246,c_58]) ).

cnf(c_2566,plain,
    ( ~ theorem(implies(X0,sP1_iProver_def))
    | ~ theorem(implies(q,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2564,c_183]) ).

cnf(c_2585,plain,
    ~ theorem(implies(q,or(sP0_iProver_def,not(p)))),
    inference(superposition,[status(thm)],[c_416,c_2566]) ).

cnf(c_4322,plain,
    theorem(implies(q,or(sP0_iProver_def,not(p)))),
    inference(superposition,[status(thm)],[c_562,c_733]) ).

cnf(c_4348,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4322,c_2585]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL237-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 19:02:40 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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
% 4.19/1.19  % SZS status Started for theBenchmark.p
% 4.19/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.19  
% 4.19/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.19/1.19  
% 4.19/1.19  ------  iProver source info
% 4.19/1.19  
% 4.19/1.19  git: date: 2024-05-02 19:28:25 +0000
% 4.19/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.19/1.19  git: non_committed_changes: false
% 4.19/1.19  
% 4.19/1.19  ------ Parsing...successful
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  ------ Preprocessing... sup_sim: 1  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 
% 4.19/1.19  
% 4.19/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.19/1.19  
% 4.19/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.19/1.19  ------ Proving...
% 4.19/1.19  ------ Problem Properties 
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  clauses                                 12
% 4.19/1.19  conjectures                             1
% 4.19/1.19  EPR                                     1
% 4.19/1.19  Horn                                    12
% 4.19/1.19  unary                                   11
% 4.19/1.19  binary                                  0
% 4.19/1.19  lits                                    14
% 4.19/1.19  lits eq                                 5
% 4.19/1.19  fd_pure                                 0
% 4.19/1.19  fd_pseudo                               0
% 4.19/1.19  fd_cond                                 0
% 4.19/1.19  fd_pseudo_cond                          0
% 4.19/1.19  AC symbols                              0
% 4.19/1.19  
% 4.19/1.19  ------ Schedule dynamic 5 is on 
% 4.19/1.19  
% 4.19/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  ------ 
% 4.19/1.19  Current options:
% 4.19/1.19  ------ 
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  ------ Proving...
% 4.19/1.19  
% 4.19/1.19  
% 4.19/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.19  
% 4.19/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.19  
% 4.19/1.19  
%------------------------------------------------------------------------------