TSTP Solution File: LCL194-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 : Thu Aug 31 07:43:03 EDT 2023

% Result   : Unsatisfiable 127.47s 17.82s
% Output   : CNFRefutation 127.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   33 (  17 unt;   0 nHn;  19 RR)
%            Number of literals    :   54 (   4 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn)

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

cnf(c_52,plain,
    axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

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

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

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

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_585,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_55,c_123]) ).

cnf(c_611,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
    inference(superposition,[status(thm)],[c_55,c_129]) ).

cnf(c_646,plain,
    theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_585,c_55]) ).

cnf(c_647,plain,
    theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_55,c_646]) ).

cnf(c_739,plain,
    theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(demodulation,[status(thm)],[c_611,c_55]) ).

cnf(c_740,plain,
    ( ~ theorem(implies(X0,X1))
    | theorem(implies(implies(X2,X0),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_739,c_57]) ).

cnf(c_1499,plain,
    theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(demodulation,[status(thm)],[c_647,c_55]) ).

cnf(c_1500,plain,
    ( ~ theorem(implies(X0,implies(X1,X2)))
    | theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_1499,c_57]) ).

cnf(c_183323,plain,
    ( ~ theorem(implies(implies(X0,X1),X2))
    | ~ theorem(implies(X0,X1))
    | theorem(X2) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_184607,plain,
    ( ~ theorem(implies(or(q,p),implies(implies(q,r),or(p,r))))
    | theorem(implies(implies(q,r),implies(or(q,p),or(p,r)))) ),
    inference(instantiation,[status(thm)],[c_1500]) ).

cnf(c_185935,plain,
    ( ~ theorem(implies(implies(X0,X1),implies(X0,X2)))
    | ~ theorem(implies(X0,X1))
    | theorem(implies(X0,X2)) ),
    inference(instantiation,[status(thm)],[c_183323]) ).

cnf(c_189526,plain,
    ( ~ theorem(implies(implies(q,r),implies(X0,or(p,r))))
    | theorem(implies(X0,implies(implies(q,r),or(p,r)))) ),
    inference(instantiation,[status(thm)],[c_1500]) ).

cnf(c_197673,plain,
    ( ~ theorem(implies(implies(q,r),implies(or(p,q),or(p,r))))
    | theorem(implies(or(p,q),implies(implies(q,r),or(p,r)))) ),
    inference(instantiation,[status(thm)],[c_189526]) ).

cnf(c_197674,plain,
    theorem(implies(implies(q,r),implies(or(p,q),or(p,r)))),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_206006,plain,
    ( ~ theorem(implies(or(X0,X1),X2))
    | theorem(implies(implies(or(X1,X0),or(X0,X1)),implies(or(X1,X0),X2))) ),
    inference(instantiation,[status(thm)],[c_740]) ).

cnf(c_251907,plain,
    ( ~ theorem(implies(implies(or(q,p),X0),implies(or(q,p),implies(implies(q,r),or(p,r)))))
    | ~ theorem(implies(or(q,p),X0))
    | theorem(implies(or(q,p),implies(implies(q,r),or(p,r)))) ),
    inference(instantiation,[status(thm)],[c_185935]) ).

cnf(c_252849,plain,
    ( ~ theorem(implies(implies(or(q,p),or(p,q)),implies(or(q,p),implies(implies(q,r),or(p,r)))))
    | ~ theorem(implies(or(q,p),or(p,q)))
    | theorem(implies(or(q,p),implies(implies(q,r),or(p,r)))) ),
    inference(instantiation,[status(thm)],[c_251907]) ).

cnf(c_252850,plain,
    theorem(implies(or(q,p),or(p,q))),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_442464,plain,
    ( ~ theorem(implies(or(p,q),implies(implies(q,r),or(p,r))))
    | theorem(implies(implies(or(q,p),or(p,q)),implies(or(q,p),implies(implies(q,r),or(p,r))))) ),
    inference(instantiation,[status(thm)],[c_206006]) ).

cnf(c_442466,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_442464,c_252850,c_252849,c_197674,c_197673,c_184607,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n013.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Fri Aug 25 04:02:17 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 127.47/17.82  % SZS status Started for theBenchmark.p
% 127.47/17.82  % SZS status Unsatisfiable for theBenchmark.p
% 127.47/17.82  
% 127.47/17.82  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 127.47/17.82  
% 127.47/17.82  ------  iProver source info
% 127.47/17.82  
% 127.47/17.82  git: date: 2023-05-31 18:12:56 +0000
% 127.47/17.82  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 127.47/17.82  git: non_committed_changes: false
% 127.47/17.82  git: last_make_outside_of_git: false
% 127.47/17.82  
% 127.47/17.82  ------ Parsing...successful
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  ------ 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 
% 127.47/17.82  
% 127.47/17.82  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 127.47/17.82  
% 127.47/17.82  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 127.47/17.82  ------ Proving...
% 127.47/17.82  ------ Problem Properties 
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  clauses                                 8
% 127.47/17.82  conjectures                             1
% 127.47/17.82  EPR                                     0
% 127.47/17.82  Horn                                    8
% 127.47/17.82  unary                                   7
% 127.47/17.82  binary                                  0
% 127.47/17.82  lits                                    10
% 127.47/17.82  lits eq                                 1
% 127.47/17.82  fd_pure                                 0
% 127.47/17.82  fd_pseudo                               0
% 127.47/17.82  fd_cond                                 0
% 127.47/17.82  fd_pseudo_cond                          0
% 127.47/17.82  AC symbols                              0
% 127.47/17.82  
% 127.47/17.82  ------ Input Options Time Limit: Unbounded
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  ------ 
% 127.47/17.82  Current options:
% 127.47/17.82  ------ 
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  ------ Proving...
% 127.47/17.82  
% 127.47/17.82  
% 127.47/17.82  % SZS status Unsatisfiable for theBenchmark.p
% 127.47/17.82  
% 127.47/17.82  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 127.47/17.82  
% 127.47/17.82  
%------------------------------------------------------------------------------