TSTP Solution File: SEU382+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 17:06:46 EDT 2023
% Result : Theorem 10.39s 2.17s
% Output : CNFRefutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 19 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 9 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn; 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f534,axiom,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f672,axiom,
! [X0] :
( inclusion_order(X0) = the_InternalRel(incl_POSet(X0))
& the_carrier(incl_POSet(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).
fof(f777,conjecture,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f778,negated_conjecture,
~ ! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(negated_conjecture,[],[f777]) ).
fof(f781,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f1863,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f778]) ).
fof(f3287,plain,
( ? [X0] : powerset(X0) != the_carrier(boole_POSet(X0))
=> powerset(sK607) != the_carrier(boole_POSet(sK607)) ),
introduced(choice_axiom,[]) ).
fof(f3288,plain,
powerset(sK607) != the_carrier(boole_POSet(sK607)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK607])],[f1863,f3287]) ).
fof(f3925,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f159]) ).
fof(f5110,plain,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f534]) ).
fof(f5772,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[],[f672]) ).
fof(f5958,plain,
powerset(sK607) != the_carrier(boole_POSet(sK607)),
inference(cnf_transformation,[],[f3288]) ).
fof(f5962,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f781]) ).
fof(f6899,plain,
k1_pcomps_1(sK607) != the_carrier(poset_of_lattice(boole_lattice(sK607))),
inference(definition_unfolding,[],[f5958,f5110,f3925]) ).
fof(f6903,plain,
! [X0] : poset_of_lattice(boole_lattice(X0)) = incl_POSet(k1_pcomps_1(X0)),
inference(definition_unfolding,[],[f5962,f3925,f5110]) ).
cnf(c_2426,plain,
the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[],[f5772]) ).
cnf(c_2610,negated_conjecture,
the_carrier(poset_of_lattice(boole_lattice(sK607))) != k1_pcomps_1(sK607),
inference(cnf_transformation,[],[f6899]) ).
cnf(c_2614,plain,
incl_POSet(k1_pcomps_1(X0)) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f6903]) ).
cnf(c_27355,plain,
k1_pcomps_1(sK607) != k1_pcomps_1(sK607),
inference(demodulation,[status(thm)],[c_2610,c_2426,c_2614]) ).
cnf(c_27356,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_27355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU382+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 22:37:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.39/2.17 % SZS status Started for theBenchmark.p
% 10.39/2.17 % SZS status Theorem for theBenchmark.p
% 10.39/2.17
% 10.39/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.39/2.17
% 10.39/2.17 ------ iProver source info
% 10.39/2.17
% 10.39/2.17 git: date: 2023-05-31 18:12:56 +0000
% 10.39/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.39/2.17 git: non_committed_changes: false
% 10.39/2.17 git: last_make_outside_of_git: false
% 10.39/2.17
% 10.39/2.17 ------ Parsing...
% 10.39/2.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.39/2.17
% 10.39/2.17 ------ Preprocessing...
% 10.39/2.17
% 10.39/2.17 % SZS status Theorem for theBenchmark.p
% 10.39/2.17
% 10.39/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.39/2.17
% 10.39/2.17
%------------------------------------------------------------------------------