TSTP Solution File: SET093+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 15:06:24 EDT 2023
% Result : Theorem 2.79s 1.21s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 24 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn; 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f48,conjecture,
! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f48]) ).
fof(f92,plain,
? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f141,plain,
( ? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 )
=> ( ~ member(sK6,universal_class)
& sK6 = singleton(member_of(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ~ member(sK6,universal_class)
& sK6 = singleton(member_of(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f92,f141]) ).
fof(f154,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f234,plain,
sK6 = singleton(member_of(sK6)),
inference(cnf_transformation,[],[f142]) ).
fof(f235,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f142]) ).
fof(f276,plain,
sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
inference(definition_unfolding,[],[f234,f155]) ).
cnf(c_60,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f154]) ).
cnf(c_132,negated_conjecture,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f235]) ).
cnf(c_133,negated_conjecture,
unordered_pair(member_of(sK6),member_of(sK6)) = sK6,
inference(cnf_transformation,[],[f276]) ).
cnf(c_2478,plain,
member(sK6,universal_class),
inference(superposition,[status(thm)],[c_133,c_60]) ).
cnf(c_2479,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2478,c_132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 10:06:13 EDT 2023
% 0.12/0.34 % 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
% 2.79/1.21 % SZS status Started for theBenchmark.p
% 2.79/1.21 % SZS status Theorem for theBenchmark.p
% 2.79/1.21
% 2.79/1.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.79/1.21
% 2.79/1.21 ------ iProver source info
% 2.79/1.21
% 2.79/1.21 git: date: 2023-05-31 18:12:56 +0000
% 2.79/1.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.79/1.21 git: non_committed_changes: false
% 2.79/1.21 git: last_make_outside_of_git: false
% 2.79/1.21
% 2.79/1.21 ------ Parsing...
% 2.79/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.79/1.21
% 2.79/1.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 2.79/1.21
% 2.79/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.79/1.21
% 2.79/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.79/1.21 ------ Proving...
% 2.79/1.21 ------ Problem Properties
% 2.79/1.21
% 2.79/1.21
% 2.79/1.21 clauses 80
% 2.79/1.21 conjectures 2
% 2.79/1.21 EPR 8
% 2.79/1.21 Horn 70
% 2.79/1.21 unary 16
% 2.79/1.21 binary 43
% 2.79/1.21 lits 166
% 2.79/1.21 lits eq 19
% 2.79/1.21 fd_pure 0
% 2.79/1.21 fd_pseudo 0
% 2.79/1.21 fd_cond 4
% 2.79/1.21 fd_pseudo_cond 3
% 2.79/1.21 AC symbols 0
% 2.79/1.21
% 2.79/1.21 ------ Schedule dynamic 5 is on
% 2.79/1.21
% 2.79/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.21
% 2.79/1.21
% 2.79/1.21 ------
% 2.79/1.21 Current options:
% 2.79/1.21 ------
% 2.79/1.21
% 2.79/1.21
% 2.79/1.21
% 2.79/1.21
% 2.79/1.21 ------ Proving...
% 2.79/1.21
% 2.79/1.21
% 2.79/1.21 % SZS status Theorem for theBenchmark.p
% 2.79/1.21
% 2.79/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.21
% 2.79/1.21
%------------------------------------------------------------------------------