TSTP Solution File: SEU161+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 17:04:15 EDT 2023
% Result : Theorem 1.61s 1.18s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 26 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 3 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn; 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f15,plain,
? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f21,plain,
( ? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) )
=> ( sK3 != set_union2(singleton(sK2),sK3)
& in(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( sK3 != set_union2(singleton(sK2),sK3)
& in(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f21]) ).
fof(f30,plain,
in(sK2,sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f31,plain,
sK3 != set_union2(singleton(sK2),sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f32,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_56,negated_conjecture,
set_union2(singleton(sK2),sK3) != sK3,
inference(cnf_transformation,[],[f31]) ).
cnf(c_57,negated_conjecture,
in(sK2,sK3),
inference(cnf_transformation,[],[f30]) ).
cnf(c_58,plain,
( ~ in(X0,X1)
| set_union2(singleton(X0),X1) = X1 ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_266,plain,
set_union2(singleton(sK2),sK3) = sK3,
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_267,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_266,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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 17:38:49 EDT 2023
% 0.13/0.34 % 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
% 1.61/1.18 % SZS status Started for theBenchmark.p
% 1.61/1.18 % SZS status Theorem for theBenchmark.p
% 1.61/1.18
% 1.61/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.61/1.18
% 1.61/1.18 ------ iProver source info
% 1.61/1.18
% 1.61/1.18 git: date: 2023-05-31 18:12:56 +0000
% 1.61/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.61/1.18 git: non_committed_changes: false
% 1.61/1.18 git: last_make_outside_of_git: false
% 1.61/1.18
% 1.61/1.18 ------ Parsing...
% 1.61/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.61/1.18
% 1.61/1.18 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.61/1.18
% 1.61/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.61/1.18
% 1.61/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.61/1.18 ------ Proving...
% 1.61/1.18 ------ Problem Properties
% 1.61/1.18
% 1.61/1.18
% 1.61/1.18 clauses 10
% 1.61/1.18 conjectures 1
% 1.61/1.18 EPR 4
% 1.61/1.18 Horn 10
% 1.61/1.18 unary 6
% 1.61/1.18 binary 4
% 1.61/1.18 lits 14
% 1.61/1.18 lits eq 4
% 1.61/1.18 fd_pure 0
% 1.61/1.18 fd_pseudo 0
% 1.61/1.18 fd_cond 0
% 1.61/1.18 fd_pseudo_cond 0
% 1.61/1.18 AC symbols 0
% 1.61/1.18
% 1.61/1.18 ------ Schedule dynamic 5 is on
% 1.61/1.18
% 1.61/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.61/1.18
% 1.61/1.18
% 1.61/1.18 ------
% 1.61/1.18 Current options:
% 1.61/1.18 ------
% 1.61/1.18
% 1.61/1.18
% 1.61/1.18
% 1.61/1.18
% 1.61/1.18 ------ Proving...
% 1.61/1.18
% 1.61/1.18
% 1.61/1.18 % SZS status Theorem for theBenchmark.p
% 1.61/1.18
% 1.61/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.61/1.18
% 1.61/1.18
%------------------------------------------------------------------------------