TSTP Solution File: SET987+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 15:10:56 EDT 2023
% Result : Theorem 1.68s 1.12s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 32 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 3 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 24 ( 0 sgn; 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,conjecture,
! [X0,X1] :
( ~ in(X0,X1)
=> set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t141_zfmisc_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X0,X1)
=> set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f11,axiom,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f13,plain,
! [X0,X1] :
( ~ in(X1,X0)
=> set_difference(X0,singleton(X1)) = X0 ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f17,plain,
? [X0,X1] :
( set_difference(set_union2(X1,singleton(X0)),singleton(X0)) != X1
& ~ in(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f18,plain,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f23,plain,
( ? [X0,X1] :
( set_difference(set_union2(X1,singleton(X0)),singleton(X0)) != X1
& ~ in(X0,X1) )
=> ( sK3 != set_difference(set_union2(sK3,singleton(sK2)),singleton(sK2))
& ~ in(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( sK3 != set_difference(set_union2(sK3,singleton(sK2)),singleton(sK2))
& ~ in(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f17,f23]) ).
fof(f32,plain,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
sK3 != set_difference(set_union2(sK3,singleton(sK2)),singleton(sK2)),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_56,negated_conjecture,
set_difference(set_union2(sK3,singleton(sK2)),singleton(sK2)) != sK3,
inference(cnf_transformation,[],[f33]) ).
cnf(c_57,negated_conjecture,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f32]) ).
cnf(c_58,plain,
set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
inference(cnf_transformation,[],[f34]) ).
cnf(c_59,plain,
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_110,plain,
set_difference(sK3,singleton(sK2)) != sK3,
inference(demodulation,[status(thm)],[c_56,c_58]) ).
cnf(c_278,plain,
set_difference(sK3,singleton(sK2)) = sK3,
inference(superposition,[status(thm)],[c_59,c_57]) ).
cnf(c_279,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_278,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat Aug 26 11:57:56 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.68/1.12 % SZS status Started for theBenchmark.p
% 1.68/1.12 % SZS status Theorem for theBenchmark.p
% 1.68/1.12
% 1.68/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.68/1.12
% 1.68/1.12 ------ iProver source info
% 1.68/1.12
% 1.68/1.12 git: date: 2023-05-31 18:12:56 +0000
% 1.68/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.68/1.12 git: non_committed_changes: false
% 1.68/1.12 git: last_make_outside_of_git: false
% 1.68/1.12
% 1.68/1.12 ------ Parsing...
% 1.68/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.68/1.12
% 1.68/1.12 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.68/1.12
% 1.68/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.68/1.12
% 1.68/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.68/1.12 ------ Proving...
% 1.68/1.12 ------ Problem Properties
% 1.68/1.12
% 1.68/1.12
% 1.68/1.12 clauses 11
% 1.68/1.12 conjectures 1
% 1.68/1.12 EPR 4
% 1.68/1.12 Horn 10
% 1.68/1.12 unary 7
% 1.68/1.12 binary 4
% 1.68/1.12 lits 15
% 1.68/1.12 lits eq 5
% 1.68/1.12 fd_pure 0
% 1.68/1.12 fd_pseudo 0
% 1.68/1.12 fd_cond 0
% 1.68/1.12 fd_pseudo_cond 0
% 1.68/1.12 AC symbols 0
% 1.68/1.12
% 1.68/1.12 ------ Schedule dynamic 5 is on
% 1.68/1.12
% 1.68/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.68/1.12
% 1.68/1.12
% 1.68/1.12 ------
% 1.68/1.12 Current options:
% 1.68/1.12 ------
% 1.68/1.12
% 1.68/1.12
% 1.68/1.12
% 1.68/1.12
% 1.68/1.12 ------ Proving...
% 1.68/1.12
% 1.68/1.12
% 1.68/1.12 % SZS status Theorem for theBenchmark.p
% 1.68/1.12
% 1.68/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.12
% 1.68/1.12
%------------------------------------------------------------------------------