TSTP Solution File: SET788+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 15:09:51 EDT 2023
% Result : Theorem 1.96s 1.16s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 35 ( 1 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 184 ( 69 ~; 78 |; 20 &)
% ( 11 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn; 39 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X0,X1] :
( equalish(X0,X1)
<=> equalish(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X0,X1] :
( equalish(X0,X1)
<=> equalish(X1,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ( ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( equalish(X3,X4)
<=> equalish(X4,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X3,X4] :
( equalish(X3,X4)
<~> equalish(X4,X3) )
& ! [X0,X1] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X3,X4] :
( ( ~ equalish(X4,X3)
| ~ equalish(X3,X4) )
& ( equalish(X4,X3)
| equalish(X3,X4) ) )
& ! [X0,X1] :
( ( equalish(X0,X1)
| ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) ) )
& ( ! [X2] :
( ( a_member_of(X2,X0)
| ~ a_member_of(X2,X1) )
& ( a_member_of(X2,X1)
| ~ a_member_of(X2,X0) ) )
| ~ equalish(X0,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f6,plain,
( ? [X0,X1] :
( ( ~ equalish(X1,X0)
| ~ equalish(X0,X1) )
& ( equalish(X1,X0)
| equalish(X0,X1) ) )
& ! [X2,X3] :
( ( equalish(X2,X3)
| ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ equalish(X2,X3) ) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ? [X0,X1] :
( ( ~ equalish(X1,X0)
| ~ equalish(X0,X1) )
& ( equalish(X1,X0)
| equalish(X0,X1) ) )
=> ( ( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) )
& ( equalish(sK1,sK0)
| equalish(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) )
=> ( ( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) )
& ( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) )
& ( equalish(sK1,sK0)
| equalish(sK0,sK1) )
& ! [X2,X3] :
( ( equalish(X2,X3)
| ( ( ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) )
& ( a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ equalish(X2,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f10,plain,
! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ a_member_of(X5,X2)
| ~ equalish(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ a_member_of(X5,X3)
| ~ equalish(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X2,X3] :
( equalish(X2,X3)
| a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X2,X3] :
( equalish(X2,X3)
| ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( equalish(sK1,sK0)
| equalish(sK0,sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_49,negated_conjecture,
( ~ equalish(sK1,sK0)
| ~ equalish(sK0,sK1) ),
inference(cnf_transformation,[],[f15]) ).
cnf(c_50,negated_conjecture,
( equalish(sK1,sK0)
| equalish(sK0,sK1) ),
inference(cnf_transformation,[],[f14]) ).
cnf(c_51,negated_conjecture,
( ~ a_member_of(sK2(X0,X1),X0)
| ~ a_member_of(sK2(X0,X1),X1)
| equalish(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
cnf(c_52,negated_conjecture,
( a_member_of(sK2(X0,X1),X0)
| a_member_of(sK2(X0,X1),X1)
| equalish(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
cnf(c_53,negated_conjecture,
( ~ equalish(X0,X1)
| ~ a_member_of(X2,X1)
| a_member_of(X2,X0) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_54,negated_conjecture,
( ~ equalish(X0,X1)
| ~ a_member_of(X2,X0)
| a_member_of(X2,X1) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_109,plain,
( ~ a_member_of(sK2(sK0,sK1),sK1)
| ~ a_member_of(sK2(sK0,sK1),sK0)
| equalish(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_110,plain,
( a_member_of(sK2(sK0,sK1),sK1)
| a_member_of(sK2(sK0,sK1),sK0)
| equalish(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_111,plain,
( a_member_of(sK2(sK1,sK0),sK1)
| a_member_of(sK2(sK1,sK0),sK0)
| equalish(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_112,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ a_member_of(sK2(sK1,sK0),sK0)
| equalish(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_113,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ equalish(X0,sK1)
| a_member_of(sK2(sK1,sK0),X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_114,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ equalish(sK0,sK1)
| a_member_of(sK2(sK1,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_121,plain,
( ~ a_member_of(sK2(sK0,sK1),sK1)
| ~ equalish(sK1,X0)
| a_member_of(sK2(sK0,sK1),X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_122,plain,
( ~ a_member_of(sK2(sK0,sK1),sK1)
| ~ equalish(sK1,sK0)
| a_member_of(sK2(sK0,sK1),sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_123,plain,
( ~ a_member_of(sK2(sK0,sK1),X0)
| ~ equalish(X1,X0)
| a_member_of(sK2(sK0,sK1),X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_133,plain,
( ~ a_member_of(sK2(sK0,sK1),X0)
| ~ equalish(sK1,X0)
| a_member_of(sK2(sK0,sK1),sK1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_134,plain,
( ~ a_member_of(sK2(sK0,sK1),sK0)
| ~ equalish(sK1,sK0)
| a_member_of(sK2(sK0,sK1),sK1) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_144,plain,
( ~ a_member_of(sK2(sK1,sK0),sK0)
| ~ equalish(sK0,X0)
| a_member_of(sK2(sK1,sK0),X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_150,plain,
( ~ a_member_of(sK2(sK1,sK0),sK0)
| ~ equalish(sK0,sK1)
| a_member_of(sK2(sK1,sK0),sK1) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_160,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_150,c_134,c_122,c_114,c_111,c_112,c_110,c_109,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.35 % Computer : n020.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 15:48:45 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.96/1.16 % SZS status Started for theBenchmark.p
% 1.96/1.16 % SZS status Theorem for theBenchmark.p
% 1.96/1.16
% 1.96/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.96/1.16
% 1.96/1.16 ------ iProver source info
% 1.96/1.16
% 1.96/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.96/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.96/1.16 git: non_committed_changes: false
% 1.96/1.16 git: last_make_outside_of_git: false
% 1.96/1.16
% 1.96/1.16 ------ Parsing...
% 1.96/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.96/1.16
% 1.96/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.96/1.16
% 1.96/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.96/1.16 ------ Proving...
% 1.96/1.16 ------ Problem Properties
% 1.96/1.16
% 1.96/1.16
% 1.96/1.16 clauses 6
% 1.96/1.16 conjectures 6
% 1.96/1.16 EPR 4
% 1.96/1.16 Horn 4
% 1.96/1.16 unary 0
% 1.96/1.16 binary 2
% 1.96/1.16 lits 16
% 1.96/1.16 lits eq 0
% 1.96/1.16 fd_pure 0
% 1.96/1.16 fd_pseudo 0
% 1.96/1.16 fd_cond 0
% 1.96/1.16 fd_pseudo_cond 0
% 1.96/1.16 AC symbols 0
% 1.96/1.16
% 1.96/1.16 ------ Schedule dynamic 5 is on
% 1.96/1.16
% 1.96/1.16 ------ no equalities: superposition off
% 1.96/1.16
% 1.96/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.96/1.16
% 1.96/1.16
% 1.96/1.16 ------
% 1.96/1.16 Current options:
% 1.96/1.16 ------
% 1.96/1.16
% 1.96/1.16
% 1.96/1.16
% 1.96/1.16
% 1.96/1.16 ------ Proving...
% 1.96/1.16
% 1.96/1.16
% 1.96/1.16 % SZS status Theorem for theBenchmark.p
% 1.96/1.16
% 1.96/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.96/1.16
% 1.96/1.16
%------------------------------------------------------------------------------