TSTP Solution File: SYN966+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Fri Sep 1 03:14:58 EDT 2023
% Result : Theorem 1.48s 1.20s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 125 ( 47 ~; 45 |; 21 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% 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 : 57 ( 0 sgn; 34 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) )
=> ! [X3,X4] :
( eq(X3,X4)
=> eq(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( eq(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X0)
<=> a_member_of(X2,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ? [X3,X4] :
( ~ eq(X4,X3)
& eq(X3,X4) )
& ! [X0,X1] :
( ( eq(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) ) )
| ~ eq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
& ! [X2,X3] :
( ( eq(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) ) )
| ~ eq(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
=> ( ~ eq(sK1,sK0)
& eq(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f7,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(f8,plain,
( ~ eq(sK1,sK0)
& eq(sK0,sK1)
& ! [X2,X3] :
( ( eq(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) ) )
| ~ eq(X2,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f7,f6]) ).
fof(f9,plain,
! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ a_member_of(X5,X2)
| ~ eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f10,plain,
! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ a_member_of(X5,X3)
| ~ eq(X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X2,X3] :
( eq(X2,X3)
| a_member_of(sK2(X2,X3),X3)
| a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK2(X2,X3),X3)
| ~ a_member_of(sK2(X2,X3),X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
eq(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
~ eq(sK1,sK0),
inference(cnf_transformation,[],[f8]) ).
cnf(c_49,negated_conjecture,
~ eq(sK1,sK0),
inference(cnf_transformation,[],[f14]) ).
cnf(c_50,negated_conjecture,
eq(sK0,sK1),
inference(cnf_transformation,[],[f13]) ).
cnf(c_51,negated_conjecture,
( ~ a_member_of(sK2(X0,X1),X0)
| ~ a_member_of(sK2(X0,X1),X1)
| eq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
cnf(c_52,negated_conjecture,
( a_member_of(sK2(X0,X1),X0)
| a_member_of(sK2(X0,X1),X1)
| eq(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_53,negated_conjecture,
( ~ eq(X0,X1)
| ~ a_member_of(X2,X1)
| a_member_of(X2,X0) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_54,negated_conjecture,
( ~ eq(X0,X1)
| ~ a_member_of(X2,X0)
| a_member_of(X2,X1) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_137,plain,
( a_member_of(sK2(sK1,sK0),sK1)
| a_member_of(sK2(sK1,sK0),sK0) ),
inference(resolution,[status(thm)],[c_49,c_52]) ).
cnf(c_144,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ a_member_of(sK2(sK1,sK0),sK0) ),
inference(resolution,[status(thm)],[c_49,c_51]) ).
cnf(c_151,plain,
( ~ a_member_of(X0,sK0)
| a_member_of(X0,sK1) ),
inference(resolution,[status(thm)],[c_50,c_54]) ).
cnf(c_158,plain,
a_member_of(sK2(sK1,sK0),sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_137,c_151]) ).
cnf(c_193,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ eq(X0,sK1)
| a_member_of(sK2(sK1,sK0),X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_194,plain,
( ~ a_member_of(sK2(sK1,sK0),sK1)
| ~ eq(sK0,sK1)
| a_member_of(sK2(sK1,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_193]) ).
cnf(c_195,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_194,c_158,c_144,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n009.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 18:39:35 EDT 2023
% 0.12/0.34 % 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
% 1.48/1.20 % SZS status Started for theBenchmark.p
% 1.48/1.20 % SZS status Theorem for theBenchmark.p
% 1.48/1.20
% 1.48/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.48/1.20
% 1.48/1.20 ------ iProver source info
% 1.48/1.20
% 1.48/1.20 git: date: 2023-05-31 18:12:56 +0000
% 1.48/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.48/1.20 git: non_committed_changes: false
% 1.48/1.20 git: last_make_outside_of_git: false
% 1.48/1.20
% 1.48/1.20 ------ Parsing...
% 1.48/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.48/1.20
% 1.48/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 1.48/1.20
% 1.48/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.48/1.20 ------ Proving...
% 1.48/1.20 ------ Problem Properties
% 1.48/1.20
% 1.48/1.20
% 1.48/1.20 clauses 6
% 1.48/1.20 conjectures 6
% 1.48/1.20 EPR 4
% 1.48/1.20 Horn 5
% 1.48/1.20 unary 2
% 1.48/1.20 binary 0
% 1.48/1.20 lits 14
% 1.48/1.20 lits eq 0
% 1.48/1.20 fd_pure 0
% 1.48/1.20 fd_pseudo 0
% 1.48/1.20 fd_cond 0
% 1.48/1.20 fd_pseudo_cond 0
% 1.48/1.20 AC symbols 0
% 1.48/1.20
% 1.48/1.20 ------ Schedule dynamic 5 is on
% 1.48/1.20
% 1.48/1.20 ------ no equalities: superposition off
% 1.48/1.20
% 1.48/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.48/1.20
% 1.48/1.20
% 1.48/1.20 ------
% 1.48/1.20 Current options:
% 1.48/1.20 ------
% 1.48/1.20
% 1.48/1.20
% 1.48/1.20
% 1.48/1.20
% 1.48/1.20 ------ Proving...
% 1.48/1.20
% 1.48/1.20
% 1.48/1.20 % SZS status Theorem for theBenchmark.p
% 1.48/1.20
% 1.48/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.48/1.20
% 1.48/1.20
%------------------------------------------------------------------------------