TSTP Solution File: SEU248+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% 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 17:05:11 EDT 2023
% Result : Theorem 7.84s 1.65s
% Output : CNFRefutation 7.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 79 ( 39 ~; 25 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 2 sgn; 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f146,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f147,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[],[f146]) ).
fof(f186,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f223,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f395,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f436,plain,
? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f147]) ).
fof(f462,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f186]) ).
fof(f512,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f223]) ).
fof(f513,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f512]) ).
fof(f809,plain,
( ? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) )
=> ( ~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80))
& relation(sK80) ) ),
introduced(choice_axiom,[]) ).
fof(f810,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80))
& relation(sK80) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f436,f809]) ).
fof(f1216,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1287,plain,
relation(sK80),
inference(cnf_transformation,[],[f810]) ).
fof(f1288,plain,
~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80)),
inference(cnf_transformation,[],[f810]) ).
fof(f1375,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1426,plain,
! [X0,X1] :
( subset(relation_dom(X0),relation_dom(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f513]) ).
cnf(c_317,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f1216]) ).
cnf(c_388,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80)),
inference(cnf_transformation,[],[f1288]) ).
cnf(c_389,negated_conjecture,
relation(sK80),
inference(cnf_transformation,[],[f1287]) ).
cnf(c_476,plain,
( ~ relation(X0)
| subset(relation_rng_restriction(X1,X0),X0) ),
inference(cnf_transformation,[],[f1375]) ).
cnf(c_528,plain,
( ~ subset(X0,X1)
| ~ relation(X0)
| ~ relation(X1)
| subset(relation_dom(X0),relation_dom(X1)) ),
inference(cnf_transformation,[],[f1426]) ).
cnf(c_35927,plain,
( ~ subset(relation_rng_restriction(sK79,sK80),sK80)
| ~ relation(relation_rng_restriction(sK79,sK80))
| ~ relation(sK80) ),
inference(superposition,[status(thm)],[c_528,c_388]) ).
cnf(c_36199,plain,
( ~ subset(relation_rng_restriction(sK79,sK80),sK80)
| ~ relation(relation_rng_restriction(sK79,sK80))
| ~ relation(sK80) ),
inference(superposition,[status(thm)],[c_528,c_388]) ).
cnf(c_36246,plain,
( ~ relation(relation_rng_restriction(sK79,sK80))
| ~ subset(relation_rng_restriction(sK79,sK80),sK80) ),
inference(global_subsumption_just,[status(thm)],[c_35927,c_389,c_35927]) ).
cnf(c_36247,plain,
( ~ subset(relation_rng_restriction(sK79,sK80),sK80)
| ~ relation(relation_rng_restriction(sK79,sK80)) ),
inference(renaming,[status(thm)],[c_36246]) ).
cnf(c_36252,plain,
( ~ relation(relation_rng_restriction(sK79,sK80))
| ~ relation(sK80) ),
inference(superposition,[status(thm)],[c_476,c_36247]) ).
cnf(c_36703,plain,
~ relation(relation_rng_restriction(sK79,sK80)),
inference(global_subsumption_just,[status(thm)],[c_36199,c_389,c_36252]) ).
cnf(c_36705,plain,
~ relation(sK80),
inference(superposition,[status(thm)],[c_317,c_36703]) ).
cnf(c_36706,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_389,c_36705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.09/0.32 % Computer : n019.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Wed Aug 23 18:07:14 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.84/1.65 % SZS status Started for theBenchmark.p
% 7.84/1.65 % SZS status Theorem for theBenchmark.p
% 7.84/1.65
% 7.84/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.84/1.65
% 7.84/1.65 ------ iProver source info
% 7.84/1.65
% 7.84/1.65 git: date: 2023-05-31 18:12:56 +0000
% 7.84/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.84/1.65 git: non_committed_changes: false
% 7.84/1.65 git: last_make_outside_of_git: false
% 7.84/1.65
% 7.84/1.65 ------ Parsing...
% 7.84/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.84/1.65
% 7.84/1.65 ------ Preprocessing... sup_sim: 55 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 7.84/1.65
% 7.84/1.65 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.84/1.65
% 7.84/1.65 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 7.84/1.65 ------ Proving...
% 7.84/1.65 ------ Problem Properties
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 clauses 542
% 7.84/1.65 conjectures 2
% 7.84/1.65 EPR 84
% 7.84/1.65 Horn 418
% 7.84/1.65 unary 82
% 7.84/1.65 binary 143
% 7.84/1.65 lits 1570
% 7.84/1.65 lits eq 258
% 7.84/1.65 fd_pure 0
% 7.84/1.65 fd_pseudo 0
% 7.84/1.65 fd_cond 21
% 7.84/1.65 fd_pseudo_cond 96
% 7.84/1.65 AC symbols 0
% 7.84/1.65
% 7.84/1.65 ------ Input Options Time Limit: Unbounded
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 ------
% 7.84/1.65 Current options:
% 7.84/1.65 ------
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 ------ Proving...
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 % SZS status Theorem for theBenchmark.p
% 7.84/1.65
% 7.84/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.84/1.65
% 7.84/1.65
%------------------------------------------------------------------------------