TSTP Solution File: SEU196+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 17:04:35 EDT 2023
% Result : Theorem 4.12s 1.15s
% Output : CNFRefutation 4.12s
% 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(f58,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f122,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/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f177,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_relat_1) ).
fof(f184,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f185,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[],[f184]) ).
fof(f228,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f280,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,[],[f122]) ).
fof(f281,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,[],[f280]) ).
fof(f330,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f338,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f501,plain,
( ? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) )
=> ( ~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58))
& relation(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f502,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58))
& relation(sK58) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57,sK58])],[f338,f501]) ).
fof(f639,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f725,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f805,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f330]) ).
fof(f812,plain,
relation(sK58),
inference(cnf_transformation,[],[f502]) ).
fof(f813,plain,
~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58)),
inference(cnf_transformation,[],[f502]) ).
cnf(c_180,plain,
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f639]) ).
cnf(c_265,plain,
( ~ subset(X0,X1)
| ~ relation(X0)
| ~ relation(X1)
| subset(relation_rng(X0),relation_rng(X1)) ),
inference(cnf_transformation,[],[f725]) ).
cnf(c_344,plain,
( ~ relation(X0)
| subset(relation_dom_restriction(X0,X1),X0) ),
inference(cnf_transformation,[],[f805]) ).
cnf(c_351,negated_conjecture,
~ subset(relation_rng(relation_dom_restriction(sK58,sK57)),relation_rng(sK58)),
inference(cnf_transformation,[],[f813]) ).
cnf(c_352,negated_conjecture,
relation(sK58),
inference(cnf_transformation,[],[f812]) ).
cnf(c_12623,plain,
( ~ subset(relation_dom_restriction(sK58,sK57),sK58)
| ~ relation(relation_dom_restriction(sK58,sK57))
| ~ relation(sK58) ),
inference(superposition,[status(thm)],[c_265,c_351]) ).
cnf(c_12871,plain,
( ~ relation(relation_dom_restriction(sK58,sK57))
| ~ subset(relation_dom_restriction(sK58,sK57),sK58) ),
inference(global_subsumption_just,[status(thm)],[c_12623,c_352,c_12623]) ).
cnf(c_12872,plain,
( ~ subset(relation_dom_restriction(sK58,sK57),sK58)
| ~ relation(relation_dom_restriction(sK58,sK57)) ),
inference(renaming,[status(thm)],[c_12871]) ).
cnf(c_12877,plain,
( ~ relation(relation_dom_restriction(sK58,sK57))
| ~ relation(sK58) ),
inference(superposition,[status(thm)],[c_344,c_12872]) ).
cnf(c_12930,plain,
( ~ subset(relation_dom_restriction(sK58,sK57),sK58)
| ~ relation(relation_dom_restriction(sK58,sK57))
| ~ relation(sK58) ),
inference(superposition,[status(thm)],[c_265,c_351]) ).
cnf(c_13318,plain,
~ relation(relation_dom_restriction(sK58,sK57)),
inference(global_subsumption_just,[status(thm)],[c_12930,c_352,c_12877]) ).
cnf(c_13320,plain,
~ relation(sK58),
inference(superposition,[status(thm)],[c_180,c_13318]) ).
cnf(c_13321,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_352,c_13320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.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 15:59:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.12/1.15 % SZS status Started for theBenchmark.p
% 4.12/1.15 % SZS status Theorem for theBenchmark.p
% 4.12/1.15
% 4.12/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.12/1.15
% 4.12/1.15 ------ iProver source info
% 4.12/1.15
% 4.12/1.15 git: date: 2023-05-31 18:12:56 +0000
% 4.12/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.12/1.15 git: non_committed_changes: false
% 4.12/1.15 git: last_make_outside_of_git: false
% 4.12/1.15
% 4.12/1.15 ------ Parsing...
% 4.12/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.12/1.15
% 4.12/1.15 ------ Preprocessing... sup_sim: 31 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.12/1.15
% 4.12/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.12/1.15
% 4.12/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.12/1.15 ------ Proving...
% 4.12/1.15 ------ Problem Properties
% 4.12/1.15
% 4.12/1.15
% 4.12/1.15 clauses 275
% 4.12/1.15 conjectures 2
% 4.12/1.15 EPR 34
% 4.12/1.15 Horn 218
% 4.12/1.15 unary 46
% 4.12/1.15 binary 95
% 4.12/1.15 lits 707
% 4.12/1.15 lits eq 151
% 4.12/1.15 fd_pure 0
% 4.12/1.15 fd_pseudo 0
% 4.12/1.15 fd_cond 13
% 4.12/1.15 fd_pseudo_cond 59
% 4.12/1.15 AC symbols 0
% 4.12/1.15
% 4.12/1.15 ------ Input Options Time Limit: Unbounded
% 4.12/1.15
% 4.12/1.15
% 4.12/1.15 ------
% 4.12/1.15 Current options:
% 4.12/1.15 ------
% 4.12/1.15
% 4.12/1.15
% 4.12/1.15
% 4.12/1.15
% 4.12/1.15 ------ Proving...
% 4.12/1.15
% 4.12/1.15
% 4.12/1.15 % SZS status Theorem for theBenchmark.p
% 4.12/1.15
% 4.12/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.12/1.16
% 4.12/1.16
%------------------------------------------------------------------------------