TSTP Solution File: SEU189+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU189+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n014.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 : Sat Sep 2 00:09:09 EDT 2023
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 138 ( 57 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 151 ( 66 ~; 53 |; 20 &)
% ( 3 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 43 (; 36 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f942,plain,
$false,
inference(trivial_inequality_removal,[],[f941]) ).
fof(f941,plain,
empty_set != empty_set,
inference(superposition,[],[f934,f487]) ).
fof(f487,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f153]) ).
fof(f153,axiom,
( empty_set = relation_rng(empty_set)
& empty_set = relation_dom(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',t60_relat_1) ).
fof(f934,plain,
empty_set != relation_rng(empty_set),
inference(backward_demodulation,[],[f911,f930]) ).
fof(f930,plain,
empty_set = sK12,
inference(resolution,[],[f926,f636]) ).
fof(f636,plain,
! [X0] :
( in(sK35(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f390]) ).
fof(f390,plain,
! [X0] :
( ( empty_set = X0
| in(sK35(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f388,f389]) ).
fof(f389,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK35(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f388,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f387]) ).
fof(f387,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',d1_xboole_0) ).
fof(f926,plain,
! [X0] : ~ in(X0,sK12),
inference(resolution,[],[f922,f482]) ).
fof(f482,plain,
relation(sK12),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
( ( empty_set != relation_rng(sK12)
| empty_set != relation_dom(sK12) )
& ( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) )
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f326,f327]) ).
fof(f327,plain,
( ? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) )
=> ( ( empty_set != relation_rng(sK12)
| empty_set != relation_dom(sK12) )
& ( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) )
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(flattening,[],[f325]) ).
fof(f325,plain,
? [X0] :
( ( empty_set != relation_rng(X0)
| empty_set != relation_dom(X0) )
& ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f181,plain,
? [X0] :
( ( empty_set = relation_dom(X0)
<~> empty_set = relation_rng(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
inference(negated_conjecture,[],[f157]) ).
fof(f157,conjecture,
! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',t65_relat_1) ).
fof(f922,plain,
! [X0] :
( ~ relation(sK12)
| ~ in(X0,sK12) ),
inference(resolution,[],[f919,f587]) ).
fof(f587,plain,
empty(empty_set),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
empty(empty_set),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',fc1_xboole_0) ).
fof(f919,plain,
! [X2] :
( ~ empty(empty_set)
| ~ relation(sK12)
| ~ in(X2,sK12) ),
inference(resolution,[],[f912,f729]) ).
fof(f729,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',t7_boole) ).
fof(f912,plain,
( empty(sK12)
| ~ relation(sK12)
| ~ empty(empty_set) ),
inference(superposition,[],[f630,f907]) ).
fof(f907,plain,
empty_set = relation_dom(sK12),
inference(resolution,[],[f906,f482]) ).
fof(f906,plain,
( ~ relation(sK12)
| empty_set = relation_dom(sK12) ),
inference(resolution,[],[f905,f587]) ).
fof(f905,plain,
( ~ empty(empty_set)
| ~ relation(sK12)
| empty_set = relation_dom(sK12) ),
inference(duplicate_literal_removal,[],[f901]) ).
fof(f901,plain,
( ~ relation(sK12)
| ~ empty(empty_set)
| empty_set = relation_dom(sK12)
| empty_set = relation_dom(sK12) ),
inference(resolution,[],[f898,f810]) ).
fof(f810,plain,
! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) ),
inference(resolution,[],[f628,f625]) ).
fof(f625,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',t6_boole) ).
fof(f628,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',fc7_relat_1) ).
fof(f898,plain,
( empty(sK12)
| ~ relation(sK12)
| ~ empty(empty_set)
| empty_set = relation_dom(sK12) ),
inference(superposition,[],[f631,f483]) ).
fof(f483,plain,
( empty_set = relation_rng(sK12)
| empty_set = relation_dom(sK12) ),
inference(cnf_transformation,[],[f328]) ).
fof(f631,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',fc6_relat_1) ).
fof(f630,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.YZ9raeVZaU/Vampire---4.8_24325',fc5_relat_1) ).
fof(f911,plain,
empty_set != relation_rng(sK12),
inference(trivial_inequality_removal,[],[f910]) ).
fof(f910,plain,
( empty_set != empty_set
| empty_set != relation_rng(sK12) ),
inference(backward_demodulation,[],[f484,f907]) ).
fof(f484,plain,
( empty_set != relation_rng(sK12)
| empty_set != relation_dom(sK12) ),
inference(cnf_transformation,[],[f328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU189+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 13:57:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (24537)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24571)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (24572)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (24577)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (24573)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (24579)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.43 % (24581)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.43 % (24582)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 % (24581)First to succeed.
% 0.21/0.45 TRYING [2]
% 0.21/0.45 % (24581)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Theorem for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (24581)------------------------------
% 0.21/0.45 % (24581)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (24581)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (24581)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (24581)Memory used [KB]: 1535
% 0.21/0.45 % (24581)Time elapsed: 0.019 s
% 0.21/0.45 % (24581)------------------------------
% 0.21/0.45 % (24581)------------------------------
% 0.21/0.45 % (24537)Success in time 0.082 s
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------