TSTP Solution File: SYN980+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n032.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 03:48:10 EDT 2023
% Result : Theorem 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 71 ( 25 ~; 15 |; 18 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 38 (; 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(subsumption_resolution,[],[f14,f15]) ).
fof(f15,plain,
r(sK0),
inference(resolution,[],[f13,f8]) ).
fof(f8,plain,
! [X3] :
( p(f(X3),X3)
| r(sK0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(sK0),sK0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r(X3)
& r(sK0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(X0),X0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r(X3)
& r(X0) ) ) )
=> ( ! [X2,X1] :
( ( ~ q(X1,X2)
& q(f(sK0),sK0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r(X3)
& r(sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0] :
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(X0),X0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r(X3)
& r(X0) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
? [X0] :
( ! [X2,X3] :
( ( ~ q(X2,X3)
& q(f(X0),X0) )
| ~ p(X2,X3) )
& ! [X1] :
( p(f(X1),X1)
| ( ~ r(X1)
& r(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0] :
( ! [X1] :
( ( r(X0)
=> r(X1) )
=> p(f(X1),X1) )
=> ? [X2,X3] :
( ( q(f(X0),X0)
=> q(X2,X3) )
& p(X2,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ( r(X0)
=> r(X1) )
=> p(f(X1),X1) )
=> ? [X2,X1] :
( ( q(f(X0),X0)
=> q(X2,X1) )
& p(X2,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ! [X1] :
( ( r(X0)
=> r(X1) )
=> p(f(X1),X1) )
=> ? [X2,X1] :
( ( q(f(X0),X0)
=> q(X2,X1) )
& p(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.VvcmWmPoRZ/Vampire---4.8_18480',prove_this) ).
fof(f13,plain,
~ p(f(sK0),sK0),
inference(condensation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ~ p(X0,X1)
| ~ p(f(sK0),sK0) ),
inference(resolution,[],[f10,f11]) ).
fof(f11,plain,
! [X2,X1] :
( ~ q(X1,X2)
| ~ p(X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2,X1] :
( q(f(sK0),sK0)
| ~ p(X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
~ r(sK0),
inference(resolution,[],[f13,f9]) ).
fof(f9,plain,
! [X3] :
( p(f(X3),X3)
| ~ r(X3) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 17:25:44 EDT 2023
% 0.15/0.30 % CPUTime :
% 0.15/0.30 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.31 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.VvcmWmPoRZ/Vampire---4.8_18480
% 0.15/0.31 % (18630)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.34 % (18632)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.15/0.34 % (18633)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.15/0.34 % (18632)First to succeed.
% 0.15/0.34 % (18633)Also succeeded, but the first one will report.
% 0.15/0.35 % (18632)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Theorem for Vampire---4
% 0.15/0.35 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.35 % (18632)------------------------------
% 0.15/0.35 % (18632)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.35 % (18632)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.35 % (18632)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (18632)Memory used [KB]: 895
% 0.15/0.35 % (18632)Time elapsed: 0.002 s
% 0.15/0.35 % (18632)------------------------------
% 0.15/0.35 % (18632)------------------------------
% 0.15/0.35 % (18630)Success in time 0.037 s
% 0.15/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------