TSTP Solution File: SYN939+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN939+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 : 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 : Fri Sep 1 03:47:59 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 4 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 154 ( 67 ~; 56 |; 21 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 72 (; 62 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(resolution,[],[f40,f7]) ).
fof(f7,plain,
! [X4] : q(f(X4)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(sK0)
| ~ r(sK1) )
& r(X3) )
| ( ~ p(X2)
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X3) )
| ( ~ p(X2)
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) )
=> ( ! [X3,X2] :
( ~ q(X2)
| ( ( ~ r(sK0)
| ~ r(sK1) )
& r(X3) )
| ( ~ p(X2)
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X3) )
| ( ~ p(X2)
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) ),
inference(rectify,[],[f3]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X3,X4] :
( ~ q(X3)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X4) )
| ( ~ p(X3)
& p(f(X4)) ) )
& ! [X2] : q(f(X2)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( r(X4)
=> ( r(X0)
& r(X1) ) )
& ( p(f(X4))
=> p(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( r(X4)
=> ( r(X0)
& r(X1) ) )
& ( p(f(X4))
=> p(X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2d6zpEfZeV/Vampire---4.8_9627',prove_this) ).
fof(f40,plain,
! [X0] : ~ q(X0),
inference(resolution,[],[f38,f7]) ).
fof(f38,plain,
! [X0,X1] :
( ~ q(f(X1))
| ~ q(X0) ),
inference(resolution,[],[f35,f31]) ).
fof(f31,plain,
! [X0] :
( ~ p(X0)
| ~ q(X0) ),
inference(resolution,[],[f30,f28]) ).
fof(f28,plain,
! [X0] : r(X0),
inference(factoring,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( r(X0)
| r(X1) ),
inference(resolution,[],[f22,f7]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ q(X0)
| r(X1)
| r(X2) ),
inference(resolution,[],[f20,f7]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ q(f(X0))
| ~ q(X1)
| r(X0)
| r(X2) ),
inference(resolution,[],[f19,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ p(X0)
| ~ q(X0)
| r(X1) ),
inference(resolution,[],[f14,f15]) ).
fof(f15,plain,
! [X3] :
( ~ sP3
| r(X3) ),
inference(general_splitting,[],[f9,f14_D]) ).
fof(f9,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| ~ p(X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X2] :
( sP3
| ~ p(X2)
| ~ q(X2) ),
inference(cnf_transformation,[],[f14_D]) ).
fof(f14_D,plain,
( ! [X2] :
( ~ p(X2)
| ~ q(X2) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f19,plain,
! [X0,X1] :
( p(f(X0))
| r(X0)
| ~ q(X1) ),
inference(resolution,[],[f17,f16]) ).
fof(f16,plain,
! [X2] :
( sP4
| ~ q(X2) ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X3] :
( ~ sP4
| p(f(X3))
| r(X3) ),
inference(general_splitting,[],[f8,f16_D]) ).
fof(f8,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| p(f(X3)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X2] :
( ~ r(sK0)
| ~ q(X2)
| ~ p(X2) ),
inference(resolution,[],[f28,f11]) ).
fof(f11,plain,
! [X2] :
( ~ r(sK1)
| ~ r(sK0)
| ~ q(X2)
| ~ p(X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1] :
( p(f(X0))
| ~ q(X1) ),
inference(resolution,[],[f29,f28]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r(sK0)
| p(f(X0))
| ~ q(X1) ),
inference(resolution,[],[f28,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ r(sK1)
| p(f(X0))
| ~ r(sK0)
| ~ q(X1) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,plain,
! [X2] :
( sP2
| ~ q(X2) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
! [X3] :
( ~ sP2
| ~ r(sK1)
| p(f(X3))
| ~ r(sK0) ),
inference(general_splitting,[],[f10,f12_D]) ).
fof(f10,plain,
! [X2,X3] :
( ~ q(X2)
| ~ r(sK0)
| ~ r(sK1)
| p(f(X3)) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n014.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 21:07:17 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2d6zpEfZeV/Vampire---4.8_9627
% 0.16/0.37 % (9762)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (9767)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (9763)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43 % (9769)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43 % (9765)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)
% 0.23/0.43 % (9768)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43 % (9766)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43 % (9769)First to succeed.
% 0.23/0.44 % (9764)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)
% 0.23/0.44 % (9767)Also succeeded, but the first one will report.
% 0.23/0.44 % (9769)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (9769)------------------------------
% 0.23/0.44 % (9769)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (9769)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (9769)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (9769)Memory used [KB]: 895
% 0.23/0.44 % (9769)Time elapsed: 0.004 s
% 0.23/0.44 % (9769)------------------------------
% 0.23/0.44 % (9769)------------------------------
% 0.23/0.44 % (9762)Success in time 0.062 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------