TSTP Solution File: NUM633+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Tue Apr 30 14:36:54 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 103 ( 27 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 127 ( 49 ~; 31 |; 37 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f753,plain,
$false,
inference(resolution,[],[f748,f389]) ).
fof(f389,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f94]) ).
fof(f94,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(f748,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(resolution,[],[f747,f357]) ).
fof(f357,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f747,plain,
( ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT) ),
inference(resolution,[],[f746,f361]) ).
fof(f361,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
fof(f746,plain,
( ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT) ),
inference(trivial_inequality_removal,[],[f745]) ).
fof(f745,plain,
( szDzizrdt0(xd) != szDzizrdt0(xd)
| ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(szDzizrdt0(xd),xT) ),
inference(superposition,[],[f354,f741]) ).
fof(f741,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xc,sK12(szDzizrdt0(xd),xO)),
inference(resolution,[],[f740,f389]) ).
fof(f740,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,sK12(X0,xO)) ),
inference(resolution,[],[f739,f357]) ).
fof(f739,plain,
! [X0] :
( ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X0,xT)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,sK12(X0,xO)) ),
inference(resolution,[],[f654,f361]) ).
fof(f654,plain,
! [X0] :
( ~ isCountable0(xO)
| ~ aSubsetOf0(xO,xS)
| ~ aElementOf0(X0,xT)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,sK12(X0,xO)) ),
inference(resolution,[],[f353,f352]) ).
fof(f352,plain,
! [X3] :
( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
| szDzizrdt0(xd) = sdtlpdtrp0(xc,X3) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(xc,sK12(X0,X1)) != X0
& aElementOf0(sK12(X0,X1),slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3)
& aElementOf0(X3,szDzozmdt0(xc))
& aSubsetOf0(X3,szNzAzT0)
& slcrc0 != X3 )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f252,f253]) ).
fof(f253,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> ( sdtlpdtrp0(xc,sK12(X0,X1)) != X0
& aElementOf0(sK12(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X3)
& aElementOf0(X3,szDzozmdt0(xc))
& aSubsetOf0(X3,szNzAzT0)
& slcrc0 != X3 )
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ! [X1] :
( ! [X2] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) != X1
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) )
| ~ aElementOf0(X1,xT) )
& ! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& slcrc0 != X0 )
| ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
~ ( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& slcrc0 != X0 ) )
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> sdtlpdtrp0(xc,X3) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,xS) )
& aElementOf0(X1,xT) ) ),
inference(rectify,[],[f100]) ).
fof(f100,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& slcrc0 != X0 ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ) ),
inference(negated_conjecture,[],[f99]) ).
fof(f99,conjecture,
( ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xO,xK))
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,szNzAzT0)
& slcrc0 != X0 ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f353,plain,
! [X0,X1] :
( aElementOf0(sK12(X0,X1),slbdtsldtrb0(X1,xK))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f254]) ).
fof(f354,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK12(X0,X1)) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 23:48:10 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (8686)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (8688)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.35 % (8689)WARNING: value z3 for option sas not known
% 0.15/0.35 % (8693)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 theBenchmark for (497ds/0Mi)
% 0.15/0.35 % (8689)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 theBenchmark for (569ds/0Mi)
% 0.15/0.35 % (8690)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.35 % (8692)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 theBenchmark for (522ds/0Mi)
% 0.15/0.35 % (8691)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 theBenchmark for (531ds/0Mi)
% 0.15/0.36 % (8687)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (8692)First to succeed.
% 0.15/0.38 % (8692)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (8692)------------------------------
% 0.15/0.38 % (8692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (8692)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (8692)Memory used [KB]: 1296
% 0.15/0.38 % (8692)Time elapsed: 0.047 s
% 0.15/0.38 % (8692)Instructions burned: 30 (million)
% 0.15/0.38 % (8692)------------------------------
% 0.15/0.38 % (8692)------------------------------
% 0.15/0.38 % (8686)Success in time 0.061 s
% 0.15/0.38 8687 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (8687)------------------------------
% 0.15/0.38 % (8687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 8693 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % (8693)------------------------------
% 0.15/0.38 % (8693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (8687)Termination reason: Unknown
% 0.15/0.38 % (8693)Termination reason: Unknown
% 0.15/0.38 % (8687)Termination phase: Finite model building preprocessing
% 0.15/0.38 % (8693)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (8687)Memory used [KB]: 1127
% 0.15/0.38 % (8693)Memory used [KB]: 1464
% 0.15/0.38 % (8687)Time elapsed: 0.020 s
% 0.15/0.38 % (8693)Time elapsed: 0.048 s
% 0.15/0.38 % (8693)Instructions burned: 29 (million)
% 0.15/0.38 % (8687)Instructions burned: 18 (million)
% 0.15/0.38 % (8693)------------------------------
% 0.15/0.38 % (8693)------------------------------
% 0.15/0.38 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 ???
% 0.15/0.38 % (8687)------------------------------
% 0.15/0.38 % (8687)------------------------------
% 0.15/0.38 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------