%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET933+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:42:22 PM UTC 2026
% Result : Theorem 3.64s 1.49s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 57 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 24 |; 10 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 29 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f6,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f7,conjecture,
! [X0] : subset(singleton(X0),powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0] : subset(singleton(X0),powerset(X0)),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f6]) ).
fof(f11,plain,
? [X0] : ~ subset(singleton(X0),powerset(X0)),
inference(ennf_transformation,[],[f8]) ).
fof(f12,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK0(X0,X1),X0)
| ~ in(sK0(X0,X1),X1) )
& ( subset(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f18,plain,
~ subset(singleton(sK3),powerset(sK3)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f11]) ).
fof(f21,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
~ subset(singleton(sK3),powerset(sK3)),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f21]) ).
fof(f32,plain,
~ in(sK3,powerset(sK3)),
inference(resolution,[],[f25,f29]) ).
fof(f34,plain,
~ subset(sK3,sK3),
inference(resolution,[],[f30,f32]) ).
fof(f35,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET933+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n020.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 03:16:31 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/1.49 % (3991525)Detected formulas, will run a generic FOF schedule.
% 3.64/1.49 % (3991530)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3416013720:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.64/1.49 % (3991532)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1525592319:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.64/1.49 % (3991533)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2321040270:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.64/1.49 % (3991531)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3946438968:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.64/1.49 % (3991533)Refutation not found, incomplete strategy
% 3.64/1.49 % (3991533)------------------------------
% 3.64/1.49 % (3991533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3991533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3991533)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3991533)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.49 % (3991533)Time elapsed: 0.001 s
% 3.64/1.49 % (3991533)Peak memory usage: 87 MB
% 3.64/1.49 % (3991534)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1949034796:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.64/1.49 % (3991536)dis-21_1_sil=8000:lcm=predicate:random_seed=162055481:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.64/1.49 % (3991535)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1934565836:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.64/1.49 % (3991534)Refutation not found, incomplete strategy
% 3.64/1.49 % (3991534)------------------------------
% 3.64/1.49 % (3991534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3991534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3991534)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3991534)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.49 % (3991534)Time elapsed: 0.001 s
% 3.64/1.49 % (3991534)Peak memory usage: 87 MB
% 3.64/1.49 % (3991536)Also succeeded, but the first one will report.
% 3.64/1.49 % (3991535)First to succeed.
% 3.64/1.49 % (3991535)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3991525"
% 3.64/1.49 % (3991533)------------------------------
% 3.64/1.49 % (3991533)------------------------------
% 3.64/1.49 % (3991534)------------------------------
% 3.64/1.49 % (3991534)------------------------------
% 3.64/1.49 % (3991535)Refutation found. Thanks to Tanya!
% 3.64/1.49 % SZS status Theorem for theBenchmark
% 3.64/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.49 % (3991535)------------------------------
% 3.64/1.49 % (3991535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3991535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3991535)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3991535)Termination reason: Refutation
% 3.64/1.49 % (3991535)Time elapsed: 0.002 s
% 3.64/1.49 % (3991535)Peak memory usage: 88 MB
% 3.64/1.49 % (3991535)Instructions burned: 1 (million)
% 3.64/1.49 % (3991535)------------------------------
% 3.64/1.49 % (3991535)------------------------------
% 3.64/1.49 % (3991525)Success in time 0.435 s
% 3.64/1.49 % Vampire exiting
%------------------------------------------------------------------------------