%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU173+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:52:15 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 61 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 20 ~; 17 |; 4 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f10,axiom,
! [X0,X1] :
( ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) )
& ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f55,conjecture,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f56,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f105,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f128,plain,
! [X0,X1] :
( ( ( element(X1,X0)
<=> in(X1,X0) )
| empty(X0) )
& ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f129,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f144,plain,
? [X0,X1] :
( ~ element(X0,powerset(X1))
& ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f178,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| in(X2,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f205,plain,
! [X0,X1] :
( empty(X0)
| ~ in(X1,X0)
| element(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f230,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f231,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f283,plain,
! [X2] :
( ~ in(X2,sK17)
| in(X2,sK18) ),
inference(cnf_transformation,[],[f144]) ).
fof(f284,plain,
~ element(sK17,powerset(sK18)),
inference(cnf_transformation,[],[f144]) ).
fof(f353,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f431,plain,
! [X2,X0] :
( ~ subset(X2,X0)
| in(X2,powerset(X0)) ),
inference(equality_resolution,[],[f201]) ).
fof(f653,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(forward_subsumption_resolution,[],[f205,f353]) ).
fof(f654,plain,
~ in(sK17,powerset(sK18)),
inference(resolution,[],[f653,f284]) ).
fof(f669,plain,
! [X0] :
( in(sK10(sK17,X0),sK18)
| subset(sK17,X0) ),
inference(resolution,[],[f230,f283]) ).
fof(f700,plain,
( subset(sK17,sK18)
| subset(sK17,sK18) ),
inference(resolution,[],[f669,f231]) ).
fof(f703,plain,
subset(sK17,sK18),
inference(duplicate_literal_removal,[],[f700]) ).
fof(f706,plain,
in(sK17,powerset(sK18)),
inference(resolution,[],[f703,f431]) ).
fof(f707,plain,
$false,
inference(forward_subsumption_resolution,[],[f706,f654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU173+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:52:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (786674)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (786679)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3142980211_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (786680)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (786680)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1932197614:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (786681)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3591605826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (786682)dis+10_1_sil=32000:sp=arity:random_seed=3298709227:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (786683)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1880707587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (786685)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=548959282:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (786684)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3535035191:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (786680) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-786674-786680"...
% 0.15/0.47 % (786680)...printing done.
% 0.15/0.47 % (786680)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (786680)------------------------------
% 0.15/0.47 % (786680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (786680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (786680)CaDiCaL version: 2.1.3
% 0.15/0.47 % (786680)Termination reason: Refutation
% 0.15/0.47 % (786680)Time elapsed: 0.013 s
% 0.15/0.47 % (786680)Peak memory usage: 12 MB
% 0.15/0.47 % (786680)Instructions burned: 16 (million)
% 0.15/0.47 % (786674)Success in time 0.052 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------