%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU121+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:51:58 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 10 ~; 12 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X0,X1)
& subset(X1,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X0,X1)
& subset(X1,X2) ),
inference(flattening,[],[f16]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| in(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f30,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
~ subset(sK3,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ subset(X0,X2)
| in(sK0(X0,X1),X2)
| subset(X0,X1) ),
inference(resolution,[],[f22,f23]) ).
fof(f48,plain,
! [X0] :
( in(sK0(sK3,X0),sK4)
| subset(sK3,X0) ),
inference(resolution,[],[f45,f30]) ).
fof(f65,plain,
! [X0,X1] :
( ~ subset(sK4,X1)
| in(sK0(sK3,X0),X1)
| subset(sK3,X0) ),
inference(resolution,[],[f48,f22]) ).
fof(f79,plain,
! [X0] :
( in(sK0(sK3,X0),sK5)
| subset(sK3,X0) ),
inference(resolution,[],[f65,f29]) ).
fof(f82,plain,
( subset(sK3,sK5)
| subset(sK3,sK5) ),
inference(resolution,[],[f79,f24]) ).
fof(f86,plain,
subset(sK3,sK5),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f87,plain,
$false,
inference(forward_subsumption_resolution,[],[f86,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU121+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n020.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 03:37:49 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.47 % (4001950)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (4001955)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1695295800_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % TRYING [4]
% 0.15/0.47 % TRYING [5]
% 0.15/0.47 % (4001956)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [6]
% 0.15/0.47 % TRYING [7]
% 0.15/0.47 % (4001956)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3316275961:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (4001957)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2447978936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (4001958)dis+10_1_sil=32000:sp=arity:random_seed=4222342424:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (4001959)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1304835431:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % TRYING [8]
% 0.15/0.47 % (4001961)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2540773000:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (4001960)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2862794978:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (4001956) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4001950-4001956"...
% 0.15/0.47 % (4001959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4001950-4001959"...
% 0.15/0.47 % (4001958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4001950-4001958"...
% 0.15/0.47 % (4001961) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4001950-4001961"...
% 0.15/0.47 % (4001960) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4001950-4001960"...
% 0.15/0.47 % (4001956)...printing done.
% 0.15/0.47 % (4001959)...printing done.
% 0.15/0.47 % (4001958)...printing done.
% 0.15/0.47 % (4001961)...printing done.
% 0.15/0.47 % TRYING [9]
% 0.15/0.47 % (4001960)...printing done.
% 0.15/0.47 % (4001956)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 % (4001956)------------------------------
% 0.15/0.47 % (4001956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (4001956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (4001956)CaDiCaL version: 2.1.3
% 0.15/0.47 % (4001956)Termination reason: Refutation
% 0.15/0.47 % (4001956)Time elapsed: 0.003 s
% 0.15/0.47 % (4001956)Peak memory usage: 11 MB
% 0.15/0.47 % (4001956)Instructions burned: 2 (million)
% 0.15/0.47 % (4001950)Success in time 0.036 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------