%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU127+2 : 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 : n012.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 12:52:00 PM UTC 2026
% Result : Theorem 0.07s 0.36s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 27 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 1 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f8,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f23,conjecture,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f24,negated_conjecture,
~ ! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f48,plain,
? [X0,X1] : ~ subset(set_intersection2(X0,X1),X0),
inference(ennf_transformation,[],[f24]) ).
fof(f74,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f8]) ).
fof(f94,plain,
~ subset(set_intersection2(sK6,sK7),sK6),
inference(cnf_transformation,[],[f48]) ).
fof(f117,plain,
! [X3,X0,X1] :
( ~ in(X3,set_intersection2(X0,X1))
| in(X3,X0) ),
inference(equality_resolution,[],[f80]) ).
fof(f183,plain,
in(sK2(set_intersection2(sK6,sK7),sK6),set_intersection2(sK6,sK7)),
inference(resolution,[],[f74,f94]) ).
fof(f186,plain,
~ in(sK2(set_intersection2(sK6,sK7),sK6),sK6),
inference(resolution,[],[f75,f94]) ).
fof(f212,plain,
in(sK2(set_intersection2(sK6,sK7),sK6),sK6),
inference(resolution,[],[f117,f183]) ).
fof(f218,plain,
$false,
inference(forward_subsumption_resolution,[],[f212,f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU127+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 03:38:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.07/0.36 % (2994013)Will run a generic schedule for satisfiability detection.
% 0.07/0.36 % (2994019)% WARNING: option uhcvi not known.
% 0.07/0.36 % (2994018)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3479379763_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36 % (2994019)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2214002780:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36 % (2994021)dis+10_1_sil=32000:sp=arity:random_seed=934391972:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36 % (2994020)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3460445807:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36 % (2994022)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3379440433:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36 % (2994023)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1612184938:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36 % (2994024)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1410040399:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36 % TRYING [1]
% 0.07/0.36 % TRYING [2]
% 0.07/0.36 % TRYING [3]
% 0.07/0.36 % (2994022) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2994013-2994022"...
% 0.07/0.36 % (2994024) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2994013-2994024"...
% 0.07/0.36 % (2994022)...printing done.
% 0.07/0.36 % (2994024)...printing done.
% 0.07/0.36 % (2994022)Refutation found. Thanks to Tanya!
% 0.07/0.36 % SZS status Theorem for theBenchmark
% 0.07/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36 % (2994022)------------------------------
% 0.07/0.36 % (2994022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36 % (2994022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36 % (2994022)CaDiCaL version: 2.1.3
% 0.07/0.36 % (2994022)Termination reason: Refutation
% 0.07/0.36 % (2994022)Time elapsed: 0.003 s
% 0.07/0.36 % (2994022)Peak memory usage: 12 MB
% 0.07/0.36 % (2994022)Instructions burned: 6 (million)
% 0.07/0.36 % (2994013)Success in time 0.027 s
% 0.07/0.36 % Vampire exiting
%------------------------------------------------------------------------------