%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU121+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:47:17 PM UTC 2026
% Result : Theorem 3.34s 1.38s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 20 ~; 19 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 40 ( 32 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X0,X1)
& subset(X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X0,X1)
& subset(X1,X2) ),
inference(flattening,[],[f26]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f33,plain,
( ~ subset(sK0,sK2)
& subset(sK0,sK1)
& subset(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f27]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f37]) ).
fof(f44,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f45,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f46,plain,
~ subset(sK0,sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f73,plain,
! [X0] :
( ~ in(X0,sK1)
| in(X0,sK2) ),
inference(resolution,[],[f44,f53]) ).
fof(f74,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sK1) ),
inference(resolution,[],[f45,f53]) ).
fof(f88,plain,
! [X0] :
( in(sK5(sK0,X0),sK1)
| subset(sK0,X0) ),
inference(resolution,[],[f74,f54]) ).
fof(f132,plain,
! [X0] :
( in(sK5(sK0,X0),sK2)
| subset(sK0,X0) ),
inference(resolution,[],[f88,f73]) ).
fof(f238,plain,
( subset(sK0,sK2)
| subset(sK0,sK2) ),
inference(resolution,[],[f132,f55]) ).
fof(f240,plain,
subset(sK0,sK2),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f241,plain,
$false,
inference(forward_subsumption_resolution,[],[f240,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU121+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:40:16 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.34/1.38 % (2233266)Detected formulas, will run a generic FOF schedule.
% 3.34/1.38 % (2233271)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=2273558075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.34/1.38 % (2233274)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2102895217:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.34/1.38 % (2233274)First to succeed.
% 3.34/1.38 % (2233272)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=2489505799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.34/1.38 % (2233273)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=3200563788:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.34/1.38 % (2233274)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2233266"
% 3.34/1.38 % (2233277)dis-21_1_sil=8000:lcm=predicate:random_seed=1984081120: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)
% 3.34/1.38 % (2233275)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1087493982:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.34/1.38 % (2233276)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3548710013:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.34/1.38 % (2233277)Also succeeded, but the first one will report.
% 3.34/1.38 % (2233276)Also succeeded, but the first one will report.
% 3.34/1.38 % (2233275)Instruction limit reached!
% 3.34/1.38 % (2233275)------------------------------
% 3.34/1.38 % (2233275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.38 % (2233275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.38 % (2233275)CaDiCaL version: 2.1.3
% 3.34/1.38 % (2233275)Termination reason: Instruction limit
% 3.34/1.38 % (2233275)Termination phase: Saturation
% 3.34/1.38 % (2233275)Time elapsed: 0.070 s
% 3.34/1.38 % (2233275)Peak memory usage: 88 MB
% 3.34/1.38 % (2233275)Instructions burned: 119 (million)
% 3.34/1.38 % (2233285)lrs+10_1_sil=8000:sp=occurrence:random_seed=1361202518:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.34/1.38 % (2233285)Also succeeded, but the first one will report.
% 3.34/1.38 % (2233274)Refutation found. Thanks to Tanya!
% 3.34/1.38 % SZS status Theorem for theBenchmark
% 3.34/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.34/1.38 % (2233274)------------------------------
% 3.34/1.38 % (2233274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.38 % (2233274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.38 % (2233274)CaDiCaL version: 2.1.3
% 3.34/1.38 % (2233274)Termination reason: Refutation
% 3.34/1.38 % (2233274)Time elapsed: 0.007 s
% 3.34/1.38 % (2233274)Peak memory usage: 89 MB
% 3.34/1.38 % (2233274)Instructions burned: 7 (million)
% 3.34/1.38 % (2233274)------------------------------
% 3.34/1.38 % (2233274)------------------------------
% 3.34/1.38 % (2233266)Success in time 0.408 s
% 3.34/1.38 % Vampire exiting
%------------------------------------------------------------------------------