%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU139+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 : n008.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 12:47:22 PM UTC 2026
% Result : Theorem 3.02s 1.36s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 54 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 17 |; 14 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f12,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( subset(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f50,conjecture,
! [X0,X1] :
~ ( subset(X0,X1)
& proper_subset(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(f51,negated_conjecture,
~ ! [X0,X1] :
~ ( subset(X0,X1)
& proper_subset(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f75,plain,
? [X0,X1] :
( subset(X0,X1)
& proper_subset(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f87,plain,
( subset(sK2,sK3)
& proper_subset(sK3,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f75]) ).
fof(f88,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f89,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f88]) ).
fof(f111,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 )
& ( ( subset(X0,X1)
& X0 != X1 )
| ~ proper_subset(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f112,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 )
& ( ( subset(X0,X1)
& X0 != X1 )
| ~ proper_subset(X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f136,plain,
proper_subset(sK3,sK2),
inference(cnf_transformation,[],[f87]) ).
fof(f137,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f87]) ).
fof(f144,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f182,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f183,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f222,plain,
! [X1] : ~ proper_subset(X1,X1),
inference(equality_resolution,[],[f182]) ).
fof(f225,plain,
subset(sK3,sK2),
inference(resolution,[],[f136,f183]) ).
fof(f228,plain,
( ~ subset(sK3,sK2)
| sK2 = sK3 ),
inference(resolution,[],[f137,f144]) ).
fof(f229,plain,
sK2 = sK3,
inference(forward_subsumption_resolution,[],[f228,f225]) ).
fof(f238,plain,
proper_subset(sK2,sK2),
inference(superposition,[],[f136,f229]) ).
fof(f239,plain,
$false,
inference(forward_subsumption_resolution,[],[f238,f222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU139+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:42:54 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 3.02/1.36 % (1846375)Detected formulas, will run a generic FOF schedule.
% 3.02/1.36 % (1846386)dis-21_1_sil=8000:lcm=predicate:random_seed=2161411791: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)
% 3.02/1.36 % (1846383)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2098382984:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.02/1.36 % (1846382)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=2943834878:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.02/1.36 % (1846380)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=2231139697:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.02/1.36 % (1846381)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=3786397282:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.02/1.36 % (1846384)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3125796832:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.02/1.36 % (1846386)Instruction limit reached!
% 3.02/1.36 % (1846386)------------------------------
% 3.02/1.36 % (1846386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.36 % (1846386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.36 % (1846386)CaDiCaL version: 2.1.3
% 3.02/1.36 % (1846386)Termination reason: Instruction limit
% 3.02/1.36 % (1846386)Termination phase: Saturation
% 3.02/1.36 % (1846386)Time elapsed: 0.042 s
% 3.02/1.36 % (1846386)Peak memory usage: 89 MB
% 3.02/1.36 % (1846386)Instructions burned: 129 (million)
% 3.02/1.36 % (1846383)First to succeed.
% 3.02/1.36 % (1846383)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1846375"
% 3.02/1.36 % (1846384)Also succeeded, but the first one will report.
% 3.02/1.36 % (1846385)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1132668334:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.02/1.36 % (1846385)Also succeeded, but the first one will report.
% 3.02/1.36 % (1846383)Refutation found. Thanks to Tanya!
% 3.02/1.36 % SZS status Theorem for theBenchmark
% 3.02/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.02/1.36 % (1846383)------------------------------
% 3.02/1.36 % (1846383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.36 % (1846383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.36 % (1846383)CaDiCaL version: 2.1.3
% 3.02/1.36 % (1846383)Termination reason: Refutation
% 3.02/1.36 % (1846383)Time elapsed: 0.004 s
% 3.02/1.36 % (1846383)Peak memory usage: 89 MB
% 3.02/1.36 % (1846383)Instructions burned: 5 (million)
% 3.02/1.36 % (1846383)------------------------------
% 3.02/1.36 % (1846383)------------------------------
% 3.02/1.36 % (1846375)Success in time 0.355 s
% 3.02/1.36 % Vampire exiting
%------------------------------------------------------------------------------