%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU264+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 12:48:04 PM UTC 2026
% Result : Theorem 5.13s 1.61s
% Output : Refutation 5.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 50 ( 19 ~; 14 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 53 ( 45 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f210,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f214,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f215,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
fof(f226,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f335,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f215]) ).
fof(f336,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f335]) ).
fof(f337,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f226]) ).
fof(f338,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f337]) ).
fof(f340,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f210]) ).
fof(f341,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f340]) ).
fof(f342,plain,
! [X0,X1,X2] :
( ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f199]) ).
fof(f343,plain,
( ~ relation_of2_as_subset(sK3,sK2,sK1)
& subset(sK0,sK1)
& relation_of2_as_subset(sK3,sK2,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f336]) ).
fof(f351,plain,
relation_of2_as_subset(sK3,sK2,sK0),
inference(cnf_transformation,[],[f343]) ).
fof(f352,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f343]) ).
fof(f353,plain,
~ relation_of2_as_subset(sK3,sK2,sK1),
inference(cnf_transformation,[],[f343]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_rng(X2),X1) ),
inference(cnf_transformation,[],[f342]) ).
fof(f370,plain,
subset(relation_rng(sK3),sK0),
inference(unit_resulting_resolution,[],[f363,f351]) ).
fof(f399,plain,
subset(relation_rng(sK3),sK1),
inference(unit_resulting_resolution,[],[f354,f370,f352]) ).
fof(f419,plain,
$false,
inference(unit_resulting_resolution,[],[f362,f351,f353,f399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:23:39 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 5.13/1.61 % (1868023)Detected formulas, will run a generic FOF schedule.
% 5.13/1.61 % (1868030)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=1393879542:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.13/1.61 % (1868032)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=236096560:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.13/1.61 % (1868029)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=1761568157:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.13/1.61 % (1868028)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=1557658007:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.13/1.61 % (1868031)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1739224501:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.13/1.61 % (1868034)dis-21_1_sil=8000:lcm=predicate:random_seed=635011376: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)
% 5.13/1.61 % (1868033)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=239787994:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.13/1.61 % (1868031)Instruction limit reached!
% 5.13/1.61 % (1868031)------------------------------
% 5.13/1.61 % (1868031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868031)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868031)Termination reason: Instruction limit
% 5.13/1.61 % (1868031)Termination phase: Saturation
% 5.13/1.61 % (1868031)Time elapsed: 0.067 s
% 5.13/1.61 % (1868031)Peak memory usage: 90 MB
% 5.13/1.61 % (1868031)Instructions burned: 109 (million)
% 5.13/1.61 % (1868032)Instruction limit reached!
% 5.13/1.61 % (1868032)------------------------------
% 5.13/1.61 % (1868032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868032)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868032)Termination reason: Instruction limit
% 5.13/1.61 % (1868032)Termination phase: Saturation
% 5.13/1.61 % (1868032)Time elapsed: 0.080 s
% 5.13/1.61 % (1868032)Peak memory usage: 89 MB
% 5.13/1.61 % (1868032)Instructions burned: 120 (million)
% 5.13/1.61 % (1868034)Instruction limit reached!
% 5.13/1.61 % (1868034)------------------------------
% 5.13/1.61 % (1868034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868034)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868034)Termination reason: Instruction limit
% 5.13/1.61 % (1868034)Termination phase: Saturation
% 5.13/1.61 % (1868034)Time elapsed: 0.074 s
% 5.13/1.61 % (1868034)Peak memory usage: 90 MB
% 5.13/1.61 % (1868034)Instructions burned: 129 (million)
% 5.13/1.61 % (1868033)Instruction limit reached!
% 5.13/1.61 % (1868033)------------------------------
% 5.13/1.61 % (1868033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868033)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868033)Termination reason: Instruction limit
% 5.13/1.61 % (1868033)Termination phase: Saturation
% 5.13/1.61 % (1868033)Time elapsed: 0.101 s
% 5.13/1.61 % (1868033)Peak memory usage: 91 MB
% 5.13/1.61 % (1868033)Instructions burned: 139 (million)
% 5.13/1.61 % (1868042)lrs+10_1_sil=8000:sp=occurrence:random_seed=2256801119:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.13/1.61 % (1868043)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2661377350:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.13/1.61 % (1868043)First to succeed.
% 5.13/1.61 % (1868043)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1868023"
% 5.13/1.61 % (1868044)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2819449173:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.13/1.61 % (1868045)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1929337995:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.13/1.61 % (1868045)Also succeeded, but the first one will report.
% 5.13/1.61 % (1868042)Instruction limit reached!
% 5.13/1.61 % (1868042)------------------------------
% 5.13/1.61 % (1868042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868042)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868042)Termination reason: Instruction limit
% 5.13/1.61 % (1868042)Termination phase: Saturation
% 5.13/1.61 % (1868042)Time elapsed: 0.188 s
% 5.13/1.61 % (1868042)Peak memory usage: 93 MB
% 5.13/1.61 % (1868042)Instructions burned: 286 (million)
% 5.13/1.61 % (1868044)Instruction limit reached!
% 5.13/1.61 % (1868044)------------------------------
% 5.13/1.61 % (1868044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868044)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868044)Termination reason: Instruction limit
% 5.13/1.61 % (1868044)Termination phase: Saturation
% 5.13/1.61 % (1868044)Time elapsed: 0.224 s
% 5.13/1.61 % (1868044)Peak memory usage: 93 MB
% 5.13/1.61 % (1868044)Instructions burned: 325 (million)
% 5.13/1.61 % (1868030)Also succeeded, but the first one will report.
% 5.13/1.61 % (1868043)Refutation found. Thanks to Tanya!
% 5.13/1.61 % SZS status Theorem for theBenchmark
% 5.13/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 5.13/1.61 % (1868043)------------------------------
% 5.13/1.61 % (1868043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.61 % (1868043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.61 % (1868043)CaDiCaL version: 2.1.3
% 5.13/1.61 % (1868043)Termination reason: Refutation
% 5.13/1.61 % (1868043)Time elapsed: 0.005 s
% 5.13/1.61 % (1868043)Peak memory usage: 89 MB
% 5.13/1.61 % (1868043)Instructions burned: 6 (million)
% 5.13/1.61 % (1868043)------------------------------
% 5.13/1.61 % (1868043)------------------------------
% 5.13/1.61 % (1868023)Success in time 0.659 s
% 5.13/1.61 % Vampire exiting
%------------------------------------------------------------------------------