%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU248+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 : n001.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 12:48:00 PM UTC 2026
% Result : Theorem 3.97s 1.54s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 9 unt; 1 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 29 ~; 21 |; 5 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f146,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f147,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f186,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f223,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f395,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f436,plain,
? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f147]) ).
fof(f462,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f186]) ).
fof(f512,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f223]) ).
fof(f513,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f512]) ).
fof(f747,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80))
& relation(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80]),skolemize(X0,sK79),skolemize(X1,sK80)],[f436]) ).
fof(f1116,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1187,plain,
relation(sK80),
inference(cnf_transformation,[],[f747]) ).
fof(f1188,plain,
~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80)),
inference(cnf_transformation,[],[f747]) ).
fof(f1275,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1327,plain,
! [X0,X1] :
( subset(relation_dom(X0),relation_dom(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f513]) ).
fof(f1908,definition,
( spl122_15
<=> relation(relation_rng_restriction(sK79,sK80)) ),
introduced(definition,[new_symbols(definition,[spl122_15])],[avatar_definition]) ).
fof(f1909,plain,
( relation(relation_rng_restriction(sK79,sK80))
| ~ spl122_15 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1910,plain,
( ~ relation(relation_rng_restriction(sK79,sK80))
| spl122_15 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1924,plain,
( ~ relation(sK80)
| spl122_15 ),
inference(resolution,[],[f1910,f1116]) ).
fof(f1925,plain,
( $false
| spl122_15 ),
inference(forward_subsumption_resolution,[],[f1924,f1187]) ).
fof(f1926,plain,
spl122_15,
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f2228,plain,
( ~ subset(relation_rng_restriction(sK79,sK80),sK80)
| ~ relation(sK80)
| ~ relation(relation_rng_restriction(sK79,sK80)) ),
inference(resolution,[],[f1327,f1188]) ).
fof(f2241,plain,
( ~ relation(sK80)
| ~ relation(relation_rng_restriction(sK79,sK80)) ),
inference(forward_subsumption_resolution,[],[f2228,f1275]) ).
fof(f2242,plain,
~ relation(relation_rng_restriction(sK79,sK80)),
inference(forward_subsumption_resolution,[],[f2241,f1187]) ).
fof(f2243,plain,
( $false
| ~ spl122_15 ),
inference(forward_subsumption_resolution,[],[f2242,f1909]) ).
fof(f2244,plain,
~ spl122_15,
inference(avatar_contradiction_clause,[],[f2243]) ).
cnf(s9,plain,
spl122_15,
inference(sat_conversion,[],[f1926]) ).
cnf(s10,plain,
~ spl122_15,
inference(sat_conversion,[],[f2244]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s9,s10]) ).
fof(f2245,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 04:25:02 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.42 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
% 3.97/1.54 % (14561)Detected formulas, will run a generic FOF schedule.
% 3.97/1.54 % (14567)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=4090181214:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.97/1.54 % (14572)dis-21_1_sil=8000:lcm=predicate:random_seed=1524824284: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)
% 3.97/1.54 % (14571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=65471531:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.97/1.54 % (14566)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=4257558461:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.97/1.54 % (14569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2206823550:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.97/1.54 % (14568)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=1905707075:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.97/1.54 % (14570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=553390340:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.97/1.54 % (14571)First to succeed.
% 3.97/1.54 % (14571)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14561"
% 3.97/1.54 % (14572)Instruction limit reached!
% 3.97/1.54 % (14572)------------------------------
% 3.97/1.54 % (14572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.54 % (14572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.54 % (14572)CaDiCaL version: 2.1.3
% 3.97/1.54 % (14572)Termination reason: Instruction limit
% 3.97/1.54 % (14572)Termination phase: Saturation
% 3.97/1.54 % (14572)Time elapsed: 0.066 s
% 3.97/1.54 % (14572)Peak memory usage: 90 MB
% 3.97/1.54 % (14572)Instructions burned: 131 (million)
% 3.97/1.54 % (14569)Instruction limit reached!
% 3.97/1.54 % (14569)------------------------------
% 3.97/1.54 % (14569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.54 % (14569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.54 % (14569)CaDiCaL version: 2.1.3
% 3.97/1.54 % (14569)Termination reason: Instruction limit
% 3.97/1.54 % (14569)Termination phase: Saturation
% 3.97/1.54 % (14569)Time elapsed: 0.069 s
% 3.97/1.54 % (14569)Peak memory usage: 90 MB
% 3.97/1.54 % (14569)Instructions burned: 110 (million)
% 3.97/1.54 % (14570)Instruction limit reached!
% 3.97/1.54 % (14570)------------------------------
% 3.97/1.54 % (14570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.54 % (14570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.54 % (14570)CaDiCaL version: 2.1.3
% 3.97/1.54 % (14570)Termination reason: Instruction limit
% 3.97/1.54 % (14570)Termination phase: Saturation
% 3.97/1.54 % (14570)Time elapsed: 0.081 s
% 3.97/1.54 % (14570)Peak memory usage: 89 MB
% 3.97/1.54 % (14570)Instructions burned: 120 (million)
% 3.97/1.54 % (14581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2692167479:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.97/1.54 % (14580)lrs+10_1_sil=8000:sp=occurrence:random_seed=3281242608:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.97/1.54 % (14582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1427556022:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.97/1.54 % (14571)Refutation found. Thanks to Tanya!
% 3.97/1.54 % SZS status Theorem for theBenchmark
% 3.97/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.54 % (14571)------------------------------
% 3.97/1.54 % (14571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.54 % (14571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.54 % (14571)CaDiCaL version: 2.1.3
% 3.97/1.54 % (14571)Termination reason: Refutation
% 3.97/1.54 % (14571)Time elapsed: 0.038 s
% 3.97/1.54 % (14571)Peak memory usage: 91 MB
% 3.97/1.54 % (14571)Instructions burned: 55 (million)
% 3.97/1.54 % (14571)------------------------------
% 3.97/1.54 % (14571)------------------------------
% 3.97/1.54 % (14561)Success in time 0.477 s
% 3.97/1.54 % Vampire exiting
%------------------------------------------------------------------------------