%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU196+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:47:41 PM UTC 2026
% Result : Theorem 2.13s 0.89s
% Output : Refutation 2.13s
% 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(f58,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f122,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/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f177,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).
fof(f184,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f185,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f184]) ).
fof(f222,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,[],[f122]) ).
fof(f223,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,[],[f222]) ).
fof(f264,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f271,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f330,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f359,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK7,sK6)),relation_rng(sK7))
& relation(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f271]) ).
fof(f472,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f541,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f547,plain,
relation(sK7),
inference(cnf_transformation,[],[f359]) ).
fof(f548,plain,
~ subset(relation_rng(relation_dom_restriction(sK7,sK6)),relation_rng(sK7)),
inference(cnf_transformation,[],[f359]) ).
fof(f712,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f1213,definition,
( spl64_1
<=> relation(relation_dom_restriction(sK7,sK6)) ),
introduced(definition,[new_symbols(definition,[spl64_1])],[avatar_definition]) ).
fof(f1214,plain,
( relation(relation_dom_restriction(sK7,sK6))
| ~ spl64_1 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1215,plain,
( ~ relation(relation_dom_restriction(sK7,sK6))
| spl64_1 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1225,plain,
( ~ relation(sK7)
| spl64_1 ),
inference(resolution,[],[f1215,f712]) ).
fof(f1226,plain,
( $false
| spl64_1 ),
inference(forward_subsumption_resolution,[],[f1225,f547]) ).
fof(f1227,plain,
spl64_1,
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f2431,plain,
( ~ subset(relation_dom_restriction(sK7,sK6),sK7)
| ~ relation(sK7)
| ~ relation(relation_dom_restriction(sK7,sK6)) ),
inference(resolution,[],[f472,f548]) ).
fof(f2456,plain,
( ~ relation(sK7)
| ~ relation(relation_dom_restriction(sK7,sK6)) ),
inference(forward_subsumption_resolution,[],[f2431,f541]) ).
fof(f2457,plain,
~ relation(relation_dom_restriction(sK7,sK6)),
inference(forward_subsumption_resolution,[],[f2456,f547]) ).
fof(f2458,plain,
( $false
| ~ spl64_1 ),
inference(forward_subsumption_resolution,[],[f2457,f1214]) ).
fof(f2459,plain,
~ spl64_1,
inference(avatar_contradiction_clause,[],[f2458]) ).
cnf(s2,plain,
spl64_1,
inference(sat_conversion,[],[f1227]) ).
cnf(s9,plain,
~ spl64_1,
inference(sat_conversion,[],[f2459]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s9]) ).
fof(f2460,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU196+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 03:59:01 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/0.89 % (3003994)Detected formulas, will run a generic FOF schedule.
% 2.13/0.89 % (3004002)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2692776172:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.13/0.89 % (3004000)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=2064291370:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.13/0.89 % (3003999)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=3608778231:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.13/0.89 % (3004001)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=2041852571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.13/0.89 % (3004004)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3357823892:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.13/0.89 % (3004003)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1115458213:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.13/0.89 % (3004005)dis-21_1_sil=8000:lcm=predicate:random_seed=2366080496: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)
% 2.13/0.89 % (3004002)First to succeed.
% 2.13/0.89 % (3004002)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3003994"
% 2.13/0.89 % (3004004)Also succeeded, but the first one will report.
% 2.13/0.89 % (3004003)Also succeeded, but the first one will report.
% 2.13/0.89 % (3004005)Instruction limit reached!
% 2.13/0.89 % (3004005)------------------------------
% 2.13/0.89 % (3004005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.89 % (3004005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.89 % (3004005)CaDiCaL version: 2.1.3
% 2.13/0.89 % (3004005)Termination reason: Instruction limit
% 2.13/0.89 % (3004005)Termination phase: Saturation
% 2.13/0.89 % (3004005)Time elapsed: 0.042 s
% 2.13/0.89 % (3004005)Peak memory usage: 90 MB
% 2.13/0.89 % (3004005)Instructions burned: 131 (million)
% 2.13/0.89 % (3004013)lrs+10_1_sil=8000:sp=occurrence:random_seed=3376675308:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.13/0.89 % (3004002)Refutation found. Thanks to Tanya!
% 2.13/0.89 % SZS status Theorem for theBenchmark
% 2.13/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.89 % (3004002)------------------------------
% 2.13/0.89 % (3004002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.89 % (3004002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.89 % (3004002)CaDiCaL version: 2.1.3
% 2.13/0.89 % (3004002)Termination reason: Refutation
% 2.13/0.89 % (3004002)Time elapsed: 0.030 s
% 2.13/0.89 % (3004002)Peak memory usage: 91 MB
% 2.13/0.89 % (3004002)Instructions burned: 80 (million)
% 2.13/0.89 % (3004002)------------------------------
% 2.13/0.89 % (3004002)------------------------------
% 2.13/0.89 % (3003994)Success in time 0.283 s
% 2.13/0.89 % Vampire exiting
%------------------------------------------------------------------------------