%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR096+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:42:57 AM UTC 2026
% Result : Theorem 4.05s 1.42s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 19 unt; 2 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 170 ( 79 ~; 75 |; 5 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0,X1] :
( s__subclass(X0,X1)
=> ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__subclass(X0,X1)
& s__instance(X2,X0) )
=> s__instance(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).
fof(f5748,axiom,
s__subclass(s__AstronomicalBody,s__Object),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_5820) ).
fof(f7219,axiom,
s__subclass(s__Planet26_1,s__AstronomicalBody),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).
fof(f7220,axiom,
! [X0] :
( s__instance(X0,s__Object)
=> ( s__instance(X0,s__Planet26_1)
=> ( s__attribute(X0,s__Solid)
| s__attribute(X0,s__Gaseous) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_3) ).
fof(f7221,axiom,
! [X0] :
( s__instance(X0,s__Object)
=> ( s__instance(X0,s__Planet26_1)
=> ( s__attribute(X0,s__Earthlike)
| s__attribute(X0,s__HostileToEarthLife) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_4) ).
fof(f7222,axiom,
! [X0] :
( s__instance(X0,s__Object)
=> ( ( s__instance(X0,s__Planet26_1)
& s__attribute(X0,s__Gaseous) )
=> ~ s__attribute(X0,s__Earthlike) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_5) ).
fof(f7223,axiom,
s__instance(s__Object26_1,s__Planet26_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_6) ).
fof(f7224,axiom,
~ s__attribute(s__Object26_1,s__Solid),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_7) ).
fof(f7225,conjecture,
s__attribute(s__Object26_1,s__HostileToEarthLife),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(f7226,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(negated_conjecture,[status(cth)],[f7225]) ).
fof(f7228,plain,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(flattening,[],[f7226]) ).
fof(f7282,plain,
! [X0] :
( s__attribute(X0,s__Earthlike)
| s__attribute(X0,s__HostileToEarthLife)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__instance(X0,s__Object) ),
inference(ennf_transformation,[],[f7221]) ).
fof(f7283,plain,
! [X0] :
( s__attribute(X0,s__Earthlike)
| s__attribute(X0,s__HostileToEarthLife)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__instance(X0,s__Object) ),
inference(flattening,[],[f7282]) ).
fof(f7303,plain,
! [X0] :
( ~ s__attribute(X0,s__Earthlike)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__attribute(X0,s__Gaseous)
| ~ s__instance(X0,s__Object) ),
inference(ennf_transformation,[],[f7222]) ).
fof(f7304,plain,
! [X0] :
( ~ s__attribute(X0,s__Earthlike)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__attribute(X0,s__Gaseous)
| ~ s__instance(X0,s__Object) ),
inference(flattening,[],[f7303]) ).
fof(f7305,plain,
! [X0] :
( s__attribute(X0,s__Solid)
| s__attribute(X0,s__Gaseous)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__instance(X0,s__Object) ),
inference(ennf_transformation,[],[f7220]) ).
fof(f7306,plain,
! [X0] :
( s__attribute(X0,s__Solid)
| s__attribute(X0,s__Gaseous)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__instance(X0,s__Object) ),
inference(flattening,[],[f7305]) ).
fof(f7310,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f27]) ).
fof(f7311,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f7310]) ).
fof(f7312,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f7369,plain,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(cnf_transformation,[],[f7228]) ).
fof(f7374,plain,
! [X0] :
( ~ s__instance(X0,s__Planet26_1)
| s__attribute(X0,s__HostileToEarthLife)
| s__attribute(X0,s__Earthlike)
| ~ s__instance(X0,s__Object) ),
inference(cnf_transformation,[],[f7283]) ).
fof(f7375,plain,
~ s__attribute(s__Object26_1,s__Solid),
inference(cnf_transformation,[],[f7224]) ).
fof(f7376,plain,
s__instance(s__Object26_1,s__Planet26_1),
inference(cnf_transformation,[],[f7223]) ).
fof(f7392,plain,
! [X0] :
( ~ s__attribute(X0,s__Earthlike)
| ~ s__instance(X0,s__Planet26_1)
| ~ s__attribute(X0,s__Gaseous)
| ~ s__instance(X0,s__Object) ),
inference(cnf_transformation,[],[f7304]) ).
fof(f7393,plain,
! [X0] :
( ~ s__instance(X0,s__Planet26_1)
| s__attribute(X0,s__Gaseous)
| s__attribute(X0,s__Solid)
| ~ s__instance(X0,s__Object) ),
inference(cnf_transformation,[],[f7306]) ).
fof(f7394,plain,
s__subclass(s__Planet26_1,s__AstronomicalBody),
inference(cnf_transformation,[],[f7219]) ).
fof(f7401,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f7311]) ).
fof(f7402,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f7312]) ).
fof(f7403,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f7312]) ).
fof(f7404,plain,
s__subclass(s__AstronomicalBody,s__Object),
inference(cnf_transformation,[],[f5748]) ).
fof(f8749,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X0,s__SetOrClass) ),
inference(forward_subsumption_resolution,[],[f7401,f7402]) ).
fof(f8755,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f8749,f7403]) ).
fof(f8785,plain,
! [X0] :
( ~ s__instance(X0,s__AstronomicalBody)
| s__instance(X0,s__Object) ),
inference(resolution,[],[f8755,f7404]) ).
fof(f8787,plain,
! [X0] :
( ~ s__instance(X0,s__Planet26_1)
| s__instance(X0,s__AstronomicalBody) ),
inference(resolution,[],[f8755,f7394]) ).
fof(f8872,plain,
( s__attribute(s__Object26_1,s__HostileToEarthLife)
| s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolution,[],[f7374,f7376]) ).
fof(f8873,plain,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(forward_subsumption_resolution,[],[f8872,f7369]) ).
fof(f8875,definition,
( spl5_16
<=> s__instance(s__Object26_1,s__Object) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
fof(f8876,plain,
( s__instance(s__Object26_1,s__Object)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f8875]) ).
fof(f8877,plain,
( ~ s__instance(s__Object26_1,s__Object)
| spl5_16 ),
inference(avatar_component_clause,[],[f8875]) ).
fof(f8879,definition,
( spl5_17
<=> s__attribute(s__Object26_1,s__Earthlike) ),
introduced(definition,[new_symbols(definition,[spl5_17])],[avatar_definition]) ).
fof(f8881,plain,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f8879]) ).
fof(f8882,plain,
( ~ spl5_16
| spl5_17 ),
inference(avatar_split_clause,[],[f8873,f8879,f8875]) ).
fof(f8908,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| s__attribute(s__Object26_1,s__Solid)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolution,[],[f7393,f7376]) ).
fof(f8993,plain,
s__instance(s__Object26_1,s__AstronomicalBody),
inference(resolution,[],[f8787,f7376]) ).
fof(f8998,plain,
s__instance(s__Object26_1,s__Object),
inference(resolution,[],[f8993,f8785]) ).
fof(f8999,plain,
( $false
| spl5_16 ),
inference(forward_subsumption_resolution,[],[f8998,f8877]) ).
fof(f9000,plain,
spl5_16,
inference(avatar_contradiction_clause,[],[f8999]) ).
fof(f9001,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(forward_subsumption_resolution,[],[f8908,f7375]) ).
fof(f9002,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f9001,f8876]) ).
fof(f9003,plain,
( ~ s__instance(s__Object26_1,s__Planet26_1)
| ~ s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object)
| ~ spl5_17 ),
inference(resolution,[],[f8881,f7392]) ).
fof(f9010,plain,
( ~ s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object)
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f9003,f7376]) ).
fof(f9046,plain,
( ~ s__instance(s__Object26_1,s__Object)
| ~ spl5_16
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f9010,f9002]) ).
fof(f9047,plain,
( $false
| ~ spl5_16
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f9046,f8876]) ).
fof(f9048,plain,
( ~ spl5_16
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f9047]) ).
cnf(s9,plain,
( ~ spl5_16
| spl5_17 ),
inference(sat_conversion,[],[f8882]) ).
cnf(s11,plain,
spl5_16,
inference(sat_conversion,[],[f9000]) ).
cnf(s15,plain,
( ~ spl5_16
| ~ spl5_17 ),
inference(sat_conversion,[],[f9048]) ).
cnf(s16,plain,
~ spl5_17,
inference(rat,[],[s15,s11]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s9,s16,s11]) ).
fof(f9049,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR096+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:41:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.70/1.33 % (4115622)Detected formulas, will run a generic FOF schedule.
% 2.70/1.33 % (4115631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2208526600:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 2.70/1.33 % (4115631)Instruction limit reached!
% 2.70/1.33 % (4115631)------------------------------
% 2.70/1.33 % (4115631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (4115631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (4115631)CaDiCaL version: 2.1.3
% 2.70/1.33 % (4115631)Termination reason: Instruction limit
% 2.70/1.33 % (4115631)Termination phase: Saturation
% 2.70/1.33 % (4115631)Time elapsed: 0.032 s
% 2.70/1.33 % (4115631)Peak memory usage: 94 MB
% 2.70/1.33 % (4115631)Instructions burned: 119 (million)
% 2.70/1.33 % (4115629)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=1531720657:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 2.70/1.33 % (4115630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2395137127:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 2.70/1.33 % (4115627)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=3506260304:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 2.70/1.33 % (4115628)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=2786318720:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 2.70/1.33 % (4115633)dis-21_1_sil=8000:lcm=predicate:random_seed=4013200106:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 2.70/1.33 % (4115632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=502971062:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 2.70/1.33 % (4115630)Refutation not found, incomplete strategy
% 2.70/1.33 % (4115630)------------------------------
% 2.70/1.33 % (4115630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (4115630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (4115630)CaDiCaL version: 2.1.3
% 2.70/1.33 % (4115630)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.33 % (4115630)Time elapsed: 0.022 s
% 2.70/1.33 % (4115630)Peak memory usage: 94 MB
% 2.70/1.33 % (4115630)Instructions burned: 38 (million)
% 2.70/1.33 % (4115633)Instruction limit reached!
% 2.70/1.33 % (4115633)------------------------------
% 2.70/1.33 % (4115633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (4115633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (4115633)CaDiCaL version: 2.1.3
% 2.70/1.33 % (4115633)Termination reason: Instruction limit
% 2.70/1.33 % (4115633)Termination phase: Property scanning
% 2.70/1.33 % (4115633)Time elapsed: 0.073 s
% 2.70/1.33 % (4115633)Peak memory usage: 94 MB
% 2.70/1.33 % (4115633)Instructions burned: 131 (million)
% 2.70/1.33 % (4115632)Instruction limit reached!
% 2.70/1.33 % (4115632)------------------------------
% 2.70/1.33 % (4115632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (4115632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (4115632)CaDiCaL version: 2.1.3
% 2.70/1.33 % (4115632)Termination reason: Instruction limit
% 2.70/1.33 % (4115632)Termination phase: Preprocessing 3
% 2.70/1.33 % (4115632)Time elapsed: 0.082 s
% 2.70/1.33 % (4115632)Peak memory usage: 94 MB
% 2.70/1.33 % (4115632)Instructions burned: 140 (million)
% 2.70/1.33 % (4115635)lrs+10_1_sil=8000:sp=occurrence:random_seed=321635763:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.70/1.33 % (4115635)First to succeed.
% 2.70/1.33 % (4115635)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4115622"
% 2.70/1.33 % (4115642)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1255025501:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.70/1.33 % (4115643)lrs+1011_1_sil=32000:sp=occurrence:random_seed=235643560:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.70/1.33 % (4115630)------------------------------
% 2.70/1.33 % (4115630)------------------------------
% 2.70/1.33 % (4115643)Refutation not found, incomplete strategy
% 4.05/1.42 % (4115643)------------------------------
% 4.05/1.42 % (4115643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.42 % (4115643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.42 % (4115643)CaDiCaL version: 2.1.3
% 4.05/1.42 % (4115643)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.42 % (4115643)Time elapsed: 0.021 s
% 4.05/1.42 % (4115643)Peak memory usage: 94 MB
% 4.05/1.42 % (4115643)Instructions burned: 34 (million)
% 4.05/1.42 % (4115642)Refutation not found, incomplete strategy
% 4.05/1.42 % (4115642)------------------------------
% 4.05/1.42 % (4115642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.42 % (4115642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.42 % (4115642)CaDiCaL version: 2.1.3
% 4.05/1.42 % (4115642)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.42 % (4115642)Time elapsed: 0.040 s
% 4.05/1.42 % (4115642)Peak memory usage: 94 MB
% 4.05/1.42 % (4115642)Instructions burned: 82 (million)
% 4.05/1.42 % (4115635)Refutation found. Thanks to Tanya!
% 4.05/1.42 % SZS status Theorem for theBenchmark
% 4.05/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.43 % (4115635)------------------------------
% 4.05/1.43 % (4115635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.43 % (4115635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.43 % (4115635)CaDiCaL version: 2.1.3
% 4.05/1.43 % (4115635)Termination reason: Refutation
% 4.05/1.43 % (4115635)Time elapsed: 0.027 s
% 4.05/1.43 % (4115635)Peak memory usage: 97 MB
% 4.05/1.43 % (4115635)Instructions burned: 87 (million)
% 4.05/1.43 % (4115635)------------------------------
% 4.05/1.43 % (4115635)------------------------------
% 4.05/1.43 % (4115622)Success in time 0.668 s
% 4.05/1.43 % Vampire exiting
%------------------------------------------------------------------------------