%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR096+5 : 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 : 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 09:42:57 AM UTC 2026
% Result : Theorem 4.15s 1.71s
% Output : Refutation 4.15s
% 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(f6942,axiom,
s__subclass(s__AstronomicalBody,s__Object),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_7014) ).
fof(f16750,axiom,
s__subclass(s__Planet26_1,s__AstronomicalBody),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).
fof(f16751,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(f16752,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(f16753,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(f16754,axiom,
s__instance(s__Object26_1,s__Planet26_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_6) ).
fof(f16755,axiom,
~ s__attribute(s__Object26_1,s__Solid),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_7) ).
fof(f16756,conjecture,
s__attribute(s__Object26_1,s__HostileToEarthLife),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f16757,negated_conjecture,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(negated_conjecture,[status(cth)],[f16756]) ).
fof(f16758,plain,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(flattening,[],[f16757]) ).
fof(f16761,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,[],[f16752]) ).
fof(f16762,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,[],[f16761]) ).
fof(f16763,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,[],[f16753]) ).
fof(f16764,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,[],[f16763]) ).
fof(f16765,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,[],[f16751]) ).
fof(f16766,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,[],[f16765]) ).
fof(f16770,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(f16771,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,[],[f16770]) ).
fof(f16772,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f16775,plain,
~ s__attribute(s__Object26_1,s__HostileToEarthLife),
inference(cnf_transformation,[],[f16758]) ).
fof(f16776,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,[],[f16762]) ).
fof(f16777,plain,
~ s__attribute(s__Object26_1,s__Solid),
inference(cnf_transformation,[],[f16755]) ).
fof(f16778,plain,
s__instance(s__Object26_1,s__Planet26_1),
inference(cnf_transformation,[],[f16754]) ).
fof(f16779,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,[],[f16764]) ).
fof(f16780,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,[],[f16766]) ).
fof(f16781,plain,
s__subclass(s__Planet26_1,s__AstronomicalBody),
inference(cnf_transformation,[],[f16750]) ).
fof(f16785,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,[],[f16771]) ).
fof(f16786,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f16772]) ).
fof(f16787,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f16772]) ).
fof(f16788,plain,
s__subclass(s__AstronomicalBody,s__Object),
inference(cnf_transformation,[],[f6942]) ).
fof(f16792,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,[],[f16785,f16786]) ).
fof(f16794,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f16792,f16787]) ).
fof(f16808,plain,
! [X0] :
( ~ s__instance(X0,s__Planet26_1)
| s__instance(X0,s__AstronomicalBody) ),
inference(resolution,[],[f16794,f16781]) ).
fof(f16809,plain,
! [X0] :
( ~ s__instance(X0,s__AstronomicalBody)
| s__instance(X0,s__Object) ),
inference(resolution,[],[f16794,f16788]) ).
fof(f16816,plain,
( s__attribute(s__Object26_1,s__HostileToEarthLife)
| s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolution,[],[f16776,f16778]) ).
fof(f16817,plain,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(forward_subsumption_resolution,[],[f16816,f16775]) ).
fof(f16819,definition,
( spl0_1
<=> s__instance(s__Object26_1,s__Object) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f16820,plain,
( s__instance(s__Object26_1,s__Object)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16819]) ).
fof(f16821,plain,
( ~ s__instance(s__Object26_1,s__Object)
| spl0_1 ),
inference(avatar_component_clause,[],[f16819]) ).
fof(f16823,definition,
( spl0_2
<=> s__attribute(s__Object26_1,s__Earthlike) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f16825,plain,
( s__attribute(s__Object26_1,s__Earthlike)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16823]) ).
fof(f16826,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16817,f16823,f16819]) ).
fof(f16832,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| s__attribute(s__Object26_1,s__Solid)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(resolution,[],[f16780,f16778]) ).
fof(f16837,plain,
s__instance(s__Object26_1,s__AstronomicalBody),
inference(resolution,[],[f16808,f16778]) ).
fof(f16860,plain,
s__instance(s__Object26_1,s__Object),
inference(resolution,[],[f16837,f16809]) ).
fof(f16861,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f16860,f16821]) ).
fof(f16862,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f16861]) ).
fof(f16863,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object) ),
inference(forward_subsumption_resolution,[],[f16832,f16777]) ).
fof(f16864,plain,
( s__attribute(s__Object26_1,s__Gaseous)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f16863,f16820]) ).
fof(f16865,plain,
( ~ s__instance(s__Object26_1,s__Planet26_1)
| ~ s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object)
| ~ spl0_2 ),
inference(resolution,[],[f16825,f16779]) ).
fof(f16866,plain,
( ~ s__attribute(s__Object26_1,s__Gaseous)
| ~ s__instance(s__Object26_1,s__Object)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f16865,f16778]) ).
fof(f16867,plain,
( ~ s__instance(s__Object26_1,s__Object)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f16866,f16864]) ).
fof(f16868,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f16867,f16820]) ).
fof(f16869,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f16868]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f16826]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f16862]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f16869]) ).
cnf(s4,plain,
~ spl0_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f16870,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR096+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n001.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 22:51:34 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 1.92/1.51 % (833205)Detected formulas, will run a generic FOF schedule.
% 1.92/1.51 % (833214)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2372173707:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 1.92/1.51 % (833214)Instruction limit reached!
% 1.92/1.51 % (833214)------------------------------
% 1.92/1.51 % (833214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.92/1.51 % (833214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/1.51 % (833214)CaDiCaL version: 2.1.3
% 1.92/1.51 % (833214)Termination reason: Instruction limit
% 1.92/1.51 % (833214)Termination phase: Saturation
% 1.92/1.51 % (833214)Time elapsed: 0.040 s
% 1.92/1.51 % (833214)Peak memory usage: 102 MB
% 1.92/1.51 % (833214)Instructions burned: 121 (million)
% 1.92/1.51 % (833216)dis-21_1_sil=8000:lcm=predicate:random_seed=3202823336:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 1.92/1.51 % (833211)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=2191388938:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 1.92/1.51 % (833213)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3518857827:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 1.92/1.51 % (833212)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=3288195047:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 1.92/1.51 % (833210)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=2891964514:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 1.92/1.51 % (833215)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4159393657:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 1.92/1.51 % (833213)Refutation not found, incomplete strategy
% 1.92/1.51 % (833213)------------------------------
% 1.92/1.51 % (833213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.92/1.51 % (833213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/1.51 % (833213)CaDiCaL version: 2.1.3
% 1.92/1.51 % (833213)Termination reason: Refutation not found, incomplete strategy
% 1.92/1.51 % (833213)Time elapsed: 0.041 s
% 1.92/1.51 % (833213)Peak memory usage: 102 MB
% 1.92/1.51 % (833213)Instructions burned: 60 (million)
% 1.92/1.51 % (833215)Instruction limit reached!
% 1.92/1.51 % (833215)------------------------------
% 1.92/1.51 % (833215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.92/1.51 % (833215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/1.51 % (833215)CaDiCaL version: 2.1.3
% 1.92/1.51 % (833215)Termination reason: Instruction limit
% 1.92/1.51 % (833215)Termination phase: SInE selection
% 1.92/1.51 % (833215)Time elapsed: 0.077 s
% 1.92/1.51 % (833215)Peak memory usage: 99 MB
% 1.92/1.51 % (833215)Instructions burned: 139 (million)
% 1.92/1.51 % (833216)Instruction limit reached!
% 1.92/1.51 % (833216)------------------------------
% 1.92/1.51 % (833216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.92/1.51 % (833216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/1.51 % (833216)CaDiCaL version: 2.1.3
% 1.92/1.51 % (833216)Termination reason: Instruction limit
% 1.92/1.51 % (833216)Termination phase: Property scanning
% 1.92/1.51 % (833216)Time elapsed: 0.087 s
% 1.92/1.51 % (833216)Peak memory usage: 101 MB
% 1.92/1.51 % (833216)Instructions burned: 131 (million)
% 1.92/1.51 % (833223)lrs+10_1_sil=8000:sp=occurrence:random_seed=829195420:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 1.92/1.51 % (833223)First to succeed.
% 1.92/1.51 % (833223)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-833205"
% 1.92/1.51 % (833226)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2532621580:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 1.92/1.51 % (833227)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2333939927:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 1.92/1.51 % (833227)Refutation not found, incomplete strategy
% 1.92/1.51 % (833227)------------------------------
% 1.92/1.51 % (833227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.71 % (833227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.71 % (833227)CaDiCaL version: 2.1.3
% 4.15/1.71 % (833227)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.71 % (833227)Time elapsed: 0.038 s
% 4.15/1.71 % (833227)Peak memory usage: 102 MB
% 4.15/1.71 % (833227)Instructions burned: 47 (million)
% 4.15/1.71 % (833223)Refutation found. Thanks to Tanya!
% 4.15/1.71 % SZS status Theorem for theBenchmark
% 4.15/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.71 % (833223)------------------------------
% 4.15/1.71 % (833223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.71 % (833223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.71 % (833223)CaDiCaL version: 2.1.3
% 4.15/1.71 % (833223)Termination reason: Refutation
% 4.15/1.71 % (833223)Time elapsed: 0.025 s
% 4.15/1.71 % (833223)Peak memory usage: 104 MB
% 4.15/1.71 % (833223)Instructions burned: 52 (million)
% 4.15/1.71 % (833223)------------------------------
% 4.15/1.71 % (833223)------------------------------
% 4.15/1.71 % (833205)Success in time 0.86 s
% 4.15/1.71 % Vampire exiting
%------------------------------------------------------------------------------