%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR101+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:43:01 AM UTC 2026
% Result : Theorem 4.65s 2.02s
% Output : Refutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 59 ( 26 ~; 22 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 31 ( 30 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0,X1] :
( s__subclass(X0,X1)
=> ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',kb_SUMO_27) ).
fof(f37989,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_8) ).
fof(f37990,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_9) ).
fof(f37991,conjecture,
! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f37992,negated_conjecture,
~ ! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f37991]) ).
fof(f37993,plain,
? [X0] :
( ~ s__instance(X0,s__Class32_1)
& s__instance(X0,s__Class32_2) ),
inference(ennf_transformation,[],[f37992]) ).
fof(f37998,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(f37999,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,[],[f37998]) ).
fof(f38000,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f38001,plain,
( ~ s__instance(sK0,s__Class32_1)
& s__instance(sK0,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f37993]) ).
fof(f38004,plain,
s__instance(sK0,s__Class32_2),
inference(cnf_transformation,[],[f38001]) ).
fof(f38005,plain,
~ s__instance(sK0,s__Class32_1),
inference(cnf_transformation,[],[f38001]) ).
fof(f38006,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[],[f37990]) ).
fof(f38010,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[],[f37989]) ).
fof(f38079,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,[],[f37999]) ).
fof(f38080,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f38000]) ).
fof(f38081,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f38000]) ).
fof(f38082,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,[],[f38079,f38080]) ).
fof(f38085,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f38082,f38081]) ).
fof(f38292,plain,
! [X0] :
( ~ s__instance(X0,s__Class32_2)
| s__instance(X0,s__Class32_3) ),
inference(resolution,[],[f38085,f38010]) ).
fof(f38294,plain,
! [X0] :
( ~ s__instance(X0,s__Class32_3)
| s__instance(X0,s__Class32_1) ),
inference(resolution,[],[f38085,f38006]) ).
fof(f38521,plain,
s__instance(sK0,s__Class32_3),
inference(resolution,[],[f38292,f38004]) ).
fof(f38531,plain,
s__instance(sK0,s__Class32_1),
inference(resolution,[],[f38294,f38521]) ).
fof(f38532,plain,
$false,
inference(forward_subsumption_resolution,[],[f38531,f38005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR101+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:53:23 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 4.65/2.02 % (864602)Detected formulas, will run a generic FOF schedule.
% 4.65/2.02 % (864611)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3423400966:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 4.65/2.02 % (864612)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=535715202:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 4.65/2.02 % (864613)dis-21_1_sil=8000:lcm=predicate:random_seed=1906742945:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 4.65/2.02 % (864607)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=1375633360:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 4.65/2.02 % (864610)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1987774679:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 4.65/2.02 % (864608)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=2015611079:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 4.65/2.02 % (864609)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=2421405799:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 4.65/2.02 % (864611)Instruction limit reached!
% 4.65/2.02 % (864611)------------------------------
% 4.65/2.02 % (864611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864611)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864611)Termination reason: Instruction limit
% 4.65/2.02 % (864611)Termination phase: Saturation
% 4.65/2.02 % (864611)Time elapsed: 0.045 s
% 4.65/2.02 % (864611)Peak memory usage: 108 MB
% 4.65/2.02 % (864611)Instructions burned: 121 (million)
% 4.65/2.02 % (864612)Instruction limit reached!
% 4.65/2.02 % (864612)------------------------------
% 4.65/2.02 % (864612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864612)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864612)Termination reason: Instruction limit
% 4.65/2.02 % (864612)Termination phase: Property scanning
% 4.65/2.02 % (864612)Time elapsed: 0.061 s
% 4.65/2.02 % (864612)Peak memory usage: 104 MB
% 4.65/2.02 % (864612)Instructions burned: 139 (million)
% 4.65/2.02 % (864610)Refutation not found, incomplete strategy
% 4.65/2.02 % (864610)------------------------------
% 4.65/2.02 % (864610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864610)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864610)Termination reason: Refutation not found, incomplete strategy
% 4.65/2.02 % (864610)Time elapsed: 0.061 s
% 4.65/2.02 % (864610)Peak memory usage: 108 MB
% 4.65/2.02 % (864610)Instructions burned: 96 (million)
% 4.65/2.02 % (864613)Instruction limit reached!
% 4.65/2.02 % (864613)------------------------------
% 4.65/2.02 % (864613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864613)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864613)Termination reason: Instruction limit
% 4.65/2.02 % (864613)Termination phase: Preprocessing 1
% 4.65/2.02 % (864613)Time elapsed: 0.081 s
% 4.65/2.02 % (864613)Peak memory usage: 105 MB
% 4.65/2.02 % (864613)Instructions burned: 129 (million)
% 4.65/2.02 % (864621)lrs+10_1_sil=8000:sp=occurrence:random_seed=4192287939:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 4.65/2.02 % (864621)First to succeed.
% 4.65/2.02 % (864621)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-864602"
% 4.65/2.02 % (864622)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1152959451:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 4.65/2.02 % (864623)lrs+1011_1_sil=32000:sp=occurrence:random_seed=463205526:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 4.65/2.02 % (864622)Instruction limit reached!
% 4.65/2.02 % (864622)------------------------------
% 4.65/2.02 % (864622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864622)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864622)Termination reason: Instruction limit
% 4.65/2.02 % (864622)Termination phase: SInE selection
% 4.65/2.02 % (864622)Time elapsed: 0.069 s
% 4.65/2.02 % (864622)Peak memory usage: 104 MB
% 4.65/2.02 % (864622)Instructions burned: 158 (million)
% 4.65/2.02 % (864623)Refutation not found, incomplete strategy
% 4.65/2.02 % (864623)------------------------------
% 4.65/2.02 % (864623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864623)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864623)Termination reason: Refutation not found, incomplete strategy
% 4.65/2.02 % (864623)Time elapsed: 0.058 s
% 4.65/2.02 % (864623)Peak memory usage: 109 MB
% 4.65/2.02 % (864623)Instructions burned: 85 (million)
% 4.65/2.02 % (864610)------------------------------
% 4.65/2.02 % (864610)------------------------------
% 4.65/2.02 % (864621)Refutation found. Thanks to Tanya!
% 4.65/2.02 % SZS status Theorem for theBenchmark
% 4.65/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 4.65/2.02 % (864621)------------------------------
% 4.65/2.02 % (864621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/2.02 % (864621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/2.02 % (864621)CaDiCaL version: 2.1.3
% 4.65/2.02 % (864621)Termination reason: Refutation
% 4.65/2.02 % (864621)Time elapsed: 0.041 s
% 4.65/2.02 % (864621)Peak memory usage: 109 MB
% 4.65/2.02 % (864621)Instructions burned: 96 (million)
% 4.65/2.02 % (864621)------------------------------
% 4.65/2.02 % (864621)------------------------------
% 4.65/2.02 % (864602)Success in time 1.154 s
% 4.65/2.02 % Vampire exiting
%------------------------------------------------------------------------------