%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR101+1 : 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 : n015.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 5.79s 1.86s
% Output : Refutation 5.79s
% 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/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(f14795,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_8) ).
fof(f14796,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_9) ).
fof(f14797,conjecture,
! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(f14798,negated_conjecture,
~ ! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f14797]) ).
fof(f14800,plain,
? [X0] :
( ~ s__instance(X0,s__Class32_1)
& s__instance(X0,s__Class32_2) ),
inference(ennf_transformation,[],[f14798]) ).
fof(f14805,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(f14806,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,[],[f14805]) ).
fof(f14807,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f14808,plain,
( ~ s__instance(sK0,s__Class32_1)
& s__instance(sK0,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f14800]) ).
fof(f14811,plain,
s__instance(sK0,s__Class32_2),
inference(cnf_transformation,[],[f14808]) ).
fof(f14812,plain,
~ s__instance(sK0,s__Class32_1),
inference(cnf_transformation,[],[f14808]) ).
fof(f14813,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[],[f14796]) ).
fof(f14817,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[],[f14795]) ).
fof(f14879,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,[],[f14806]) ).
fof(f14880,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f14807]) ).
fof(f14881,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f14807]) ).
fof(f14882,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,[],[f14879,f14880]) ).
fof(f14885,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f14882,f14881]) ).
fof(f15073,plain,
! [X0] :
( ~ s__instance(X0,s__Class32_2)
| s__instance(X0,s__Class32_3) ),
inference(resolution,[],[f14885,f14817]) ).
fof(f15075,plain,
! [X0] :
( ~ s__instance(X0,s__Class32_3)
| s__instance(X0,s__Class32_1) ),
inference(resolution,[],[f14885,f14813]) ).
fof(f15299,plain,
s__instance(sK0,s__Class32_3),
inference(resolution,[],[f15073,f14811]) ).
fof(f15301,plain,
s__instance(sK0,s__Class32_1),
inference(resolution,[],[f15075,f15299]) ).
fof(f15302,plain,
$false,
inference(forward_subsumption_resolution,[],[f15301,f14812]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR101+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:53:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 5.79/1.86 % (3119340)Detected formulas, will run a generic FOF schedule.
% 5.79/1.86 % (3119347)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=2052251836:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 5.79/1.86 % (3119349)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2167076548:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 5.79/1.86 % (3119345)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=673254156:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 5.79/1.86 % (3119348)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3213775357:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 5.79/1.86 % (3119350)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3701020451:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 5.79/1.86 % (3119351)dis-21_1_sil=8000:lcm=predicate:random_seed=3747484594: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)
% 5.79/1.86 % (3119346)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=2192994403:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 5.79/1.86 % (3119348)Refutation not found, incomplete strategy
% 5.79/1.86 % (3119348)------------------------------
% 5.79/1.86 % (3119348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119348)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119348)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.86 % (3119348)Time elapsed: 0.030 s
% 5.79/1.86 % (3119348)Peak memory usage: 96 MB
% 5.79/1.86 % (3119348)Instructions burned: 60 (million)
% 5.79/1.86 % (3119349)Instruction limit reached!
% 5.79/1.86 % (3119349)------------------------------
% 5.79/1.86 % (3119349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119349)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119349)Termination reason: Instruction limit
% 5.79/1.86 % (3119349)Termination phase: Saturation
% 5.79/1.86 % (3119349)Time elapsed: 0.053 s
% 5.79/1.86 % (3119349)Peak memory usage: 96 MB
% 5.79/1.86 % (3119349)Instructions burned: 119 (million)
% 5.79/1.86 % (3119350)Instruction limit reached!
% 5.79/1.86 % (3119350)------------------------------
% 5.79/1.86 % (3119350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119350)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119350)Termination reason: Instruction limit
% 5.79/1.86 % (3119350)Termination phase: Preprocessing 1
% 5.79/1.86 % (3119350)Time elapsed: 0.064 s
% 5.79/1.86 % (3119350)Peak memory usage: 94 MB
% 5.79/1.86 % (3119350)Instructions burned: 139 (million)
% 5.79/1.86 % (3119351)Instruction limit reached!
% 5.79/1.86 % (3119351)------------------------------
% 5.79/1.86 % (3119351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119351)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119351)Termination reason: Instruction limit
% 5.79/1.86 % (3119351)Termination phase: Preprocessing 3
% 5.79/1.86 % (3119351)Time elapsed: 0.075 s
% 5.79/1.86 % (3119351)Peak memory usage: 96 MB
% 5.79/1.86 % (3119351)Instructions burned: 130 (million)
% 5.79/1.86 % (3119359)lrs+10_1_sil=8000:sp=occurrence:random_seed=899502197:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 5.79/1.86 % (3119360)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3892509511:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 5.79/1.86 % (3119359)First to succeed.
% 5.79/1.86 % (3119359)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3119340"
% 5.79/1.86 % (3119361)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2976937955:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 5.79/1.86 % (3119361)Refutation not found, incomplete strategy
% 5.79/1.86 % (3119361)------------------------------
% 5.79/1.86 % (3119361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119361)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119361)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.86 % (3119361)Time elapsed: 0.031 s
% 5.79/1.86 % (3119361)Peak memory usage: 97 MB
% 5.79/1.86 % (3119361)Instructions burned: 57 (million)
% 5.79/1.86 % (3119348)------------------------------
% 5.79/1.86 % (3119348)------------------------------
% 5.79/1.86 % (3119360)Refutation not found, incomplete strategy
% 5.79/1.86 % (3119360)------------------------------
% 5.79/1.86 % (3119360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119360)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119360)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.86 % (3119360)Time elapsed: 0.058 s
% 5.79/1.86 % (3119360)Peak memory usage: 97 MB
% 5.79/1.86 % (3119360)Instructions burned: 127 (million)
% 5.79/1.86 % (3119347)Refutation not found, incomplete strategy
% 5.79/1.86 % (3119347)------------------------------
% 5.79/1.86 % (3119347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119347)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119347)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.86 % (3119347)Time elapsed: 0.419 s
% 5.79/1.86 % (3119347)Peak memory usage: 152 MB
% 5.79/1.86 % (3119347)Instructions burned: 1170 (million)
% 5.79/1.86 % (3119365)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=395756958:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 5.79/1.86 % (3119359)Refutation found. Thanks to Tanya!
% 5.79/1.86 % SZS status Theorem for theBenchmark
% 5.79/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 5.79/1.86 % (3119359)------------------------------
% 5.79/1.86 % (3119359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.86 % (3119359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.86 % (3119359)CaDiCaL version: 2.1.3
% 5.79/1.86 % (3119359)Termination reason: Refutation
% 5.79/1.86 % (3119359)Time elapsed: 0.036 s
% 5.79/1.86 % (3119359)Peak memory usage: 97 MB
% 5.79/1.86 % (3119359)Instructions burned: 66 (million)
% 5.79/1.86 % (3119359)------------------------------
% 5.79/1.86 % (3119359)------------------------------
% 5.79/1.86 % (3119340)Success in time 0.972 s
% 5.79/1.86 % Vampire exiting
%------------------------------------------------------------------------------