%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR101+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 : n016.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 5.54s 1.73s
% Output : Refutation 5.54s
% 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(f7225,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_8) ).
fof(f7226,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_9) ).
fof(f7227,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(f7228,negated_conjecture,
~ ! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f7227]) ).
fof(f7230,plain,
? [X0] :
( ~ s__instance(X0,s__Class32_1)
& s__instance(X0,s__Class32_2) ),
inference(ennf_transformation,[],[f7228]) ).
fof(f7234,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(f7235,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,[],[f7234]) ).
fof(f7236,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f7237,plain,
( ~ s__instance(sK0,s__Class32_1)
& s__instance(sK0,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7230]) ).
fof(f7238,plain,
s__instance(sK0,s__Class32_2),
inference(cnf_transformation,[],[f7237]) ).
fof(f7239,plain,
~ s__instance(sK0,s__Class32_1),
inference(cnf_transformation,[],[f7237]) ).
fof(f7240,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[],[f7226]) ).
fof(f7244,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[],[f7225]) ).
fof(f7249,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,[],[f7235]) ).
fof(f7250,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f7236]) ).
fof(f7251,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f7236]) ).
fof(f7257,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,[],[f7249,f7250]) ).
fof(f7259,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f7257,f7251]) ).
fof(f7287,plain,
! [X0] :
( ~ s__instance(X0,s__Class32_2)
| s__instance(X0,s__Class32_3) ),
inference(resolution,[],[f7259,f7244]) ).
fof(f7289,plain,
! [X0] :
( ~ s__instance(X0,s__Class32_3)
| s__instance(X0,s__Class32_1) ),
inference(resolution,[],[f7259,f7240]) ).
fof(f7329,plain,
s__instance(sK0,s__Class32_3),
inference(resolution,[],[f7287,f7238]) ).
fof(f7332,plain,
s__instance(sK0,s__Class32_1),
inference(resolution,[],[f7289,f7329]) ).
fof(f7333,plain,
$false,
inference(forward_subsumption_resolution,[],[f7332,f7239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR101+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.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 22:55:34 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
% 5.54/1.73 % (4129345)Detected formulas, will run a generic FOF schedule.
% 5.54/1.73 % (4129353)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1965925730:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 5.54/1.73 % (4129353)Refutation not found, incomplete strategy
% 5.54/1.73 % (4129353)------------------------------
% 5.54/1.73 % (4129353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129353)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129353)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.73 % (4129353)Time elapsed: 0.012 s
% 5.54/1.73 % (4129353)Peak memory usage: 94 MB
% 5.54/1.73 % (4129353)Instructions burned: 37 (million)
% 5.54/1.73 % (4129350)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=3475210260:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 5.54/1.73 % (4129352)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=2922781324:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 5.54/1.73 % (4129354)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=708013432:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 5.54/1.73 % (4129351)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=2676333199:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 5.54/1.73 % (4129355)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=802890521:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 5.54/1.73 % (4129356)dis-21_1_sil=8000:lcm=predicate:random_seed=4186490188: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)
% 5.54/1.73 % (4129354)Instruction limit reached!
% 5.54/1.73 % (4129354)------------------------------
% 5.54/1.73 % (4129354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129354)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129354)Termination reason: Instruction limit
% 5.54/1.73 % (4129354)Termination phase: Saturation
% 5.54/1.73 % (4129354)Time elapsed: 0.053 s
% 5.54/1.73 % (4129354)Peak memory usage: 94 MB
% 5.54/1.73 % (4129354)Instructions burned: 121 (million)
% 5.54/1.73 % (4129356)Instruction limit reached!
% 5.54/1.73 % (4129356)------------------------------
% 5.54/1.73 % (4129356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129356)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129356)Termination reason: Instruction limit
% 5.54/1.73 % (4129356)Termination phase: Equality proxy
% 5.54/1.73 % (4129356)Time elapsed: 0.072 s
% 5.54/1.73 % (4129356)Peak memory usage: 94 MB
% 5.54/1.73 % (4129356)Instructions burned: 129 (million)
% 5.54/1.73 % (4129355)Instruction limit reached!
% 5.54/1.73 % (4129355)------------------------------
% 5.54/1.73 % (4129355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129355)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129355)Termination reason: Instruction limit
% 5.54/1.73 % (4129355)Termination phase: Preprocessing 3
% 5.54/1.73 % (4129355)Time elapsed: 0.081 s
% 5.54/1.73 % (4129355)Peak memory usage: 94 MB
% 5.54/1.73 % (4129355)Instructions burned: 139 (million)
% 5.54/1.73 % (4129353)------------------------------
% 5.54/1.73 % (4129353)------------------------------
% 5.54/1.73 % (4129364)lrs+10_1_sil=8000:sp=occurrence:random_seed=1932007511:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 5.54/1.73 % (4129366)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1153562189:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.54/1.73 % (4129365)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2050387925:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.54/1.73 % (4129364)First to succeed.
% 5.54/1.73 % (4129364)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4129345"
% 5.54/1.73 % (4129367)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=3546607520:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.54/1.73 % (4129366)Refutation not found, incomplete strategy
% 5.54/1.73 % (4129366)------------------------------
% 5.54/1.73 % (4129366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129366)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129366)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.73 % (4129366)Time elapsed: 0.020 s
% 5.54/1.73 % (4129366)Peak memory usage: 94 MB
% 5.54/1.73 % (4129366)Instructions burned: 34 (million)
% 5.54/1.73 % (4129365)Refutation not found, incomplete strategy
% 5.54/1.73 % (4129365)------------------------------
% 5.54/1.73 % (4129365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129365)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129365)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.73 % (4129365)Time elapsed: 0.039 s
% 5.54/1.73 % (4129365)Peak memory usage: 94 MB
% 5.54/1.73 % (4129365)Instructions burned: 81 (million)
% 5.54/1.73 % (4129367)Instruction limit reached!
% 5.54/1.73 % (4129367)------------------------------
% 5.54/1.73 % (4129367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129367)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129367)Termination reason: Instruction limit
% 5.54/1.73 % (4129367)Termination phase: Saturation
% 5.54/1.73 % (4129367)Time elapsed: 0.070 s
% 5.54/1.73 % (4129367)Peak memory usage: 99 MB
% 5.54/1.73 % (4129367)Instructions burned: 249 (million)
% 5.54/1.73 % (4129372)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3836934675:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 5.54/1.73 % (4129364)Refutation found. Thanks to Tanya!
% 5.54/1.73 % SZS status Theorem for theBenchmark
% 5.54/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 5.54/1.73 % (4129364)------------------------------
% 5.54/1.73 % (4129364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.73 % (4129364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.73 % (4129364)CaDiCaL version: 2.1.3
% 5.54/1.73 % (4129364)Termination reason: Refutation
% 5.54/1.73 % (4129364)Time elapsed: 0.023 s
% 5.54/1.73 % (4129364)Peak memory usage: 95 MB
% 5.54/1.73 % (4129364)Instructions burned: 36 (million)
% 5.54/1.73 % (4129364)------------------------------
% 5.54/1.73 % (4129364)------------------------------
% 5.54/1.73 % (4129345)Success in time 0.857 s
% 5.54/1.73 % Vampire exiting
%------------------------------------------------------------------------------