%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR101+6 : 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 09:43:02 AM UTC 2026
% Result : Theorem 6.57s 3.26s
% Output : Refutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% 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(f26456,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_26635) ).
fof(f26457,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_26636) ).
fof(f55594,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_8) ).
fof(f55595,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_9) ).
fof(f55596,conjecture,
! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(f55597,negated_conjecture,
~ ! [X0] :
( s__instance(X0,s__Class32_2)
=> s__instance(X0,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f55596]) ).
fof(f55598,plain,
? [X0] :
( ~ s__instance(X0,s__Class32_1)
& s__instance(X0,s__Class32_2) ),
inference(ennf_transformation,[],[f55597]) ).
fof(f55602,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,[],[f26457]) ).
fof(f55603,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,[],[f55602]) ).
fof(f55604,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26456]) ).
fof(f55605,plain,
( ~ s__instance(sK0,s__Class32_1)
& s__instance(sK0,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f55598]) ).
fof(f55606,plain,
s__instance(sK0,s__Class32_2),
inference(cnf_transformation,[],[f55605]) ).
fof(f55607,plain,
~ s__instance(sK0,s__Class32_1),
inference(cnf_transformation,[],[f55605]) ).
fof(f55608,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[],[f55595]) ).
fof(f55612,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[],[f55594]) ).
fof(f55617,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,[],[f55603]) ).
fof(f55618,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f55604]) ).
fof(f55619,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f55604]) ).
fof(f55625,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,[],[f55617,f55618]) ).
fof(f55627,plain,
! [X2,X0,X1] :
( ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| s__instance(X2,X1) ),
inference(forward_subsumption_resolution,[],[f55625,f55619]) ).
fof(f55655,plain,
! [X0] :
( ~ s__subclass(s__Class32_2,X0)
| s__instance(sK0,X0) ),
inference(resolution,[],[f55627,f55606]) ).
fof(f55656,plain,
s__instance(sK0,s__Class32_3),
inference(resolution,[],[f55655,f55612]) ).
fof(f55667,plain,
! [X0] :
( ~ s__subclass(s__Class32_3,X0)
| s__instance(sK0,X0) ),
inference(resolution,[],[f55656,f55627]) ).
fof(f55673,plain,
s__instance(sK0,s__Class32_1),
inference(resolution,[],[f55667,f55608]) ).
fof(f55675,plain,
$false,
inference(forward_subsumption_resolution,[],[f55673,f55607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR101+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.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 22:55:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 6.57/3.26 % (4129792)Detected formulas, will run a generic FOF schedule.
% 6.57/3.26 % (4129801)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=284594396:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 6.57/3.26 % (4129801)Instruction limit reached!
% 6.57/3.26 % (4129801)------------------------------
% 6.57/3.26 % (4129801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129801)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129801)Termination reason: Instruction limit
% 6.57/3.26 % (4129801)Termination phase: SInE selection
% 6.57/3.26 % (4129801)Time elapsed: 0.044 s
% 6.57/3.26 % (4129801)Peak memory usage: 139 MB
% 6.57/3.26 % (4129801)Instructions burned: 121 (million)
% 6.57/3.26 % (4129798)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=201632849:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 6.57/3.26 % (4129800)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1087234725:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 6.57/3.26 % (4129797)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=2774860620:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 6.57/3.26 % (4129803)dis-21_1_sil=8000:lcm=predicate:random_seed=1784816732:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 6.57/3.26 % (4129799)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=199917283:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 6.57/3.26 % (4129802)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3381960935:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 6.57/3.26 % (4129800)Instruction limit reached!
% 6.57/3.26 % (4129800)------------------------------
% 6.57/3.26 % (4129800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129800)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129800)Termination reason: Instruction limit
% 6.57/3.26 % (4129800)Termination phase: SInE selection
% 6.57/3.26 % (4129800)Time elapsed: 0.066 s
% 6.57/3.26 % (4129800)Peak memory usage: 138 MB
% 6.57/3.26 % (4129800)Instructions burned: 110 (million)
% 6.57/3.26 % (4129803)Instruction limit reached!
% 6.57/3.26 % (4129803)------------------------------
% 6.57/3.26 % (4129803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129803)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129803)Termination reason: Instruction limit
% 6.57/3.26 % (4129803)Termination phase: SInE selection
% 6.57/3.26 % (4129803)Time elapsed: 0.074 s
% 6.57/3.26 % (4129803)Peak memory usage: 139 MB
% 6.57/3.26 % (4129803)Instructions burned: 129 (million)
% 6.57/3.26 % (4129802)Instruction limit reached!
% 6.57/3.26 % (4129802)------------------------------
% 6.57/3.26 % (4129802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129802)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129802)Termination reason: Instruction limit
% 6.57/3.26 % (4129802)Termination phase: Property scanning
% 6.57/3.26 % (4129802)Time elapsed: 0.077 s
% 6.57/3.26 % (4129802)Peak memory usage: 138 MB
% 6.57/3.26 % (4129802)Instructions burned: 140 (million)
% 6.57/3.26 % (4129811)lrs+10_1_sil=8000:sp=occurrence:random_seed=731953220:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 6.57/3.26 % (4129811)First to succeed.
% 6.57/3.26 % (4129811)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4129792"
% 6.57/3.26 % (4129812)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2219155055:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 6.57/3.26 % (4129813)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3913180065:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 6.57/3.26 % (4129814)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=1854744564:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 6.57/3.26 % (4129812)Instruction limit reached!
% 6.57/3.26 % (4129812)------------------------------
% 6.57/3.26 % (4129812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129812)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129812)Termination reason: Instruction limit
% 6.57/3.26 % (4129812)Termination phase: Property scanning
% 6.57/3.26 % (4129812)Time elapsed: 0.084 s
% 6.57/3.26 % (4129812)Peak memory usage: 138 MB
% 6.57/3.26 % (4129812)Instructions burned: 158 (million)
% 6.57/3.26 % (4129814)Instruction limit reached!
% 6.57/3.26 % (4129814)------------------------------
% 6.57/3.26 % (4129814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129814)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129814)Termination reason: Instruction limit
% 6.57/3.26 % (4129814)Termination phase: Property scanning
% 6.57/3.26 % (4129814)Time elapsed: 0.121 s
% 6.57/3.26 % (4129814)Peak memory usage: 138 MB
% 6.57/3.26 % (4129814)Instructions burned: 250 (million)
% 6.57/3.26 % (4129813)Refutation not found, incomplete strategy
% 6.57/3.26 % (4129813)------------------------------
% 6.57/3.26 % (4129813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129813)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129813)Termination reason: Refutation not found, incomplete strategy
% 6.57/3.26 % (4129813)Time elapsed: 0.153 s
% 6.57/3.26 % (4129813)Peak memory usage: 144 MB
% 6.57/3.26 % (4129813)Instructions burned: 201 (million)
% 6.57/3.26 % (4129811)Refutation found. Thanks to Tanya!
% 6.57/3.26 % SZS status Theorem for theBenchmark
% 6.57/3.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.57/3.26 % (4129811)------------------------------
% 6.57/3.26 % (4129811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/3.26 % (4129811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/3.26 % (4129811)CaDiCaL version: 2.1.3
% 6.57/3.26 % (4129811)Termination reason: Refutation
% 6.57/3.26 % (4129811)Time elapsed: 0.093 s
% 6.57/3.26 % (4129811)Peak memory usage: 144 MB
% 6.57/3.26 % (4129811)Instructions burned: 208 (million)
% 6.57/3.26 % (4129811)------------------------------
% 6.57/3.26 % (4129811)------------------------------
% 6.57/3.26 % (4129792)Success in time 2.343 s
% 6.57/3.26 % Vampire exiting
%------------------------------------------------------------------------------