%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR090+5 : 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 : 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 09:42:52 AM UTC 2026
% Result : Theorem 0.18s 1.61s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 68 ~; 54 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% 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(f1009,axiom,
s__subclass(s__TimeInterval,s__TimePosition),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1012) ).
fof(f1499,axiom,
! [X0,X1,X2] :
( ( s__instance(X2,s__TimePosition)
& s__instance(X1,s__TimePosition)
& s__instance(X0,s__TimePosition) )
=> ( ( s__temporalPart(X0,X1)
& s__temporalPart(X1,X2) )
=> s__temporalPart(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1502) ).
fof(f16749,axiom,
s__instance(s__Time17_1,s__TimeInterval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
fof(f16750,axiom,
s__instance(s__Time17_2,s__TimeInterval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).
fof(f16751,axiom,
s__instance(s__Time17_3,s__TimeInterval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).
fof(f16752,axiom,
s__temporalPart(s__Time17_1,s__Time17_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_4) ).
fof(f16753,axiom,
s__temporalPart(s__Time17_2,s__Time17_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_5) ).
fof(f16754,conjecture,
s__temporalPart(s__Time17_1,s__Time17_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f16755,negated_conjecture,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(negated_conjecture,[status(cth)],[f16754]) ).
fof(f16756,plain,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(flattening,[],[f16755]) ).
fof(f16771,plain,
! [X0,X1,X2] :
( s__temporalPart(X0,X2)
| ~ s__temporalPart(X0,X1)
| ~ s__temporalPart(X1,X2)
| ~ s__instance(X2,s__TimePosition)
| ~ s__instance(X1,s__TimePosition)
| ~ s__instance(X0,s__TimePosition) ),
inference(ennf_transformation,[],[f1499]) ).
fof(f16772,plain,
! [X0,X1,X2] :
( s__temporalPart(X0,X2)
| ~ s__temporalPart(X0,X1)
| ~ s__temporalPart(X1,X2)
| ~ s__instance(X2,s__TimePosition)
| ~ s__instance(X1,s__TimePosition)
| ~ s__instance(X0,s__TimePosition) ),
inference(flattening,[],[f16771]) ).
fof(f16819,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(f16820,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,[],[f16819]) ).
fof(f16821,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f16826,plain,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(cnf_transformation,[],[f16756]) ).
fof(f16838,plain,
! [X2,X0,X1] :
( s__temporalPart(X0,X2)
| ~ s__temporalPart(X0,X1)
| ~ s__temporalPart(X1,X2)
| ~ s__instance(X2,s__TimePosition)
| ~ s__instance(X1,s__TimePosition)
| ~ s__instance(X0,s__TimePosition) ),
inference(cnf_transformation,[],[f16772]) ).
fof(f16841,plain,
s__temporalPart(s__Time17_1,s__Time17_2),
inference(cnf_transformation,[],[f16752]) ).
fof(f16842,plain,
s__instance(s__Time17_1,s__TimeInterval),
inference(cnf_transformation,[],[f16749]) ).
fof(f16843,plain,
s__temporalPart(s__Time17_2,s__Time17_3),
inference(cnf_transformation,[],[f16753]) ).
fof(f16844,plain,
s__instance(s__Time17_3,s__TimeInterval),
inference(cnf_transformation,[],[f16751]) ).
fof(f16851,plain,
s__subclass(s__TimeInterval,s__TimePosition),
inference(cnf_transformation,[],[f1009]) ).
fof(f16873,plain,
s__instance(s__Time17_2,s__TimeInterval),
inference(cnf_transformation,[],[f16750]) ).
fof(f16876,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,[],[f16820]) ).
fof(f16877,plain,
! [X0,X1] :
( s__instance(X1,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[],[f16821]) ).
fof(f16878,plain,
! [X0,X1] :
( s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[],[f16821]) ).
fof(f16924,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,[],[f16876,f16877]) ).
fof(f16925,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f16924,f16878]) ).
fof(f16958,plain,
! [X0] :
( ~ s__temporalPart(s__Time17_1,X0)
| ~ s__temporalPart(X0,s__Time17_3)
| ~ s__instance(s__Time17_3,s__TimePosition)
| ~ s__instance(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(resolution,[],[f16838,f16826]) ).
fof(f16969,plain,
( ~ s__temporalPart(s__Time17_2,s__Time17_3)
| ~ s__instance(s__Time17_3,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(resolution,[],[f16958,f16841]) ).
fof(f16977,plain,
( ~ s__instance(s__Time17_3,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(forward_subsumption_resolution,[],[f16969,f16843]) ).
fof(f16978,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_3,X0) ),
inference(resolution,[],[f16977,f16925]) ).
fof(f16981,plain,
( ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_3,s__TimeInterval) ),
inference(resolution,[],[f16978,f16851]) ).
fof(f16984,plain,
( ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(forward_subsumption_resolution,[],[f16981,f16844]) ).
fof(f16988,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,X0) ),
inference(resolution,[],[f16984,f16925]) ).
fof(f16993,plain,
( ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimeInterval) ),
inference(resolution,[],[f16988,f16851]) ).
fof(f16997,plain,
~ s__instance(s__Time17_1,s__TimePosition),
inference(forward_subsumption_resolution,[],[f16993,f16873]) ).
fof(f17002,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,X0) ),
inference(resolution,[],[f16997,f16925]) ).
fof(f17011,plain,
~ s__instance(s__Time17_1,s__TimeInterval),
inference(resolution,[],[f17002,f16851]) ).
fof(f17015,plain,
$false,
inference(forward_subsumption_resolution,[],[f17011,f16842]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR090+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n016.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 22:44:48 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 0.18/1.61 % (4120107)Detected formulas, will run a generic FOF schedule.
% 0.18/1.61 % (4120116)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=722362612:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 0.18/1.61 % (4120116)First to succeed.
% 0.18/1.61 % (4120116)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4120107"
% 0.18/1.61 % (4120113)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=4060031916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 0.18/1.61 % (4120118)dis-21_1_sil=8000:lcm=predicate:random_seed=1452211142: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)
% 0.18/1.61 % (4120114)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=4247764846:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 0.18/1.61 % (4120117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1438302111:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 0.18/1.61 % (4120112)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=126327605:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 0.18/1.61 % (4120115)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=378024171:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 0.18/1.61 % (4120115)Refutation not found, incomplete strategy
% 0.18/1.61 % (4120115)------------------------------
% 0.18/1.61 % (4120115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.61 % (4120115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.61 % (4120115)CaDiCaL version: 2.1.3
% 0.18/1.61 % (4120115)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.61 % (4120115)Time elapsed: 0.042 s
% 0.18/1.61 % (4120115)Peak memory usage: 103 MB
% 0.18/1.61 % (4120115)Instructions burned: 60 (million)
% 0.18/1.61 % (4120117)Instruction limit reached!
% 0.18/1.61 % (4120117)------------------------------
% 0.18/1.61 % (4120117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.61 % (4120117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.61 % (4120117)CaDiCaL version: 2.1.3
% 0.18/1.61 % (4120117)Termination reason: Instruction limit
% 0.18/1.61 % (4120117)Termination phase: SInE selection
% 0.18/1.61 % (4120117)Time elapsed: 0.072 s
% 0.18/1.61 % (4120117)Peak memory usage: 99 MB
% 0.18/1.61 % (4120117)Instructions burned: 139 (million)
% 0.18/1.61 % (4120118)Instruction limit reached!
% 0.18/1.61 % (4120118)------------------------------
% 0.18/1.61 % (4120118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.61 % (4120118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.61 % (4120118)CaDiCaL version: 2.1.3
% 0.18/1.61 % (4120118)Termination reason: Instruction limit
% 0.18/1.61 % (4120118)Termination phase: Saturation
% 0.18/1.61 % (4120118)Time elapsed: 0.087 s
% 0.18/1.61 % (4120118)Peak memory usage: 101 MB
% 0.18/1.61 % (4120118)Instructions burned: 130 (million)
% 0.18/1.61 % (4120116)Refutation found. Thanks to Tanya!
% 0.18/1.61 % SZS status Theorem for theBenchmark
% 0.18/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.61 % (4120116)------------------------------
% 0.18/1.61 % (4120116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.61 % (4120116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.61 % (4120116)CaDiCaL version: 2.1.3
% 0.18/1.61 % (4120116)Termination reason: Refutation
% 0.18/1.61 % (4120116)Time elapsed: 0.029 s
% 0.18/1.61 % (4120116)Peak memory usage: 103 MB
% 0.18/1.61 % (4120116)Instructions burned: 69 (million)
% 0.18/1.61 % (4120116)------------------------------
% 0.18/1.61 % (4120116)------------------------------
% 0.18/1.61 % (4120107)Success in time 0.748 s
% 0.18/1.61 % Vampire exiting
%------------------------------------------------------------------------------