%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR090+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 : 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 3.53s 1.84s
% Output : Refutation 3.53s
% 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(f37982,axiom,
s__instance(s__Time17_1,s__TimeInterval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
fof(f37983,axiom,
s__instance(s__Time17_2,s__TimeInterval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).
fof(f37984,axiom,
s__instance(s__Time17_3,s__TimeInterval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).
fof(f37985,axiom,
s__temporalPart(s__Time17_1,s__Time17_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_4) ).
fof(f37986,axiom,
s__temporalPart(s__Time17_2,s__Time17_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_5) ).
fof(f37987,conjecture,
s__temporalPart(s__Time17_1,s__Time17_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f37988,negated_conjecture,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(negated_conjecture,[status(cth)],[f37987]) ).
fof(f37989,plain,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(flattening,[],[f37988]) ).
fof(f38004,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(f38005,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,[],[f38004]) ).
fof(f38056,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(f38057,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,[],[f38056]) ).
fof(f38058,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f38064,plain,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(cnf_transformation,[],[f37989]) ).
fof(f38076,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,[],[f38005]) ).
fof(f38079,plain,
s__temporalPart(s__Time17_1,s__Time17_2),
inference(cnf_transformation,[],[f37985]) ).
fof(f38080,plain,
s__instance(s__Time17_1,s__TimeInterval),
inference(cnf_transformation,[],[f37982]) ).
fof(f38081,plain,
s__temporalPart(s__Time17_2,s__Time17_3),
inference(cnf_transformation,[],[f37986]) ).
fof(f38082,plain,
s__instance(s__Time17_3,s__TimeInterval),
inference(cnf_transformation,[],[f37984]) ).
fof(f38098,plain,
s__subclass(s__TimeInterval,s__TimePosition),
inference(cnf_transformation,[],[f1009]) ).
fof(f38130,plain,
s__instance(s__Time17_2,s__TimeInterval),
inference(cnf_transformation,[],[f37983]) ).
fof(f38152,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,[],[f38057]) ).
fof(f38153,plain,
! [X0,X1] :
( s__instance(X1,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[],[f38058]) ).
fof(f38154,plain,
! [X0,X1] :
( s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[],[f38058]) ).
fof(f38235,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,[],[f38152,f38153]) ).
fof(f38236,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f38235,f38154]) ).
fof(f38255,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,[],[f38076,f38064]) ).
fof(f38266,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,[],[f38255,f38079]) ).
fof(f38274,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,[],[f38266,f38081]) ).
fof(f38275,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,[],[f38274,f38236]) ).
fof(f38279,plain,
( ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_3,s__TimeInterval) ),
inference(resolution,[],[f38275,f38098]) ).
fof(f38281,plain,
( ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(forward_subsumption_resolution,[],[f38279,f38082]) ).
fof(f38285,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,X0) ),
inference(resolution,[],[f38281,f38236]) ).
fof(f38313,plain,
( ~ s__instance(s__Time17_1,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimeInterval) ),
inference(resolution,[],[f38285,f38098]) ).
fof(f38315,plain,
~ s__instance(s__Time17_1,s__TimePosition),
inference(forward_subsumption_resolution,[],[f38313,f38130]) ).
fof(f38320,plain,
! [X0] :
( ~ s__subclass(X0,s__TimePosition)
| ~ s__instance(s__Time17_1,X0) ),
inference(resolution,[],[f38315,f38236]) ).
fof(f38324,plain,
~ s__instance(s__Time17_1,s__TimeInterval),
inference(resolution,[],[f38320,f38098]) ).
fof(f38326,plain,
$false,
inference(forward_subsumption_resolution,[],[f38324,f38080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR090+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n016.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 22:44:34 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 3.53/1.84 % (4119684)Detected formulas, will run a generic FOF schedule.
% 3.53/1.84 % (4119693)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1890808473:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 3.53/1.84 % (4119695)dis-21_1_sil=8000:lcm=predicate:random_seed=3946050339: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)
% 3.53/1.84 % (4119689)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=869494924:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 3.53/1.84 % (4119691)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=761401805:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 3.53/1.84 % (4119690)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=3833798342:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 3.53/1.84 % (4119693)First to succeed.
% 3.53/1.84 % (4119693)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4119684"
% 3.53/1.84 % (4119692)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4247161380:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 3.53/1.84 % (4119694)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4145423455:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 3.53/1.84 % (4119694)Instruction limit reached!
% 3.53/1.84 % (4119694)------------------------------
% 3.53/1.84 % (4119694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.84 % (4119694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.84 % (4119694)CaDiCaL version: 2.1.3
% 3.53/1.84 % (4119694)Termination reason: Instruction limit
% 3.53/1.84 % (4119694)Termination phase: Property scanning
% 3.53/1.84 % (4119694)Time elapsed: 0.062 s
% 3.53/1.84 % (4119694)Peak memory usage: 104 MB
% 3.53/1.84 % (4119694)Instructions burned: 142 (million)
% 3.53/1.84 % (4119692)Refutation not found, incomplete strategy
% 3.53/1.84 % (4119692)------------------------------
% 3.53/1.84 % (4119692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.84 % (4119692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.84 % (4119692)CaDiCaL version: 2.1.3
% 3.53/1.84 % (4119692)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.84 % (4119692)Time elapsed: 0.062 s
% 3.53/1.84 % (4119692)Peak memory usage: 109 MB
% 3.53/1.84 % (4119692)Instructions burned: 98 (million)
% 3.53/1.84 % (4119695)Instruction limit reached!
% 3.53/1.84 % (4119695)------------------------------
% 3.53/1.84 % (4119695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.84 % (4119695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.84 % (4119695)CaDiCaL version: 2.1.3
% 3.53/1.84 % (4119695)Termination reason: Instruction limit
% 3.53/1.84 % (4119695)Termination phase: Preprocessing 1
% 3.53/1.84 % (4119695)Time elapsed: 0.080 s
% 3.53/1.84 % (4119695)Peak memory usage: 105 MB
% 3.53/1.84 % (4119695)Instructions burned: 129 (million)
% 3.53/1.84 % (4119693)Refutation found. Thanks to Tanya!
% 3.53/1.84 % SZS status Theorem for theBenchmark
% 3.53/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.84 % (4119693)------------------------------
% 3.53/1.84 % (4119693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.84 % (4119693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.84 % (4119693)CaDiCaL version: 2.1.3
% 3.53/1.84 % (4119693)Termination reason: Refutation
% 3.53/1.84 % (4119693)Time elapsed: 0.043 s
% 3.53/1.84 % (4119693)Peak memory usage: 109 MB
% 3.53/1.84 % (4119693)Instructions burned: 110 (million)
% 3.53/1.84 % (4119693)------------------------------
% 3.53/1.84 % (4119693)------------------------------
% 3.53/1.84 % (4119684)Success in time 0.986 s
% 3.53/1.84 % Vampire exiting
%------------------------------------------------------------------------------