%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TIM033_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 02:33:34 PM UTC 2026
% Result : Theorem 3.51s 1.27s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
interval: $tType ).
tff(func_def_0,type,
a: interval ).
tff(func_def_1,type,
b: interval ).
tff(func_def_2,type,
c: interval ).
tff(func_def_3,type,
d: interval ).
tff(pred_def_1,type,
before: ( interval * interval ) > $o ).
tff(pred_def_2,type,
after: ( interval * interval ) > $o ).
tff(pred_def_3,type,
meets: ( interval * interval ) > $o ).
tff(pred_def_4,type,
met_by: ( interval * interval ) > $o ).
tff(pred_def_5,type,
overlaps: ( interval * interval ) > $o ).
tff(pred_def_6,type,
overlapped_by: ( interval * interval ) > $o ).
tff(pred_def_7,type,
starts: ( interval * interval ) > $o ).
tff(pred_def_8,type,
started_by: ( interval * interval ) > $o ).
tff(pred_def_9,type,
during: ( interval * interval ) > $o ).
tff(pred_def_10,type,
contains: ( interval * interval ) > $o ).
tff(pred_def_11,type,
finishes: ( interval * interval ) > $o ).
tff(pred_def_12,type,
finished_by: ( interval * interval ) > $o ).
tff(f6,axiom,
! [X0: interval,X1: interval] :
( finishes(X0,X1)
<=> finished_by(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finishes_inverse) ).
tff(f11,axiom,
finishes(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
tff(f12,conjecture,
finished_by(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(f13,negated_conjecture,
~ finished_by(c,d),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f14,plain,
~ finished_by(c,d),
inference(flattening,[],[f13]) ).
tff(f15,plain,
! [X0: interval,X1: interval] :
( finishes(X0,X1)
=> finished_by(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
tff(f16,plain,
! [X0: interval,X1: interval] :
( finished_by(X1,X0)
| ~ finishes(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
~ finished_by(c,d),
inference(cnf_transformation,[],[f14]) ).
tff(f18,plain,
finishes(d,c),
inference(cnf_transformation,[],[f11]) ).
tff(f19,plain,
! [X0: interval,X1: interval] :
( finished_by(X1,X0)
| ~ finishes(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f20,plain,
~ finishes(d,c),
inference(resolution,[],[f19,f17]) ).
tff(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM033_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n003.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 18:49:43 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.51/1.27 % (1867862)Detected formulas, will run a generic FOF schedule.
% 3.51/1.27 % (1867867)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=2570613836:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.51/1.27 % (1867871)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3059708516:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.51/1.27 % (1867873)dis-21_1_sil=8000:lcm=predicate:random_seed=3069098969:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.51/1.27 % (1867870)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2217461092:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.51/1.27 % (1867868)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=4257435537:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.51/1.27 % (1867869)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=552744219:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.51/1.27 % (1867872)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1240607650:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.51/1.27 % (1867870)Refutation not found, incomplete strategy
% 3.51/1.27 % (1867870)------------------------------
% 3.51/1.27 % (1867870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.27 % (1867870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.27 % (1867870)CaDiCaL version: 2.1.3
% 3.51/1.27 % (1867870)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.27 % (1867870)Time elapsed: 0.001 s
% 3.51/1.27 % (1867870)Peak memory usage: 87 MB
% 3.51/1.27 % (1867873)Also succeeded, but the first one will report.
% 3.51/1.27 % (1867871)First to succeed.
% 3.51/1.27 % (1867872)Also succeeded, but the first one will report.
% 3.51/1.27 % (1867871)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1867862"
% 3.51/1.27 % (1867870)------------------------------
% 3.51/1.27 % (1867870)------------------------------
% 3.51/1.27 % (1867871)Refutation found. Thanks to Tanya!
% 3.51/1.27 % SZS status Theorem for theBenchmark
% 3.51/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.27 % (1867871)------------------------------
% 3.51/1.27 % (1867871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.27 % (1867871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.27 % (1867871)CaDiCaL version: 2.1.3
% 3.51/1.27 % (1867871)Termination reason: Refutation
% 3.51/1.27 % (1867871)Time elapsed: 0.001 s
% 3.51/1.27 % (1867871)Peak memory usage: 88 MB
% 3.51/1.27 % (1867871)------------------------------
% 3.51/1.27 % (1867871)------------------------------
% 3.51/1.27 % (1867862)Success in time 0.413 s
% 3.51/1.27 % Vampire exiting
%------------------------------------------------------------------------------