%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TIM031_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 2.03s 0.67s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 27 ~; 12 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?; 18 :)
% 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(func_def_4,type,
e: interval ).
tff(func_def_5,type,
f: interval ).
tff(func_def_6,type,
g: interval ).
tff(func_def_7,type,
h: 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(f8,axiom,
! [X0: interval,X1: interval,X2: interval] :
( ( before(X0,X1)
& before(X1,X2) )
=> before(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',before_transitive) ).
tff(f9,axiom,
before(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
tff(f10,axiom,
before(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
tff(f11,axiom,
before(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
tff(f12,axiom,
before(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
tff(f13,axiom,
before(e,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
tff(f14,axiom,
before(f,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
tff(f15,axiom,
before(g,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
tff(f16,conjecture,
before(a,h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(f17,negated_conjecture,
~ before(a,h),
inference(negated_conjecture,[status(cth)],[f16]) ).
tff(f18,plain,
~ before(a,h),
inference(flattening,[],[f17]) ).
tff(f19,plain,
! [X0: interval,X1: interval,X2: interval] :
( before(X0,X2)
| ~ before(X0,X1)
| ~ before(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
tff(f20,plain,
! [X0: interval,X1: interval,X2: interval] :
( before(X0,X2)
| ~ before(X0,X1)
| ~ before(X1,X2) ),
inference(flattening,[],[f19]) ).
tff(f25,plain,
! [X2: interval,X0: interval,X1: interval] :
( before(X0,X2)
| ~ before(X0,X1)
| ~ before(X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tff(f26,plain,
before(a,b),
inference(cnf_transformation,[],[f9]) ).
tff(f27,plain,
before(b,c),
inference(cnf_transformation,[],[f10]) ).
tff(f28,plain,
before(c,d),
inference(cnf_transformation,[],[f11]) ).
tff(f29,plain,
before(d,e),
inference(cnf_transformation,[],[f12]) ).
tff(f30,plain,
before(e,f),
inference(cnf_transformation,[],[f13]) ).
tff(f31,plain,
before(f,g),
inference(cnf_transformation,[],[f14]) ).
tff(f32,plain,
before(g,h),
inference(cnf_transformation,[],[f15]) ).
tff(f33,plain,
~ before(a,h),
inference(cnf_transformation,[],[f18]) ).
tff(f35,plain,
! [X0: interval] :
( ~ before(a,X0)
| ~ before(X0,h) ),
inference(resolution,[],[f25,f33]) ).
tff(f37,plain,
~ before(b,h),
inference(resolution,[],[f35,f26]) ).
tff(f48,plain,
! [X0: interval] :
( ~ before(b,X0)
| ~ before(X0,h) ),
inference(resolution,[],[f37,f25]) ).
tff(f53,plain,
~ before(c,h),
inference(resolution,[],[f48,f27]) ).
tff(f56,plain,
! [X0: interval] :
( ~ before(c,X0)
| ~ before(X0,h) ),
inference(resolution,[],[f53,f25]) ).
tff(f59,plain,
~ before(d,h),
inference(resolution,[],[f56,f28]) ).
tff(f62,plain,
! [X0: interval] :
( ~ before(d,X0)
| ~ before(X0,h) ),
inference(resolution,[],[f59,f25]) ).
tff(f64,plain,
~ before(e,h),
inference(resolution,[],[f62,f29]) ).
tff(f67,plain,
! [X0: interval] :
( ~ before(e,X0)
| ~ before(X0,h) ),
inference(resolution,[],[f64,f25]) ).
tff(f69,plain,
~ before(f,h),
inference(resolution,[],[f67,f30]) ).
tff(f83,plain,
! [X0: interval] :
( ~ before(f,X0)
| ~ before(X0,h) ),
inference(resolution,[],[f69,f25]) ).
tff(f89,plain,
~ before(g,h),
inference(resolution,[],[f83,f31]) ).
tff(f91,plain,
$false,
inference(forward_subsumption_resolution,[],[f89,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TIM031_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 18:47:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 2.03/0.67 % (3634690)Detected formulas, will run a generic FOF schedule.
% 2.03/0.67 % (3634700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=784101855:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.03/0.67 % (3634698)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2363101753:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.03/0.67 % (3634698)Refutation not found, incomplete strategy
% 2.03/0.67 % (3634698)------------------------------
% 2.03/0.67 % (3634698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.67 % (3634698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.67 % (3634698)CaDiCaL version: 2.1.3
% 2.03/0.67 % (3634698)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.67 % (3634698)Time elapsed: 0.0000 s
% 2.03/0.67 % (3634698)Peak memory usage: 87 MB
% 2.03/0.67 % (3634700)First to succeed.
% 2.03/0.67 % (3634700)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3634690"
% 2.03/0.67 % (3634696)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=1761002766:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.03/0.67 % (3634699)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2387787089:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.03/0.67 % (3634697)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=4172695047:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.03/0.67 % (3634695)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=722171045:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.03/0.67 % (3634699)Also succeeded, but the first one will report.
% 2.03/0.67 % (3634701)dis-21_1_sil=8000:lcm=predicate:random_seed=2626401709: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)
% 2.03/0.67 % (3634701)Also succeeded, but the first one will report.
% 2.03/0.67 % (3634698)------------------------------
% 2.03/0.67 % (3634698)------------------------------
% 2.03/0.67 % (3634700)Refutation found. Thanks to Tanya!
% 2.03/0.67 % SZS status Theorem for theBenchmark
% 2.03/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.67 % (3634700)------------------------------
% 2.03/0.67 % (3634700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.67 % (3634700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.67 % (3634700)CaDiCaL version: 2.1.3
% 2.03/0.67 % (3634700)Termination reason: Refutation
% 2.03/0.67 % (3634700)Time elapsed: 0.002 s
% 2.03/0.67 % (3634700)Peak memory usage: 88 MB
% 2.03/0.67 % (3634700)Instructions burned: 3 (million)
% 2.03/0.67 % (3634700)------------------------------
% 2.03/0.67 % (3634700)------------------------------
% 2.03/0.67 % (3634690)Success in time 0.258 s
% 2.03/0.67 % Vampire exiting
%------------------------------------------------------------------------------