%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM031_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 02:33:38 PM UTC 2026
% Result : Theorem 0.11s 0.27s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% 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 : 29 ( 15 ~; 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/sandbox/benchmark/Axioms/TIM002_0.ax',before_transitive) ).
tff(f9,axiom,
before(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(f10,axiom,
before(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
tff(f11,axiom,
before(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
tff(f12,axiom,
before(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
tff(f13,axiom,
before(e,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
tff(f14,axiom,
before(f,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
tff(f15,axiom,
before(g,h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
tff(f16,conjecture,
before(a,h),
file('/export/starexec/sandbox/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(X1,X2)
| ~ before(X0,X1)
| before(X0,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(f44,plain,
! [X0: interval] :
( ~ before(X0,b)
| before(X0,c) ),
inference(resolution,[],[f25,f27]) ).
tff(f45,plain,
! [X0: interval] :
( ~ before(X0,c)
| before(X0,d) ),
inference(resolution,[],[f25,f28]) ).
tff(f47,plain,
! [X0: interval] :
( ~ before(X0,e)
| before(X0,f) ),
inference(resolution,[],[f25,f30]) ).
tff(f49,plain,
! [X0: interval] :
( ~ before(X0,g)
| before(X0,h) ),
inference(resolution,[],[f25,f32]) ).
tff(f55,plain,
before(a,c),
inference(resolution,[],[f44,f26]) ).
tff(f57,plain,
before(a,d),
inference(resolution,[],[f55,f45]) ).
tff(f64,plain,
before(d,f),
inference(resolution,[],[f47,f29]) ).
tff(f70,plain,
! [X0: interval] :
( ~ before(X0,d)
| before(X0,f) ),
inference(resolution,[],[f64,f25]) ).
tff(f72,plain,
before(f,h),
inference(resolution,[],[f49,f31]) ).
tff(f76,plain,
! [X0: interval] :
( ~ before(X0,f)
| before(X0,h) ),
inference(resolution,[],[f72,f25]) ).
tff(f108,plain,
before(a,f),
inference(resolution,[],[f70,f57]) ).
tff(f128,plain,
before(a,h),
inference(resolution,[],[f108,f76]) ).
tff(f132,plain,
$false,
inference(forward_subsumption_resolution,[],[f128,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TIM031_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n009.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 18:48:00 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.27 % (3345049)Will run a generic schedule for satisfiability detection.
% 0.11/0.27 % (3345055)% WARNING: option uhcvi not known.
% 0.11/0.27 % (3345057)dis+10_1_sil=32000:sp=arity:random_seed=3343104216:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.27 % (3345054)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1115690188_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.27 % (3345055)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1570043755:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.27 % (3345056)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=237240452:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.27 % (3345058)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=443689138:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.27 % Detected minimum model sizes of [1]
% 0.11/0.27 % Detected maximum model sizes of [8]
% 0.11/0.27 % TRYING [1]
% 0.11/0.27 % TRYING [2]
% 0.11/0.27 % TRYING [3]
% 0.11/0.27 % TRYING [4]
% 0.11/0.27 % (3345060)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2604014063:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.27 % (3345057) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3345049-3345057"...
% 0.11/0.27 % TRYING [5]
% 0.11/0.27 % TRYING [6]
% 0.11/0.27 % (3345058) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3345049-3345058"...
% 0.11/0.27 % (3345055) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3345049-3345055"...
% 0.11/0.27 % (3345060) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3345049-3345060"...
% 0.11/0.27 % TRYING [7]
% 0.11/0.27 % (3345057)...printing done.
% 0.11/0.27 % (3345056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3345049-3345056"...
% 0.11/0.27 % (3345060)...printing done.
% 0.11/0.27 % TRYING [8]
% 0.11/0.27 % (3345058)...printing done.
% 0.11/0.27 % (3345055)...printing done.
% 0.11/0.27 % (3345057)Refutation found. Thanks to Tanya!
% 0.11/0.27 % SZS status Theorem for theBenchmark
% 0.11/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.27 % (3345057)------------------------------
% 0.11/0.27 % (3345057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.27 % (3345057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.27 % (3345057)CaDiCaL version: 2.1.3
% 0.11/0.27 % (3345057)Termination reason: Refutation
% 0.11/0.27 % (3345057)Time elapsed: 0.003 s
% 0.11/0.27 % (3345057)Peak memory usage: 11 MB
% 0.11/0.27 % (3345057)Instructions burned: 3 (million)
% 0.11/0.27 % (3345049)Success in time 0.045 s
% 0.11/0.27 % Vampire exiting
%------------------------------------------------------------------------------