%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM032_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 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(f2,axiom,
! [X0: interval,X1: interval] :
( meets(X0,X1)
<=> met_by(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/TIM002_0.ax',meets_metby) ).
tff(f9,axiom,
meets(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
tff(f10,axiom,
met_by(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
tff(f13,conjecture,
meets(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(f14,negated_conjecture,
~ meets(a,b),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
~ meets(a,b),
inference(flattening,[],[f14]) ).
tff(f23,plain,
! [X0: interval,X1: interval] :
( ( meets(X0,X1)
| ~ met_by(X1,X0) )
& ( met_by(X1,X0)
| ~ meets(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
tff(f27,plain,
! [X0: interval,X1: interval] :
( meets(X0,X1)
| ~ met_by(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
tff(f30,plain,
meets(a,b),
inference(cnf_transformation,[],[f9]) ).
tff(f31,plain,
met_by(c,b),
inference(cnf_transformation,[],[f10]) ).
tff(f32,plain,
~ meets(a,b),
inference(cnf_transformation,[],[f15]) ).
tff(f33,plain,
! [X0: interval,X1: interval] :
( ~ meets(X0,X1)
| ~ met_by(X1,X0) ),
inference(consistent_polarity_flipping,[],[f27]) ).
tff(f34,plain,
~ meets(a,b),
inference(consistent_polarity_flipping,[],[f30]) ).
tff(f35,plain,
meets(a,b),
inference(consistent_polarity_flipping,[],[f32]) ).
tff(f39,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f33,f34,f31,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TIM032_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 18:48:03 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (97725)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (97741)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3101154764_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % Detected minimum model sizes of [1]
% 0.09/0.26 % Detected maximum model sizes of [3]
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % (97741) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-97725-97741"...
% 0.09/0.26 % (97741)...printing done.
% 0.09/0.26 % (97741)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (97741)------------------------------
% 0.09/0.26 % (97741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (97741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (97741)CaDiCaL version: 2.1.3
% 0.09/0.26 % (97741)Termination reason: Refutation
% 0.09/0.26 % (97741)Time elapsed: 0.001 s
% 0.09/0.26 % (97741)Peak memory usage: 11 MB
% 0.09/0.26 % (97741)Instructions burned: 1 (million)
% 0.09/0.26 % (97725)Success in time 0.034 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------