%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT022_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:47:58 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 15 ~; 14 |; 10 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 71 ( 15 atm; 0 fun; 34 num; 22 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: collection ).
tff(func_def_11,type,
sK2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f4,axiom,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,X1)
| ( X0 = X2 ) )
<=> in(X0,add(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002_0.ax',ax4) ).
tff(f5,axiom,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,X1)
& ( X0 != X2 ) )
<=> in(X0,remove(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002_0.ax',ax5) ).
tff(f6,conjecture,
! [X0: collection,X1: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) )
& ( X0 = add(2,remove(7,X1)) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) )
& ( X0 = add(2,remove(7,X1)) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
~ ! [X0: collection,X1: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) )
& ( X0 = add(2,remove(7,X1)) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $less(0,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f21,plain,
? [X0: collection,X1: collection] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X0) )
& ! [X2: $int] :
( $less(0,X2)
| ~ in(X2,X1) )
& ( X0 = add(2,remove(7,X1)) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f22,plain,
? [X0: collection,X1: collection] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X0) )
& ! [X2: $int] :
( $less(0,X2)
| ~ in(X2,X1) )
& ( X0 = add(2,remove(7,X1)) ) ),
inference(flattening,[],[f21]) ).
tff(f28,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| ( X0 = X2 )
| in(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tff(f31,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tff(f32,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f33,plain,
~ $less(0,sK2),
inference(cnf_transformation,[],[f22]) ).
tff(f34,plain,
! [X2: $int] :
( ~ in(X2,sK1)
| $less(0,X2) ),
inference(cnf_transformation,[],[f22]) ).
tff(f35,plain,
sK0 = add(2,remove(7,sK1)),
inference(cnf_transformation,[],[f22]) ).
tff(f177,plain,
! [X0: $int] :
( in(X0,remove(7,sK1))
| ( 2 = X0 )
| ~ in(X0,sK0) ),
inference(superposition,[],[f28,f35]) ).
tff(f192,plain,
! [X0: $int] :
( in(X0,sK1)
| ~ in(X0,sK0)
| ( 2 = X0 ) ),
inference(resolution,[],[f177,f31]) ).
tff(f209,plain,
! [X0: $int] :
( ~ in(X0,sK0)
| ( 2 = X0 )
| $less(0,X0) ),
inference(resolution,[],[f192,f34]) ).
tff(f224,plain,
( ( 2 = sK2 )
| $less(0,sK2) ),
inference(resolution,[],[f209,f32]) ).
tff(f226,plain,
2 = sK2,
inference(forward_subsumption_resolution,[],[f224,f33]) ).
tff(f251,plain,
~ $less(0,2),
inference(superposition,[],[f33,f226]) ).
tff(f258,plain,
$false,
inference(evaluation,[],[f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT022_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:05:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (2301516)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (2301525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=829738730:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (2301522)% WARNING: option uhcvi not known.
% 0.08/0.26 % (2301525) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2301516-2301525"...
% 0.08/0.26 % (2301525)...printing done.
% 0.08/0.26 % (2301525)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (2301525)------------------------------
% 0.08/0.26 % (2301525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (2301525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (2301525)CaDiCaL version: 2.1.3
% 0.08/0.26 % (2301525)Termination reason: Refutation
% 0.08/0.26 % (2301525)Time elapsed: 0.005 s
% 0.08/0.26 % (2301525)Peak memory usage: 12 MB
% 0.08/0.26 % (2301525)Instructions burned: 11 (million)
% 0.08/0.26 % (2301516)Success in time 0.028 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------