%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT077_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:47:15 AM UTC 2026
% Result : Theorem 2.87s 1.17s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 61 ( 19 ~; 6 |; 28 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 88 ( 43 atm; 0 fun; 12 num; 33 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 : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 11 usr; 1 con; 0-3 aty)
% Number of variables : 43 ( 34 !; 9 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_2,type,
init: $int > array ).
tff(func_def_3,type,
max: ( array * $int ) > $int ).
tff(func_def_5,type,
rev: ( array * $int ) > array ).
tff(func_def_10,type,
sK0: ( array * $int ) > $int ).
tff(func_def_11,type,
sK1: ( array * $int ) > $int ).
tff(func_def_12,type,
sK2: ( array * $int * array ) > $int ).
tff(func_def_13,type,
sK3: ( array * array ) > $int ).
tff(func_def_14,type,
sK4: ( $int * $int * array ) > $int ).
tff(func_def_15,type,
sK5: $int > $int ).
tff(pred_def_4,type,
sorted: ( array * $int ) > $o ).
tff(pred_def_6,type,
inRange: ( array * $int * $int ) > $o ).
tff(pred_def_7,type,
distinct: ( array * $int ) > $o ).
tff(f6,axiom,
! [X1: $int,X0: array] :
( ! [X2: $int,X3: $int] :
( ( $lesseq(0,X2)
& $less(X2,X3)
& $less(X2,X1)
& $less(X3,X1) )
=> $lesseq(read(X0,X2),read(X0,X3)) )
<=> sorted(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted1) ).
tff(f10,conjecture,
~ ! [X0: $int] :
? [X1: $int] : ~ sorted(rev(init(X1),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
tff(f11,negated_conjecture,
~ ~ ! [X0: $int] :
? [X1: $int] : ~ sorted(rev(init(X1),X0),X0),
inference(negated_conjecture,[status(cth)],[f10]) ).
tff(f12,plain,
! [X1: $int,X0: array] :
( ! [X2: $int,X3: $int] :
( ( ~ $less(X2,0)
& $less(X2,X3)
& $less(X2,X1)
& $less(X3,X1) )
=> ~ $less(read(X0,X3),read(X0,X2)) )
<=> sorted(X0,X1) ),
inference(theory_normalization,[],[f6]) ).
tff(f30,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
<=> ! [X3: $int,X2: $int] :
( ( $less(X3,X0)
& ~ $less(X2,0)
& $less(X2,X0)
& $less(X2,X3) )
=> ~ $less(read(X1,X3),read(X1,X2)) ) ),
inference(rectify,[],[f12]) ).
tff(f33,plain,
! [X0: $int] :
? [X1: $int] : ~ sorted(rev(init(X1),X0),X0),
inference(flattening,[],[f11]) ).
tff(f38,plain,
! [X1: array,X0: $int] :
( ! [X3: $int,X2: $int] :
( ( $less(X3,X0)
& ~ $less(X2,0)
& $less(X2,X0)
& $less(X2,X3) )
=> ~ $less(read(X1,X3),read(X1,X2)) )
=> sorted(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f30]) ).
tff(f39,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
| ? [X3: $int,X2: $int] :
( $less(read(X1,X3),read(X1,X2))
& $less(X3,X0)
& ~ $less(X2,0)
& $less(X2,X0)
& $less(X2,X3) ) ),
inference(ennf_transformation,[],[f38]) ).
tff(f40,plain,
! [X1: array,X0: $int] :
( sorted(X1,X0)
| ? [X2: $int,X3: $int] :
( $less(X2,X3)
& $less(read(X1,X3),read(X1,X2))
& $less(X2,X0)
& ~ $less(X2,0)
& $less(X3,X0) ) ),
inference(flattening,[],[f39]) ).
tff(f46,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ? [X2: $int,X3: $int] :
( $less(X2,X3)
& $less(read(X0,X3),read(X0,X2))
& $less(X2,X1)
& ~ $less(X2,0)
& $less(X3,X1) ) ),
inference(rectify,[],[f40]) ).
tff(f47,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ( $less(sK0(X0,X1),sK1(X0,X1))
& $less(read(X0,sK1(X0,X1)),read(X0,sK0(X0,X1)))
& $less(sK0(X0,X1),X1)
& ~ $less(sK0(X0,X1),0)
& $less(sK1(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f46]) ).
tff(f55,plain,
! [X0: $int] : ~ sorted(rev(init(sK5(X0)),X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f33]) ).
tff(f58,plain,
! [X0: array,X1: $int] :
( ~ $less(sK0(X0,X1),0)
| sorted(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f59,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| $less(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f71,plain,
! [X0: $int] : ~ sorted(rev(init(sK5(X0)),X0),X0),
inference(cnf_transformation,[],[f55]) ).
tff(f100,plain,
! [X0: $int] : $less(sK0(rev(init(sK5(X0)),X0),X0),X0),
inference(resolution,[],[f59,f71]) ).
tff(f101,plain,
sorted(rev(init(sK5(0)),0),0),
inference(resolution,[],[f100,f58]) ).
tff(f103,plain,
$false,
inference(forward_subsumption_resolution,[],[f101,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT077_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 00:07:46 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.87/1.17 % (1301395)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.87/1.17 % (1301534)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3911878948:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.87/1.17 % (1301534)First to succeed.
% 2.87/1.17 % (1301534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1301395"
% 2.87/1.17 % (1301526)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3017121506:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.87/1.17 % (1301528)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1042989437:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.87/1.17 % (1301525)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3140508832:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.87/1.17 % (1301523)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1005329060:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.87/1.17 % (1301530)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1001311972:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.87/1.17 % (1301530)Instruction limit reached!
% 2.87/1.17 % (1301530)------------------------------
% 2.87/1.17 % (1301530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.17 % (1301530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.17 % (1301530)CaDiCaL version: 2.1.3
% 2.87/1.17 % (1301530)Termination reason: Instruction limit
% 2.87/1.17 % (1301530)Termination phase: Saturation
% 2.87/1.17 % (1301530)Time elapsed: 0.004 s
% 2.87/1.17 % (1301530)Peak memory usage: 88 MB
% 2.87/1.17 % (1301530)Instructions burned: 5 (million)
% 2.87/1.17 % (1301528)Instruction limit reached!
% 2.87/1.17 % (1301528)------------------------------
% 2.87/1.17 % (1301528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.17 % (1301528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.17 % (1301528)CaDiCaL version: 2.1.3
% 2.87/1.17 % (1301528)Termination reason: Instruction limit
% 2.87/1.17 % (1301528)Termination phase: Saturation
% 2.87/1.17 % (1301528)Time elapsed: 0.006 s
% 2.87/1.17 % (1301528)Peak memory usage: 88 MB
% 2.87/1.17 % (1301528)Instructions burned: 8 (million)
% 2.87/1.17 % (1301532)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=976183872:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.87/1.17 % (1301525)Also succeeded, but the first one will report.
% 2.87/1.17 % (1301523)Instruction limit reached!
% 2.87/1.17 % (1301523)------------------------------
% 2.87/1.17 % (1301523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.17 % (1301523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.17 % (1301523)CaDiCaL version: 2.1.3
% 2.87/1.17 % (1301523)Termination reason: Instruction limit
% 2.87/1.17 % (1301523)Termination phase: Saturation
% 2.87/1.17 % (1301523)Time elapsed: 0.029 s
% 2.87/1.17 % (1301523)Peak memory usage: 112 MB
% 2.87/1.17 % (1301523)Instructions burned: 13 (million)
% 2.87/1.17 % (1301526)Also succeeded, but the first one will report.
% 2.87/1.17 % (1301532)Also succeeded, but the first one will report.
% 2.87/1.17 % (1301534)Refutation found. Thanks to Tanya!
% 2.87/1.17 % SZS status Theorem for theBenchmark
% 2.87/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.17 % (1301534)------------------------------
% 2.87/1.17 % (1301534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.17 % (1301534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.17 % (1301534)CaDiCaL version: 2.1.3
% 2.87/1.17 % (1301534)Termination reason: Refutation
% 2.87/1.17 % (1301534)Time elapsed: 0.019 s
% 2.87/1.17 % (1301534)Peak memory usage: 112 MB
% 2.87/1.17 % (1301534)Instructions burned: 9 (million)
% 2.87/1.17 % (1301534)------------------------------
% 2.87/1.17 % (1301534)------------------------------
% 2.87/1.17 % (1301395)Success in time 0.325 s
% 2.87/1.17 % Vampire exiting
%------------------------------------------------------------------------------