%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT067_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:47:13 AM UTC 2026
% Result : Theorem 4.27s 1.42s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 6 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 44 ( 0 atm; 13 fun; 13 num; 18 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 21 !; 6 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
toop: heap > $int ).
tff(func_def_2,type,
sel: ( heap * $int ) > $int ).
tff(func_def_3,type,
length: heap > $int ).
tff(func_def_4,type,
app: ( heap * $int ) > heap ).
tff(func_def_5,type,
get: heap > heap ).
tff(func_def_10,type,
sK0: heap ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: $int ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f3,axiom,
! [X1: heap,X2: $int,X0: $int] :
( ( X2 != $sum(1,length(X1)) )
=> ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_3) ).
tff(f15,conjecture,
! [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ( X1 = $sum(1,length(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_2) ).
tff(f16,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ( X1 = $sum(1,length(X2)) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f29,plain,
! [X2: $int,X1: $int,X0: heap] :
( ( $sum(1,length(X0)) != X1 )
=> ( sel(app(X0,X2),X1) = sel(X0,X1) ) ),
inference(rectify,[],[f3]) ).
tff(f36,plain,
? [X2: heap,X0: $int,X1: $int] :
( ( $sum(1,length(X2)) != X1 )
& ( sel(app(X2,X0),X1) != sel(X2,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f37,plain,
! [X2: $int,X0: heap,X1: $int] :
( ( sel(app(X0,X2),X1) = sel(X0,X1) )
| ( $sum(1,length(X0)) = X1 ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f44,plain,
! [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X0),X2) = sel(X1,X2) )
| ( $sum(1,length(X1)) = X2 ) ),
inference(rectify,[],[f37]) ).
tff(f48,plain,
? [X0: heap,X1: $int,X2: $int] :
( ( $sum(1,length(X0)) != X2 )
& ( sel(X0,X2) != sel(app(X0,X1),X2) ) ),
inference(rectify,[],[f36]) ).
tff(f49,plain,
( ( sK2 != $sum(1,length(sK0)) )
& ( sel(app(sK0,sK1),sK2) != sel(sK0,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f48]) ).
tff(f59,plain,
! [X2: $int,X0: $int,X1: heap] :
( ( sel(app(X1,X0),X2) = sel(X1,X2) )
| ( $sum(1,length(X1)) = X2 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f63,plain,
sel(app(sK0,sK1),sK2) != sel(sK0,sK2),
inference(cnf_transformation,[],[f49]) ).
tff(f64,plain,
sK2 != $sum(1,length(sK0)),
inference(cnf_transformation,[],[f49]) ).
tff(f413,plain,
( ( sK2 = $sum(1,length(sK0)) )
| ( sel(sK0,sK2) != sel(sK0,sK2) ) ),
inference(superposition,[],[f63,f59]) ).
tff(f414,plain,
sK2 = $sum(1,length(sK0)),
inference(trivial_inequality_removal,[],[f413]) ).
tff(f415,plain,
$false,
inference(forward_subsumption_resolution,[],[f414,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT067_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 00:03:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 4.27/1.42 % (4149573)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.27/1.42 % (4149682)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1718746564:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.27/1.42 % (4149681)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1194939963:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.27/1.42 % (4149684)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1165707961:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.27/1.42 % (4149685)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2498893755:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.27/1.42 % (4149683)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1420645308:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.27/1.42 % (4149685)Instruction limit reached!
% 4.27/1.42 % (4149685)------------------------------
% 4.27/1.42 % (4149685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.42 % (4149685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.42 % (4149685)CaDiCaL version: 2.1.3
% 4.27/1.42 % (4149685)Termination reason: Instruction limit
% 4.27/1.42 % (4149685)Termination phase: Saturation
% 4.27/1.42 % (4149685)Time elapsed: 0.005 s
% 4.27/1.42 % (4149685)Peak memory usage: 89 MB
% 4.27/1.42 % (4149685)Instructions burned: 5 (million)
% 4.27/1.42 % (4149684)Instruction limit reached!
% 4.27/1.42 % (4149684)------------------------------
% 4.27/1.42 % (4149684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.42 % (4149684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.42 % (4149684)CaDiCaL version: 2.1.3
% 4.27/1.42 % (4149684)Termination reason: Instruction limit
% 4.27/1.42 % (4149684)Termination phase: Saturation
% 4.27/1.42 % (4149684)Time elapsed: 0.006 s
% 4.27/1.42 % (4149684)Peak memory usage: 88 MB
% 4.27/1.42 % (4149684)Instructions burned: 7 (million)
% 4.27/1.42 % (4149687)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4148822408:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.27/1.42 % (4149686)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3610098659:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.27/1.42 % (4149681)Instruction limit reached!
% 4.27/1.42 % (4149681)------------------------------
% 4.27/1.42 % (4149681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.42 % (4149681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.42 % (4149681)CaDiCaL version: 2.1.3
% 4.27/1.42 % (4149681)Termination reason: Instruction limit
% 4.27/1.42 % (4149681)Termination phase: Saturation
% 4.27/1.42 % (4149681)Time elapsed: 0.030 s
% 4.27/1.42 % (4149681)Peak memory usage: 115 MB
% 4.27/1.42 % (4149681)Instructions burned: 12 (million)
% 4.27/1.42 % (4149683)First to succeed.
% 4.27/1.42 % (4149683)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4149573"
% 4.27/1.42 % (4149682)Also succeeded, but the first one will report.
% 4.27/1.42 % (4149687)Instruction limit reached!
% 4.27/1.42 % (4149687)------------------------------
% 4.27/1.42 % (4149687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.42 % (4149687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.42 % (4149687)CaDiCaL version: 2.1.3
% 4.27/1.42 % (4149687)Termination reason: Instruction limit
% 4.27/1.42 % (4149687)Termination phase: Saturation
% 4.27/1.42 % (4149687)Time elapsed: 0.047 s
% 4.27/1.42 % (4149687)Peak memory usage: 116 MB
% 4.27/1.42 % (4149687)Instructions burned: 33 (million)
% 4.27/1.42 % (4149686)Also succeeded, but the first one will report.
% 4.27/1.42 % (4149722)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3959691979:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.27/1.42 % (4149721)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2403688174:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.27/1.42 % (4149721)Also succeeded, but the first one will report.
% 4.27/1.42 % (4149722)Also succeeded, but the first one will report.
% 4.27/1.42 % (4149724)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3149848052:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.27/1.42 % (4149724)Instruction limit reached!
% 4.27/1.42 % (4149724)------------------------------
% 4.27/1.42 % (4149724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.42 % (4149724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.42 % (4149724)CaDiCaL version: 2.1.3
% 4.27/1.42 % (4149724)Termination reason: Instruction limit
% 4.27/1.42 % (4149724)Termination phase: Saturation
% 4.27/1.42 % (4149724)Time elapsed: 0.012 s
% 4.27/1.42 % (4149724)Peak memory usage: 90 MB
% 4.27/1.42 % (4149724)Instructions burned: 16 (million)
% 4.27/1.42 % (4149725)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1584308243:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.27/1.42 % (4149725)Also succeeded, but the first one will report.
% 4.27/1.42 % (4149683)Refutation found. Thanks to Tanya!
% 4.27/1.42 % SZS status Theorem for theBenchmark
% 4.27/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.42 % (4149683)------------------------------
% 4.27/1.42 % (4149683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.42 % (4149683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.42 % (4149683)CaDiCaL version: 2.1.3
% 4.27/1.42 % (4149683)Termination reason: Refutation
% 4.27/1.42 % (4149683)Time elapsed: 0.040 s
% 4.27/1.42 % (4149683)Peak memory usage: 112 MB
% 4.27/1.42 % (4149683)Instructions burned: 23 (million)
% 4.27/1.42 % (4149683)------------------------------
% 4.27/1.42 % (4149683)------------------------------
% 4.27/1.42 % (4149573)Success in time 0.533 s
% 4.27/1.42 % Vampire exiting
%------------------------------------------------------------------------------