%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT092_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:47:17 AM UTC 2026
% Result : Theorem 2.87s 1.16s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 15 unt; 0 typ; 1 def)
% Number of atoms : 27 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 5 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 21 ( 0 atm; 5 fun; 13 num; 3 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 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_11,type,
sK0: ( list * $int ) > $int ).
tff(func_def_12,type,
sK1: ( list * $int ) > list ).
tff(func_def_13,type,
sK2: ( list * $int ) > list ).
tff(func_def_14,type,
sK3: ( list * $int ) > $int ).
tff(func_def_15,type,
sK4: ( list * $int ) > $int ).
tff(func_def_16,type,
sK5: ( list * $int ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f7,axiom,
length(nil) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
tff(f8,axiom,
! [X1: list,X0: $int] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1) ).
tff(f12,axiom,
! [X0: list] : ( append(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_6) ).
tff(f15,conjecture,
~ ! [X0: list,X1: list] : ( length(append(X0,X1)) = length(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f16,negated_conjecture,
~ ~ ! [X0: list,X1: list] : ( length(append(X0,X1)) = length(X0) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f36,plain,
! [X0: list,X1: list] : ( length(append(X0,X1)) = length(X0) ),
inference(flattening,[],[f16]) ).
tff(f41,plain,
! [X0: list,X1: $int] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
inference(rectify,[],[f8]) ).
tff(f57,plain,
! [X0: list,X1: $int] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
inference(cnf_transformation,[],[f41]) ).
tff(f62,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f77,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(cnf_transformation,[],[f12]) ).
tff(f80,plain,
! [X0: list,X1: list] : ( length(append(X0,X1)) = length(X0) ),
inference(cnf_transformation,[],[f36]) ).
tff(f89,definition,
( spl6_1
<=> ( 0 = length(nil) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
tff(f91,plain,
( ( 0 = length(nil) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f89]) ).
tff(f92,plain,
spl6_1,
inference(avatar_split_clause,[],[f62,f89]) ).
tff(f93,plain,
! [X0: list] : ( length(nil) = length(X0) ),
inference(superposition,[],[f80,f77]) ).
tff(f94,plain,
( ! [X0: list] : ( 0 = length(X0) )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f93,f91]) ).
tff(f142,plain,
( ! [X0: list] : ( 0 = $sum(1,length(X0)) )
| ~ spl6_1 ),
inference(superposition,[],[f57,f94]) ).
tff(f147,plain,
( ( 0 = $sum(1,0) )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f142,f94]) ).
tff(f148,plain,
( $false
| ~ spl6_1 ),
inference(evaluation,[],[f147]) ).
tff(f149,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f148]) ).
tff(f150,plain,
$false,
inference(avatar_smt_refutation,[],[f149,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT092_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.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 00:09:58 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/1.16 % (2155877)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.87/1.16 % (2155888)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3976749400:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.87/1.16 % (2155888)First to succeed.
% 2.87/1.16 % (2155888)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2155877"
% 2.87/1.16 % (2155887)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2669804634:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.87/1.16 % (2155886)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1808712387:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.87/1.16 % (2155885)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=915972294:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.87/1.16 % (2155883)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1606920847:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.87/1.16 % (2155884)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3606284768:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.87/1.16 % (2155882)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1674711917:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.87/1.16 % (2155885)Also succeeded, but the first one will report.
% 2.87/1.16 % (2155886)Instruction limit reached!
% 2.87/1.16 % (2155886)------------------------------
% 2.87/1.16 % (2155886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.16 % (2155886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.16 % (2155886)CaDiCaL version: 2.1.3
% 2.87/1.16 % (2155886)Termination reason: Instruction limit
% 2.87/1.16 % (2155886)Termination phase: Saturation
% 2.87/1.16 % (2155886)Time elapsed: 0.004 s
% 2.87/1.16 % (2155886)Peak memory usage: 88 MB
% 2.87/1.16 % (2155886)Instructions burned: 5 (million)
% 2.87/1.16 % (2155882)Instruction limit reached!
% 2.87/1.16 % (2155882)------------------------------
% 2.87/1.16 % (2155882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.16 % (2155882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.16 % (2155882)CaDiCaL version: 2.1.3
% 2.87/1.16 % (2155882)Termination reason: Instruction limit
% 2.87/1.16 % (2155882)Termination phase: Saturation
% 2.87/1.16 % (2155882)Time elapsed: 0.031 s
% 2.87/1.16 % (2155882)Peak memory usage: 114 MB
% 2.87/1.16 % (2155882)Instructions burned: 12 (million)
% 2.87/1.16 % (2155884)Also succeeded, but the first one will report.
% 2.87/1.16 % (2155887)Also succeeded, but the first one will report.
% 2.87/1.16 % (2155883)Also succeeded, but the first one will report.
% 2.87/1.16 % (2155888)Refutation found. Thanks to Tanya!
% 2.87/1.16 % SZS status Theorem for theBenchmark
% 2.87/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.16 % (2155888)------------------------------
% 2.87/1.16 % (2155888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.16 % (2155888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.16 % (2155888)CaDiCaL version: 2.1.3
% 2.87/1.16 % (2155888)Termination reason: Refutation
% 2.87/1.16 % (2155888)Time elapsed: 0.022 s
% 2.87/1.16 % (2155888)Peak memory usage: 116 MB
% 2.87/1.16 % (2155888)Instructions burned: 13 (million)
% 2.87/1.16 % (2155888)------------------------------
% 2.87/1.16 % (2155888)------------------------------
% 2.87/1.16 % (2155877)Success in time 0.319 s
% 2.87/1.16 % Vampire exiting
%------------------------------------------------------------------------------