%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT083_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 : n002.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 09:47:16 AM UTC 2026
% Result : Theorem 0.30s 1.91s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 41 ( 0 atm; 9 fun; 28 num; 4 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 8 :)
% 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_13,type,
sK0: ( $int * list ) > list ).
tff(func_def_14,type,
sK1: ( $int * list ) > $int ).
tff(func_def_15,type,
sK2: ( $int * list ) > list ).
tff(func_def_16,type,
sK3: ( $int * list ) > $int ).
tff(func_def_17,type,
sK4: ( $int * list ) > list ).
tff(func_def_18,type,
sK5: ( $int * list ) > $int ).
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/sandbox/benchmark/theBenchmark.p',l) ).
tff(f8,axiom,
! [X1: list,X0: $int] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
tff(f15,conjecture,
length(cons(1,cons(2,nil))) != 3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f16,negated_conjecture,
( ( ~ length(cons(1,cons(2,nil))) ) != 3 ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f31,plain,
length(cons(1,cons(2,nil))) = 3,
inference(flattening,[],[f16]) ).
tff(f33,plain,
! [X1: $int,X0: list] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(rectify,[],[f8]) ).
tff(f55,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f33]) ).
tff(f73,plain,
length(cons(1,cons(2,nil))) = 3,
inference(cnf_transformation,[],[f31]) ).
tff(f77,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f79,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f55]) ).
tff(f169,plain,
3 = $sum(1,length(cons(2,nil))),
inference(superposition,[],[f79,f73]) ).
tff(f180,plain,
3 = $sum(1,$sum(1,length(nil))),
inference(forward_demodulation,[],[f169,f79]) ).
tff(f182,plain,
3 = $sum(1,$sum(1,0)),
inference(forward_demodulation,[],[f180,f77]) ).
tff(f183,plain,
$false,
inference(evaluation,[],[f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : DAT083_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.27 % Computer : n002.cluster.edu
% 0.22/0.27 % Model : x86_64 x86_64
% 0.22/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.27 % Memory : 8046.5625MB
% 0.22/0.27 % OS : Linux 6.8.0-71-generic
% 0.22/0.27 % CPULimit : 300
% 0.22/0.27 % WCLimit : 300
% 0.22/0.27 % DateTime : Tue Sep 29 00:10:37 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.33 Running first-order theorem proving
% 0.22/0.33 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
% 0.30/1.91 % (911979)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.30/1.91 % (911985)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3228658718:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.30/1.91 % (911987)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=431860492:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.30/1.91 % (911987)First to succeed.
% 0.30/1.91 % (911987)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-911979"
% 0.30/1.91 % (911985)Also succeeded, but the first one will report.
% 0.30/1.91 % (911984)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1825273246:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.30/1.91 % (911986)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=892713207:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.30/1.91 % (911988)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1916832905:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.30/1.91 % (911989)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1011585949:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.30/1.91 % (911990)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2798257564:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.30/1.91 % (911988)Instruction limit reached!
% 0.30/1.91 % (911988)------------------------------
% 0.30/1.91 % (911988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/1.91 % (911988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/1.91 % (911988)CaDiCaL version: 2.1.3
% 0.30/1.91 % (911988)Termination reason: Instruction limit
% 0.30/1.91 % (911988)Termination phase: Saturation
% 0.30/1.91 % (911988)Time elapsed: 0.006 s
% 0.30/1.91 % (911988)Peak memory usage: 89 MB
% 0.30/1.91 % (911988)Instructions burned: 4 (million)
% 0.30/1.91 % (911984)Instruction limit reached!
% 0.30/1.91 % (911984)------------------------------
% 0.30/1.91 % (911984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/1.91 % (911984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/1.91 % (911984)CaDiCaL version: 2.1.3
% 0.30/1.91 % (911984)Termination reason: Instruction limit
% 0.30/1.91 % (911984)Termination phase: Saturation
% 0.30/1.91 % (911984)Time elapsed: 0.044 s
% 0.30/1.91 % (911984)Peak memory usage: 115 MB
% 0.30/1.91 % (911984)Instructions burned: 12 (million)
% 0.30/1.91 % (911989)Also succeeded, but the first one will report.
% 0.30/1.91 % (911990)Also succeeded, but the first one will report.
% 0.30/1.91 % (911986)Also succeeded, but the first one will report.
% 0.30/1.91 % (911998)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1231824995:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 0.30/1.91 % (911998)Also succeeded, but the first one will report.
% 0.30/1.91 % (911987)Refutation found. Thanks to Tanya!
% 0.30/1.91 % SZS status Theorem for theBenchmark
% 0.30/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/1.91 % (911987)------------------------------
% 0.30/1.91 % (911987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/1.91 % (911987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/1.91 % (911987)CaDiCaL version: 2.1.3
% 0.30/1.91 % (911987)Termination reason: Refutation
% 0.30/1.91 % (911987)Time elapsed: 0.004 s
% 0.30/1.91 % (911987)Peak memory usage: 89 MB
% 0.30/1.91 % (911987)Instructions burned: 4 (million)
% 0.30/1.91 % (911987)------------------------------
% 0.30/1.91 % (911987)------------------------------
% 0.30/1.91 % (911979)Success in time 0.59 s
% 0.30/1.91 % Vampire exiting
%------------------------------------------------------------------------------